From 4ed9dad72517d5405b87127cedca6cf6e8183429 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?Dav=C3=ADd=20Brakenhoff?= Date: Tue, 19 Dec 2023 15:26:15 +0100 Subject: [PATCH] delete moved notebooks from notebook dir - update tests accordingly --- docs/03examples/data/nb5_riv.csv | 10894 ------------------- docs/05api/index.rst | 2 +- docs/index.rst | 2 + notebooks/aem_ttim_sol.ipynb | 582 - notebooks/circareasink_example.ipynb | 371 - notebooks/compare_wells_linesink.ipynb | 185 - notebooks/data/oudekorendijk_h30.dat | 34 - notebooks/data/oudekorendijk_h90.dat | 35 - notebooks/data/pumptest_neuman.txt | 72 - notebooks/data/slugtest.txt | 61 - notebooks/figs/neuman.png | Bin 89884 -> 0 bytes notebooks/line-sink-ditch.ipynb | 193 - notebooks/line_sink_well_sol.ipynb | 284 - notebooks/meandering_river.ipynb | 132 - notebooks/pathline_trace.ipynb | 738 -- notebooks/pumpingtest.ipynb | 849 -- notebooks/pumpingtest_hypothetical.ipynb | 766 -- notebooks/theis_storage.ipynb | 370 - notebooks/ttim_exercise1_sol.ipynb | 329 - notebooks/ttim_figures.ipynb | 132 - notebooks/ttim_neuman_comparison.ipynb | 221 - notebooks/ttim_pumptest_neuman.ipynb | 469 - notebooks/ttim_slugtest.ipynb | 335 - notebooks/well_example.ipynb | 782 -- notebooks/well_near_river_or_wall.ipynb | 252 - notebooks/well_near_wall.ipynb | 213 - notebooks/wells_in_different_systems.ipynb | 311 - tests/test_notebooks.py | 17 +- 28 files changed, 15 insertions(+), 18616 deletions(-) delete mode 100644 docs/03examples/data/nb5_riv.csv delete mode 100644 notebooks/aem_ttim_sol.ipynb delete mode 100644 notebooks/circareasink_example.ipynb delete mode 100644 notebooks/compare_wells_linesink.ipynb delete mode 100644 notebooks/data/oudekorendijk_h30.dat delete mode 100644 notebooks/data/oudekorendijk_h90.dat delete mode 100755 notebooks/data/pumptest_neuman.txt delete mode 100755 notebooks/data/slugtest.txt delete mode 100644 notebooks/figs/neuman.png delete mode 100644 notebooks/line-sink-ditch.ipynb delete mode 100755 notebooks/line_sink_well_sol.ipynb delete mode 100644 notebooks/meandering_river.ipynb delete mode 100644 notebooks/pathline_trace.ipynb delete mode 100644 notebooks/pumpingtest.ipynb delete mode 100644 notebooks/pumpingtest_hypothetical.ipynb delete mode 100644 notebooks/theis_storage.ipynb delete mode 100755 notebooks/ttim_exercise1_sol.ipynb delete mode 100644 notebooks/ttim_figures.ipynb delete mode 100644 notebooks/ttim_neuman_comparison.ipynb delete mode 100755 notebooks/ttim_pumptest_neuman.ipynb delete mode 100755 notebooks/ttim_slugtest.ipynb delete mode 100644 notebooks/well_example.ipynb delete mode 100644 notebooks/well_near_river_or_wall.ipynb delete mode 100644 notebooks/well_near_wall.ipynb delete mode 100644 notebooks/wells_in_different_systems.ipynb diff --git a/docs/03examples/data/nb5_riv.csv b/docs/03examples/data/nb5_riv.csv deleted file mode 100644 index 26ab8b0..0000000 --- a/docs/03examples/data/nb5_riv.csv +++ /dev/null @@ -1,10894 +0,0 @@ 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river in a single aquifer. + .. figure:: _static/example_output.png :figwidth: 500px diff --git a/notebooks/aem_ttim_sol.ipynb b/notebooks/aem_ttim_sol.ipynb deleted file mode 100644 index 374d930..0000000 --- a/notebooks/aem_ttim_sol.ipynb +++ /dev/null @@ -1,582 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Head data is generated for a pumping test in a two-aquifer model. The well starts pumping at time $t=0$ with a discharge $Q=800$ m$^3$/d. The head is measured in an observation well 10 m from the pumping well. The thickness of the aquifer is 20 m. Questions:\n", - "\n", - "1. Determine the optimal values of the hydraulic conductivity and specific storage coefficient of the aquifer when the aquifer is approximated as confined. Use a least squares approach and make use of the `fmin` function of `scipy.optimize` to find the optimal values. Plot the data with dots and the best-fit model in one graph. Print the optimal values of $k$ and $S_s$ to the screen as well as the root mean squared error of the residuals. \n", - "\n", - "2. Repeat Question 1 but now approximate the aquifer as semi-confined. Plot the data with dots and the best-fit model in one graph. Print to the screen the optimal values of $k$, $S_s$ and $c$ to the screen as well as the root mean squared error of the residuals. Is the semi-cofined model a better fit than the confined model?" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "def generate_data():\n", - " # 2 layer model with some random error\n", - " ml = ttim.ModelMaq(\n", - " kaq=[10, 20],\n", - " z=[0, -20, -22, -42],\n", - " c=[1000],\n", - " Saq=[0.0002, 0.0001],\n", - " tmin=0.001,\n", - " tmax=100,\n", - " )\n", - " w = ttim.Well(ml, 0, 0, rw=0.3, tsandQ=[(0, 800)])\n", - " ml.solve()\n", - " t = np.logspace(-2, 1, 100)\n", - " h = ml.head(10, 0, t)\n", - " plt.figure()\n", - " r = 0.01 * np.random.randn(100)\n", - " n = np.zeros_like(r)\n", - " alpha = 0.8\n", - " for i in range(1, len(n)):\n", - " n[i] = 0.8 * n[i - 1] + r[i]\n", - " ho = h[0] + n\n", - " plt.plot(t, ho, \".\")\n", - " data = np.zeros((len(ho), 2))\n", - " data[:, 0] = t\n", - " data[:, 1] = ho\n", - " # np.savetxt('pumpingtestdata.txt', data, fmt='%2.3f', header='time (d), head (m)')\n", - " return data" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "np.random.seed(11)\n", - "data = generate_data()\n", - "to = data[:, 0]\n", - "ho = data[:, 1]" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "def func(p, to=to, ho=ho, returnmodel=False):\n", - " k = p[0]\n", - " S = p[1]\n", - " ml = ttim.ModelMaq(kaq=k, z=[0, -20], Saq=S, tmin=0.001, tmax=100)\n", - " w = ttim.Well(ml, 0, 0, rw=0.3, tsandQ=[(0, 800)])\n", - " ml.solve(silent=True)\n", - " if returnmodel:\n", - " return ml\n", - " h = ml.head(10, 0, to)\n", - " return np.sum((h[0] - ho) ** 2)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.216911\n", - " Iterations: 35\n", - " Function evaluations: 71\n", - "optimal parameters: [1.16407991e+01 1.16006081e-04]\n", - "rmse: 0.04657368512672105\n" - ] - } - ], - "source": [ - "from scipy.optimize import fmin\n", - "\n", - "lsopt = fmin(func, [10, 1e-4])\n", - "print(\"optimal parameters:\", lsopt)\n", - "print(\"rmse:\", np.sqrt(func(lsopt) / len(ho)))" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ml = func(lsopt, returnmodel=True)\n", - "plt.figure()\n", - "plt.plot(data[:, 0], data[:, 1], \".\", label=\"observed\")\n", - "hm = ml.head(10, 0, to)\n", - "plt.plot(to, hm[0], \"r\", label=\"modeled\")\n", - "plt.legend()\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\");" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ".....................\n", - "Fit succeeded.\n", - "rmse: 0.04657368442245464\n" - ] - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=10, pmin=0.1, pmax=1000)\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-4, pmin=1e-5, pmax=1e-3)\n", - "cal.series(name=\"obs1\", x=10, y=0, layer=0, t=to, h=ho)\n", - "cal.fit(report=False)\n", - "print(\"rmse:\", cal.rmse())" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq011.6412020.1107400.9512780.100001000.00010.0000[11.64120169590218]
Saq00.0001160.0000065.2514310.000010.0010.0001[0.0001159878113151273]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 11.641202 0.110740 0.951278 0.10000 1000.000 10.0000 \n", - "Saq0 0.000116 0.000006 5.251431 0.00001 0.001 0.0001 \n", - "\n", - " parray \n", - "kaq0 [11.64120169590218] \n", - "Saq0 [0.0001159878113151273] " - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cal.parameters" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Model as semi-confined" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "def func2(p, to=to, ho=ho, returnmodel=False):\n", - " k = p[0]\n", - " S = p[1]\n", - " c = p[2]\n", - " ml = ttim.ModelMaq(\n", - " kaq=k, z=[2, 0, -20], Saq=S, c=c, topboundary=\"semi\", tmin=0.001, tmax=100\n", - " )\n", - " w = ttim.Well(ml, 0, 0, rw=0.3, tsandQ=[(0, 800)])\n", - " ml.solve(silent=True)\n", - " if returnmodel:\n", - " return ml\n", - " h = ml.head(10, 0, to)\n", - " return np.sum((h[0] - ho) ** 2)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Optimization terminated successfully.\n", - " Current function value: 0.016202\n", - " Iterations: 109\n", - " Function evaluations: 225\n", - "optimal parameters: [1.03909094e+01 1.76382940e-04 2.02594461e+03]\n", - "rmse: 0.012728539913473325\n" - ] - } - ], - "source": [ - "lsopt2 = fmin(func2, [10, 1e-4, 1000])\n", - "print(\"optimal parameters:\", lsopt2)\n", - "print(\"rmse:\", np.sqrt(func2(lsopt2) / len(ho)))" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ml = func2(lsopt2, returnmodel=True)\n", - "plt.figure()\n", - "plt.plot(data[:, 0], data[:, 1], \".\", label=\"observed\")\n", - "hm = ml.head(10, 0, to)\n", - "plt.plot(to, hm[0], \"r\", label=\"modeled\")\n", - "plt.legend()\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\");" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "ml = ttim.ModelMaq(\n", - " kaq=10, z=[2, 0, -20], Saq=1e-4, c=1000, topboundary=\"semi\", tmin=0.001, tmax=100\n", - ")\n", - "w = ttim.Well(ml, 0, 0, rw=0.3, tsandQ=[(0, 800)])\n", - "ml.solve(silent=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "....................................\n", - "Fit succeeded.\n" - ] - }, - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq010.3910310.0426590.410534-infinf10.0000[10.391031434824104]
Saq00.0001760.0000031.669487-infinf0.0001[0.0001763801510490785]
c02026.58979896.4740984.760416-infinf1000.0000[2026.5897975040664]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 10.391031 0.042659 0.410534 -inf inf 10.0000 \n", - "Saq0 0.000176 0.000003 1.669487 -inf inf 0.0001 \n", - "c0 2026.589798 96.474098 4.760416 -inf inf 1000.0000 \n", - "\n", - " parray \n", - "kaq0 [10.391031434824104] \n", - "Saq0 [0.0001763801510490785] \n", - "c0 [2026.5897975040664] " - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=10)\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-4)\n", - "cal.set_parameter(name=\"c0\", initial=1000)\n", - "cal.series(name=\"obs1\", x=10, y=0, layer=0, t=to, h=ho)\n", - "cal.fit(report=False)\n", - "cal.parameters" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(0.01272855261536183, array([10.39103143]))" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cal.rmse(), ml.aq.kaq" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure()\n", - "plt.plot(data[:, 0], data[:, 1], \".\", label=\"observed\")\n", - "hm = ml.head(10, 0, to)\n", - "plt.plot(to, hm[0], \"r\", label=\"modeled\")\n", - "plt.legend()\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\");" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.13" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autoclose": false, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": false, - "user_envs_cfg": false - }, - "varInspector": { - "cols": { - "lenName": 16, - "lenType": 16, - "lenVar": 40 - }, - "kernels_config": { - "python": { - "delete_cmd_postfix": "", - "delete_cmd_prefix": "del ", - "library": "var_list.py", - "varRefreshCmd": "print(var_dic_list())" - }, - "r": { - "delete_cmd_postfix": ") ", - "delete_cmd_prefix": "rm(", - "library": "var_list.r", - "varRefreshCmd": "cat(var_dic_list()) " - } - }, - "types_to_exclude": [ - "module", - "function", - "builtin_function_or_method", - "instance", - "_Feature" - ], - "window_display": false - }, - "widgets": { - "state": {}, - "version": "1.1.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/circareasink_example.ipynb b/notebooks/circareasink_example.ipynb deleted file mode 100644 index e638523..0000000 --- a/notebooks/circareasink_example.ipynb +++ /dev/null @@ -1,371 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Circular area-sink\n", - "Circular area-sink with radius 100 m, located at the origin." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 0\n", - "No unknowns. Solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "N = 0.001\n", - "R = 100\n", - "ml = ttim.ModelMaq(kaq=5, z=[10, 0], Saq=2e-4, tmin=1e-3, tmax=1e4)\n", - "ca = ttim.CircAreaSink(ml, 0, 0, 100, tsandN=[(0, 0.001)])\n", - "ml.solve()\n", - "ml.xsection(-200, 200, 0, 0, t=[0.1, 1, 10], figsize=(12, 4), sstart=-200)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "x = np.linspace(-200, 200, 200)\n", - "qx = np.zeros_like(x)\n", - "for t in [0.1, 1, 10]:\n", - " for i in range(len(x)):\n", - " qx[i], qy = ml.disvec(x[i], 1e-6, t)\n", - " plt.plot(x, qx, label=\"time is \" + str(t))\n", - "qxb = N * np.pi * R**2 / (2 * np.pi * R)\n", - "plt.axhline(qxb, color=\"r\", ls=\"--\")\n", - "plt.axhline(-qxb, color=\"r\", ls=\"--\")\n", - "plt.xlabel(\"x (m)\")\n", - "plt.ylabel(\"Qx (m^2/d)\")\n", - "plt.legend(loc=\"best\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Circular area-sink and well\n", - "Discharge of well is the same as total infiltration rate of the circular area-sink.\n", - "Well and center of area-sink area located at equal distances from $y$-axis, so that the head remains\n", - "zero along the $y$-axis. Solution approaches steady-state solution." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "N = 0.001\n", - "R = 100\n", - "Q = N * np.pi * R**2\n", - "ml = ttim.ModelMaq(kaq=5, z=[10, 0], Saq=2e-4, tmin=1e-3, tmax=1e4, M=10)\n", - "ca = ttim.CircAreaSink(ml, -200, 0, 100, tsandN=[(0, 0.001)])\n", - "w = ttim.Well(ml, 200, 0, rw=0.1, tsandQ=[(0, Q)])\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "t = np.logspace(-3, 4, 100)\n", - "h = ml.head(-200, 0, t)\n", - "plt.semilogx(t, h[0])\n", - "plt.xlabel(\"time\")\n", - "plt.ylabel(\"head\")\n", - "plt.title(\"head at center of area-sink\");" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "N = 0.001\n", - "R = 100\n", - "Q = N * np.pi * R**2\n", - "ml = ttim.ModelMaq(kaq=5, z=[10, 0], Saq=2e-4, tmin=10, tmax=100, M=10)\n", - "ca = ttim.CircAreaSink(ml, -200, 0, 100, tsandN=[(0, 0.001)])\n", - "w = ttim.Well(ml, 200, 0, rw=0.1, tsandQ=[(0, Q)])\n", - "ml.solve()\n", - "ml.contour([-300, 300, -200, 200], ngr=40, t=20)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Two layers\n", - "Discharge of well is the same as total infiltration rate of the circular area-sink. Center of area-sink and well are at the origin. Circular area-sink in layer 0, well in layer 1. " - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "N = 0.001\n", - "R = 100\n", - "Q = N * np.pi * R**2\n", - "ml = ttim.ModelMaq(\n", - " kaq=[5, 20],\n", - " z=[20, 12, 10, 0],\n", - " c=[1000],\n", - " Saq=[2e-4, 1e-4],\n", - " tmin=1e-3,\n", - " tmax=1e4,\n", - " M=10,\n", - ")\n", - "ca = ttim.CircAreaSink(ml, 0, 0, 100, tsandN=[(0, 0.001)])\n", - "w = ttim.Well(ml, 0, 0, rw=0.1, tsandQ=[(0, Q)], layers=1)\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", 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Solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(tmin=0.01, tmax=10)\n", - "ls1 = ttim.LineSink(ml, -1, 0, 1, 0, tsandQ=[(0, 10)])\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 10\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml2 = ttim.ModelMaq(tmin=0.01, tmax=10)\n", - "x = np.arange(-0.9, 1, 0.2)\n", - "nwells = len(x)\n", - "Qtot = 10\n", - "for i in range(nwells):\n", - " ttim.Well(ml2, x[i], 0, tsandQ=[(0, Qtot / nwells)])\n", - "ml2.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "t = np.logspace(-2, 1, 100)\n", - "h1a = ml.head(0.5, 1, t)\n", - "h1b = ml.head(0.5, 10, t)\n", - "h2a = ml2.head(0.5, 1, t)\n", - "h2b = ml2.head(0.5, 10, t)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.semilogx(t, h1a[0], \"b\", label=\"line-sink\")\n", - "plt.semilogx(t, h2a[0], \"r--\", label=\"wells\")\n", - "plt.semilogx(t, h1b[0], \"b\")\n", - "plt.semilogx(t, h2b[0], \"r--\")\n", - "plt.xlabel(\"time\")\n", - "plt.ylabel(\"head\")\n", - "plt.legend();" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "image/png": 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", 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", 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a/notebooks/data/oudekorendijk_h30.dat +++ /dev/null @@ -1,34 +0,0 @@ -0.1 0.04 -0.25 0.08 -0.50 0.13 -0.70 0.18 -1.0 0.23 -1.40 0.28 -1.90 0.33 -2.33 0.36 -2.80 0.39 -3.36 0.42 -4.00 0.45 -5.35 0.50 -6.80 0.54 -8.3 0.57 -8.7 0.58 -10.0 0.60 -13.1 0.64 - 18 0.680 - 27 0.742 - 33 0.753 - 41 0.779 - 48 0.793 - 59 0.819 - 80 0.855 - 95 0.873 -139 0.915 -181 0.935 -245 0.966 -300 0.990 -360 1.007 -480 1.050 -600 1.053 -728 1.072 -830 1.088 diff --git a/notebooks/data/oudekorendijk_h90.dat b/notebooks/data/oudekorendijk_h90.dat deleted file mode 100644 index bfb6882..0000000 --- a/notebooks/data/oudekorendijk_h90.dat +++ /dev/null @@ -1,35 +0,0 @@ -1.5 0.015 -2.0 0.021 -2.16 0.023 -2.66 0.044 -3 0.054 -3.5 0.075 -4 0.090 -4.33 0.104 -5.5 0.133 -6 0.153 -7.5 0.178 -9 0.206 -13 0.250 -15 0.275 -18 0.305 -25 0.348 -30 0.364 -40 0.404 -53 0.429 -60 0.444 -75 0.467 -90 0.494 -105 0.507 -120 0.528 -150 0.550 -180 0.569 -248 0.593 -301 0.614 -363 0.636 -422 0.657 -542 0.679 -602 0.688 -680 0.701 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diff --git a/notebooks/data/slugtest.txt b/notebooks/data/slugtest.txt deleted file mode 100755 index 1030968..0000000 --- a/notebooks/data/slugtest.txt +++ /dev/null @@ -1,61 +0,0 @@ -0.1 0.663 -0.2 0.664 -0.3 0.656 -0.4 0.656 -0.5 0.656 -0.6 0.656 -0.7 0.653 -0.8 0.649 -0.9 0.649 -1.1 0.649 -1.2 0.645 -1.3 0.642 -1.5 0.653 -1.6 0.648 -1.8 0.642 -2 0.638 -2.3 0.63 -2.6 0.627 -2.9 0.619 -3.2 0.619 -3.6 0.616 -4 0.608 -4.5 0.605 -5.1 0.596 -5.7 0.59 -6.4 0.587 -7.1 0.579 -8 0.568 -9 0.56 -10 0.553 -11.3 0.539 -12.6 0.531 -14.2 0.517 -15.9 0.501 -17.8 0.486 -20 0.469 -22.4 0.45 -25.2 0.435 -28.2 0.413 -31.7 0.39 -35.5 0.368 -39.9 0.346 -44.7 0.321 -50.2 0.295 -56.3 0.273 -63.1 0.244 -70.8 0.221 -79.5 0.191 -89.2 0.166 -100.1 0.14 -112.3 0.118 -125.9 0.099 -141.3 0.081 -158.5 0.059 -177.9 0.051 -199.6 0.037 -223.9 0.025 -251.2 0.019 -281.9 0.014 -316.3 0.008 -354.9 0.008 \ No newline at end of file diff --git a/notebooks/figs/neuman.png b/notebooks/figs/neuman.png deleted file mode 100644 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zWixHLsiy3geL10qDL#sJNhCn6hi6#`v z1&YbrUb0ldyJ7%A$02GMq(Ix2cFuT8wSZ_~;Y6rfkRn)s7HrNMt0panejzQ@rOTf> z6I+QcJPe(ZR1VRk>v_#l2c2NA&xGPfw_>iM;;Gobxoea@vPrt0w(><$59kKs3zIMv z73V2m3PQeZ@N_X4(%$)>VJ?5y=S?&srh%h{ydnRy+%{BUZoMCxa)<#_O)lANk+ri`BV{{c0A BxUB#H diff --git a/notebooks/line-sink-ditch.ipynb b/notebooks/line-sink-ditch.ipynb deleted file mode 100644 index 4c5217d..0000000 --- a/notebooks/line-sink-ditch.ipynb +++ /dev/null @@ -1,193 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Line-sink ditch\n", - "A string of line-sinks for which the total discharge is specified" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 20\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=10, z=[10, 0], Saq=1e-4, tmin=0.01, tmax=10)\n", - "x = np.linspace(-100, 100, 21)\n", - "y = np.zeros(len(x))\n", - "lsd = ttim.LineSinkDitchString(ml, xy=list(zip(x, y)), tsandQ=[(0, 100)])\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Discharge at time t=2:, [[99.99999972]]\n" - ] - } - ], - "source": [ - "t = 2\n", - "print(f\"Discharge at time t={t}:, {lsd.discharge(t)}\")" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Discharge of segment 0: [[13.72066952]]\n", - "Discharge of segment 1: [[6.04460443]]\n", - "Discharge of segment 2: [[4.97677729]]\n", - "Discharge of segment 3: [[4.30323129]]\n", - "Discharge of segment 4: [[3.90805018]]\n", - "Discharge of segment 5: [[3.65055705]]\n", - "Discharge of segment 6: [[3.47803788]]\n", - "Discharge of segment 7: [[3.36384238]]\n", - "Discharge of segment 8: [[3.29380413]]\n", - "Discharge of segment 9: [[3.2604252]]\n", - "Discharge of segment 10: [[3.26042517]]\n", - "Discharge of segment 11: [[3.29380416]]\n", - "Discharge of segment 12: [[3.36384242]]\n", - "Discharge of segment 13: [[3.478038]]\n", - "Discharge of segment 14: [[3.65055708]]\n", - "Discharge of segment 15: [[3.90805017]]\n", - "Discharge of segment 16: [[4.30323113]]\n", - "Discharge of segment 17: [[4.9767767]]\n", - "Discharge of segment 18: [[6.04460434]]\n", - "Discharge of segment 19: [[13.72067031]]\n" - ] - } - ], - "source": [ - "for i, Q in enumerate(lsd.discharge_list(t=t)):\n", - " print(f\"Discharge of segment {i}: {Q}\")" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 20\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=10, z=[10, 0], Saq=1e-4, tmin=0.01, tmax=10)\n", - "x = np.linspace(-100, 100, 21)\n", - "y = np.zeros(len(x))\n", - "lsd = ttim.LineSinkDitchString(ml, xy=list(zip(x, y)), tsandQ=[(0, 100)], Astorage=100)\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Discharge at time t=2:, [[94.47093728]]\n" - ] - } - ], - "source": [ - "t = 2\n", - "print(f\"Discharge at time t={t}:, {lsd.discharge(t)}\")" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "-110.5812863933381" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.sum(lsd.headinside(2, derivative=1) * lsd.Astorage)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - }, - "widgets": { - "state": {}, - "version": "1.1.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/line_sink_well_sol.ipynb b/notebooks/line_sink_well_sol.ipynb deleted file mode 100755 index 0d7f8a1..0000000 --- a/notebooks/line_sink_well_sol.ipynb +++ /dev/null @@ -1,284 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Well near a straight river" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Consider a well in the middle aquifer of a three aquifer system located at $(x,y)=(0,0)$. The well starts pumping at time $t=0$ at a discharge of $Q=1000$ m$^3$/d. Aquifer properties are the shown in table 3 (same as exercise 2). A stream runs North-South along the line $x=50$. The head along the stream is fixed. \n", - "\n", - "#### Table 3 - Aquifer properties for exercise 3.\n", - "| Layer | $k$ (m/d) | $c$ (d) | $S$ | $S_s$ | $z_t$ (m) | $z_b$ (m)|\n", - "|---------------| ---------:| -------:| -----:| -----:| ---------:| --------:|\n", - "|Aquifer 0 | 1 | | 0.1 | | 25 | 20|\n", - "|Leaky layer 1 | | 1000 | |0 | 20 | 18|\n", - "|Aquifer 1 | 20 | | |0.0001 | 18 | 10|\n", - "|Leaky layer 2 | | 2000 | |0 | 10 | 8|\n", - "|Aquifer 2 | 2 | | |0.0001 | 8 | 0|\n", - "\n", - "#### Exercise 3a\n", - "Model a 1000 m long section of the stream using 12 linesinks with $y$-endpoints at [-500,-300,-200,-100,-50,0,50,100,200,300,500]. Create a cross-section of the head along $y=0$ from $x=-200$ to $x=200$ in all 3 layers." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 11\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ml = ttim.ModelMaq(\n", - " kaq=[1, 20, 2],\n", - " z=[25, 20, 18, 10, 8, 0],\n", - " c=[1000, 2000],\n", - " Saq=[0.1, 1e-4, 1e-4],\n", - " Sll=[0, 0],\n", - " phreatictop=True,\n", - " tmin=0.1,\n", - " tmax=1000,\n", - ")\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.2, tsandQ=[(0, 1000)], layers=1, label=\"well 1\")\n", - "yls = [-500, -300, -200, -100, -50, 0, 50, 100, 200, 300, 500]\n", - "xls = 50 * np.ones(len(yls))\n", - "ls1 = ttim.HeadLineSinkString(\n", - " ml, list(zip(xls, yls)), tsandh=\"fixed\", layers=0, label=\"river\"\n", - ")\n", - "ml.solve()\n", - "ml.xsection(x1=-200, x2=200, npoints=100, t=100, layers=[0, 1, 2], sstart=-200)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Exercise 3b\n", - "Compute the discharge of the stream section (the stream depletion) as a function of time from $t=0.1$ till $t=1000$ days." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "t = np.logspace(-1, 3, 100)\n", - "Q = ls1.discharge(t)\n", - "plt.semilogx(t, Q[0])\n", - "plt.ylabel(\"Q [m$^3$/d]\")\n", - "plt.xlabel(\"time [days]\");" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# # check if dischargeold function produces same result\n", - "# # can be removed after version 0.6.6\n", - "# t = np.logspace(-1, 3, 100)\n", - "# Q = ls1.dischargeold(t)\n", - "# plt.semilogx(t, Q[0])\n", - "# plt.ylabel('Q [m$^3$/d]')\n", - "# plt.xlabel('time [days]');" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Exercise 3c\n", - "Make a contour plot of each layer after 100 days of pumping. Use 20 grid points in each direction (this may take a little time)." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ml.contour(\n", - " win=[-200, 200, -200, 200],\n", - " ngr=[20, 20],\n", - " t=100,\n", - " layers=0,\n", - " levels=20,\n", - " color=\"b\",\n", - " labels=\"True\",\n", - " decimals=2,\n", - " figsize=(8, 8),\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Exercise 3d\n", - "The discharge of the well is $Q=1000$ m$^3$/d for 100 days every summer. Compute the stream depletion for a five year period." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 11\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ml = ttim.ModelMaq(\n", - " kaq=[1, 20, 2],\n", - " z=[25, 20, 18, 10, 8, 0],\n", - " c=[1000, 2000],\n", - " Saq=[0.1, 1e-4, 1e-4],\n", - " Sll=[0, 0],\n", - " phreatictop=True,\n", - " tmin=0.1,\n", - " tmax=2000,\n", - ")\n", - "tsandQ = [\n", - " (0, 1000),\n", - " (100, 0),\n", - " (365, 1000),\n", - " (465, 0),\n", - " (730, 1000),\n", - " (830, 0),\n", - " (1095, 1000),\n", - " (1195, 0),\n", - " (1460, 1000),\n", - " (1560, 0),\n", - "]\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.2, tsandQ=tsandQ, layers=1, label=\"well 1\")\n", - "yls = [-500, -300, -200, -100, -50, 0, 50, 100, 200, 300, 500]\n", - "xls = 50 * np.ones(len(yls))\n", - "ls1 = ttim.HeadLineSinkString(\n", - " ml, list(zip(xls, yls)), tsandh=\"fixed\", layers=0, label=\"river\"\n", - ")\n", - "ml.solve()\n", - "\n", - "t = np.linspace(0.1, 2000, 200)\n", - "Q = ls1.discharge(t)\n", - "plt.plot(t, Q[0])\n", - "plt.ylabel(\"Q [m$^3$/d]\")\n", - "plt.xlabel(\"time [days]\");" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.13" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autoclose": false, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": false, - "user_envs_cfg": false - }, - "widgets": { - "state": {}, - "version": "1.1.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/meandering_river.ipynb b/notebooks/meandering_river.ipynb deleted file mode 100644 index 3269882..0000000 --- a/notebooks/meandering_river.ipynb +++ /dev/null @@ -1,132 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import ttim" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "ml = ttim.Model3D(\n", - " kaq=[2, 1, 5, 10, 4],\n", - " z=[10, 8, 6, 4, 2, 0],\n", - " Saq=[0.1, 0.0001, 0.0002, 0.0002, 0.0001],\n", - " phreatictop=True,\n", - " kzoverkh=0.1,\n", - " topboundary=\"conf\",\n", - " tmin=1,\n", - " tmax=10,\n", - ")\n", - "w = ttim.Well(ml, -25, 0, rw=0.3, tsandQ=[(0, 100)], layers=[2, 3])\n", - "\n", - "dxdy = 30 * np.pi / 100 * np.cos(np.pi)\n", - "x1 = np.arange(-150, -100, 10)\n", - "y1 = (x1 + 100) * dxdy\n", - "x2 = np.linspace(-100, 100, 20)\n", - "y2 = 30 * np.sin(x2 * np.pi / 100)\n", - "yls = np.hstack((y1, y2))\n", - "xls = np.hstack((x1, x2))\n", - "xy = np.array([xls, yls]).T\n", - "\n", - "ls1 = ttim.HeadLineSinkString(ml, xy=xy, tsandh=\"fixed\", layers=[0, 1])" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 50\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ml.contour(win=[-150, 150, -50, 50], ngr=40, t=1, layers=2)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - }, - "widgets": { - "state": {}, - "version": "1.1.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/pathline_trace.ipynb b/notebooks/pathline_trace.ipynb deleted file mode 100644 index 560382a..0000000 --- a/notebooks/pathline_trace.ipynb +++ /dev/null @@ -1,738 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Pathline tracing" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim as tt" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Pathlines are computed through numerical integration of the velocity vector. Pathlines are computed with the `timtrace` function. The `timtrace` function takes as input arguments the starting locations of the pathline (`xstart`, `ystart`, `zstart`), a list with the starting time and end time of the pathline (`tstartend`), a time offset (`tstartoffset`), and a maximum time step (`tstep`). The pathline starts at the starting time plus the time offset (`tstartoffset`). When the starting time is at the time of a change in boundary condition (e.g., a well starts pumping), the time offset can not be smaller than `tmin`. The `timtrace` function has several keyword arguments to affect the numerical integration procedure. The `hstepmax` keyword is used here, which is the maximum horizontal step (in the length units consistently used throughout the model). \n", - "\n", - "The `timtrace` function returns a dictionary with three entries:\n", - "\n", - "- `'xyzt'` : 2D array with four columns: x, y, z, t along pathline\n", - "- `'message'` : list with termination text messages of each section of the pathline\n", - "- `'status'` : numerical indication of the result. Negative is likely undesirable.\n", - " \n", - "The `'status'` can be one of the following:\n", - "- -2 : reached maximum number of steps before reaching maximum time\n", - "- -1 : starting $z$ value not inside aquifer\n", - "- +1 : reached maximum time\n", - "- +2 : reached element \n", - "\n", - "The `message` is automatically printed to the screen unless the keyword `silent` is set to `True`. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 1, a pumping well in a confined aquifer\n", - "Consider a well that starts pumping at $t=0$ in a confined aquifer. The well is located at the origin of the coordinate system." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# parameters\n", - "Q = 100 # discharge of well, m^3/d\n", - "k = 10 # hydraulic conductivity, m/d\n", - "H = 10 # thickness of aquifer, m\n", - "Ss = 1e-4 # specific storage, m^(-1)\n", - "npor = 0.3 # porosity, -\n", - "xw = 0 # x-location of well\n", - "yw = 0 # y-location of well\n", - "rw = 0.3 # radius of well, m\n", - "tmin = 0.001 # first time of simulation after change in bc, d" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = tt.ModelMaq(kaq=[k], z=[H, 0], Saq=[Ss], poraq=npor, tmin=tmin, tmax=1000, M=10)\n", - "w = tt.Well(ml, xw=0, yw=0, tsandQ=[(0, Q)], rw=rw)\n", - "ml.solve()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A pathline is started at $(x,y,z)=(10, 10, 0.5H)$ and time $t=0$ and is followed for 10 days. \n", - "The output of the `timtrace` function is stored in the `trace` dictionary. " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "reached maximum time tmax\n" - ] - } - ], - "source": [ - "trace = tt.timtrace(\n", - " ml,\n", - " xstart=10,\n", - " ystart=10,\n", - " zstart=0.5 * H,\n", - " tstartend=[0, 10],\n", - " tstartoffset=tmin,\n", - " tstep=1,\n", - " hstepmax=2,\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The entries of the `trace` dictionary are printed below. Note that the pathline starts at $t=0.001$ d, which is the specified `tstartoffset`, that steps are taken with a length of 1 day, and that the pathline is terminated when the maximum time of 10 days is reached. " - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "xyzt array of pathline:\n", - "[[1.00000000e+01 1.00000000e+01 5.00000000e+00 0.00000000e+00]\n", - " [1.00000100e+01 1.00000100e+01 5.00000000e+00 1.00000000e-03]\n", - " [9.78470575e+00 9.78473214e+00 5.00000000e+00 1.00100000e+00]\n", - " [9.50979350e+00 9.50987274e+00 5.00000000e+00 2.00100000e+00]\n", - " [9.22664234e+00 9.22677882e+00 5.00000000e+00 3.00100000e+00]\n", - " [8.93450239e+00 8.93469907e+00 5.00000000e+00 4.00100000e+00]\n", - " [8.63247116e+00 8.63273035e+00 5.00000000e+00 5.00100000e+00]\n", - " [8.31947621e+00 8.31979981e+00 5.00000000e+00 6.00100000e+00]\n", - " [7.99423275e+00 7.99462235e+00 5.00000000e+00 7.00100000e+00]\n", - " [7.65518183e+00 7.65563873e+00 5.00000000e+00 8.00100000e+00]\n", - " [7.30040168e+00 7.30092693e+00 5.00000000e+00 9.00100000e+00]\n", - " [6.93735957e+00 6.93795356e+00 5.00000000e+00 1.00000000e+01]]\n", - "trace message: ['reached maximum time tmax']\n", - "trace status: [1]\n" - ] - } - ], - "source": [ - "print(\"xyzt array of pathline:\")\n", - "print(trace[\"xyzt\"])\n", - "print(\"trace message:\", trace[\"message\"])\n", - "print(\"trace status:\", trace[\"status\"])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "When the pathline is computed for a max of 20 days (i.e., the last entry in `tstartend` equals 20), the well is reached before $t=20$ d is reached" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "reached element of type well: Well at (0.0, 0.0)\n" - ] - } - ], - "source": [ - "trace = tt.timtrace(\n", - " ml,\n", - " xstart=10,\n", - " ystart=10,\n", - " zstart=0.5 * H,\n", - " tstartend=[0, 20],\n", - " tstartoffset=tmin,\n", - " tstep=1,\n", - " hstepmax=2,\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "last two entries in xyzt:\n", - "[[ 0.94589428 0.9465109 5. 18.86604434]\n", - " [ 0. 0. 5. 19.20349865]]\n" - ] - } - ], - "source": [ - "print(\"last two entries in xyzt:\")\n", - "print(trace[\"xyzt\"][-2:])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "When the horizontal stepsize is larger than the specified `hstepmax` value, the timestep is reduced. For example, specifying `hstepmax=0.5` and following the pathline for 4 days gives" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "reached maximum time tmax\n" - ] - } - ], - "source": [ - "trace = tt.timtrace(\n", - " ml,\n", - " xstart=10,\n", - " ystart=10,\n", - " zstart=0.5 * H,\n", - " tstartend=[0, 1],\n", - " tstartoffset=tmin,\n", - " tstep=1,\n", - " hstepmax=0.1,\n", - ")" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "xyzt:\n", - "[[1.00000000e+01 1.00000000e+01 5.00000000e+00 0.00000000e+00]\n", - " [1.00000100e+01 1.00000100e+01 5.00000000e+00 1.00000000e-03]\n", - " [9.92929549e+00 9.92930315e+00 5.00000000e+00 3.31456921e-01]\n", - " [9.85857901e+00 9.85859828e+00 5.00000000e+00 5.95480772e-01]\n", - " [9.78786212e+00 9.78789382e+00 5.00000000e+00 8.57494614e-01]\n", - " [9.74925671e+00 9.74929537e+00 5.00000000e+00 1.00000000e+00]]\n", - "length of first step: 0.10\n" - ] - } - ], - "source": [ - "xyzt = trace[\"xyzt\"]\n", - "print(\"xyzt:\")\n", - "print(trace[\"xyzt\"])\n", - "x0, y0, z0, t0 = xyzt[1]\n", - "x1, y1, z1, t1 = xyzt[2]\n", - "print(f\"length of first step: {np.sqrt((x1 - x0) ** 2 + (y1 - y0) ** 2):.2f}\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The other keyword arguments of `timtrace` are `nstepmax=100`, `silent=False`, and `correctionstep=True`. The `nstepmax` is the maximum number of steps. Numerical integration stops when the maximum number of steps is reached and the returned `status` is `-2`. For most practical cases, this is an undesirable result and the maximum number of steps should be increased. Setting `silent=True` prevents the message from being printed to the screen, which may be useful when a lot of pathlines are computed, for example in a loop. When the `correctionstep` is set to `True` (default), the numerical integration scheme is a predictor-correcter scheme. When `correctionstep` is set to `False`, the integration scheme is forward integration through time, which is less accurate but quicker. " - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 2, injection and recovery of a pumping well in a confined aquifer\n", - "Consider a well in a confined aquifer. The well starts pumping with discharge $Q$ at time $t=0$ and starts injection with discharge $Q$ at time $t=10$ d. The well is located at the origin of the coordinate system." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = tt.ModelMaq(kaq=[k], z=[H, 0], Saq=[Ss], poraq=npor, tmin=tmin, tmax=1000, M=10)\n", - "w = tt.Well(ml, xw=0, yw=0, tsandQ=[(0, Q), (10, -Q)], rw=rw)\n", - "ml.solve()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A pathline is started at $(x,y,z)=(10, 10, 5)$ and followed for 20 days. The `tstartend` list is now `[0, 10, 20]`. This means that the pathline consists of two sections. The first section starts at $t=0$ d (or really at `tmin`) and is followed up till $t=10$ d. The second section starts from the endpoint at $t=10$ d of the first section at $t=10$ d (or really at 10+`tmin` days) and is followed up till $t=20$ d. The `nstepmax` keyword is the maximum number of steps for each section of the pathline. There are two messages printed to the screen, one for each section. " - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "reached maximum time tmax\n", - "reached maximum time tmax\n" - ] - } - ], - "source": [ - "trace = tt.timtrace(\n", - " ml,\n", - " xstart=10,\n", - " ystart=10,\n", - " zstart=0.5 * H,\n", - " tstartend=[0, 10, 20],\n", - " tstartoffset=tmin,\n", - " tstep=1,\n", - " hstepmax=2,\n", - ")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The $x,y,z,t$ array is printed below. Note that the first section ends at $t=10$ d. \n", - "After 20 d, the pathline ends at (almost) the same location as it started. The small discrepancy is caused by numerical error of the integration scheme." - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "xyzt:\n", - "[[1.00000000e+01 1.00000000e+01 5.00000000e+00 0.00000000e+00]\n", - " [1.00000100e+01 1.00000100e+01 5.00000000e+00 1.00000000e-03]\n", - " [9.78470575e+00 9.78473214e+00 5.00000000e+00 1.00100000e+00]\n", - " [9.50979350e+00 9.50987274e+00 5.00000000e+00 2.00100000e+00]\n", - " [9.22664234e+00 9.22677882e+00 5.00000000e+00 3.00100000e+00]\n", - " [8.93450239e+00 8.93469907e+00 5.00000000e+00 4.00100000e+00]\n", - " [8.63247116e+00 8.63273035e+00 5.00000000e+00 5.00100000e+00]\n", - " [8.31947621e+00 8.31979981e+00 5.00000000e+00 6.00100000e+00]\n", - " [7.99423275e+00 7.99462235e+00 5.00000000e+00 7.00100000e+00]\n", - " [7.65518183e+00 7.65563873e+00 5.00000000e+00 8.00100000e+00]\n", - " [7.30040168e+00 7.30092693e+00 5.00000000e+00 9.00100000e+00]\n", - " [6.93735957e+00 6.93795356e+00 5.00000000e+00 1.00000000e+01]\n", - " [6.93736651e+00 6.93796050e+00 5.00000000e+00 1.00010000e+01]\n", - " [7.23219986e+00 7.23282082e+00 5.00000000e+00 1.10010000e+01]\n", - " [7.58990360e+00 7.59061196e+00 5.00000000e+00 1.20010000e+01]\n", - " [7.93153229e+00 7.93233536e+00 5.00000000e+00 1.30010000e+01]\n", - " [8.25905250e+00 8.25995361e+00 5.00000000e+00 1.40010000e+01]\n", - " [8.57407466e+00 8.57507553e+00 5.00000000e+00 1.50010000e+01]\n", - " [8.87792678e+00 8.87902832e+00 5.00000000e+00 1.60010000e+01]\n", - " [9.17171794e+00 9.17292056e+00 5.00000000e+00 1.70010000e+01]\n", - " [9.45638540e+00 9.45768918e+00 5.00000000e+00 1.80010000e+01]\n", - " [9.73272944e+00 9.73413425e+00 5.00000000e+00 1.90010000e+01]\n", - " [1.00048767e+01 1.00063823e+01 5.00000000e+00 2.00000000e+01]]\n" - ] - } - ], - "source": [ - "xyzt = trace[\"xyzt\"]\n", - "print(\"xyzt:\")\n", - "print(trace[\"xyzt\"])" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 3, a well in a semi-confined aquifer\n", - "Consider an injection well in a semi-confined aquifer. The well starts injecting with discharge $Q$ at time $t=0$. The well is located at the origin of the coordinate system. " - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [], - "source": [ - "# parameters\n", - "k = 20 # hydraulic conductivity aquifer, m/d\n", - "H = 10 # thickness of aquifers, m\n", - "Hstar = 2 # thickness of leaky layer, m\n", - "c = 100 # resistance of leaky layer, d\n", - "Ss = 1e-4 # specific storage of both aquifers, m^(-1)\n", - "npor = 0.3 # porosity of both aquifers, -\n", - "Q = 1000 # discharge of well in aquifer 1, m^3/d\n", - "xw = 0 # x-location of well\n", - "yw = 0 # y-location of well\n", - "rw = 0.3 # radius of well, m\n", - "tmin = 0.001 # first time of simulation after change in bc, d" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = tt.ModelMaq(\n", - " kaq=[k],\n", - " z=[H + Hstar, H, 0],\n", - " c=[c],\n", - " Saq=Ss,\n", - " poraq=npor,\n", - " topboundary=\"semi\",\n", - " tmin=tmin,\n", - " tmax=1000,\n", - " M=10,\n", - ")\n", - "w = tt.Well(ml, xw=0, yw=0, tsandQ=[(0, -Q)], layers=0, rw=0.3)\n", - "ml.solve()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Nine pathlines are started at the well screen at different elevations in the aquifer and followed for a max of 1000 days. Five of the nine pathlines end at the top of the semi-confining layer within the 1000 days (the five pathlines that start at the highest elevations)." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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YI6VVhXVt5nZJKYm+8w7z/9+3iJ88Sd1/+WM8TzxxV39G0RSBiorHsdvrERhBCAzCjNHoxGhyYDK6MJt9mC1eLGZvwfbKuRNSSubm5ujv76evr4+xsTEAPB4PO3fupL29naampoK5uLtEi6aJn5kjenKG9HhE79ff7sPRVYVtg6+gevgsmRm8yOnXfkzve4fIpFPUb9rCg5/7Cuvv31Pw/fsBslnJ0Jk5Tr8+xvRgEKvDxK6nmth6sAFHAd2BfSekphF+/XXmv/Utkud7MNXWUPUv/jmuhx666z+raIpAmW8/Zb79+Q5jVUmn0wwPD3PhwgX6+/sJBAIA1NTU8PDDD7Nx40ZqamoK7lOPzGRJ9C0SOzlLvHcRNIm5xknJc604dlRidBbWJxjQ7+rt//A9Tr/2ClMX+jBZrWx66CA7nnxuzTT5pJMavYenOPPGGMG5OJ5yG/s/s55Ne2uK5u5emUoR/NHLLPzX/0pqeBhLczM1f/iHlHziOcQ9+uRdHK+ssmxhYYGBgQEuXLjA0NAQmUwGk8lEa2sr+/fvZ/369QU3PSPkJmsZCxM7NUv8zBzZWAaDy4xrTy2OnZVYal35DvG2+Kcn+ehnr3L20M9IhEN4a+s5+JUX6XjoEWzOwvw/XS3iT9B9aIJz7+oXeyubPTz5yTZat5cXTTfPbDRK4LvfZeHPv01mehprxybq/vN/xv34Y3f9GsDVVBFY4xKJBENDQwwODnLx4kX8fj8AXq+XXbt2sW7dOpqbmwuufX9Jei5G7PQcsdOzaAsJMBmwd/hw7KzCtt5bkM09WibDwIkjnHn9J4x2n0YYDKy7bzfbHn+Gxi3bCu6T2fXMDIU48+YYAydmkVLSuqOC7Y81Ut1aeCchtyuzuIj/L17C/9JLaMEgjvvuo+bf/huc+/ev2O9ZFYE1JpPJMDExweDgIIODg4yPjyOlxGw209zczJ49e2hrayuY4RquRQsliZ2ZJ3ZmVm/nF3rvHs/BRuxbyjAUaNNBcHaa7jdf4+xbrxMN+HGXVbD3M1+g8+ATuHyF+/u6nKZlGTw5x5k3x5gZCmGxGel8pJ6tB+rxFODF+duVGhtj8c+/TeB730MmErgeeYSyb/wqjh07VjyWwvxrUZZpmsbU1BRDQ0MMDw8zOjpKOp1GCEFtbS379++nra2N+vr6VT337sfRomniZ+eJn5kjORQECeZaJyXPtODYVoGxpDAv5muZNBePHaH7zZ8y8tEphDDQsmMXWx97mpYduzAYCv9CL0A8nOLcu5OcfWeCaCBJSYW96Nr7AeLdZ1n4sz8l/NPXwGik5BOfoOzrX8Pa1pa3mIrn1V8jMpkMk5OTjIyMMDIywujoKKlUCoCKigp27NhBS0sLzc3NBTEq541k4xni5xeIfzRH4kIAshJTuR33I404tlcU3BAOl1sYH6P7rdc4//YbxMMh3GUV7Pn05+l85AncZYU/nMOS2ZEQ3W+Nc+H4LFomS8MmLwe+sJGmzWVFc2evzGaJvP02i3/+bWJHj2JwuSj72lfxfvGLmKuq8h2eKgKrXTweZ2xsjNHRUcbGxhgfH0fTNEBP+tu2baOpqYnm5mZcrsK/ULic+LvnSVzwgyYxeq24H6zDvrUCc62zYNvEU/EYfYffo/ut15jq78VgNNK26wE6H32Spq3b18xZv5bWB3PrPjTOzFAIk9XIpn01dB6ox1dTeHdh365sIkHwhz9k8dv/ndTgIKbqair/yT+h9Jc/g3EV/a2qIrCKaJrG7OwsExMTjI+PMz4+zvz8PAAGg4Hq6mruu+8+mpqaaGxsxOlcG39QWjRN4vwC8bPzJC4G9MRfYsW1txZ7ZzmWhsIap/9y+rj2Zzl36Gf0ffgemWQSX209D/3K1+h48CDOUm++Q7xrwosJzr4zQc/7k8TDaUqrHDz4y+vZuLsGq714Uk1mfh7///oO/u98B83vx9qxido/+iM8Tz15z7p53oni+c2sMtlsloWFBaamppicnGRiYoKpqSkymQwADoeD+vp6tm7dSkNDA3V1dQU1NMPH0UJJ4ucWiJ9bIDkYgCwYvVZc+2qxbynsxA8QnJ3h/Dtvcu6dNwjOTGOx29m072E2H3ic2g3tBf1/u5zMSkbPL3L2nQlGuvUTluat5Wx5uI6Gdl/RNPkAJHp7Wfzv/4PQyy8j02lcBw/i++pXcNx336r+fasisAJSqRSzs7PMzMwwPT29vKTTaQBMJhM1NTV0dXVRV1dHXV0dXu/aGxArPRcjfm6BxLkFUmNhAEwVdtwPN2DfXIa5zlXQ/+dUPEb/h+9z/p03GTvfDUDjlq3s+aXPseGBfWti9M4lsVCK3sNTnHt3gtB8ArvbzM4nm9j8UB1u39r5f34cqWlEDh1i8X/8T2JHjiDsdkpf+DTeL34Ra0th3MSX9yIghPhN4FfRh+LsBr4qpUzkN6rbk0qlWFhYYG5ubnmZnZ1lcXFx+RiLxUJ1dTU7duygpqaG2tpaysvLC244hpshs/oNXInzC8TPL5CZiwNgrnPheaIJ++YyTJWOgk78WU1jpPs05995k4vHPySTTFJaXcPez3yBzQ89iqeiMt8h3jVSSib6A5x7d4LBU3NkNUnt+lJ2f7KN1u0VGAtoXuU7pYVCBL73Pfx/8RLp8XFMNTVU/s5vU/rCCxgL7GbLvBYBIUQd8I+ADillXAjx18BngW/nM64bSSQSBAIB/H4/fr+fxcVFFhcXWVhYIBgMLh8nhKCsrIzq6mo6Ozuprq6mqqqK0tLSgphE/XZlkxmSFwLEexZJ9C6SjabBILC2luDaU4utw4eptLDPFKWUzA4N0PPeW/S+/w7RgB+r00nHgwfpeOjRNdXcA7mz/g+nOP/eJMHZOFaHic6H6+l4sLaoLvQCJAcG8L/0EoHv/wAZi2HfuZPK3/lt3I89hijQLtirIWoTYBdCpAEHMLnSAWSzWRKJBPF4nFgsRjQaJRqNEolECIVCy0swGCSRuPJDis1mo6ysjKamJsrKyigvL6eiogKfz1fQ/fJvRWY+TrxPT/rJwSBoEmEzYtvow97hw7bBh2ENXBgMzEzT+/7b9Lx3iMWJMQxGEy07utj80CO07LwP0yq86He7ZFYy1rvI+fcmGTozT1aT1Kwr4b5nW2jbUVFU8/VKTSPy1lssvvQSscMfIiwWPM8+i/dXvoB98+Z8h3fH8vqXKaWcEEL8H8AoEAdek1K+di9+1ttvv83Zs2eRUiKlRNM00uk0qVRquW3+WhwOBx6PB4/HQ2NjIyUlJZSWluL1evH5fAXfF/92yHSW5FCQRN8iiT4/mXm9mcdUYdcv7Lb7sDR5EGtg3JdowE/f4Xfpff9tpi70AVDXvpnHv/EPWL97H3aXO88R3l3hxQS9h6fo+WCK8EICm9NM58F6OvbW4qstrrP+zOIigb/5Lv6/+ksyk1OYamqo+M3fpPSFT2PyrZ2JovLdHOQFngdagADwN0KIX5FS/sVVx70IvAjQ2Nh4Wz/L5XJRXl6OwWBACIHBYMBsNmOxWLBYLNjt9uXF6XTicrlwOp1FczZ/I1JKMnNxEv1+khf8JAeDyHQWTAa9mWdvLbaNXkxla6MgxiNhLhz5gL4P3mbs3FmkzFLR2MyDn/8K7fsewlO+dtr5Qe/XP/TRPD3vTzLaswgS6tu97PlUG63bKopqovalyVv8f/kdwj95FZlO49i9m6rf+z3cjzxSsE0+NyKklPn74UK8ADwlpfx67vGXgN1Syl+/3td0dXXJ48ePr1SIRUuLpkkOBPTEfzGAFkgCYCq3Y9vgxbrRi621pOBm4bqeRDTCwPEj9B1+l5GPTpHVNEqra2jf9zDtex+irP72Tj5Ws7nRMD2Hp+g/Ok0ymsHltdK+p4ZNe2uKahwfAC0SJfTyy/j/8i9J9vZicDop+eQn8X7+c3kd0uFuEkKckFJ2Xb0/32VtFNgthHCgNwc9CqgMnwfZlEZqOETiYoDkRT/pqShI9Lb9daVYDzZgW+/FtIa6/yWiEQZPHKXvw/cYOXMSLZPBU1HJrmc/ycY9D1LZ0ramLvCCfpH3wrEZeg5PsTAewWgy0LKtnE37aqhv92Eoon79AIm+Pvx/+ZeEfvgjstEo1vZ2qv/1v6bkuWcxrJGbMT9Ovq8JHBFCfBc4CWSAU8C38hlTsZBpjeRomORAgORgUO+3r0kwCiyNHjyPNWFdV4ql3l2QwzFfTzwSZuD4ES4ceZ/hM6fIahncZRVsf+oTbNyzn+q2DWsu8WvpLMPd8/R+OM3o2QWyWUllk5uHP7eBdV1V2Apwkp07kY3FCP3kVfx//VckznyEsFrxPP003s/+MrZta2eo7puV1+ag26Gag25PNqWRGg2RHAySHMol/YwEoffbt7WVYm0rxdLswbDGen5EA34uHvuQC0c/YOzcR2Q1DXd5BRt272fj7v1Ut61HrLFuu1JKZoZC9H44zcXjMyRjGRwlFjY+UE377pqiu8gLkOjpwf/Xf03oRy+TjUSwtLbi/eXPUPL88xhLS/Md3j23WpuDlHtEi6ZJjYRIDodIDQVJTUQgeynpu3bXYm0rwdpSUrDj799IYGaai8cOc/HYYSb6ekBKSqtr2PXcp9hw/16q2tavyTO+wGyM/qMz9B+ZJjgXx2Q20LK9gvbd1dS3e4tmpq4lWiRC6OVXCHz3uyTOnkVYLLifehLvCy9g7+pak++BW7X2/vqLkMxKMnMxUiNhkqMhUiOh5btzMQos9W7cD9VhaSnB2uRZk0l/6Qaui8ePMHDsMHOjwwBUNDaz99OfZ/39eyhraFqTf/SxUIqLJ2boPzrDzFAIBNRt8LLr6WbadlRgWQP3aNwKKSXxkycJfPdvCb36KjIex7p+PVX/7JuU/MIvFMVZ/60ornfHGqFFUqTGI6RGQ6TGwqTGwsiEPry0wWHC0ujBsasKa5MHS71rzfTguVomnWb8fDcDJ44wcPwo4YU5hDBQu3ETB770q7R17aa0qjrfYd4TqUSGodNz9B+bYazHj8xKyupd7PnFNjbcV4XLu3Yu4N+s9OwsoR/+kMB3/5bU8DAGh4OS556l9IUXsHV2rskTgLtBFYFVLhtLk5qMkBqPkJ6IkBoLL3fXRIC52oljWwWWBg+WJjemcvuafrPHggGGTp9g4MQRhs+cIp2IY7Jaaercwd7PfIHWnffh8BTW2C03K5PSGDm3wIVjMwx3L6Cls7h9NnY80ciG+6ooq1s9Y9SvFJlKET50iOD3/o7Iu++CpmHftYuaF1/E89STGByFO/HQSlFFYJWQUqKFUqQnI6SnoqQnI6Qmo2iLl4apMPpsWBrdWPbWYmlwY65zrbmLuFeTUjI7PMjQyWMMnjrG1MV+kBKn10f7vodY17Wbhi1bMVsKc3rJj6Nlsoz1LHLx+CyDZ+ZIJzTsbjMd+2pZf18V1a2eNV30r0VKSeL8eYLf/wGhH/0ILRDAVFlJ2de/TsmnPlkwo3euFqoI5EE2kSE9EyM9EyUzHSM1FSUzEyUbyywfYyqzYal3Yb6/GkudC0udC4OjOLryJWNRRrpPM3TqBMOnjxPx66OwVretZ++nP0/rzvvWZB/+JZqWZaLXz8UTswyeniMZy2B1mGjbWcmGrirqNpYW3QVeyDX3/Ohlgt//PskLFxBmM67HHqX0U5/CuXfvmrybdyWoV+0eWTqzz8zFyczHyMzGSc/GyMzG0EKp5eOExYC52ol9SznmGqe+VDvX5MXb65HZLLMjQwyfPsHwmZNM9veQ1TSsDidNndtp2dFFy46uNTUL19WWE//JWYZOz5OIpjHbjLRsK2f9rioaOnxFNVTzkmw8TviNNwn+4AdE338fslls27ZS/Qf/Es/TT6uLvHdB8WSae0Cms2QCCTR/ksxigsxiAm0hTmYhQWYhro+vkyMsRkyVdqxtpZiqHJgrHZirHBi9tqKafWlJNOBnpPs0w2dOMvLRKWLBAACVzW10PfcpWrZ3UbOhHeMaPrtbauoZODXH0Jk5ktEMZpuR5s5y1ndV0tDhw7RGL+rfiNQ0YkePEvzhjwi/9hrZaBRTbQ1l3/gGJc8/j7VVNffcTWv3L+wOyHSWbCyNFk2TDafQImm0cAotmEQLptBCSbRAkmzkqtFHjQKTz4apzI61rQRThR1TuQNTuR1jiWXNNl/cjHQywUTPOYa7TzP60anlLpx2TwlNndtp3raT5m071/TZPkA6pTF2bpGB07MMf7RAKp7BYjPSvLWcdbuKOPFLSbK3l+CPXib0yitkZmYwuFy4n3ySkuefx3Ff15q7oW+1KJoiEDs1S2IgoM9fJiUyK5HprL6kNLLxDDKR0dep7DW/h7AZMXqsGEssWGpcGEutGEutmHw2jD4bRrelKM/qr0XLZJgeuMDY2TOMnj3DZH8PWiaD0WSirr2DBz//FZo6t1PZ3Lrm/7gT0TQj3fMMnp5n9PwCmVQWq9NE644K2nZU0NDuK6qROi+XGh8n9PIrhF55meSFi2Ay4dq/n5Lf+11cBw9iWENTcq5WRVME0rMxkv1+EAIEYBQYzAaE2YgwGzCV2zHYTBhsRgwuMwaHGaPTjMFtwejS12u9J86dyGY15oaHGD17hrFzHzHee550Ig5CUNnUyo6nf4Gmzu3UtXdgtq79P+yIP8HQmXkGT88x2R8gm5U4Syy076mhdUcFdeuL8+IuQGZujtCrPyX0yivET58GwL5zJ9V/8C9xP/UUJu/a/jS42hRNESh5spmSJ5vzHcaakdU0ZocHGT/fzdj5biZ6z5OMRQHw1dbT8eBBGju30dDRid3tyXO0956UkoWJKENn5hg6M8/caBiA0ioH2x9voGV7BVVNnqL9pKgFAoRef53Qj39M7MhRyGaxbthAxW//FiXPPIO5ri7fIRatoikCyp3JpFJMD/Qz0Xue8d5zTPadJxXXh6bw1tSxcc+D1HdsoWHzVlzetTPr0o1omSyT/QGGuucZPjNPeDEBAqqaPez+ZCut2yvwVhffQG1LtHCY8BtvEPrJT4i+/wFkMpibGin7ey9S8uyzWNety3eIBSWdTWMSprt+bfGWi4AQwgkkpJTaXY1EWVXi4RCT/b1M9J1nsu880wMX0HLTcJbVN7Jp/0HqO7ZQ374Zl68sz9GunFgoxei5BYa75xk9v0g6oWEyG6jf5GPX0000by3HWbI2b1y7GVo4TOSttwj95FWi772HTKcx1dbg+/KX8DzzDLaOjqLuIHGrpJScmTvDy4Mv89Phn/Inj/0Jm8vv7rzGH1sEhBAG4LPAF4D7gCRgFULMAT8GviWlvHBXo1JWlMxmWZgYY7K/l6kLvUz29bA4OQ6AwWiiqrWN7U8+R/2mLdRt3FQUzTtLZFYyNxZm5OwCw90LzI6EQIKzxML6+6po7iynvt2LuYivF2mhkJ74X/3ppcRfXY33C1/A8/RT2LZuVYn/Fg0Fh3hl8BV+PPRjxsJjWI1WDjYcxGy8+zeM3swngbeAnwHfBM5KKbMAQggfcBD4D0KIv7t6XmBl9YqFgkxf7GfqQi9TF/uZutBHKh4DwOZyU7uhnY6HHqF24yaq121Ys0MyXE8immasZ5HRcwuMnFskHkotN/Pc/1wLzZ3llDe4ijqxZfx+Im++Rei1nxL94DAsJf7Pfw73U09h37Ztzff6utvmYnO8Ovwqrwy+wrmFcwgE99fcz4tbX+SxxsdwWe7N2FAfO6mMEMIspUzf6TF3i5pU5tYkYzFmhy4yPXiR6YELTF/sJzQ3A4AQBsobm6hZt5GaDe3UbmjHW1NXdMlt6Wx/9NwCo+cWmR4MIiVYHSYaO3w0bSmjoaMMh8eS71DzKj07S+SNNwi99hqxo8dA0zDX1uJ+8kk8Tz6hn/GrxH9Lgskgb4y+wY+Hfsyx6WNkZZZNvk082/osT7c8TaWj8q79rNueVOZmkvtKFQDlxhLRCHPDg8wMDTAzeJGZoQH8UxOQK/Seikqq2zaw/clnqWnbQFXrOsxF2g87Gkwydn6R0fOLjPUsksjd+FfR6GbX0800bi6jqtldtN04l6RGRgj/7GeEX//ZcndOS3MzZV//Ou4nnsC2WbXx36pYOsbb42/zk6Gf8N7Ee6SzaRrcDXyj8xs80/oMrSWtKxrPTV8YFkJ0Ab8PNOW+TgBSSrn1HsWmXIeUkvDCHHMjQ8wODzI3PMTs8ADB2ZnlY1xl5VS1rGPT/oepziX8tTrE8s1IpzQmLwQY61lkvGeRhQm9O6vdbaZxs4/GjjIaNvmK/mxfSkni7DnCb/yMyBtv6DdwAdaOTVT8xj/C/fjjWNrW7uB990oik+D9ifd5dfhV3h5/m3gmTqW9ks+2f5ZnWp5hc9nmvL2mt9I76CXgnwDdwLVvqVXuukQkwvz4CPOjI8yPjTA/OsT86Mhyn3yEwFtdQ1XrejofeZKqljYqW9pwlJTmNe58y2pZZkfDjPf4Ge9dZGowSDYjMZgEtetK2fOpaho6fJTXuYq27/6SbCpF7MhRIm+9SfjNt8hMT4PBgGPXLqr+2TdxP/qo6sd/G5Jakg8mPuCnIz/lrdG3iGVi+Gw+fqHtF3iq+Sl2Vu3EIPL/SfNWisCclPKH9yySIialJBYMsDgxxsLEOIuTYyyMj7EwPko0N4wygMXuoKKpmfb9B6hobKa8sZmKpmYsNnseo18dpJQsTkYZ7/Mz3utnst9PKjfbWnmDi60HG2ho91KzvrSoe/Isyfj9RN5+m8hbh4i+9x7ZaBRht+Pctxf3b/wGrgMPqzt3b0NSS3J48jA/Hf4ph8YOEUlHKLGW8HTL0zzZ/CT3Vd+HybC6bs+6lWj+QAjx34A30LuJAiCl/N5dj2qNSkQiBGen8U9N4J+axD89iX9yHP/U5KUze8BstVFW30Dz1h2U1TdS3tBEWUMT7rJy9TE8R0pJYCbGRH+AiT4/E/1+4mG9Xd9TbmNdVxX17V7qNniLvokH9NcrdfEi4UOHiBx6m/ipU5DNYqwox/PMM7gefQTn7t1qrJ7bsNTU89rIa7w9/jbRdBSPxcPjTY/zZPOT3F9zP2bD6p0L5FaKwFeBdsDMpeYgCdxRERBClAL/DdiS+35fk1IevpPvmS/pRILQ/Cyh+TlCc7ME52YIzs4QnJkmODNFIhq54nh3WQXemlra9x/AV1OLr64BX12DSvbXcHnSn+z3M3EhQCyoz8vgLLXS0OGjfqOe9D3l6pMRQDaZJHb0KJFDbxM5dIj0xASgt++X/9rfw3XwILbNm1WPntsQTUd5d/xdXh95nXcn3iWeiVNqLeWp5qd4vOnxVZ/4L3crRWCblLLzHsTwx8CrUspPCyEswKqaFFRKSTqZIB4KEg0EiAb9xAJ+In4/Uf8CkcUFwosLRBbmfy7JG4wmPBUVlFRWU932ICVVNZRWVeOtrqWkuqbo+t/fimxWsjARYepigMkL+rJ0pu8ssVC3wUvdhlLqNngpqVzb8yrfivTEBJF33iHyzrtEP/wQGY8jbDacu3dT9o1fxXXgAObq6nyHWZD8CT+Hxg7xxugbHJ48TCqbosxWxidaP8HjzY/TVdW16pp6bsatRPyhEKJDSnn+bv1wIYQHeAj4CoCUMgWkbvQ1t2ui9zwLE6P6ENJSIrMamXSaTCpJJpkklYiTisdJxWMkohGSkQjxaIREKEQmfY2QhMBZUorT66Oksor6TZtx+crxVFTiKavAXV6By+fDYFDtzzcjk9aYHQ4zNRBg8kKQ6cEgqbg+3abbZ6Oxo4za9aXUbiilpEIl/SXZVIr48eNE3nmXyLvvkhoYAMBcX0/pL/4irocfwnH//aqZ5zZNRaZ4c+xN3hx9k+Mzx8nKLDXOGj6z8TM83vQ42yq2YSzwv/FbKQL7gS8LIYbQrwncjS6ircAc8OdCiG3ACeA3pJTRyw8SQrwIvAjQ2Nh4Wz+o5/23OfPaK9d8zmA0YrHZsTgcWOwObE4XnspqKp0u7B4PdrcHu8eDs9SLs8SLo7QUZ4kXg7Gwf/n5FAulmB4MMjUQZHogwOxomGxGv5/BW+1gXVcltetKqVlXgqdMNe8skVKSHhkh8t77RN99l+jRo/rZvtmM474uSl/4NK6HHsLS0qIK5W2QUtLv7+etsbd4c/RNehZ7AGgtaeXrW77Oo02P0uFbW/dGfOwdw8sHCtF0rf1SypHb/uH6vQcfAvuklEeEEH8MhKSU/+J6X3O7dwwnIhHSyQRCCITBgDAYMFksmMwWlczvsayWZWEyysxgkOnBENODQYJz+gikBpOgstFDTVsJNetKqG4rwe5SF3Ivp4XDxI4cIfLee0Tfe5/0uD6uk7mxEdf+/Tj378f5wP0YnMU7YumdSGfTnJw5yaGxQ7w19hYTkQkEgs6KTh5tfJSDDQdpKSn8KS1v+45hIYSQuusm+6VjbiOucWBcSnkk9/i7wO/dxvf5WDaXC5vr3oy9oVwpGkgyMxRiZlhP+rOjYTJJvbum3WOhprWEzQ/WUd3qoaLJXZTTKd6ITKeJd3cTff8Doh98QPyjj0DTMDgcOHbvxve1r+Latw9L0zXPy5SbEEwGeX/ifQ6NH+K98fcIp8NYDBZ21+7mVzt/lQMNByi3l+c7zBVxUwPICSH+FviBlHJ0aWfuIu5+4Mvog8x9+1Z/uJRyWggxJoTYKKXsAx4F7to1B+XeS8YzzI6EmB0OMTscZmY4RDSg9yA2GAXlDW427a2hutVDdUsJ7jLbmvoofTdIKUkNDBD94DDRw4eJHT1KNhoFgwHbli2UvfgNXPv26YOymQujx8lqNBwc5u3xt3ln/B1OzJxAkxo+m49HGh/hYONB9tTswWFeVf1SVsTNFIGngK8B3xFCtAABwAYYgdeA/0tKefoOYviHwEu5ojKI3hVVWYVSiQzzY2FmR/RlbjRMYCa2/Lynwk7t+lKqmj1UtXgob3Cps/zrSE9MEP3wQ6KHPyR65EO0uXkAzE2NeJ57DufevTh3P4CxpHiH+rhTKS3F8ZnjvDv+Lu+Mv8NoWD+HXe9dz1e3fJWH6x+ms7yz4C/s3qmbviYA+mihQDkQl1IG7lVQN6JGEV0ZiWiaubEw86MR5sZyCX82pt/JAbi8Vioa3VQ2eahs1tc2pzpLvZ70zCyxo0eJHT1C9MMjpMfGADCWleHcvRvnnt04du/BUq+GZ7gT09Fp3p14l3fH3+XI1BFimRgWg4X7a+7nofqHeLj+YWpdtfkOMy9u+5rA5XKjhU7dtaiUvJNZSWghwcJ4hPnxMPPjetKPLC7fFL6c8DfcX0VFo5uKRndRz551M9Kzs8SOHSN29BixI0dIDQ8DYHC7cdx/P74vfhHH7gewrl+vmsfuQFpLc3ru9HLivxjQB7yrcdbwXOtzPFT/EPfX3I/dpHqYXU/h3dmg3LZENM3iZJSFiQgLk1EWxiMsTEZI58bYEUKfGL2mrZTyh11UNLgpb3Sp3jo3IT01pSf9Y8eJHTt2Kek7ndi7dlH6wgs4HngA26Z2hOqNdkfGw+N8MPkB7028t3y2bzKY2FW5i+d3Pc+D9Q/SWtKqiutNupWhpH8J+N5t9gJSVlAqnmFxOop/KsripL4sTEaXL9gCWOwmyutdtO+uoazOSXmDG1+tUw2udhOklKSGh4mfOKEn/ePHl4dkMLjdOHbtovSFT+O4P5f0Tepc607E0jGOTR/j/cn3+WDyA0ZCekfFWmctz7U+x966veyu2Y3TrLrI3o5beXf+BfB9IcSvLE0yL4T4qpTyz+9NaMqN6COPpvDPxAhMR/FPx/BPR1mcil2R7I1mA74aJ/UbvfhqnZTVufDVOnF5repM6SbJTIZETy/xkyeInThJ7ORJtHn9Qq7R58PR1YXvy1/G0bUL68aN6kz/DmlZjZ7FHg5PHuaDyQ84PXeaTDaDzWjjvur7+Fz759hTu4cWj7oh7m64lSLQC7wN/K0Q4oXc9YF/CKgicA8lommCs3ECszGCc3ECMzF9mY0tN+MAmKxGfNUO6jd68dY48NU48dY48ZTbMRT5ePm3SguFiJ/5iPipk8ROniL+0UfImN4LylxXh3PvHhxdXTi6utSduXeBlJLx8DiHpw7z4dSHHJ0+SjAZBKDd186XOr7E3tq97KjcgcWomibvtlspAlJK+SdCiBjwQyHEL6IPHaHcgayWJeJPElpIEJqPE5qLE5qPE5yLE5yPk4xmLh0swO21UVrtoL21htIqB95qfXGWqjP72yGlJDU0TPz0aX05dYrkxYv6lJwGA9b2jZR+6lPYd+7AsWuXGnztLpmPz3N06ihHpo9wZOoIExG9Oa3KUcXBBr3P/gM1D1BmL8tzpGvfrRQBP4CU8n/kCsErrLIRP1cbKSWpeIaIP5lbEkT8ScILCcKLCcILCSKBJDJ76TKLMAjcPislFXbW76rCU2GnpMJOaaUDT4VN9bu/Q1ooRLy7m/iZM8RPnyZx5iO0oH7WaXC7sW/bhvvpp3Ds2IGtcytGl2pnvhtCqRAnpk9wdPooH059uNyLx212c1/1fXyp40vsqd1Ds6dZncyssJsuAlLKRy/b/q4QIsFt3CW8FmiZLIlImngkRTyUJhZKEsuto8EUsaC+jvgTZFJXzsQpBDi9Vtw+GzXr9DtoPeV23GU2SsrtuLzWop/c/G6R6TSJ/n4S3d16885HHy2PsglgWdeG6/HHsG/bhmPHDiytrWps/bskmo5yYuYEx6aPcXT6KL2LvWRlFqvRyo7KHTzb+iwPVD9AR1lH0d+slW+33W1BSvky+o1jBSEaSJKIpvVhpKXeP17LSLRMFi2dJZ3UyKQ00kmNVCJDKq6RimdIxNIkYxmS0TSJaJpEJL08beHVTGYDjlIrzhILZXUumraU4fJacZZacXlt+naJRSX5e0Bms6RGRkicPUu8u5vER90kenqQSf0iudHrxb51KyXPPYtt61bsnZ0YPZ48R712RNNRTs2e4tj0MY5PH+fcwjk0qWEymNhavpUXt77I/dX3s61im2rXX2WKpu/a8Z8Mc/btiZs+3mAUWOwmrA4TVocZm9NMaZUDm9OMzWXG7rZgd5uxuyw4PBYcJRbMVqP6KLsCpJSkx8ZInDtH/OxZEufOkzh3jmw4DICw27F1dOD97Gexbe3Evm0b5ro69bu5i4LJIKdmT3F8+jgnZk7Qs9iznPQ7yzv52pavcV/1fWyv3K5u1FrliqYIdOyrpW6DF2EAgUAYwGgy6IvZgNlqxGQxYrYasdiNqu19lVg+wz9/Xl/O6etsKASAMJuxbtyI59lnsHd2YtuyBWtbm+qbf5fNx+c5MXOCEzMnODlzkn5/PxKJ2WCms7yTr3d+na6qLpX0C1DR/KUsDXegrF7ZVIrUxYskenpJ9PSQ6Okh2durj6hJLuFv2IDnqaewbd6MbctmbOvXIyyqeeFuklIyEhrh1OwpTs6e5OTMyeXB1+wmO1srtvLr23+dXVW76CzvxGZSs5YVsqIpAsrqkllcJNnXR6K3j2Rvj74eGICM3iVWOBzYNm6k5PnnsW3uwNbRoZ/hq4R/16W0FOcXznN69jSnZk9xeu40i4lFAEqtpeyo3MFnNn6GnZU7aS9rL5gJ1JWbo4qAck9lUylSAwMk+/tJ9PeT7Osn2ddHZm5u+RhTRQXW9nZcDz+MbVM71vZ2LE1NqqfOPbIQX+DM3BlOz53mzOwZzs6fJZXV59FucDewv24/Oyt3sqNyBy0l6ma4tU4VAeWukJkMqdFRkhcukrxwgeTFiyT7+0mNjICWG6DObMaybh3OffuwbtyIbeMGrO3tmHy+PEe/dqWzaS74L3Bm7oy+zJ5hPJKbntJgpqOsg8+2f5YdlTvYXrm9aGbTUi5RRUC5JTKVIjUyQnJggOTAgH6Wf+EiyeFhSKf1g4TA3NCAdcN63E8+gW39eqwbN+pn9+qC7T01E53ho/mP6J7r5szcGc4vnCehJQAot5ezrWIbn9n4GbZVbGNz+WasRjUkeLFTf5HKNWmBAMmhIVKDQ6SGh0gODJIaGCA1Pr58Zo8QmOvqsK5bh+vAw1ha27CuX4+1rRWDXfUQudciqQjnF87TPd+tL3PdzMZnAf0sf1PZJj694dNsq9jG1oqt1DhrVNNOoclmYb4PRj6A0cNw4JtQ1nZXf4QqAkUsG4+TGh0jNTJManiE1PCwvgwNofn9lw40m7E0NWLduBH3M09jbW3F2taGpaVFJfsVktJS9C32cXbhLGfnz3Ju/hyDwUFkbqq3BncDXdVddJZ3srViK+2+dnVTViHS0jB1Jpf0P9QTf1y/SI+rGrZ/QRUB5dZokQjp0VE92Y+N6tsjo6RGRsjMzFxxrLGiHGtTM+7HHsPS3IylpQVrW6t+o5Vqxlkx6WyagcAA5+bPcX7hPGcXztLv7yeT1XtO+Ww+tpRv4cmWJ+ks72Rz2Wa8Nm+eo1ZuSyII48dg9Iie8MePQyauP+drhY3PQNMeaNoL3hZ93Jm7TP1lF7hsKkVmaorU+Djp8QnS4+OkJ8ZJjY2THhtDCwSuON5YVoalsRHn7t1YmpswNzZiaWrG0tyE0eXKz3+iiKW1NBcDFzm/cH556ff3L/fWcZvddJR38KWOL7G5bDOd5Z1UO6tVs04hkhICozB2RF9Gj8DMWUCCMEB1J+z6MjTuhsY94F6ZEWtVEVjFpJRkg0HS09Okp6ZIT02RmZoiPTFJelJfMnNz+ptricmEuaYGS0MDtiefxFxfh6WhEUtjA+bGRpXo8yiWjtHv76d3sZeexR56Fnq4ELiwfIbvMrvoKOvg85s+z+ayzXSUddDgblAJv1BlknrTztjRXOI/CpFp/TmLC+p2wcO/qyf9+i6w5udm1lVRBIQQRuA4MCGlfC7f8awEmUqRmZ8nMzdHenaWzMwsmZkZMrMzpGdmyUxPk56ZQcbjV36h2Yy5pgZzTQ3Offsw19Xlllos9fWYqqrUzFarwEJ8gb7FPnr9vfQu9NLr72U4OLzchl9qLV2eMGVT2SY2+TbR4G7AINS9EQVJSghN6Il+/DiMH9ULgKZ/oqO0CVoegob7oeEBqOwA46pIv6ujCAC/AfQABTuso5SSbCSC5vej+f1kFhfRFhfJLCyiLSyQWVggMz+PtjBPZnZueQz7K5hMmCorMFdW6TdPHTiAqaoql/SrMVXXYKooVzdRrSLpbJqR4Ah9/j76/f30LfbR5+9jPj6/fEyNs4Z2XztPNz/NRt9GOso6qHJUqTP8QpaMwOQpmDieS/rHL53lm2xQsx0e+DU96dfft2JNO7cj70VACFEPPAv8O+C3VvJnSykhk0Gm02STSWQiQTaeIBuPIeNxstEo2WgULRolG4mSDYfQwhGyoRBaKIQWDKKFgmj+gJ7UM5lr/hxht2MqK8NUXo65qQl7Vxem8nJMFRWYq6owVVRgqqzE6POpBL9KSSmZj89zwX+BC4EL9Pv76ff3MxAYIJ3V748wGUysK13H3tq9bPRuZFPZJjZ4N1BiLclz9Mod0TIw16sn/IkTMH4C5npA5uYK8bXqZ/n1XXrCr+4EY+EMrZH3IgD8Z+CfAve0QWzm3/97/H/9N/rHNikhm0Uu3dx0s4TA4HJhcLswlpRi9HiwtrRi3OnFWFqqL14vJl/ucVk5Jp8Xg0NNwFZIwqkwA4EBLgQucNF/cXntT17qNlthr2CDdwN7Nu1hg28DG7wbaClpUePqFDopYXEwd5Z/EiZP6s06aX2OaWylelv+puf0dd0ucBb2XdZ5LQJCiOeAWSnlCSHEgRsc9yLwIkBjY+Nt/Sz7rl1gMOpdrAQIgwFhNl9arDaEzYrBZsPgcGCw2/W1y6UvTicGp1Odqa8hkVSEweAgA4EBBgIDXAxeZCAwwHR0evkYh8nBOu86Hml8hPXe9awvXc867zp8NjXURcGTEoJjMHlaT/pLSyKgP2+yQfVW2PllqNupJ3xf6z3ppplPQl7es2Slf7gQ/x74IpABbOjXBL4npfyV631NV1eXPH78+ApFqKwFgUSAweDgcsIfCg4xELwy2VuNVlpLWmktbdUTfek61nnXUeOsURdr14LLE/7U6Uvr2IL+vMGkX6yt3aEn/NqdULmpoJp1Po4Q4oSUsuvq/Xn9JCCl/CbwTYDcJ4HfuVEBUJTr0bIak9FJhoPDDAWHGAoN6evg0PKwyAA2o42WkhZ2Ve1iXek6WktaaStto95Vr+a6XSuyWfAP6Ul+6iO9OWfqzKU7b4VRT/Abn9Yv4NbugKotYC7OeRFWwzUBRblpwWSQ4dAww8FhRkIjDIf0pD8aGl2+wQr0LpitJa0caDign+HnzvLVmf0ak0npF2mnu/WEP/0RTJ+FlD7VKAYzVHXobfg12/WlanPRJvxrWTVFQEp5CDiU5zCUVSCSijAaHmU0NMpIaITR8CjDoWFGQ6MEkoHl44zCSIO7gSZPE/vr9tNS0kKzp5nmkmbVZr8WxRb1O2ynz+pJf7pb77WT652F2QnVW2DbZ6FmG9RshYpNYFJjKN3IqikCSvGQUuJP+hkLjy0v4+FxRkOjjIZHr2i+AahyVNHkaeKxpsf0JO9pptHTSL27XvXGWYu0DCwOXEr4M+f07dDEpWNcVXpXzPWP6U05Ndv0i7aqSe+WqSKg3BMpLcVkZJLxyDgT4QnGI+OMh8cZj4wzFh4jmo5ecXyVo4pGTyMHGw4un903ehppcDeoicvXKikhMqMn+dnzMHMeZs/BbC9oSf0YgwnKN0DTPv0sv7oTqjrBVZHf2NcQVQSU25LSUkxHp5mMTjIZmWQiMrG8nohMMBebWx4iAcBisFDnrqPOVceOyh00uBuWlzpXnZqsfK1LBPXkPnseZnty6/OXeueAfnZftRnu/4Z+dl+9RS8AJjXxzb2kioDyc6SUBJNBpmPTTEenmYpO6UtkisnoJFORKebj81ckeYMwUOWoos5Vx+6a3dS76qlz1+lrVx0Vjgp1QbYYJMMw169frJ3NLXO9VzblWFx675z2Z6Fys37htnIzOMvyF3cRU0WgyEgpCSQDzMZmmYnNMBObYTo6zUx0humYvp6JzRDPXDlwndlgptpZTa2zlr21e6lz1VHjqqHWWUudu45KR6Vqny8m8QDM98Ncn57kl9bBsUvHGK1QkWvKqdyk98Ov3AQlDaBuulw1VBFYI6SUhFIh5uPzzMXnmIvN/dx6JjbDXGzuiq6UoJ/FV9grqHJWsd67ngfrH6TaUU21s5oaZw01rhp8Np86ky82UkJ4Wp/ecK5fT/pL25FLN9phskH5en1I5IqvQEW7nuy9zepCbQFQRWAVy8os4VSYhcQCi/FFFhOLLCQWWIgvXFrHF5iPzzMfn/+55A5gN9mpclRR4ahgW8U2qhxVVDoqqXRUUu2sptJRSbm9HJNBvRWKVjqhj5ezcAHml5Z+WLgIydCl46wevY2+7RGo2Kgv5RtUsi9w6i9/hWhZjXAqTCgVIpgMEkgGCKaCBBIBAslLiz/hx5/0sxhfJJAMoEnt576XQRgotZZSbi+nzFZGk6eJcnv58lLhqKDCXkGFowKn2ZmH/62y6mSzerv8wsUrl/kL+mxXl13fwVMP5ev0/vblGy4t7uo1N26OoorADUkpSWfTxDPxK5ZYOkYsEyOaji4v4VR4eR1OhYmkI8tJP5QMEU6Hr/tzBIISawlemxev1UuDq4Gt5Vvx2Xx4bV58Nt/yUmYvw2v1qiEOlJ+31OVyYUA/s18c0LcXBvTtTOLSsWanPmF5fdelZF+2Tl+sava5YlI0ReClnpd4a/QtZO5fVmbRshqa1MhkM6SzaVJailQ2RTKTJKElSGpJsktjhn8MgcBhduC2uHGZXbgtbiodlbSVtuG2uCmxllBiKcFj9VBqLcVj8eiJ3+rFbXGrpK7cnGxWb49fHITFodw6l/AXhyAVuXSswaRPTl62DtoO6km/bL3+WJ3VKzlFUwQy2QypbAqB/sY3CAM2kw2jMGIymLAYLfraYMFmsmE1WrEardhNdmwmGzaTDYfJgd1kx26y4zK7cJqdOMwOXGYXDrNDXThV7o5MUm+i8Q/rid0/dGntH77yjN5g0qcu9LXqvXB8reBrg7JWKGlcNVMYKqtXXoeSvh1qKGml4C012/hHIDCiJ3b/0no416f+sr9Ls0O/+OptAV9u8bboZ/aeepXolZuyKoeSVpQ1SUr9TtjASO6MPrcOjF7ad/nZPICrWk/uzfvB23Qp4Xub9TtpVdONco+oIqAotyqr6f3ng2MQGIPgaG49dmm9NB3hErsXShv1bpXrn9CTe2lTbt0AZjU+kpIfqggoyuWk1Me5CY7rzTLB8UtLaEJP8KFJyGau/Dq7T0/mFRtg3WP6dmmTnvhLG8CmJptXVidVBJTisZTgQ5O5ZSK3HofgxKV9l/ewAf3iq7sWSuqhcQ946vTEXtKo7yupV90qlYKlioCyNmhp/WJreFpP5uGpa6+vbqZBgKtST+wVubthS+r0x0sJ3lWl7ohV1ixVBJTVbTm5z+j948O5ZXl7Sn8uOscVPWpAn1rQXQOeGn1o4vVPgKdWX9y1erJ3VauZp5SipoqAsvKyWX3S78gsRGf1dWRWT/aRWT3BLz2+fLz5ZQKcFfoNT+5afaJwd23ucS7pu2vBUaZGq1SUj6GKgHJ3pOMQnYfYvL6Ozl1aInN6sl/enoNrjImE0ao3vbgq9C6Sjbtzj6v0BL+0dlaqvvGKcpeovyTl52U1/QJqbEGf3Du2cNkyD9GFS8l+6fFV00UuM9n0pO2q0G9sqtmut8Ev7XNVXdq2lar+8IpymYyWZTqUYDKQYCIQY9+6cirdd3cWPlUE1rJsFhIBfYn79YlA4n79ccyf2+fXm2Zii5et/fxc+/oSkw0c5fosUI4yfRwaZ0XucXluO/fYWQkWp0rsinIdoUSayUCcqUCC8UCcySuWBNOhBFr20t/if/tSF491rKEiIIRoAP4HUA1kgW9JKf84nzGtKlpan64vEdTXyRAkQrnHufUVS0BfxwO57RDXTeagT/Nn94K9VO/nXtKprx1l4PDp20vJ3u4DZ7me1BVF+VjxlMZUMM5UMKEn+mCCqaCe3JfWkeSV95uYDILqEht1pXYeaPFRW2qnzmunLreu9979mwrz/UkgA/y2lPKkEMINnBBCvC6lPJ/nuG6NlPqgX+mY3jaejuvNI+k4pKL6/lT0qiWiL8nL1slQbjusP75qisdrMjvB5tFvRrKV6r1dyjfqid1WmkvwXn2xlerJfWm/msBbUW5LOJFmJpRgKphgOrdMhXLrXLIPxNI/93VlTgs1pTaay5zsbSunttRGbamdmhI9wZe7rBgNK/vJOa9FQEo5BUzltsNCiB6gDrj7RaDvJzB+TE/YADJ7aclqkE3rd4FqGX1bS+ln4pkkaEnIpPTxXrSUntwzST1JZ5L64xudcV+L2amfVVtd+hm5xaX3bLG69X1WT25x60ne6tYfLyV8a4m+bVTz+irK3ZLRssxFksyEkkwHE8yE9GV6aR1MMBNK/twZPIDPaaGmxEZdqY2djaW55G6jusRGbYmd6hIbNvPqu98k358ElgkhmoEdwJFrPPci8CJAY2Pj7f2AgTfh2J/m2qeFvhZGEAb9RiCDSV+MZn0xmMFo0fuQG6362ubRz56NVjDbwGTXH5sdlx5bHLnHdn1tcV5aW1y5552q66KirCAtK5mPJJkNJZkN64l8eR1KMJPbno8kuXpgZZNBUOm2UlViY0OVmwfXVywn9yqPnuArPdZVmeBvxqoYSloI4QLeBv6dlPJ7NzpWDSWtKMqSeEpjLqwn9LlwkrnLEv1seGk7yWI0SfYaqa7MaaHKY6PKY6XSra+rSmxUe2y5/TbKnBYMK9xEcy+s2qGkhRBm4G+Blz6uACiKsvYl0hrzkSTzkRTz4WRuO8lcWN+3lOznwtduljEIKHdZqfRYqS6xsbW+hEq3lQqPjUq3VT+r99god1mxmNQn8nz3DhLAnwI9Usr/lM9YFEW5N6SUhOIZ5qNJFiIpFiJJ5qO5dUTfd3nSD18jsQN4bCYq3FbKXVY6aj16Ys89XtqucFspc678xdVClu9PAvuALwLdQojTuX3/TEr54/yFpCjKjWSzklAizUI0xWI0xUIkhT+mb89HkixGl7b1RO+PpUhr12529jrMlLmslLssbK71UJ7bLnddSvDlbitlTkvBtrmvdvnuHfQeoEq2ouSJlJJoSsMfvZTIA7E0i5c99seuTPT+WPqKG5gu57KaKHNZ8Dkt1JXa2FpXgs9locypJ3Zfbl3usuB1WjAbVXNMvuX7k4CiKHdJWssSiKUJxvVE7o+l8cdSBHNrfyxNIKYn86VEH4ilSWnZa34/gwCvQ0/WPoeF1nIXu5os+JxmfE797NyXW8pcFrwOdbZeiFQRUJRVZOnMPBhPE4yl9XVcT+zBeDqX5NMEcs8Hcgk/EEtf8yLpEqNB4HWYKXVY8DrMNPgcbKsvpdRpxuvQE7k399xSYvfYzGuiV4xyY6oIKMpdlspkCSfShBIZQvE0oUSaUDxDcHk7ndvOLCf50GXrzHWaWkDvs15iN1NiN1PqMFPptrG+0k2pQ0/mpblEX5p7fmmfy2pCqDGclGtQRUBRLpPRsoQTGX1Jpi9tJ/Qz7XAis5zUw4n08uNwLuGHExni6WsMk32ZpUTuWVpsJhq89uXk/nOL49K2SubK3aaKgFLwpJTEUhrRZIZIMkM0qRFOpokmNSLJNJGkRiSR0bcTGcLJTO5xbrls38clcACLyYDHZsJtM+O2mSixm6kpseG26gl76TmP3YTHZsZtM+eSvv7YYTGqRK6sGqoIKCtKSkkyk11O2rGURiyVueJxJJkhltKTeSyVIZJbLyX5pWOiuYQfTWV+7lb/azEaBC6rCZfVhNNqxG3T278bfI7lxO20mHDbLl/MV61NWE3q4qeydqgioFwhm9WTdDytkUhrxFL6Op7WiKe0K/YvPY6nco/TS0l9aV8mt//KfTdo8v45drMRp9WEy2rEYdETuM9pocHrwGk14rKacVn1Y5y5BO+6fNuWS/hWMzazQZ2BK8pVVBFYhaSUpDVJSsuSTGuktCypjL4klxdNX6cv39YuPZ/bTqQ1EuksiYx2aTutkcgds7RvKbknM9fuLngjBgEOiwmb2YjDoi/23NrntOKwGHHmkrj+vGn5GJfVpB9rvpTI9eNNOMxG1TtFUe6xoikCvdMhxhcvjc8vgayUSKkn3azUH2elRMvqi74NmpRks5JMVqJls/pak6SXHmt60s5ks/pa049Ja1nSmv58Kred1vT9qUz20r7MpX3J3PpusJkNWE1GbGYDNrMRq0lf20xGPDYTNrcVu1l/Xl8bseYS+dJ+m9m4/JzDoq+XErzDbMJmMWAxqjNsRSlURVMEXvpwlP/54chd/75Gg8BkEJiNBkxGgclgwGwUmIwCs8GwvN9i0rdtZv2iotmoP7aY9CRqNgksRmPusX780nNWsxFL7lir6dLjpSRvMV3atpr1Y1RiVhTlZhRNEfi1A218pqvhin1CgEEIhNCTuUGAEAKjEBgN+n6TwYDBAEYhMBkNmAxiOfHrx6hEqyhK4SqaIlBXqs/TqSiKolyiRm9SFEUpYqoIKIqiFDFVBBRFUYqYKgKKoihFTBUBRVGUIqaKgKIoShFTRUBRFKWIqSKgKIpSxFQRUBRFKWJ5LwJCiKeEEH1CiItCiN/LdzyKoijFJK9FQAhhBP4f4GmgA/icEKIjnzEpiqIUk3x/ErgfuCilHJRSpoC/BJ7Pc0yKoihFI98DyNUBY5c9HgceuNEX9PX1ceDAgXsZk6IoStHIdxG41jjMPzf5oBDiReBFAKvVeq9jUhRFKRr5LgLjwOWD/NcDk1cfJKX8FvAtgK6uLnno0KEVCU5RFGWtuN7cJ/m+JnAMWC+EaBFCWIDPAj/Mc0yKoihFI6+fBKSUGSHEPwB+ChiBP5NSnstnTIqiKMUk381BSCl/DPw433EoiqIUo3w3BymKoih5pIqAoihKEVNFQFEUpYipIqAoilLEhJQ/d2/WqiaEmANGbvPLy4H5uxjO3aLiujUqrluj4ro1azWuJillxdU7C64I3AkhxHEpZVe+47iaiuvWqLhujYrr1hRbXKo5SFEUpYipIqAoilLEiq0IfCvfAVyHiuvWqLhujYrr1hRVXEV1TUBRFEW5UrF9ElAURVEuUxRFYLXMYyyEaBBCvCWE6BFCnBNC/EZu/78SQkwIIU7nlmfyENuwEKI79/OP5/b5hBCvCyEu5NbeFY5p42WvyWkhREgI8Y/z8XoJIf5MCDErhDh72b7rvj5CiG/m3m99Qogn8xDbHwkheoUQHwkh/k4IUZrb3yyEiF/22v3JCsd13d/dSr1m14nrry6LaVgIcTq3f0Verxvkhnv/HpNSrukFfXTSAaAVsABngI48xVID7Mxtu4F+9LmV/xXwO3l+nYaB8qv2/e/A7+W2fw/4j3n+PU4DTfl4vYCHgJ3A2Y97fXK/0zOAFWjJvf+MKxzbE4Apt/0fL4ut+fLj8vCaXfN3t5Kv2bXiuur5/xP4lyv5et0gN9zz91gxfBJYNfMYSymnpJQnc9thoAd9is3V6nngv+e2/zvwyfyFwqPAgJTydm8UvCNSyneAxat2X+/1eR74SyllUko5BFxEfx+uWGxSyteklJncww/RJ2xaUdd5za5nxV6zG8Ul9JlXPgN851787BvEdL3ccM/fY8VQBK41j3HeE68QohnYARzJ7foHuY/uf7bSzS45EnhNCHEiN50nQJWUcgr0NylQmYe4lnyWK/8w8/16wfVfn9X2nvsa8JPLHrcIIU4JId4WQjyYh3iu9btbLa/Zg8CMlPLCZftW9PW6Kjfc8/dYMRSBm5rHeCUJIVzA3wL/WEoZAv5foA3YDkyhfxxdafuklDuBp4G/L4R4KA8xXJPQZ537BeBvcrtWw+t1I6vmPSeE+H0gA7yU2zUFNEopdwC/BfwvIYRnBUO63u9utbxmn+PKk40Vfb2ukRuue+g19t3W61UMReCm5jFeKUIIM/ov+SUp5fcApJQzUkpNSpkF/iv3sOngeqSUk7n1LPB3uRhmhBA1ubhrgNmVjivnaeCklHImF2PeX6+c670+q+I9J4T4MvAc8AWZa0jONR8s5LZPoLclb1ipmG7wu8v7ayaEMAG/CPzV0r6VfL2ulRtYgfdYMRSBVTOPca698U+BHinlf7psf81lh30KOHv1197juJxCCPfSNvpFxbPor9OXc4d9GfjBSsZ1mSvOzvL9el3meq/PD4HPCiGsQogWYD1wdCUDE0I8Bfwu8AtSythl+yuEEMbcdmsutsEVjOt6v7u8v2bAY0CvlHJ8acdKvV7Xyw2sxHvsXl/1Xg0L8Az61fYB4PfzGMd+9I9sHwGnc8szwP8EunP7fwjUrHBcreg9Dc4A55ZeI6AMeAO4kFv78vCaOYAFoOSyfSv+eqEXoSkgjX4W9vUbvT7A7+feb33A03mI7SJ6m/HS++xPcsf+Uu53fAY4CXxiheO67u9upV6za8WV2/9t4NeuOnZFXq8b5IZ7/h5TdwwriqIUsWJoDlIURVGuQxUBRVGUIqaKgKIoShFTRUBRFKWIqSKgKIpSxFQRUBRFKWKqCCiKohQxVQQU5Q4IIey5gcWMt/A1FiHEO7lhChQlr1QRUJQ78zXge1JK7Wa/QOpDmr8B/PI9i0pRbpIqAopyHbmZnh7Pbf9vQoj/co3DvkBuPJfcLFS9Qoj/JoQ4K4R4SQjxmBDi/dzMUJcPdPf93NcqSl6pYSMU5Tpyw2n/G/TRLj+PPhibdtnzFmBUSlmde9yMPmbPDvTxZo6hjznzdfShsL8qpfxk7lgjMC2lrFip/4+iXItqk1SU65BSvpMb3fG3gAPXaPIpBwJX7RuSUnYDCCHOAW9IKaUQoht9qsKl760JIVJCCLfUZ5JSlLxQzUGKch1CiE70uV+T10nUccB21b7kZdvZyx5n+fmTLiuQuAuhKsptU0VAUa4hN+79S+hzuUaFEE9efYyU0g8YhRBXF4Kb+f5lwJyUMn3HwSrKHVBFQFGuIoRwAN8DfltK2QP8W+BfXefw19DHgr9VB4Ef31aAinIXqQvDinIHhBA7gN+SUn7xFr/ue8A3pZR99yYyRbk56pOAotwBKeUp4K1bvVkM+L4qAMpqoD4JKIqiFDH1SUBRFKWIqSKgKIpSxFQRUBRFKWKqCCiKohQxVQQURVGKmCoCiqIoRUwVAUVRlCL2/wMRyuV2U4I+cQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.subplot(111, aspect=10)\n", - "zstart = np.arange(1.0, 10, 1)\n", - "for zs in zstart:\n", - " trace = tt.timtrace(\n", - " ml,\n", - " xstart=rw,\n", - " ystart=0,\n", - " zstart=zs,\n", - " tstartend=[0, 1000],\n", - " tstartoffset=tmin,\n", - " tstep=100,\n", - " nstepmax=100,\n", - " hstepmax=2,\n", - " silent=True,\n", - " )\n", - " xyzt = trace[\"xyzt\"]\n", - " plt.plot(xyzt[:, 0], xyzt[:, 2])\n", - "for y in [0, H, H + Hstar]:\n", - " plt.axhline(y, color=\"k\")\n", - "plt.xlabel(\"$x$ (m)\")\n", - "plt.ylabel(\"$z$ (m)\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 4. A well in the bottom aquifer of a two-aquifer system" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Consider a pumping well in the bottom aquifer of a two-aquifer system; the aquifers are separated by a leaky layer. The well starts pumping with discharge $Q$ at time $t=0$. The well is located at the origin of the coordinate system. " - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "# parameters\n", - "k0 = 20 # hydraulic conductivity aquifer 0, m/d\n", - "k1 = 40 # hydraulic conductivity aquifer 1, m/d\n", - "H = 10 # thickness of both aquifers, m\n", - "Hstar = 2 # thickness of leaky layer, m\n", - "c = 100 # resistance of leaky layer, d\n", - "Ss = 1e-4 # specific storage of both aquifers, m^(-1)\n", - "npor = 0.3 # porosity of both aquifers, -\n", - "Q = 100 # discharge of well in aquifer 1, m^3/d\n", - "xw = 0 # x-location of well\n", - "yw = 0 # y-location of well\n", - "rw = 0.3 # radius of well" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = tt.ModelMaq(\n", - " kaq=[k0, k1],\n", - " z=[H + Hstar + H, H + Hstar, H, 0],\n", - " c=[c],\n", - " Saq=[Ss, Ss],\n", - " poraq=npor,\n", - " porll=npor,\n", - " tmin=0.01,\n", - " tmax=10000,\n", - " M=10,\n", - ")\n", - "w = tt.Well(ml, xw=0, yw=0, tsandQ=[(0, Q)], layers=1, rw=0.3)\n", - "ml.solve()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Five pathlines are started in the top aquifer an five in the bottom aquifer at a distance of 200 m from the well and followed for a maximum of 10,000 days. The pathlines in the bottom aquifer all reach the well within that time, but the pathlines in the top aquifer don't. " - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "zstart = np.hstack((np.arange(1, 10, 2), np.arange(13, 22, 2)))\n", - "plt.subplot(111, aspect=5)\n", - "for zs in zstart:\n", - " trace = tt.timtrace(\n", - " ml,\n", - " xstart=200,\n", - " ystart=0,\n", - " zstart=zs,\n", - " tstartend=[0, 10000],\n", - " tstartoffset=0.01,\n", - " tstep=100,\n", - " nstepmax=100,\n", - " hstepmax=10,\n", - " silent=True,\n", - " )\n", - " xyzt = trace[\"xyzt\"]\n", - " plt.plot(xyzt[:, 0], xyzt[:, 2])\n", - "for y in [0, H, H + Hstar, H + Hstar + H]:\n", - " plt.axhline(y, color=\"k\")\n", - "plt.xlabel(\"$x$ (m)\")\n", - "plt.ylabel(\"$z$ (m) - VE:5\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Example 5. A partially penetrating well in a four-layer system" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Consider a partially penetrating injection well. The aquifer is simulated by 4 layers and the well is screened in the second layer. The well starts pumping with discharge $Q$ at time $t=0$. The well is located at the origin of the coordinate system." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "k = 10 # hydraulic conductivity of aquifer, m/d\n", - "H = 5 # thickness of each layer, m\n", - "Q = 100 # injection rate of well, m^3/d\n", - "Ss = 1e-4 # specific storage of both aquifers, m^(-1)\n", - "npor = 0.3 # porosity of both aquifers, -\n", - "tmin = 0.01 # minimum time, d" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = tt.Model3D(\n", - " kaq=k, z=np.arange(4, -1, -1) * H, Saq=Ss, poraq=npor, tmin=tmin, tmax=1000\n", - ")\n", - "w = tt.Well(ml, xw=0, yw=0, tsandQ=[(0, -Q)], layers=1, rw=0.1)\n", - "ml.solve()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Start 11 pathlines near the well and trace for 100 days. " - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "zstart = np.linspace(10.01, 14.99, 11)\n", - "for zs in zstart:\n", - " trace = tt.timtrace(\n", - " ml,\n", - " xstart=1,\n", - " ystart=0,\n", - " zstart=zs,\n", - " tstartend=[0, 100],\n", - " tstartoffset=tmin,\n", - " tstep=5,\n", - " nstepmax=200,\n", - " hstepmax=2,\n", - " silent=True,\n", - " )\n", - " xyzt = trace[\"xyzt\"]\n", - " plt.plot(xyzt[:, 0], xyzt[:, 2])\n", - "for z in np.arange(4, -1, -1) * H:\n", - " plt.axhline(z, color=\"k\")\n", - "plt.axis(\"scaled\")\n", - "plt.xlabel(\"$x$ (m)\")\n", - "plt.ylabel(\"$z$ (m)\");" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/pumpingtest.ipynb b/notebooks/pumpingtest.ipynb deleted file mode 100644 index 4eb376a..0000000 --- a/notebooks/pumpingtest.ipynb +++ /dev/null @@ -1,849 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### TTim example of pumping test analysis" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "\n", - "%matplotlib inline\n", - "import ttim" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Load data of two observation wells" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "drawdown = np.loadtxt(\"data/oudekorendijk_h30.dat\")\n", - "to1 = drawdown[:, 0] / 60 / 24\n", - "ho1 = -drawdown[:, 1]\n", - "ro1 = 30\n", - "\n", - "drawdown = np.loadtxt(\"data/oudekorendijk_h90.dat\")\n", - "to2 = drawdown[:, 0] / 60 / 24\n", - "ho2 = -drawdown[:, 1]\n", - "ro2 = 90" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Pumping discharge" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "Qo = 788" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Create model" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=60, z=(-18, -25), Saq=1e-4, tmin=1e-5, tmax=1)\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.1, tsandQ=[(0, 788)], layers=0)\n", - "ml.solve()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Create calibration object, add parameters and first series. Fit the model. The chi-square value is the mean of the squared residuals at the optimum." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "................................\n", - "Fit succeeded.\n", - "[[Fit Statistics]]\n", - " # fitting method = leastsq\n", - " # function evals = 29\n", - " # data points = 34\n", - " # variables = 2\n", - " chi-square = 0.03407764\n", - " reduced chi-square = 0.00106493\n", - " Akaike info crit = -230.786130\n", - " Bayesian info crit = -227.733409\n", - "[[Variables]]\n", - " kaq0: 68.6397730 +/- 1.43819795 (2.10%) (init = 10)\n", - " Saq0: 1.6071e-05 +/- 1.5821e-06 (9.84%) (init = 0.0001)\n", - "[[Correlations]] (unreported correlations are < 0.100)\n", - " C(kaq0, Saq0) = -0.891\n" - ] - }, - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq068.63981.4381982.09528-infinf10[68.63977303108574]
Saq01.60707e-050.0000029.84458-infinf0.0001[1.6070732564873654e-05]
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" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 68.6398 1.438198 2.09528 -inf inf 10 \n", - "Saq0 1.60707e-05 0.000002 9.84458 -inf inf 0.0001 \n", - "\n", - " parray \n", - "kaq0 [68.63977303108574] \n", - "Saq0 [1.6070732564873654e-05] " - ] - }, - "metadata": {}, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rmse: 0.031658860783793714\n", - "mse: 0.034077637848339476\n" - ] - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=10)\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-4)\n", - "cal.series(name=\"obs1\", x=ro1, y=0, layer=0, t=to1, h=ho1)\n", - "cal.fit(report=True)\n", - "display(cal.parameters)\n", - "print(\"rmse:\", cal.rmse())\n", - "print(\"mse:\", cal.rmse() ** 2 * len(ho1))\n", - "h1a = ml.head(ro1, 0, to1, 0) # simulated head\n", - "h2a = ml.head(ro2, 0, to2, 0) # simulated head" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "....................................\n", - "Fit succeeded.\n" - ] - }, - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq071.58251.5739502.19879-infinf50[71.58246640830718]
Saq02.9107e-050.0000026.65754-infinf1.5e-05[2.910701703574875e-05]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 71.5825 1.573950 2.19879 -inf inf 50 \n", - "Saq0 2.9107e-05 0.000002 6.65754 -inf inf 1.5e-05 \n", - "\n", - " parray \n", - "kaq0 [71.58246640830718] \n", - "Saq0 [2.910701703574875e-05] " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# second observation well\n", - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=50)\n", - "cal.set_parameter(name=\"Saq0\", initial=1.5e-5)\n", - "cal.series(name=\"obs1\", x=ro2, y=0, layer=0, t=to2, h=ho2)\n", - "cal.fit(report=False)\n", - "display(cal.parameters)\n", - "h1b = ml.head(ro1, 0, to1, 0) # simulated head\n", - "h2b = ml.head(ro2, 0, to2, 0) # simulated head" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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LBtRhYg8fsmdz5IOl+6n/1SambD7BjXtRlg7TvsTVACpHcHAAHSMbbaxYjdL5eKNJ+Qwps6pevTp9+vTBz8+PWrVqERAQgI+PDwCVK1dmzpw5mEwmrl69ysCBA7l16xbt2rXDZDLRqFEjxo8fD8DEiRMJDQ3FZDLh6enJ1KlTk3zOzp07s2DBArp27fr4ZyNGjCAqKgqTyYSXlxcjRowAYODAgdy+fRuTycTYsWPx80t8tm7ixImUKFGCs2fPYjKZCAgIeOb3RvznWQYKbrlc6OFXip/7+RH2cQu+6VKNykVz80tIBJ2nhlD7yw188tsBtp24QvSjmEx8FVamaDVoMxb+dxS6zIZCnhA8Hr6vDj+1hj3zICqJoxLj52xHZ8ju9t9RrTI5YnUkZz8ts3K2srVjp2vWrKkTOwMxLbTWbD0eybTAEwQdu0IuFyd6+JWkX/0yFH3u6aUMkQni6vuyuxn1grIMaRaHDx+mcuXKlg7DbiT2fiulwrTWNS0UkkVkRN5+VrfuR7HxyCXW7L/A5n8ucT8qBreczvhXKUwrr6LULedGNkc7m5e6eQ72LoA9cyHyOGTPDzV6g19/yFPsyWvj12SHBxkDbP3IGHg3HQ4N/meZ12DjJGebV1pztt3XZCdGKUV9jwLU9yjAgX9vMD3wJD9tDWfW1nBe8C5O/4ZlqVhEdqlnqvg1gIU9n95QI5tshBAZKLdrNl7wLs4L3sW5+zCazUcvs+bABVbuOcf8nWd4Lns2+tR159UGZcjjms3S4ZpHnmLQ4B2o/7aRb3dMg63fwbZJYOoKdd+EQrEDjoR12wnP35acLeyQzGSn0pmrd5kZfIqFu85wL+oRTSsVYkDDsviVyZ/monqbPjJQa8jsTQayySbTyKyIeclMtsEaZrKTcj/qEUHHrjAj6CQ7Tl0ll4sTbzQpT++6pcnhbIfzVNfCIeQH+PtniL4HHi2h3lAoXffJ3B9/UA2SszOJ5GzzSmvOtrO1r/QrmT8Ho9pXYduwprzTogJ7zlyn2/TtvPjDNtbsP8+jVG6WiTt66tt1R+k5Y3uGHQZvNXZMg4Uvw8VDKV+bXqltBSyEEM/INZsj+XM6s/fsdRRw92E0X/15hIZjN/FT8CnuR9nZBvl87kbt9tsHofFH8G8ozG4DM5rB4d8hJraOvaSfUSJS0k9ytrBbMshOo3w5nRnSzIOtHzTl0w5eXL3zkIFz/6bZt5uZuyMixYSb2NFTNkXHwIlNMKUuLO4Dl45k/HMk3GQTtxQpO9mFEJkgLm9rjF61L/mVwqNQbv7vj0M0+WYz83acJsqeNkkC5HSDxh/AWweg7bdw9yos7AXTGsDBFf8NtkFytrBbdrjWlTGyOzvycu3SvORXij8PXGBa4AmGLz/A+L/+oU9dd3rVLk3eHM5PPS6jz6i0OnUGQbXuEDIZdkw1kq1XJ2j0ARSskDHPkVhzBFmKFEJkkoR5u1ONEtQonY9tx6/wzbqjfLR8P1O3nGBoMw86+BTH0Z76LDjnAN8AqN4HDiyFwLGwuLdxOknjD6Hy85Kzhd2SmuwMorVm+8mrTAs8weajl8nh7Eh331K82qAMxfM+eSKJTddkx3cnEkK+hx3Tjdq9ql2MwbZbuYx9nqBvn9zJXuMVeK6kbLBJB6nvMy+pyTZYc012nKTyttaazUcv8826oxw8d5NyBXPyTouKtPYqYp9NzWIewcHlsHkMRB6DYj7QdASUa/pfzXbCnC2nj6Sb5GzzkppsC1FKUaecG7P7+rFmaANaVSnCzyHhNBy7ibcW7ObQuZuPr83IMyqtWk43aD4K3toHdQbDoZUwyReWD4SrpzLueZ44V9sRds+T81kFAO7u7ly5ciVd1wwfPpySJUuSK1euzApPZCFJ5W2lFE0qFeKPN+sztVd1HJTijXl/0/b7YNYfuphsRzyb5OAIVTvDoO3wwg/GZMuvHWF2Ozi93bgmsXO1pXREYHs5WwbZmaBy0TyM6+bNlveb0KeuO+sOXaTNxCBe+Wkn245fsb+km7MA+H9qDLZrD4SDy2BSTVj9Hty+/Oz3j1uKbDocfHpBTLRssBHP7Pnnn2fnTvmjL1JHKUUrr6L8+VZDJnTz5u7DaAJ+DuXFH7YRfMwO876jk9Ge/c1QaPONMav9U0tY0BOy5/svZ7caY/RCkIkR8YysMWfLIDsTFc+bnRHtPAkZ1oz3Wlbk0LmbvDRjB89PCmbVvvP2l3RzFYKWn8OQPeDzMuyaCRO9IfAbiLr3bPeO28lercfTG2xElhEeHk6lSpUICAjAy8uLnj17sn79eurVq4eHh8fjBHr16lU6dOiAyWSidu3aj1vlRkZG4u/vj4+PDwMGDHji39ivv/6Kn58f3t7eDBgwgEePkt+kXLt2bYoWLZp5L1bYJEcHRQef4qx/pxFjOlbl0s379Jq5g+7Tt7Mr/KqlwzM/Jxfwe83I+01HwMktMLmW0eTG52W4Fyknj2RhkrOTJzXZZnQ/6hHLd//L9MCTnLpyBz/3/PxfhypUKpLH0qFZxuV/YP1IOLraqKFuPsrYJPms52xL04N0i19vNvr3g0+UOWUEz2J5GPl8lSR/Hx4eTvny5dm9ezdVqlTB19eXatWqMXPmTFauXMmsWbNYsWIFb775JgUKFGDkyJFs3LiRd955hz179jBkyBAKFCjAJ598wqpVq2jXrh2XL1/m8uXLvP/++yxbtoxs2bIxaNAgateuzSuvvIK7uzuhoaEUKFAg0Zhy5crF7du3M/R9iCM12QZrztvP6kH0IxbsPMOkTce5fOsBjSoU5H/+FTCVyGvp0Czj9mXY8hWEzQInV2Ovzp75EBMlmyDTQXL206wpZ8vpImbkms2RHn6l6FqzJItCz/DVn0doOzGYvnXdGdrcg9zP2EUsy22oLFgBesw3ZjbWDoelrxonkrT84tmSbMLOY/HJANzqlSlThqpVqwJQpUoVmjVrhlKKqlWrEh4eDkBwcDBLly4FoGnTpkRGRnLjxg0CAwNZtmwZAG3btiVfPuPfwYYNGwgLC8PX1xeAe/fuUahQITO/MmGPXJwc6V3Xna41S/LL9nCmbD5B+0lb8fcszDv+FexvkiVXQWj7DdR63ZhkCZsFOQtBmQbgN0DychYkOTtpMsi2AEcHRQ+/UrSqUoSxa48yc+spVu49x/C2lWlfrViaO0jCf01uHkbH4OzkwNyA2lljoA1QthEM2AJ75sHGT2FmC2NGu/loyFsy455HOkWmSXKzF5nJxcXl8dcODg6Pv3dwcCA6Ohog0VKruH83if370VrTu3dvvvzyy8wIWYgUZXd2pH/DcrxUqzQ/BZ/ix8CTtJ4QRJXieXineQWaVi5s6RDNq0B56D4XTgXB2g+N4/9uX4LWY6Gw53/XycRIqknOtj5Sk21B+XI682XHqiwfVI/CeVwZumAPL/24g2MXb6X5Xlm+yY2DI1R/Gd78Gxq+D0dWGSeRbBkLUfcz5jmk65jNaNiwIXPnzgVg8+bNFChQgDx58jzx8zVr1nDtmtFRtVmzZixZsoRLly4BRn1gRESEZYIXdi2XixNDmnnw/Us+ODjAgX9v0m9OKJ+vOpTqzsE2pUwD6L8F2o6Diwdgan1Y8wHcu/7fxIhsiszy7DVnyyDbCniXzMuKN+rxaQcvDp67QevvgvhyzWHuPIhO9T3imiU4KrJ2kxuXXMaO88G7oII/bPocJvsZg+5n3T+QWNcxkSWNGjWK0NBQTCYTw4YNY86cOQCMHDmSwMBAqlevzrp16yhVqhQAnp6efPbZZ/j7+2MymWjRogXnz59P9jnef/99SpQowd27dylRogSjRo3K7Jcl7MjBczefSGk/Bp3ihcnB7D59zXJBWYqDI/i+akyy1OgDO6fD9zVg20SIfiATIzbAXnO2bHy0MpG3HzBmzREWh52l6HOujGjnSWuvIqkqIclyNdmpcXKzMatx+Qh4+BtLifnLpP9+8ZceQZYhE5DGBuYlGx8NWT1vp0dciV9UdAxOjoo3mngwd0cEF28+oLtvSd5vVYn8OZ/uGmwXzu+F1e/Dme0YjeyVcUqJlPg9RXK2eaU1Z8sg20qFRVzl4xUHOXz+Jg08CjC6fRXKFrSeA9bN6lEU7JgGm780zsCu/w7UGwrZXNN/T6nPTpQkbPOSQbbBVvJ2WiWcGLn9IJqJG47xU/Apcrk68X7LSnTzLWlfbdrjaA37FsHaYXD3KlRqCzVfhfN7ZGIkHsnZ5iUdH21EjdL5+X1wPUY978me09dpOSGQr9ce4d7D5M+JtEmO2aDuYKOEpGJr2PwFTKkDx9en/55Sny2EsLCEXSRzuTjxUZvKrB7agIqFc/PR8v10/GEre89ct3CkFqAUVOsGQ/dB7Tfg6Bqjc+SGT2H281KfLbIEGWRbMSdHB/rUK8OGdxvxvKkYkzedoPm4Law9eMH+GtkA5CkGXWbDy8sBBb92giWvwq2Lab+X1GcLIaxUhcK5WdC/Nt919+bcjft0+GErw5fv5+b9KEuHZn4uuaHVF+AbEPsDDY/uw6HfLBqWEKkhg+wsoFBuV8Z182Zh/9rkcnFiwC9h9Ju9i4jIO+m6X1jENSZvOk5YRBbdYFOuKQwKgcYfwuGVMNkXQmdBTEzq7xG/FXvCUpEzOyHoW5kpEUJYjFKKF7yLs/F/jehbtwzzd56mxbgtrDt4wdKhWUbVLuDoilGjjbE5Mni8UU4ohJWSmuwsJupRDHO2hTP+r3+IitEMbFSOgY3L4ZrNMVWPz9LnaSfmyjH4422j3KNkbXj+OyhUKf33s/NabanvMy+pyTbYet7OCHvPXOeDpfs4cuEWbasWZVT7KhTM7ZLyA21J3Mb1gpVh7zw4/DsU9jLyvo6xy43skrPNS2qybVw2RwcCGpRl47uNaVWlCN9tOEaL8VvYcDh1JRNZ/jzthAp4QO/focMUuHLUOGN105fGsU/pIbXaQggrExZxjeDjVxjdvgrv+lfgr0MXaT5uC4tCz9hX6WBJP2jwP6jUBrr9Ct3nGZsiZzSHn1rBhs/kPG1hVSwyyFZK5VdK/aWUOhb7+ampVKWUt1IqRCl1UCm1TynVzRKxWqvCeVyZ2MOHeQG1cHFy5NU5oQTMCeXc9XvJPs5mztOOTynwfgne2AVVOsCWMTCtIZxNx8yY1GpbpfDwcLy8vCwdxlMaN25MYjOwPXv2pGLFinh5edGvXz+iomRJW6RP3Orjt+uO0nvWTuqUK8DqoQ2oUDgX7y/Zx8szd3I68q6lw7SMSm3hjR1QwteYGCHGmGCRyRGLk5xtsNRM9jBgg9baA9gQ+31Cd4FXtNZVgFbABKVUXjPGmCXULV+A1UMa8GHrSmw9fgX/8YHM23E6ydmNGqXzMTegNu/4V8z6pSIJ5SoInWbAS4vhwS2jPfva4fAwDX+AkqvVFjYlrt1vZujZsydHjhxh//793Lt3jxkzZmTac5mLTI5YRmKrj+UL5WJh/zp82sGLPWeu4z9hCz8GniT6URr2pdgK1zzQ8nNwjCudiYGIEGOGW9iUrJizLTXIfgGYE/v1HKBDwgu01v9orY/Ffn0OuAQUNFuEWYizkwMDGpVj7VsNqVr8OT5avp9eM3dw5mrig8uEx0bZnAr+MGi70TksZBJMqQun0jCzEbckmXCALRsiE5fB78u4cePw8vLCy8uLCRMmPP55dHQ0vXv3xmQy0blzZ+7eNf77HjZsGJ6enphMJt59910ALl++TKdOnfD19cXX15etW7cCRtex/v374+/vzyuvvEKtWrU4ePDg4+do3LgxYWFh3Llzh379+uHr64uPjw+//WacZHDv3j26d++OyWSiW7du3LuX+MpRmzZtUEqhlMLPz4+zZ89myHtjYTI5YgFJrT46OCherl2av95pSP3yBfh89WE6TtnGoXM3LRyxBZT0gz5/QJOPwLsnnNwEk2vJCSRJkZz9lEzL2Vprs38A1xN8fy2F6/2Aw4BDEr/vD4QCoaVKldL27NGjGP1LSLj2HLFGVx6xRs/Zdko/ehRj6bAs52Sg1hOqaT0yj9Yrh2h973r67nN6h9afFtZ6VD7j8+kdGRunlTh06FDaHpDB70toaKj28vLSt2/f1rdu3dKenp7677//1qdOnfLMQnUAACAASURBVNKADg4O1lpr3bdvX/3111/ryMhIXaFCBR0TY/w3fu3aNa211j169NBBQUFaa60jIiJ0pUqVtNZajxw5UlevXl3fvXtXa631uHHj9CeffKK11vrcuXPaw8NDa631hx9+qH/55ZfH9/Tw8NC3b9/W3377re7bt6/WWuu9e/dqR0dHvWvXriRfz8OHD7WPj48ODAxM9PeJvd9AqLZAXk7pAzgKFI39uihwNBWP2Qt4pHRdjRo1knwPhdah4Vf1pI3HdGj41UR/HxMTo3/f+6+u8ek6Xe7DVfrrP4/o+1HRZo7Sipzbq/WU+kbeX9BL61uXLB1RppGcbd05O9NmspVS65VSBxL5eCGN9ykK/AL01VonuhamtZ6uta6pta5ZsKB9T3Y7OCh61S7NuncaUaN0Pj757SA9ftxO+JX0HfeX5ZVpAAO3QZ3B8PfPMLk2/LMu7feRDZGJy+D3JTg4mBdffJGcOXOSK1cuOnbsSFCQcc+SJUtSr149AHr16kVwcDB58uTB1dWVgIAAli1bRo4cOQBYv349gwcPxtvbm/bt23Pz5k1u3boFQPv27cmePTsAXbt2ZfHixQAsWrSILl26ALBu3TrGjBmDt7c3jRs35v79+5w+fZrAwEB69eoFgMlkwmQyJft6Bg0aRMOGDWnQwCZq+wtrrc8DxH4ulNzFSik/wBk4YYbYbFpKq49KKdqZivHX241o712MSZuO88KkrRz494aZI7USRU3w2kao2Q+OrIJJNeDgCktHZR0kZyf7ejI6ZztlyF0SobVuntTvlFIXlVJFtdbnYwfRl5K4Lg+wCvhYa709k0K1ScXzZufnfn4sDj3Lp6sO0eq7QN5rWYk+dd3tr0Wvcw6jZq/Ki/DbYJjXxVhSbPkFZE/lSnbchsi4o/1kQ6Qhg98XncxJCUqpp753cnJi586dbNiwgQULFjBp0iQ2btxITEwMISEhjxNzfDlz5nz8dfHixXFzc2Pfvn0sXLiQadOmPY5j6dKlVKxYMcU4kjJ69GguX778+J5ZgVJqPVAkkV8NT+N94iZHeic1OaKU6o+xCkmpUqXSGKlITL6czozr6k3bqkUZtmw/HSZvZXDT8rzRpDzZHO3sMLFzu2HPfKM9+/2bsLg3HO4Ebb6BHPktHZ3lSM5OUmbkbEv9q1sJ9I79ujfwVOGUUsoZWA78rLVebMbYbIZSiq6+Jfnr7UbULVeAT/84RNdpIZy4fDvV98jyjWviK1ETBmwx6q33LoAf0jCrLRsiE5fB70vDhg1ZsWIFd+/e5c6dOyxfvvzxjMLp06cJCQkBYP78+dSvX5/bt29z48YN2rRpw4QJE9izZw8A/v7+TJo06fF9436emO7duzN27Fhu3LhB1apVAWjZsiXff//94z8gu3fvfhzf3LlzAThw4AD79u1L9J4zZsxg7dq1zJ8/HweHrDO40Vo311p7JfLxG3AxdvBMRkyOyApk5mlWuTB/vd2QdqaiTFh/jA6Tt3Lkgp3VasfN2BIDKCjbGA6tNGq1j6y2bGyWJDk70XtmVs62VPYfA7RQSh0DWsR+j1KqplIqbktnV6Ah0EcptSf2w9sy4WZtRZ5zZWbvmozrWo3jl27T5rsgpgee4FFM8uerxj86queM7bYx0HZygWafwGsbwDWvMau98k1jpiMlSW2ItHcZ+L5Ur16dPn364OfnR61atQgICMDHxweAypUrM2fOHEwmE1evXmXgwIHcunWLdu3aYTKZaNSoEePHjwdg4sSJhIaGYjKZ8PT0ZOrUqUk+Z+fOnVmwYAFdu3Z9/LMRI0YQFRWFyWTCy8uLESNGADBw4EBu376NyWRi7Nix+Pkl/ppff/11Ll68SJ06dfD29ub//u//nvm9sQIyOZKF5M3hzITuPkztVYMLN+7z/PfBTN503H5OIIl/HKuTCzQZDv03Qa5CsKAHLH8d7l23dJSWITn7KZmVs6Xjo525dPM+w1cc4K9DF/Fzz883XapRyi1HotdO3nScb9cdJUaDo4J3/CvyRpPyZo44E0U/gM1fwtbvIE9xeGEylG1k6agsSrqHmVdW6violHIDFgGlgNNAF631VaVUTeB1rXWAUqoXMAs4GO+hfbTWSU9LIXk7I4VFXGP7yUhql3V7XMMdefsBn/x2kFX7z1OtZF6+7WKifKHcFo7UDOI6RMbvAhn9EAK/Nk7XyFUY2n8PHklWt1o9ydnmJR0fRbIK5XFl+ss1+LZLNQ6fv0mr75I+V9smG9fE5+QCzUdBv7XGjMfP7WH1e/DQTjeJCpEMrXWk1rqZ1toj9vPV2J+Haq0DYr/+VWudTWvtHe8j2QG2yDhJrT665XJhcs/qfN/Dh4jIO7SZGJyq1cwsL7EZWydno1QiYL1xxvbcTqlfzRQijWSQbYeUUnSqUYI/326IT6m8fLR8P31n7+LizftPXGfTjWviK+kHrwdDrYGwc7rRmv30jme7p5ypLYQws8Qa18T3fLVirHu7IY0qFOSL1UfoOi2EiEg7nVQoXh36b4F6b8HuX41+Cic3WzoqYWNkkG3HiufNzi/9ajHqeU+2n4zEf3wgv+8998Q1Nt+4Jo5zDmg9Bnr/ATHR8FNL+GukUVKSVmd2wpz2sPFz47MMtIUQZpCa1cdCuY3VzPHdqvHPxVu0/i6I+TuT7hJs07K5QovRxmqmkwv8/AKsfj9tXYKFSIYMsu2cg4OiT70yrB7SgDIFcvLm/N0Mnvc31+48tHRolhF3rnb1l2HrBPixKVw8mPLj4pMztYUQFpDa1UelFC/6lGDtWw3xLpmXD5ftJ2BOKJdvpWNSwRaU9IN246GEH+ycBtMbwb9/WzoqYQNkkC0AKFswF0ter8N7LSuy9uAF/CcEsulIoid02T6X3MZmmB4L4PZFmN7Y2BwZ8yh1j4+/q13O1BZCmFFaVh+L5c3Or6/W4pN2ngQdv0LLCYGsPXjBDFFamTM7YW5X+DcMHJzh3jWY2QI2fwWPoi0dncjCZJAtHnNydOCNJuVZ8UY98udwpu/sXXy4bB+3H9hpkqnYGgZthwot4a9PYHY7uBae8uOSOodU6rSFEFbGwUHRr34ZVr1Zn6LPuTLglzDeX7KXW/ejLB2a+cRffdSPoEYfo3nZ5i+M0sFIaVoq0kcG2eIpVYo9x8o36/F6o3Is2HWGNt8FpXhGtk01rYkvZwHo+gt0mAoXD8CU+rBnntFFLDkJd7VLnbZFuLu7c+XKlTRfc/fuXdq2bUulSpWoUqUKw4YNy8wwhbA4j8K5WT6oHm80KceSsLO0/i6InaeuWjos80i4+ujhD51mQOdZEHnc2AwfNjvlvC+ema3lbBlki0S5ODkyrHUlFg2oQ4zWdJm6jXF//UNUIo0MbLJpTXxKgXcPGLgVippgxUCjRe/dNPwBkjrtLOfdd9/lyJEj7N69m61bt7JmzRpLhyREpnJ2cuC9lkbed1CKbtNDGLPmCA+iU1kql1Ultfr4XAljVrtgJfh9KCx4CW5ftmioImnWmLNlkC2S5euen9VDG9DBpzgTNxyjy9QQwq88eeRTSsdG2Yy8paD379B8tNGWd0pdOLExdY+VOu1UCQ8Pp1KlSgQEBODl5UXPnj1Zv3499erVw8PDg507jRWAq1ev0qFDB0wmE7Vr137cKjcyMhJ/f398fHwYMGDAEycm/Prrr/j5+eHt7c2AAQN49CjpgUOOHDlo0qQJAM7OzlSvXp2zZ89m4isXwrySW32sGZv3u/uWZOqWE7w4eRvHL92yQJRmlNTq47bv4eIh44jX4xtgSh34Z61lY7UikrOT52TpAIT1y+OajXFdvWlaqRDDlx+gzcQgPmnnSTffkiilHh8bFRUdY5tNa+JzcIT6b0HZxrDsNfjlRag9CJqNNI6DSkrcTEnC7mPWbM0wuLA/Y+9ZpKpxVGIyjh8/zuLFi5k+fTq+vr7MmzeP4OBgVq5cyRdffMGKFSsYOXIkPj4+rFixgo0bN/LKK6+wZ88eRo8eTf369fnkk09YtWoV06dPB4wuXQsXLmTr1q1ky5aNQYMGMXfuXF555ZUUQ75+/Tq///47Q4cOzZC3QAhLi1t9fBgdg7OTQ6InkeRyceLLjiaaVirMB0v30XZiMB+3rUyv2qVRSlkocjOKv/oYA+QqCP03w7L+MK8r+AZAi0+N41+theRswLpytgyyRaq1MxWjRul8vLt4L8OW7WfDkUuM6Vj18bFRCVv52rRi3kYjg/UjYfsPcHILdPoRCldJ+jEl/Z4eXCfW9tfOlSlThqpVqwJQpUoVmjVrhlKKqlWrEh4eDkBwcDBLly4FoGnTpkRGRnLjxg0CAwNZtmwZAG3btiVfPuO/xQ0bNhAWFoavry8A9+7do1ChQinGEh0dTY8ePRgyZAhly5bN6JcqhEUktvqYVN5u4VmYaiUb8N7ifYz47SCbjl7mq04mCuZ2MXPUZha3+vjo4X+rj4U94bUNsPFTY4b7VJBRu13UZOloLUpydtJkkC3SpOhzRgObn7aeYuyfR2k5IYivu5hoUrGQfQyu43POAW2+NjbJrBhkHPXXfJSxrOiQikqsuOXIuCQevxbQGqQwe5FZXFz+++Pt4ODw+HsHBweio42TbhJrnBE3u5bYLJvWmt69e/Pll1+mKZb+/fvj4eHBW2+9labHCWHN0rr6WCi3K7P7+jJnWzhfrDlCqwmBfN3FmOW2WUmtPjq5gP9nUK4ZLH8dZjQzVjJrD0pd3s9MkrOtLmdLTbZIMwcHRUCDsvw2uB5uOZ3pO2sXI387wP0oG98ckxSPFjAoBMq3gLUfwS8d4Oa5lB8nmyHTrWHDhsydOxeAzZs3U6BAAfLkyfPEz9esWcO1a0a9abNmzViyZAmXLhlnv1+9epWIiIhkn+Pjjz/mxo0bTJgwIRNfiRDml9qmNfEpZTQu++PN+hTM7UK/2aGMWGHjeT9hnXZ85ZoYed/DH9YNh19fhJvnzR9jFmGvOVsG2SLdKhfNw2+D6/Fq/TLMCYmg3ffBHDx3w9JhWUbOAtB9Ljz/HZzdBT/UgYMrkn+MbIZMt1GjRhEaGorJZGLYsGHMmTMHgJEjRxIYGEj16tVZt24dpUqVAsDT05PPPvsMf39/TCYTLVq04Pz5pP8gnj17ls8//5xDhw5RvXp1vL29mTFjhllemxDmkJamNfFVKJyb3wbXI6B+GX7ZHsHz3wdz+PzNTIrSCsXvd5AjP3T71cj7Z3YamyIP/2HpCK2SveZsldgUflZWs2ZNHRoaaukw7E7Qscv8b9Fert+N4v1WFelXrwwODnawOSYxkSeMTZH/hoF3L2j9FbjkSvxaK6vJPnz4MJUrV7Z0GHYjsfdbKRWmta5poZAsQvJ21hQ/73/QuhJ967rbdt5PrsTvyjFY+iqc32sc+9fyC3DOmekhSc42r7TmbJnJFhmigUdB/nyrIQ0rFOSzVYfpM3sXl27df+Iam21Yk5BbOei3Fhq+B3vmwrQGcDYs8WuTW44UQggrFj/vf/rHoUTzvk1JrsSvgAe8uh7qDYWwOTCtIZzbbblYhVWQQbbIMPlzOvPjKzX4rIMXO09F0npCEBuPXATsoGFNQo7ZoOnH0GcVPIqCn/wh8BuIseH6RSGE3Uku79uclEr8nJyhxf/BK7/Bw7swozkET4CYp5u4Cfsgg2yRoZRS9Kpdmj/erE+hPK70mx3KJ78dIOjYZftoWJOQez14PRgqtzeOfZrTHm5Y/oB8IYRIjdSsQMbP+3GbIketPGh7myKT6gyZUNlGRofgiq2NY15/fRFuXTBvrMIqyCBbZIryhXKz4o26vFq/DD+HRLA07CxOjgpHhe03rEkoe17o/BN0mGIsH06pB4dWpu0e8TfbZDJb26dhreR9FtYurSuQRt6vR5+67szeFk6HyVttr1Nkakv8cuSHrr8YmyJP7zA6BB/NnDbfkkvMIz3vswyyRaZxcXJkRDtP5vTz415UDFpDo4qF+PXVWvZ3prZS4P0SvB4E+cvAopfh96Hw8E7Kj43bbLPxc+NzJg60XV1diYyMlKSdybTWREZG4uqaTJdQISwssaY1KXHN5sio9lX4qU9NLt16QLvvg5m347R95hSljE2QAwIhTzGY3x1WvwdRGVe3LjnbPNKbs6UZjch0jSoU5M+3GvD+kn1sPGKcefl155y45frvAPuwiGv20THSrRz0WwebPoet30HENug0M/mOYYlttsmkjZIlSpTg7NmzXL58OVPuL/7j6upKiRIlLB2GEElKa9Oa+JpWKsyfQxvwv8V7+Wj5fgL/ucyYTlXJm8M5EyO2UgUrQMAGWD/K6BAcvtVY3SxU6ZlvLTnbfNKTs+UIP2E2Wmt+Dong89WHeS57NsZ39aa+R4HHS5IPo2NwdnJIdXOELO/kZlg2AO5dNTbL1HrdmPlIKLljo6zsCEDx7OQIP2FNnnUCJCZG82PQSb5ee5RCuV2Y0N0HvzL5MyFSK5NUbj72l9Ep8uEdaPWlMdOdWN4XWUZyOVsG2cLsDp+/yZvzd3Pi8m36NyxLTmcnJqz/hxgNjgre8a/IG03KWzpM87gTCb+9Af+sAY+W0OEHo7FNQoklbGtvyy7SRQbZwhbtPXOdIQt2c+bqXYY082Bwk/I4OdpoxWpKufnWRVg+AE5uAs8XjLrt7HYwsWSj5JxsYVUqF83D74Pr0923FNO2nGTl3nP2uykypxv0mA+tvzZmtqfUMz4nlNhmG2nLLoSwkLT2PahWMi+rhjSgg3dxJqw/xks/7uDc9XuZHKWFpJSbcxeGXsug+Wg4sgqmNjA2RwqbI4NsYRHZnR35smNVpvaqzuVbD3BQipZeReynVCQ+paBWf3htA7jmgZ87GLV7j6KSf5y0ZRdCWEB6+x7kcnFiXDdvxnerxsFzN2j9XRB/HrDBo+2Sy81xJ0X9Gwr13zL26Dg4wqzWEPi19FKwMbLxUVhUK6+imErk5a0Fe1i9/wKuTo5ULJKbXC5O9rMZMk6RqtB/M/z5IQSPh1OBxqbI/GUSvz7uzFapyRZCmFFip46kJUe/6FMCn5L5GLJgN6//GsbLtUszvG1lXLM5ZmLUZpRUbk6qjGRAEPzxNmz8DE5ugY7TjdNIRJZnkZlspVR+pdRfSqljsZ+T/NeplMqjlPpXKTXJnDEK8ymWNzvzXqvFW809WLHnX9pNDGJR6Bn76hAZxzkntJ8IXWbDlePGMuL+JUlfL23ZhRBmFnfqyLOU+LkXyMmS1+vyWoMy/LI9wvbO1E5LiZ9rHug0w+il8O/fmXqmtjAvS5WLDAM2aK09gA2x3yflU2CLWaISFuPk6MBbzSuwoH8dHkTHMGzpPh5E2WGHyDhVXoSBwVDYE5a+CisGwYPblo5KCCGoUTofcwNq845/xWcq8XN2cmB4W09m9fXl8q0HPP/9VhbusuEztZMrI4nrpTAgEJ4raZypvWYYRD+wXLzimVlqkP0CMCf26zlAh8QuUkrVAAoD68wUl7AwvzL5WTO0Ab7u+YlLs06Oyr42Q8bJWwr6rIaG78GeeTCtIZzfm/b7mLFbpBDCPtQonY83mpTPkFK+JhULsWZoA6qXzssHS/fz5vzd3Lyfwp6UrCg1bdkLlIeA9VBrIOyYAjOaQ+QJ88cqMoSlBtmFtdbnAWI/F0p4gVLKAfgWeC+lmyml+iulQpVSoXIge9aXN4czC/rX5rUGZXF0UGR3duJ+lJ1uBnF0gqYfQ+/fIequkXC3T4XUzvSYsVuksG1S5idSktYTR+IrlMeVn/vV4r2WFVlz4AJtJwax58z1TIjSwlJT4ufkAq3HQPf5cOOMMcGyd6H5YhQZJtMG2Uqp9UqpA4l8vJDKWwwCVmutz6R0odZ6uta6pta6ZsGCBZ8tcGEVlFIMb1uZVUPqUyCXC71m7mDsn0eIehRj6dAso0wDeH0rlGsKf34A83sYZ2ynRI75ExlHyvxEktJ74kh8jg6KN5qUZ9GA2sTEQOcp25i25QQxMTZaPpKSSm2MvF/EBMv7G01spGwwS8m0QbbWurnW2iuRj9+Ai0qpogCxny8lcos6wGClVDjwDfCKUmpMZsUrrFOlInlYObge3WqW5IfNJ+g6LYQ1+8+ne7YkS8vpBj0WQKuv4MQGmFofwoOTf4wc8ycyjpT5iSQlduJIetUonZ/VQxrQwrMwX645Qt/Zu7hy245qk+OX+D1X3FjJbDQM9i6A6Y3g/D5LRyhSySIdH5VSXwORWusxSqlhQH6t9fvJXN8HqKm1HpzSvaVzmO36fe85Pli6j7sPH6EAl2x21II9ofN7YXFfuHYKGr4Pjd43zlpNTEqt16U1u1Wx1o6PSqnrWuu88b6/prXOl+AaB2Aj8DLQjGTytlKqP9AfoFSpUjUiIiIyLXaR+eJmsqOiY8jmlDG5WWvN3B2n+b8/DvFc9mx8182buuUT6YhrS5LrFnkqCJa9Bncjwf8z8OsvLdmtgDV2fBwDtFBKHQNaxH6PUqqmUmqGhWISVu75asXoWasUABp4EBVD0DE7rcEvWs3YhW7qBlvGwJzn4ca/iV+bXA2g1GyLeKTMT6RXRp04Ep9Sil61S/PbG/XI4+pEz5k7+HbdUaJtuWwwuRK/uLLBsk1gzfuwoCfcvWq5WEWKLDLI1lpHaq2baa09Yj9fjf15qNY6IJHrZ6dmFlvYvlZeRXFxUiiMgfayv//l2EUbOls1LVxywYtT4cVpcG6PUT5y9M+03UNqtkU8UuYnnkVSJ448y4ZIgMpF8/D7m/XpVL0E3288btst2VMq8cvpBi8thJZfwLF1sS3Zt1smVpEii5SLZCYpF7F9cZ0gXZwcmLL5BHceRvN/7b3oUrMEyl6Xzq4chyV94MJ+qD0Imo8ydqinJLGlSZDyEQuy4nIRKfMTaRZXRvIwOgbnDCgjWb77LB8vP0A2Jwe+7lyNFp6FMzBaK5HaEr5//4YlfeH6GWjyEdR/BxwsVaBgv5LL2TLIFlnapZv3eXvRHrYej6RSkdwMb1uZBh52uvQc/QD++gR2TDXKSTrPArdyKT8ufkKHpOsBhVlY8SDbDVgElAJOA1201leVUjWB1xOuQsogWwBM3nScb9cdJUaDo4J3/CvyRpPyz3TPU1fuMHje3xw8d5O+9dwZ1roSLk420pI9NeLn7IKV4I+34MBSo4yk43TI9dSpyCITWWNNthAZolAeV4Y2q4CTg+LIhVu8MnMnC3elWA5qm5xcoPVX0H0eXIswzlbdtzjlx8Wv2ZbyEZEEKfMT6ZERLdgTKlMgJ8sG1aVPXXdmbQ2n85QQIiLvZEC0WUDCfTSXj0CnmfD8RDgdAlPqwYlNlo5SxJJBtsjydoVfJSZ2RUYDHy7bx8zgU7bbmjclldrCwK1QpCosC4AVb8DDVP4BkiP/hBAZKDM2RAK4ODkyqn0Vpr1cg4jIO7SdGMzKvecy5N5WLbGJkLO74O4VY6CdIz/88iJs+BQeRVs6WrvnZOkAhHhWcTMlUdExODkqTCXy8ukfh9h2/ArfdKlGvpzOlg7R/J4rAb3/ME4eCfwGzu40ykeKeCX/uLi2v0nVA8pxf0KINKpROl+mHbXaskoRqhTLw5D5uxkyfzchJ67wSbsqZHe20fKRuImQuJK+7G5Plvi9tBD2L4KgbyBiqzHL/VxxS0dtt1KsyVZKuQLtgAZAMeAecABYpbU+mOkRppHU9tmnuM2Qtcu6Ub1UXmZvC+fL1Udwy+XMd9198CuT39IhWs7JLcbZqvdvQKsvoUbf9J2tmtz5rSLDPGtNdlbL2SB52x7Fz9kZMQCPehTDuL/+YcrmE1QonIvJL1XHo3DuDIjUCsWf7AgPMkpH9CNjBbLpcKP8b98i+ONtI1d3mAIVW1k6apuV7ppspdQoYCvGsUw7gGkYG1+igTFKqb+UUqaMDVeItIt/dJRSir71yrBsUF1cnBzoPj2E7zcc45G9tuYt2wheD4bSdY2ku6SvMeBOK6nXtnqSs0VWkBEt2BPK5ujAB60qMaefH5G3H9J+0lYWh9ro/pz4+2iSKvEzdYX+W4xZ7PndYO1wiH5o2bjtUErlIru01qOS+N04pVQhjJ3mQlgdr+LP8ceQBgxfvp9v//qHkJORTOjmTaE8rpYOzfxyFYKeS2Hbd0at3rnd0PknKF4j9fdIuEwp9drWSHK2sHqJtWDPqHKSRhUKsnpoA95asIf3luwj5EQkn3bwIqeLjVbHJlfiV6A8vLoe/hoBIZMgYht0mQX53C0Wrr2RI/yEzdNaszjsLCN/O0gOZ0fGdfOmUQU7PeYP4PQOWPoq3LpgnKdd543Ul49ITXams9Yj/DKT5G37khkt2BN6FKOZtPE43234B/cCOZnUozqexfJk6HNkCXE5WwNbvzN+1n4iVOlg0bBsyTOfkx17DupwoDTG7LcCtNba6pYdJVmLpBy/dIs35u7m6MVbDGxcjndaVCCbo50esHP3Kqx8E478AR4tjZq9nOk8WksG3hkqIwbZWSlng+Rte5TRNdlJCTkRydAFu7l+L4pP2nnSs1Yp+2lalnAfTcdpxkD73zDwDQD/zyGbHa7sZrDkcnZq10/mAu8B+4GYjApMCHO6cS+a1lWLUMotB1M2n2DnqatM7OFD8bzZLR2a+eXID91+hZ3TYd3HRkv2zjONuu20kM2Q1kpytrBqmXniSHx1yrmxemgD/rdoLx+vOEDIyUi+7FiVPK7ZMv25LS7hPprI49D3T9gw2igfObMDusxJXdMykS6pnca7rLVeqbU+pbWOiPvI1MiEyEBxy5MTNxwj6Nhl3m5egaMXbtHmuyDWHbxg6fAsQymoNQBe/cuYzZjdFgK/hphHqb9HUpshz+yEoG+Nz8ISJGcLEatALhdm9fHlg1aV+PPABdpNDGbf2euWDivzJbYp0skZWn4OPRbCjbNG07L9Sywdqc1K7SB7pFJqhlKqh1KqY9xHpkYmRAZKuNHG8c0I7AAAIABJREFUyVHxx5v1KZU/B/1/CWP07wd5EJ2GwaUtKeYNAwKhSkfY+Bn82hFuXUzdYxNL4gk7kslA2xIkZwsRj4ODYmDjcizsX5uoRzF0mrKNWVttvGlZ3KbIpsOfXmWs2Mo4daqwl7FHZ+Wb8PCu5WK1UaktF+kLVAKy8d/SowaWZUZQQmS0+A1r4lr7uhfIyZKBdRiz5giztoYTGn6N73v44F4gp6XDNT+X3NBphnHc3+r3jfKRjtOhXJPkH5fYzvagb5+e3ZYSEnOTnC1EImq652f1kAa8u3gvo38/xPaTkYztVI3nctho+UhJv8Tzb9xemuaj4Ng6CB4HZ0Ohy2woWNHMQdqu1G583K+1rmqGeJ6ZbKARSUluo826gxd4b8k+HsVoxnSqSjtTMQtFaQUuHYbFfeDyUWj4LjQaBo5pOP5K6rSfSQZtfMwyORskb4vEZebmSK01M4NPMWbNEQrncWXSSz74lMr8GnGrkFiOfnALlvWHqLvQ9lvwfsnSUWYZ6W5GE892pZRnBsYkhNnFb1iTkH+VIqwaUp8KhXMxeN5uPlq+n/tRdlo+UqgyvLYJfHoaNdpznocb/6b+8YktUUqNtrlJzhZZWmY0rIlPKUVAg7Isfr0OAF2mhvBj4EnbLh+Jk9heGpfcUP1lKOABKwbC8oHw8I6lI83yUjvIrg/sUUodVUrtU0rtV0rty8zAhDC3EvlysHBAHV5vVI55O07TYfJWjl+6bemwLMM5B7wwGV6cDuf3GuUj/6xN/ePjdySTGm1LkJwtsrTEGtZkBp9S+Vg9pAHNKhfi89WHCZgTyrU7Nt4ZMeFemuxuRm7eOhEuHQWfl2HvfJjeBC4esnS0WVpqB9mtAA/AH3geaBf7WQibEBZxjcmbjrPv7A2Gta7E7L6+XLr1gPaTglkadtbS4VlOtW7Gpsg8/9/efcdXVWX9H/+shJDQa0AEQgd1LAkEQQgqKjyKOqijVAvOKBZAHHV+w4yjzxQd22MBxFHEOiN2OtgHFFQ6Kl0pgggqRSnSAtm/P06uXuK9IeWeW3K/79crL3JPTu7ZnLks9+yz9lqNYXwfr9xfaVvzqh17LChmS0IL7KNJNX7aR+OXWlXTePzyDvz1whOY/cU2zh81m0Ubdvh2vZgr+rRx3/afY3RBPtRtAVdOhn3fw5PdYfHzkAwr/D4oNifbzKo754pdyivJOdGk3D4prcBjyYOHCqgc1H3sm537uemlJcxfv4NLOzTh771/RdXKFbQ179Hk74e3b4cF46BxrteSvU6zkv2ucrRLpTw52YkYs0FxW0KLVsOaYEs37WTI+MV8/cM+/vA/7RjcrSUpKRW8eU24GL37W5hwLax/H07qAxc8DOnVYz3auFPmjo9m9h7wCTAZWOSc+7HweEugO9AHeNI5FzdFFhWspbTGzFzDg2+vpsBBqsEtPdsxpHtrwGvNO/K9Lxj93y9oWb8aYwa257hjkrA1b8DyiTDlJq/Gdu8xcHwJF0eL6wqpjpFHKOckO+FiNihuS3zZtT+fP72+lOlLt3Bmu0we6pNN3WqVYz0sfxWNw4HXWV28P2fdA3Vbes1rjjkx1qONK+Vqq25mvYCBQFegDnAIWA1MB55yzsVVJw8FaymtwEp2oLxfYCU72EdrtjH85U/YtS+fv/36V/Tt2DR5WvMWtWM9vHY1bF4Cp14HPf8BldLL9l5a5f6F8lYXSbSYDYrbEn+cc/xn7gb+MW0ldatVZlT/HE5tUTfWw4qOUHH58EF47XdeCsl590GHQd5ii5SvuohzboZzbqBzrrlzrpZzrp5zrotz7u54DNYipdWhWR1euKYzt/RsF3KCDdCldX1m3NSNjs3rMmLCUoa/9Al7DhyKwWjjQN0W8Nu3oPONMP8JeKoHbF9btvdSvnbEKWZLsgjspYl05RHwqo9ccVpzJtzYhYy0FPo/OZcxM9dQUJAEucmh4nLzPK95TfOuMO1mr4HN/l2xHmncK+nGR5EKrbjyfoFAvnHHXp7/7anc1rMt0z7bzIWj57Ds650xGG0cqJQO594D/V6E7zfAE2fAsjL0OQnVMTJAZf9EJAy/S/wFnNi4FlOH5dHrpEY88NZqrnpmPtv2HPDlWnEjXFyungkDX4ez74Tlk2DsGV71KQlLk2yRYhQN5Eu++oGhZ7XhpcGnse/gYS7510f8++Mvk6O2aijH9YLrZ0OD47wUkmm/h/x9Jf/9cG1/VfZPRIoRrRJ/ADUy0hjVL5t/XnwS89bvoNfI2Xy81r/rxVxx7dhTUrxJd87l3kr2uB7ehvhk/W/gUWiSLVKM4EB+IL+A1xd75fxObVGX6Tfl0aVVPe6YvJwh4xeza39+jEcbI7Wz4Oo3oOtwWPg0jDsHtn1R8t8PrqkdoDQSESlGNEv8gZc+MqBTFpNu7Er19EoMHDeX0e99weGKmj4SKi7DzwsgS/4DB/ZAo5Nh+q3eIovSR36h2Em2mdUt7itagxSJlc4t61GpsHyTA15btOmnx5L1qqfz9FUdGXHecby1/FsuGDWHzzb9EMPRxlBqGvT4Owx4FXZt9tJHPnul7O9XXBqJhKWYLcmiJHtp/HDCsTWZMiyPC085lgff+Zyrnp7P1t0VPH0kWPACSEE+tD0XzvkrrJgCT5wOmz+J9QjjytFWshcBCwv/3Ap8DnxR+P2isl60MOC/Y2ZfFP4Z8l+HmWWZ2dtmttLMVphZ87JeU6QsOjSrw2W5TQnsoT58+MjHkikpxvVntOKV6zpz6HABv/nXRzw9Z33ypo+07eltjml0sldfdfJQOLi39O9T3OPKYMrbLsqXmC0Sj4rbS+On6umVeKRvNvdechILvtxBr1EVPH0kWNEFkBanQ97v4eoZ3uT7qR4w/0mljxQqdpLtnGvhnGsJvAVc6Jyr75yrh9c9rAy7nH4yAnjPOdcGeK/wdSjPAw84544HTgW+K8c1RcrkkvZNSE878rFk0V3tHZrVZfpN3TijbSZ/n7aC6/69iJ17kzR9pFZjuGqa96hxyX/gybPgu1Wlf59wjysDlLf9Cz7GbJGE4WfVkQAzo9+pWUwa0pUaGV76yKiKnD4SEG4BJKszXDjKSx+ccRu8ehXsT9LCAEGOWicbfqoB2KHIsYXlaJiwGjjTObfFzBoBs5xz7YqccwIw1jmXV5r3Vr1V8UNw5zEgZIdI8GqrPjVnPfe+sYqGNTMYPSCH9lnRXWWJK2vegwmDIX8v9Po/yBkYufee/aA3wXaHvVWVs273JuUJrrx1soPeI2Ix22+K2xIp4Tr4+unHA4e4feJSJn2ymbzW9Xm4bzaZNcrYOyBRBRY9Dh3wNke6Am/CfdmzcGxOrEfnq3LVyS60zcz+YmbNzayZmd0OlOfZSEPn3BaAwj8bhDinLfCDmU0wsyVm9oCZpYZ6MzMbbGYLzWzh1q1byzEskdCCH0sWt6vdzLimW0teu6ELAH0e/5hxs9clb/pI67O99JHGHWDyjTDxBjj4Y2TeW3nbxYl0zBZJCOE2q/upWnolHu6bzX2/+Tl95KO123y/blwJ5GpT4KWKtL8KDufDUz1h3tikTR8p6SS7P5AJTAQm4U2K+xf3C2b2rpktC/HVu4TXrAR0A24DOgItgUGhTnTOjXXO5TrncjMzM0v49iJlU5Jd7dlNazPjpm6cdVwD7pq+kmufX8gPew/GYLRxoGYjuHIynPFH+PRFGNsdvl1R/vctLm9budqljtkiFUFxm9X9ZGb07ZjF5KFdqZlRicvHzWPku0mQPhJQdNEje4C3wNKyO7zxB3jlyqRMHylRukjEL1qydJHOwL3OuTMLX18BdHbODSnuvfXYUaIhOH2kuEeRzjme/ehL/jljJZnV0xk9IIcOzZK4yMO6WfD6tXBgN/S6H3KuiHxr3gRv1R6JdBE/FFYneRloDnwJ9HHO/WL2YmZZwDigKd48p5dz7svi3ltxWyLp9olLGT9vIw5INbilZzuGdG8dtev/eOAQf5m0jIlLvqZr63o80jcnOdJHvppf2B2y288xt6AAPn4U3v0r1G7qpY8czv/leQms3OkiZpZZmK4xw8z+G/gqx5imAFcVfn8VMDnEOQuAOmYWWJo+C4jA8pdI+ZV0V7uZcXXXFrx+QxdSU40+T8zl8ffXJkdr3lBanumtbjQ9FaYMg4nXebVWI0k1tv2I2aAN65IgSrJZ3U/V0ivxUJ9TuP83J7Now/ecN3I2H61JgvSRUJvVU1Kg601eL4XDh7zmNc/0gvfuSooN6yVNF3kBWAW0AP6Gt4qxoBzXvRfoYWZfAD0KX2NmuWY2DsA5dxgvVeQ9M1sKGPBkOa4pEjMnN6nNtGHd6HlCQ+59YxW/fW4BO35M0vSRGg3hionQ/XZY+iqMPRO+WRa591euNkQ+ZgP0Bp4r/P454KKiJxRuWK/knHsHwDm3xzlXhhqOImVXtIY2EJUW7MHMjD4dmzJ5SB61qlRi4FPzeOTdz5MnfaSorE5ed+A6zb362hR4myQr+CJIqaqLmNlnzrmTC4+975w7w/cRlpIeO0o8CJdO4pzj33M3cNe0ldStVpnRA3Lo2DyJ00fWz4bXr4H9P8C590KHQZFJHwn12LK443EkktVFIhmzzewH51ztoNffO+fqFDnnIuAa4CDeBP9dYEThoknR9xsMDAbIysrqsGHDhrIOTaRYY2au4cG3V1PgYpc+csekZUxY8jVdWtXjkX7ZNKiREbXrx5WNc+HZ86HgEGDQ+1GvRXsCi0R1kUDB3y1mdr6Z5QBNIjI6kQomUEIq1KqJmXHlac2ZcGMX0tNS6Dd2LmNmrkne9JEW3bz0kazTYNrN3oT7wO7yv2+ox5bJVVe7TDFbG9alIop2C/aiqqVX4sE+p3D/pSezeOP39Bo5JznSR0LJ6uyljnS4GqrVh2m//7n6SAXcsF6phOfdZWa1gFuB0UBN4Pe+jUokgYUq8Vc0d/vExrWYNiyPP01YygNvrWbe+h083OcU6lVPgs0xRVXPhMsnwJyHYObdsHmJtzmm0cmRvU6oXO04Xc2OgDLFbOfcOeF+ZmbfmlmjoA3roXKtNwFLnHPrCn9nEtAZeKoMfweRiAikj5Rks7pfzIw+uU05pUltbnxhEQOfmsfws9sw7Kw2pKZEePN3vGt6qvd19p0w8Xqv+sjKKfDVAi+VJAE3rIdTopVs59w059xO59wy51x351wH59wUvwcnkohKumpSIyON0f1zuOuiE5m7bju9Rs1m3rokLWWckgKn3+Z1iszfC+POgQVPRba2arhc7Qq4euJTzNaGdUlYsWrBXlS7Y2owZWgeF2U35pF3v+CKp+bx3e79MR1TzFStC/1fgh7/gA1z4PD+CrdhvaQ52W2Bf+E1kTnRzE4Gfu2cu8vvAZaWcrIlHpS0xF/A8s07GTp+CRu2/8gtPdpy45mtSUm21Y2AH7d5XSLXvge/uthr1ZtRMzLvXTQnOw7L/UUoJzviMdvM6gGvAFnARuAy59wOM8sFrnfOXVN4Xg/gQbzN6ouAwc65Ynf5Km5LsnHO8erCTdwxeRk1q6Qxsl82XVrVj/WwYmfhM17qCA5S0mDQdG+zZAIoLmaXdJL9PvAH4AnnXE7hsWXOuRMjOtIIULCWRLXnwCH+PGEpUz7dTLc29XmoTxK25g0oKIAPH/byp2tnQZ/noNEpkb9OHLZmj9AkO2FiNihuS/Ja9c0uhrywmPXbfmT42W0Zelbr5EsfCfjiXXhzBGz/Ak7oDb8eDVtXJ/Rm9ZJufKzqnCv6LPVQ+YYlIsGqp1diZL9s7rnkJOavT9LWvAEpKd5kd9B0r8zTuHNg/pORb81bccv9KWaLlFI0a2kHHHdMTaYMzaN3dmMefvdzrnx6Hlt3H4ja9eNKm3NgyHzo8XdYOQ3GdIJnL0jozeolnWRvM7NWeN27MLNLgS2+jUokSRQN6mZG/1OzmDSkKzXSk7A1b1HNTitszXsmzLgNXr0qsq15i2vNDomcr62YLVIKxVWF8lugec19vzmJhV9+rwWWrsO9CiQHf4TDB7wnjQlaU7ukk+whwBPAcWb2NXAzcINvoxJJAsUF9eMb1WTKsDx+fcqxPPzu58m9OaZaPej/MpzzN29144nTvQokkRKq3B8kesk/xWyRUghVFSqazIy+HbOYPLQrNTK0wEJWJ7j0GbDCaaoZHNs+tmMqg5JWF1lXWNopEzjOOZfnnPvS15GJVHBHC+rV0yvxcN9s7vvNSSzakOS1VVNSIO/mn1vzPtXz59qqfglV8i9BVrYVs0VKJ9a1tAOOO6YmU4f+vMBy1dPzkzt95Oo3oPU5gPM2Rm7+JGHiMJR842M68BugOUG1tZ1zf/dtZGWkDTSSKAIr2fmHCkirlMIL13QOW4kksDlm3bYfGXZWG4afnYS1VQP27oBJN8Dnb8LxF8KvH4UqtY/+e6VVtPLIufd6m3J8rkQSoY2PCROzQXFb4kNpq0L5yTnHKwu/4s7Jy6lZJY1R/XI4rVVsJv5xYeNcePVq+HGr97rgMFRKj/uKUCWdZL8J7MQrx/RTe1zn3IORGmSkKFhLIilNUA9uzXtay3qM7JdNg5pJ2prXOfj4UXj3r1CzMVz2DDTuEPnrBJf8+3L2kZVIOlwJtZpGfNd7hCbZCROzQXFbJJyVW7wFli+3/8jvz2nLkO7JXN51OzzdE7avKTyQAmf/Ja4rQpV0kh23pZ+KUrCWisw5x6uLNnHn5GVUT6/EI31zyGuTxLVVv1oAr10Nu7+BnndBp+u83D1frhW0sp2SChgUHIr4qnaEJtkJE7NBcVukOEXLuz7cN5v6ydgdGLwV7WfP92IvBr0fg5wBMR1SJEr4fWRmJ0VwTCJSBoHWvFOG5lG7amWueHoeD729Onk3xzTtCNd94OXsvflHePly2PeDT9cKqkSSc7kX5OO3O5litogPYlHmL7i867z1O+g1cnbUN2bGjazOXp52h0FQtR5MGw4Lxh25PyeOcraLXck2s6V4JaAqAW2AdcABvE5ezjl3cjQGWRpaEZFksffgIe6YtJzXF2+iU4u6jOqfQ8NkTh+Z+xi8cyfUPBYufRaa+JA+EhCuU2QgvaRKPdi3vUypJOVZyU7EmA2K25IYAvtoDh4qoPJR9tH4ZcXmXQwd76WPqDvwdpg4GNa8C7+6BC4cCVtX/XIvTRljcUmVOV3EzJoV98bOuQ3lHFvEKVhLsnl14VfcMXkZ1SpX4pF+2XRrkxnrIcXOpoXe5pjdW7yGBp1v8Dd9JFSL9kMHgAKv9FRq6TfmlHOSnXAxGxS3JTGMmbmGB99eTYGDVINberZjSPfWUR/HngOH+NOEpUwtTB95pG829ZI1faSgAD58BP57F9Rp5j3VXPCU95SRFK8ylXMx26xebLqIc25DcV8RH6mIlNpluU2ZOjSPutUqc+XT83nw7dUcOlwQ62HFRpNcuP4DaNMT3vpTYfqIT491i9bXDpT8o/Deu4Kop5IoZov4J17K/FVPr8Softn88+LC9JFRs5mXrOkjKSnQ7RYYNA3y98GiQG3twAS7IKZpfSXNyRaRONamYQ0mD+3Kpe2bMPq/axg4bh7f7krS5jVV6kC/F+B/7oHP34LHT/dWuP0WaNEeCKuWUtFatYsktQ7N6vDCNZ25pWe7mKSKBDMzBnTKYuKNXahauRL9n5zLmJlrKEjW/TnNunjdgZufDgX50PB46Hm39zTRUn+OxVHO1y5RdZFEoseOUtEdrezfa4s2ccekZVStnMrDfbM5vW0yp48sglcHwe7NXsfI04b4lz4CMc/JTlSK2yJlt3t/Pn+asJRpn23hjLaZPNTnlOROH5nzEMy8G+q0gNP/4MX/wGJHqL005RSJ6iIiEgeKa8UecGmHJkwZ2pV61Stz1TPz+b+3kjl9pENh+sj/wNu3w0sDvGY2fgmkkOQOCt2qXUQkwmpkpDG6fw53XXQiH6/bzvmj5rDgSx/jXDxLSYHTb4OrpsHBH2HazV4VkiYdQ3fx9Xs4vl9BRCKmuFbswaWl2jSsweQheVzWoQmPzlzDAKWPeLvMv3gHnjjdq68tIlJBmBmXd27GhBu6kJ6WQr+xc/nXrLXJmz7SvKuXPtKsC0wdDhMGQ+NcbwU7VPrIwmd9SSNRuohIAgnXir240lITFm/i9olKHwG89JHXBsGuzXDOX+G0of6mj5SB0kVEpDx2789nxOtLmb50C93bZfJgn2zqVqsc62HFRkEBzHkQZv4T6rbyVrl3fX1k+oiPFaG0ki2SQMJtvCluhfuS9k2YOqwr9aunK32kSQe4bja0PRfe/gu82N/f9BERkSirkZHGowNy+EfvX/Hhmu2cP2o2C5M6feQPcOUUOLDLW9WuWv/I9BEfK0Jpki2SYDo0q8OQ7q2P2PR4tNJSrRvUYNKQrvTNbeqljzw5j292Jmv6SG3o+x849z6viYHSR0SkgjEzrjitORNu7EJaagp9x87l8feTOH2kRTcvfSSrM0y9CSZe93P6iI8VoZQuIlJBHK3qSMDEJV76SEaalz5yRjKnj3y9yGtes+vruEkfUbqISMVS0tjsl1378xnx+mfMWPoNZx3XgAcvO4U6SZs+chg++D+YdQ/UbwPdboNdm3yrCKVJtkgFFyrAr/luD0PHL2bVN7sZ0r0Vvz+nLZVSk/TB1r4fYMpQWDkV2p4HFz0GVevGbDiaZItUHPHQih3AOcfzH2/grukryKyezqMD29M+K3Z1vmNu3fvw+jVwYDf0egByLi/zAotyskWSVLiSf60bVGfijV3p17EpY2auVfpIn3/DefcHpY9Ep1GBiFRsJa0I5Tcz46ouzXn9hi6kphp9Hv+YJz9YR0VbaC2xlmd46SNNO3qLLJNu8Er+RVhMJtlmVtfM3jGzLwr/DPl/p8zsfjNbbmYrzWyUWZyVARCJc+EC/KIN3/P0h+u5LLcpj/TNZtnmnfQaNZtZq7+L8YhjxAw6XQe/e9vLy3vmPPhwlLczXUSkjMLtlylJzwM/nNykNtOGdePs4xtw94yVXPv8In7YezAq1447NRrCFZPgjBHw6UswtnvEN8LHaiV7BPCec64N8F7h6yOYWRegK3AycCLQETgjmoMUSXShAnzR4N60blWmDsujQY10Bj2zgPvfXJW81Ucat4frPoB258E7d8BLqj4iImVXlopQfqtVJY3HL+/AnRecwPuff8f5o+awZGN0JvlxJyUVuv8JrpjobY6sEtkUmlhNsnsDzxV+/xxwUYhzHJABVAbSgTTg26iMTqSCCBXgQwX3VpnVmTSkK/1Pbcpjs9bS/8m5bNm5L9bDj42f0kcegDXvwePdYOO8WI9KRBJUWSpC+c3M+G1eC169vgsAfZ74mKfmrE/e9JFW3eH8ByO+8T1Wk+yGzrktAIV/Nih6gnPuY2AmsKXw6y3n3MqojlKkAiga4MMF94y0VO655GRG9stm+eZdnD9qTpKnjwz20kdSUuHZXkofEZGICbfCHW3ZTWsz46ZunNmuAf+YtoLr/r2InXvzYzKWisi36iJm9i5wTIgf3Q4855yrHXTu9865Iz5hZtYaGAn0LTz0DvBH59wHIa41GBgMkJWV1WHDhg2R+UuIVFBHKym1dusehrzgVR+54cxW3Noj2auPDIOVU7wmNhf9y9fqI6ouIiLRLvvnnOOpOeu5941VHFMrgzED2nNK09pH/0WJvxJ+ZrYaONM5t8XMGgGznHPtipzzByDDOfePwtd3Avudc/cX994K1iLlEwjuOVm1mfrpFl6cv5GOzeswqn8OjWpVifXwYsM5WDAO3vozVGsAlz1T6lqqJaVJtkhyi2XZv8Ubv2fY+CV8t3s/f+51PIO6NEc1J4oXjyX8pgBXFX5/FTA5xDkbgTPMrJKZpeFtelS6iIiPgjdF/vbZBVzaoQkj+2WzYvMueo2czcxkTh859VovfSS1UmH1kZFKHxGRiIvlpsj2WXWYflMeZ7TN5G9TV3DDfxazc5/SR8oqVpPse4EeZvYF0KPwNWaWa2bjCs95DVgLLAU+BT51zk2NxWBFkkWo4N47uzFThuXRsGYGVz+zgPuSufrIsTle9ZHjzod37oQX+yVN9RGVXhWJjnBVoaJVU7t21co8eWUut/c6nndXfsuFo+ewdNNO369bEanjo4j8JLCSnX+ogLQijyn35x/mb1NX8OL8jeQ2q8PoAUof8dJHMuHSZyCrU0TeOl7TRczsfmCHc+5eMxsB1HHO/bHIOV2AB4DTCw/NAf7knJtV3HsrboscKTgnG4hZ+siiDd8zbPxitu05yF8uOJ4rOjdT+kgR8ZguIiJxqLgd7171kZMY2S+blVuUPuKlj7wDqWnJkj6i0qsiURJcFSqW6SMdmtVh+k3dyGtTnzsnL2fo+CXs2q/0kZLSJFtEjhCqpmuwoukj976xivykTR/J9tJHjr8gGdJHIlp61cwGm9lCM1u4detWH4ctkthiXVO7TrXKjLsylxHnHceby7/hwtFzWPa10kdKQpNsESm1H/bmc+6Jx9DzhIY8/v5a+o+dy+YfkrR5TUYtuOw56PV/sG4mPJ6XsM1rzOxdM1sW4qt3CX+/NXA80ARoDJxlZqeHOtc5N9Y5l+ucy83MzIzcX0KkgomHmtopKcb1Z7Ti5cGdOZBfwCWPfcS/525I3uY1JaRJtoiUSiBve9R7X/DBF1u5+Zw2rNyyi/NHzWbmqmRPH3n75/SROY94udsJxDl3jnPuxBBfk4FvC0uuUvhnqP+xLwbmOuf2OOf2AG8AnaP3NxCpmIp7whjNTZG5zesyY3g3TmtVjzsmLWPYi0vYrfSRsDTJFpFSKZofmJaawtRheRxTqwpXP5vs6SNB1Ud2rI14i94YU+lVkTgTXHZ14Li5UZlo161WmWcGdeT/nduON5Z9w68f/ZAVm3f5ft1EpEm2iJRKqPzAlpnVueOC4zmlSS2lj2TUgj7Pw/kPxXpavxwQAAATGElEQVQkkabSqyJxJlabIlNSjBvPbM2L13Zm78FDXPTYh4yft1HpI0WohJ+IlFrRlr/BHcpSU4zUFKNKWioP9cmm+3G/2B8nxYjXEn5+UtwWKZviyq5Gy7Y9B/j9y58w+4tt9M4+lrsvPonq6ZWiOoZYKi5mJ89dEJGI6dCszhGBPHg1xQocV57WnI/WbufqZxdw/RmtuLVnW9JS9eBMRCSSApsigxc9oq1+9XSeu/pUxsxcw8Pvfs7STTsZM7A9xzeqGfWxxBv9V09Eyq1oCkmvkxox8cYuDOiUpfQREREfHa3sajSkpBjDzm7DC9d0ZveBQ1w05kNemq/0EU2yRaTcQpWYykhL5Z8X/9y8Jqmrj4iIxFC0KpCc1qoeM27qRm7zOoyYsJRbXvmUHw8c8vWa8UzpIiISEUVTSAJ6ZzfmpMa1GDJ+idJHRESiLHjPTDTasmfWSOf533bi0f+u4ZH3PuezTT/w2MAOtDumhm/XjFf6r5yI+K5lZnWlj4iIxEAsKpCkphjDz2nDC7/rxM59h+g9Zg6vLvzK9+vGG02yRSQqlD4iIhJ9sWzL3qV1fWYMzyOnaR3+8Npn3PrKp+w9mDzpI5pki0hU9c5uzNRhedSqksbVzy7g5pc/Sd7mNSIiPgvXlj1aedoNamTwn2s6cdPZbZiwZBO9H/2QNd/t9vWa8UI52SISdd/vzWfLTi9dZNKSr1m5ZRfPDOrIsbWrxHhkIiIVT9E9M9HO005NMW7p0ZaOzetw80ufcOHoD7n74hO5pH0T364ZD7SSLSJRN3fddvIPe6WdDFi3dQ+9lD4iIhIVseoU2a1NJjOGd+OkJrW45ZVP+eNrn7E//3BUrh0LmmSLSNQF5wimp6XwUJ9sGtWqwtXPLuDeN1aRf7ggao8yRUSSTSzztBvWzGD8NZ0Y0r0VLy/8iovGfMjarXuidv1oUlt1EYmJoq3Z9+cf5u/TVjB+3kbaHVODL7ftIf+wi8qjzHiituoiEg1FY3AszFr9Hb9/+RMOHCrgnktOond245iMozzUVl1E4k7RHMFA9ZFOLepy26uf/pROEniUmSyTbBGRaAjX2yCazmzXgBnDuzFs/BKGv/QJc9ft4H8vPIGMtNSYjitSlC4iInGld3ZjHuqTjQUOGORqgi0iUiE1qlWFFwd35vozWvHi/I1c/NhHrN/2Y6yHFRGaZItI3LnwlGN54dpOnNKkFocL4IG3Vqt5jYhIDPm5TyYtNYUR5x3H04Ny2bJzHxeOnsO0zzZH/DrRpkm2iMSlLq3qM3lonprXiIjEWKDk34Nvr2bguLm+bUg/67iGTL+pG20bVmfo+CXcMWlZQlcf0SRbROJaoHlNw5oZR1Qfgeg1UxARSWbRLPnXuHYVXr7uNAaf3pJ/z93ApY9/xIbtiZk+okm2iMS9lpnVmTSkK/1PzeLx99fSf+xc3l7+TVRWVkREkl20S/6lpabw517HM+7KXL7asY8LRs3hjaVbfL2mHzTJFpGEkJGWyj2XnPRT+sjwlz7hQH70mymIiCSbcK3Zg/nxZPGcExoy/aY8Wjaozg0vLOavU5Zz4FDipI+ohJ+IJJTe2Y05sXEtfvvsAjZs34sBlVItqs0URESSTXEl//xs096kTlVeve407ntzFU/NWc/ijd8zZkB7mtatGpH391NMVrLN7DIzW25mBWYWtumCmZ1rZqvNbI2ZjYjmGEUkfrXKrM5bN59OjxMa4oAW9atzbO2Mn36uXG0RkejxO2e7cqUU7rjgBJ64ogPrt/1Ir1GzeXPZNxG9hh9ilS6yDLgE+CDcCWaWCowBzgNOAPqb2QnRGZ6IxLuMtFSevDKXkf2y+WrHXnqNnM3M1d9FbRe8iIh4opWz/T+/OoYZN3WjRf1qXP+fRfx96goOHirw5VqREJN0EefcSgAzK+60U4E1zrl1hee+BPQGVvg+QBFJGIH0kSEvLObqZxbQqUVdDuQX4FC3SBGRaAjkbEejTXvTulV59frTuGfGKp7+cD2LNn7Po/1z4jJ9JJ43PjYGvgp6vanwmIjIEVoFVR+Zt34HmBfciq6oKI1ERMQfHZrVYUj31lFZ1EivlMpff/0rHhvYnnXf7eH8UbN5Z8W3vl+3tHybZJvZu2a2LMRX75K+RYhjLsy1BpvZQjNbuHXr1rIPWkQSVnD1kfRKKaSnpXJrj3Y/BXylkYiIxFakFzp6ndSIaTflkVWvKtc+v5B/zlj5Ux+FeOBbuohz7pxyvsUmoGnQ6yZAyB6bzrmxwFiA3NzckBNxEUkOwekjd89YyY69B7m1R9uQG3OURiIiEh1+VSBpVq8ar13fhbunr2TsB+tY+OUOHh3QnmNrV4nAqMsnntNFFgBtzKyFmVUG+gFTYjwmEUkAwekj/5q1ln5j59KmQfWoNlMQEZGf+VmBJCMtlX9cdCKj++fw+bd76DVqNjNXfRex9y+rWJXwu9jMNgGnAdPN7K3C48ea2QwA59whYCjwFrASeMU5tzwW4xWRxFO0ec0fX/+MW3u0K7aZgoiI+CMaFUguPOVYpg7L49haVbj62QXc+8aqmKaPmHMVK7siNzfXLVy4MNbDEJE4snbrHoa8sJhV3+zm+jNacWvPtqSlxueDPDNb5JwL2z+gIlLcFkkOizZ8H7YCSXE/K639+Yf5+7QVjJ+3kY7N6zC6f3uOqZVx9F8sg+Jidnz+V0ZEJIJ+Th9pyuPvr6X/2Lls2bkv1sNKKGoiJiLlFa4CSaQ3pmekpfLPi70nmSs276LXqNm8/3n0C2Noki0iScFLHzmZR/pms2LLrp+a10iJqYmYiPjCr3zt3tmNmTIsjwY10rnq6fk88NYqDkUxfUSTbBFJKhflNGbqsDwa1szg6mcWcN+bRwbd4kpMJXOdbefcSufc6qOc9lMTMefcQSDQRExEJKxw+dqRiLmBJ5n9OjZlzMy1DBw3j2937Y/U0IsVk46PIiKxFAi6f5u6gn/NWsvCL3cwqn8Om3/YH7bElF/lpyqYUE3EOoU60cwGA4MBsrKy/B+ZiMStUB0jIxlzM9JSufc3J9OpZV3+PGEZvUbO5pF+2XRrkxnhv8mRtJItIkkpuPrIis27OH/UHF6ctzHsI0s/y0/Fi2g2EXPOjXXO5TrncjMz/f0PnYjEv6L52n7E3ItzmjB1WFfqVa/MlU/P56G3V3O4wL8CIFrJFpGkFty85rXFm0hNgRT3yxJTgceZ+YcKfvE4M1I74mMtmk3ERESKEy7mllfrBjWYPCSPOycvY9R/17Dgy+8Z2T+bBjUiX31EJfxERPBKPv1t6gpenL+RxrWr8L8XnkDPXx1zxDlFJ9R+pJDEewk/M5sF3Oac+0WgNbNKwOfA2cDXeE3FBhytx4HitoiE4vcixqsLv+KOycuonp7GqP7ZdGlVv9TvoRJ+IiJHEZw+8sPeg4yYsJRZRaqPRONxZrxSEzERibZwJf8i5bLcpkwZmkedqmkcOBT5qiNKFxERCRKcPjLomQXceGYrbunRlkohmteEepxZkdJHgjnnJgITQxzfDPQKej0DmBHFoYmIlFnbhjV4Y3i3kDG+vDTJFhEpIrj6yGOz1rLgyx0hO4YV3REPqAKJiEiC8WOCDUoXEREJKZA+8kjfbJYXdgwrmj4CRz7OTKb0ERGReBDP/Qs0yRYRKUageU2DGukMemYB978ZvmNYuIYKIiISeUdrxx7rCbjSRUREjiKQPvLXKct5bNZaFn75PaP65xw1fUSpIiIi/gn19DCeGohpJVtEpAQCHcMe6ZvNss07S5Q+IiIi/inu6WE8pO9pki0iUgoX5TRmytA8Mqt76SMPvBU+fURERPwTeHp4S892v1ipLm4CHq00EqWLiIiUUusGgeojyxkzcy0L1odOHxEREX91aFYn5JPDcOl70Uwj0Uq2iEgZVKnspY883PeUYtNHREQkNkKl70UzjUSTbBGRcrg4p4nSR0REEkSoNBK/0keULiIiUk5KHxERSQzRbCKmlWwRkQgITh/ZsONH9ucfjvWQREQkhGg1EdNKtohIBF2c04TzTmxERlpqrIciIiJHEUgfyT9UEPEmYppki4hEmCbYIiKJwc8mYppki4iIiEjSClcGsLyUky0iIiIiEmGaZIuIiIiIRJgm2SIiIiIiEaZJtoiIiIhIhGmSLSIiIiISYZpki4iIiIhEmDnnYj2GiDKzrcCGoEO1gJ0hTg11vOix4NfB39cHtpV7sCUbU3nPL+6cktyDUMeKe+3HvSntfSnJ75T2voQ6frR7pc9MyV7Hw2fGj/sS6nhJXtd2zmUeZSwVSpG47UfMBn3O4vnfX0l/pzSfjXDH9ZmpGDG7JL8TiX9LoY4V/cyEj9nOuQr9BYwt6fGix4JfF/l+YTTHWp7zizunJPfgaPclGvemtPelJL9T2vtSkvugz0zifmb8uC+lvQ9lGXdF/PIjZhe+1ucs9H2K+X0p773RZyb5YnZJficS/5ZK+5kp+pUM6SJTS3G86LGpxfzMD6W9RknOL+6cktyDUMeO9jrSyvL+R/ud0t6XUMePdq/0mSn560iLh/sS6nis70siUMwu/c/i7XPmR8wu7hx9Zkr3s4oQs0vyO5H4txTqWIk/MxUuXSQazGyhcy431uOIR7o3oem+hKd7I9Ggz1loui/h6d6EpvtScsmwku2HsbEeQBzTvQlN9yU83RuJBn3OQtN9CU/3JjTdlxLSSraIiIiISIRpJVtEREREJMI0yRYRERERiTBNskVEREREIkyTbB+YWTUzW2RmF8R6LPHEzI43s8fN7DUzuyHW44kXZnaRmT1pZpPNrGesxxNPzKylmT1lZq/FeixScSlmh6aYHZpidniK2UfSJDuImT1tZt+Z2bIix881s9VmtsbMRpTgrf4IvOLPKGMjEvfGObfSOXc90AeoEOV/InRfJjnnrgUGAX19HG5URejerHPO/c7fkUqiUswOTzE7NMXs8BSzI0/VRYKY2enAHuB559yJhcdSgc+BHsAmYAHQH0gF7inyFr8FTsZrOZoBbHPOTYvO6P0ViXvjnPvOzH4NjAAedc6Nj9b4/RKp+1L4ew8CLzjnFkdp+L6K8L15zTl3abTGLolBMTs8xezQFLPDU8yOvEqxHkA8cc59YGbNixw+FVjjnFsHYGYvAb2dc/cAv3i0aGbdgWrACcA+M5vhnCvwdeBREIl7U/g+U4ApZjYdSPiAHaHPjAH3Am9UlGANkfvMiISjmB2eYnZoitnhKWZHnibZR9cY+Cro9SagU7iTnXO3A5jZILxVkYQP1sUo1b0xszOBS4B0YIavI4utUt0XYBhwDlDLzFo75x73c3AxVtrPTD3gbiDHzP5UGNhFiqOYHZ5idmiK2eEpZpeDJtlHZyGOHTXHxjn3bOSHEndKdW+cc7OAWX4NJo6U9r6MAkb5N5y4Utp7sx243r/hSAWkmB2eYnZoitnhKWaXgzY+Ht0moGnQ6ybA5hiNJd7o3oSm+xKe7o34TZ+x8HRvQtN9CU/3phw0yT66BUAbM2thZpWBfsCUGI8pXujehKb7Ep7ujfhNn7HwdG9C030JT/emHDTJDmJmLwIfA+3MbJOZ/c45dwgYCrwFrARecc4tj+U4Y0H3JjTdl/B0b8Rv+oyFp3sTmu5LeLo3kacSfiIiIiIiEaaVbBERERGRCNMkW0REREQkwjTJFhERERGJME2yRUREREQiTJNsEREREZEI0yRbRERERCTCNMkWEREREYkwTbKlwjOz2mZ2Y9DrY83sNZ+udZGZ3RnmZ3sK/8w0szf9uL6ISKJTzJaKQpNsSQa1gZ8CtnNus3PuUp+u9f+Ax4o7wTm3FdhiZl19GoOISCJTzJYKQZNsSQb3Aq3M7BMze8DMmpvZMgAzG2Rmk8xsqpmtN7OhZnaLmS0xs7lmVrfwvFZm9qaZLTKz2WZ2XNGLmFlb4IBzblvh6xZm9rGZLTCzfxQ5fRIw0N+/tohIQlLMlgpBk2xJBiOAtc65bOfcH0L8/ERgAHAqcDew1zmXA3wMXFl4zlhgmHOuA3AboVc+ugKLg16PBP7lnOsIfFPk3IVAtzL+fUREKjLFbKkQKsV6ACJxYKZzbjew28x2AlMLjy8FTjaz6kAX4FUzC/xOeoj3aQRsDXrdFfhN4ff/Bu4L+tl3wLGRGb6ISFJRzJaEoEm2CBwI+r4g6HUB3r+RFOAH51z2Ud5nH1CryDEX5tyMwvNFRKR0FLMlIShdRJLBbqBGWX/ZObcLWG9mlwGY55QQp64EWge9/hDoV/h90Vy+tsCyso5JRKQCU8yWCkGTbKnwnHPbgQ/NbJmZPVDGtxkI/M7MPgWWA71DnPMBkGM/P58cDgwxswX8crWkOzC9jGMREamwFLOlojDnwj0ZEZHSMrORwFTn3LtHOe8DoLdz7vvojExERIpSzBY/aSVbJLL+CVQt7gQzywQeUrAWEYk5xWzxjVayRUREREQiTCvZIiIiIiIRpkm2iIiIiEiEaZItIiIiIhJhmmSLiIiIiESYJtkiIiIiIhH2/wGTPJIps5tVJwAAAABJRU5ErkJggg==", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(12, 4))\n", - "plt.subplot(121)\n", - "plt.semilogx(to1, ho1, \"C0.\", label=\"observed 1\")\n", - "plt.semilogx(to1, h1a[0], \"C0\", label=\"model 1\")\n", - "plt.semilogx(to2, ho2, \"C1.\", label=\"observed 2\")\n", - "plt.semilogx(to2, h2a[0], \"C1\", label=\"model 2\")\n", - "plt.title(\"calibrated well 1\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\")\n", - "plt.legend()\n", - "plt.subplot(122)\n", - "plt.semilogx(to1, ho1, \"C0.\", label=\"observed 1\")\n", - "plt.semilogx(to1, h1b[0], \"C0\", label=\"model 1\")\n", - "plt.semilogx(to2, ho2, \"C1.\", label=\"observed 2\")\n", - "plt.semilogx(to2, h2b[0], \"C1\", label=\"model 2\")\n", - "plt.title(\"calibrated well 2\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\")\n", - "plt.legend();" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Add wellbore storage" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=60, z=(-18, -25), Saq=1e-4, tmin=1e-5, tmax=1)\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.1, rc=0.2, tsandQ=[(0, 788)], layers=0)\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ".....................................................................\n", - "Fit succeeded.\n" - ] - }, - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq080.88561.762533e+002.17904-infinf10[80.88563318907522]
Saq05.48726e-068.133163e-0714.8219-infinf1e-05[5.4872587991125894e-06]
rc0.2891031.712507e-025.923510.011.00.2[0.28910337107735706]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 80.8856 1.762533e+00 2.17904 -inf inf 10 \n", - "Saq0 5.48726e-06 8.133163e-07 14.8219 -inf inf 1e-05 \n", - "rc 0.289103 1.712507e-02 5.92351 0.01 1.0 0.2 \n", - "\n", - " parray \n", - "kaq0 [80.88563318907522] \n", - "Saq0 [5.4872587991125894e-06] \n", - "rc [0.28910337107735706] " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=10)\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-5)\n", - "cal.set_parameter_by_reference(\n", - " name=\"rc\", parameter=w.rc[:], initial=0.2, pmin=0.01, pmax=1\n", - ")\n", - "cal.series(name=\"obs1\", x=ro1, y=0, layer=0, t=to1, h=ho1)\n", - "cal.fit(report=False)\n", - "display(cal.parameters)\n", - "h1a = ml.head(ro1, 0, to1, 0) # simulated head\n", - "h2a = ml.head(ro2, 0, to2, 0) # simulated head" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ".........................................\n", - "Fit succeeded.\n" - ] - }, - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq088.15561.424251e+001.61561-infinf10[88.15561383825873]
Saq01.14684e-059.102371e-077.93689-infinf1e-05[1.1468428567176638e-05]
rc0.6405032.819260e-024.401640.011.00.2[0.6405027193856927]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 88.1556 1.424251e+00 1.61561 -inf inf 10 \n", - "Saq0 1.14684e-05 9.102371e-07 7.93689 -inf inf 1e-05 \n", - "rc 0.640503 2.819260e-02 4.40164 0.01 1.0 0.2 \n", - "\n", - " parray \n", - "kaq0 [88.15561383825873] \n", - "Saq0 [1.1468428567176638e-05] \n", - "rc [0.6405027193856927] " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=10)\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-5)\n", - "cal.set_parameter_by_reference(\n", - " name=\"rc\", parameter=w.rc[:], initial=0.2, pmin=0.01, pmax=1\n", - ")\n", - "cal.series(name=\"obs2\", x=ro2, y=0, layer=0, t=to2, h=ho2)\n", - "cal.fit(report=False)\n", - "display(cal.parameters)\n", - "h1b = ml.head(ro1, 0, to1, 0) # simulated head\n", - "h2b = ml.head(ro2, 0, to2, 0) # simulated head" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(12, 4))\n", - "plt.subplot(121)\n", - "plt.semilogx(to1, ho1, \"C0.\", label=\"observed 1\")\n", - "plt.semilogx(to1, h1a[0], \"C0\", label=\"model 1\")\n", - "plt.semilogx(to2, ho2, \"C1.\", label=\"observed 2\")\n", - "plt.semilogx(to2, h2a[0], \"C1\", label=\"model 2\")\n", - "plt.title(\"calibrated well 1\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\")\n", - "plt.legend()\n", - "plt.subplot(122)\n", - "plt.semilogx(to1, ho1, \"C0.\", label=\"observed 1\")\n", - "plt.semilogx(to1, h1b[0], \"C0\", label=\"model 1\")\n", - "plt.semilogx(to2, ho2, \"C1.\", label=\"observed 2\")\n", - "plt.semilogx(to2, h2b[0], \"C1\", label=\"model 2\")\n", - "plt.title(\"calibrated well 2\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\")\n", - "plt.legend();" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Two observation wells simultaneously" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "......................................................\n", - "Fit succeeded.\n" - ] - }, - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq066.0971.8817952.84702-infinf10[66.09703823087615]
Saq02.5394e-050.00000311.4473-infinf1e-05[2.539403531306147e-05]
rc0.01001042.50458325019.70.011.00.2[0.010010435955114824]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 66.097 1.881795 2.84702 -inf inf 10 \n", - "Saq0 2.5394e-05 0.000003 11.4473 -inf inf 1e-05 \n", - "rc 0.0100104 2.504583 25019.7 0.01 1.0 0.2 \n", - "\n", - " parray \n", - "kaq0 [66.09703823087615] \n", - "Saq0 [2.539403531306147e-05] \n", - "rc [0.010010435955114824] " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=10)\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-5)\n", - "cal.set_parameter_by_reference(\n", - " name=\"rc\", parameter=w.rc[:], initial=0.2, pmin=0.01, pmax=1\n", - ")\n", - "cal.series(name=\"obs1\", x=ro1, y=0, layer=0, t=to1, h=ho1)\n", - "cal.series(name=\"obs2\", x=ro2, y=0, layer=0, t=to2, h=ho2)\n", - "cal.fit(report=False)\n", - "display(cal.parameters)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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optimalstdperc_stdpminpmaxinitialparray
kaq059.53322.3679073.97746-infinf100[59.53319002210707]
Saq09.24053e-050.00001313.5447-infinf0.001[9.240529867448516e-05]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 59.5332 2.367907 3.97746 -inf inf 100 \n", - "Saq0 9.24053e-05 0.000013 13.5447 -inf inf 0.001 \n", - "\n", - " parray \n", - "kaq0 [59.53319002210707] \n", - "Saq0 [9.240529867448516e-05] " - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cal.parameters" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "rmse: 0.05345397106082128\n" - ] - } - ], - "source": [ - "print(\"rmse:\", cal.rmse())" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "hm = ml.head(robs, 0, tobs, 0)\n", - "plt.semilogx(tobs, hobs, \".k\")\n", - "plt.semilogx(tobs, hm[0], \"r\")" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "correlation matrix\n", - "[[ 5.60698139e+00 -2.52171428e-05]\n", - " [-2.52171428e-05 1.56651901e-10]]\n" - ] - } - ], - "source": [ - "print(\"correlation matrix\")\n", - "print(cal.fitresult.covar)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Fit with `scipy.least_squares` (not recommended)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "......................................................\n", - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 59.5334 2.339157 3.92915 -inf inf 100 \n", - "Saq0 9.2398e-05 0.000012 13.4157 -inf inf 0.001 \n", - "\n", - " parray \n", - "kaq0 [59.53335695354822] \n", - "Saq0 [9.23979769151393e-05] \n", - "[2.33915730e+00 1.23958453e-05]\n", - "[[ 5.47165689e+00 -2.46555615e-05]\n", - " [-2.46555615e-05 1.53656981e-10]]\n", - "[[ 1. -0.85031398]\n", - " [-0.85031398 1. ]]\n" - ] - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=100)\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-3)\n", - "cal.series(name=\"obs1\", x=robs, y=0, layer=0, t=tobs, h=hobs)\n", - "cal.fit_least_squares(report=True)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Calibrate parameters in multiple layers\n", - "Example showing how parameters can be optimized when multiple layers share the same parameter value." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(\n", - " kaq=[10.0, 10.0],\n", - " z=(-10, -16, -18, -25),\n", - " c=[10.0],\n", - " Saq=[0.1, 1e-4],\n", - " tmin=1e-5,\n", - " tmax=1,\n", - ")\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.1, tsandQ=[(0, 788)], layers=1)\n", - "ml.solve()\n", - "hobs0 = ml.head(robs, 0, tobs, layers=[0])[0]\n", - "hobs1 = ml.head(robs, 0, tobs, layers=[1])[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq059.53342.3391573.92915-infinf100[59.53335695354822]
Saq09.2398e-050.00001213.4157-infinf0.001[9.23979769151393e-05]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0 59.5334 2.339157 3.92915 -inf inf 100 \n", - "Saq0 9.2398e-05 0.000012 13.4157 -inf inf 0.001 \n", - "\n", - " parray \n", - "kaq0 [59.53335695354822] \n", - "Saq0 [9.23979769151393e-05] " - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cal.parameters" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "..............................................................................................\n", - "Fit succeeded.\n" - ] - }, - { - "data": { - "text/html": [ - "
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optimalstdperc_stdpminpmaxinitialparray
kaq0_110.0028217.760404e-040.0077580.0000030.020.000[10.00282083843134, 10.00282083843134]
Saq00.0999771.029338e-060.0010300.000010.20.001[0.09997723703792818]
Saq10.0001002.783601e-090.0027830.000010.20.001[0.00010001141042525883]
c110.0008322.330321e-040.0023300.10000200.01.000[10.000832122134655]
\n", - "
" - ], - "text/plain": [ - " optimal std perc_std pmin pmax initial \\\n", - "kaq0_1 10.002821 7.760404e-04 0.007758 0.00000 30.0 20.000 \n", - "Saq0 0.099977 1.029338e-06 0.001030 0.00001 0.2 0.001 \n", - "Saq1 0.000100 2.783601e-09 0.002783 0.00001 0.2 0.001 \n", - "c1 10.000832 2.330321e-04 0.002330 0.10000 200.0 1.000 \n", - "\n", - " parray \n", - "kaq0_1 [10.00282083843134, 10.00282083843134] \n", - "Saq0 [0.09997723703792818] \n", - "Saq1 [0.00010001141042525883] \n", - "c1 [10.000832122134655] " - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(\n", - " name=\"kaq0_1\", initial=20.0, pmin=0.0, pmax=30.0\n", - ") # layers 0 and 1 have the same k-value\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-3, pmin=1e-5, pmax=0.2)\n", - "cal.set_parameter(name=\"Saq1\", initial=1e-3, pmin=1e-5, pmax=0.2)\n", - "cal.set_parameter(name=\"c1\", initial=1.0, pmin=0.1, pmax=200.0)\n", - "cal.series(name=\"obs0\", x=robs, y=0, layer=0, t=tobs, h=hobs0)\n", - "cal.series(name=\"obs1\", x=robs, y=0, layer=1, t=tobs, h=hobs1)\n", - "cal.fit(report=False)\n", - "display(cal.parameters)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.semilogx(tobs, hobs0, \".C0\", label=\"obs layer 0\")\n", - "plt.semilogx(tobs, hobs1, \".C1\", label=\"obs layer 1\")\n", - "\n", - "hm = ml.head(robs, 0, tobs)\n", - "plt.semilogx(tobs, hm[0], \"C0\", label=\"modelled head layer 0\")\n", - "plt.semilogx(tobs, hm[1], \"C1\", label=\"modelled head layer 1\")\n", - "\n", - "plt.legend(loc=\"best\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Generate data for head measured in well" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "tobs2 = np.hstack((tobs, np.arange(0.61, 1, 0.01)))" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=60, z=(-18, -25), Saq=1e-4, tmin=1e-5, tmax=1)\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.3, res=0.02, tsandQ=[(0, 788), (0.6, 0)], layers=0)\n", - "ml.solve()\n", - "np.random.seed(2)\n", - "hobs2 = w.headinside(tobs2)[0] + 0.05 * np.random.randn(len(tobs2))" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "..................................................................................................................................................\n", - "Fit succeeded.\n", - "[[Fit Statistics]]\n", - " # fitting method = leastsq\n", - " # function evals = 143\n", - " # data points = 73\n", - " # variables = 3\n", - " chi-square = 0.17064806\n", - " reduced chi-square = 0.00243783\n", - " Akaike info crit = -436.278631\n", - " Bayesian info crit = -429.407253\n", - "[[Variables]]\n", - " kaq0: 60.2257029 +/- 1.32915917 (2.21%) (init = 100)\n", - " Saq0: 0.00144777 +/- 0.00829132 (572.70%) (init = 0.001)\n", - " res: 0.02699969 +/- 0.01388099 (51.41%) (init = 0.05)\n", - "[[Correlations]] (unreported correlations are < 0.100)\n", - " C(Saq0, res) = 1.000\n", - " C(kaq0, Saq0) = -0.530\n", - " C(kaq0, res) = -0.506\n" - ] - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0\", initial=100)\n", - "cal.set_parameter(name=\"Saq0\", initial=1e-3)\n", - "cal.set_parameter_by_reference(name=\"res\", parameter=w.res[:], initial=0.05)\n", - "cal.seriesinwell(name=\"obs1\", element=w, t=tobs2, h=hobs2)\n", - "cal.fit()" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "hm = w.headinside(tobs2)\n", - "plt.semilogx(tobs2, hobs2, \".k\")\n", - "plt.semilogx(tobs2, hm[0], \"r\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autoclose": false, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": false, - "user_envs_cfg": false - }, - "varInspector": { - "cols": { - "lenName": 16, - "lenType": 16, - "lenVar": 40 - }, - "kernels_config": { - "python": { - "delete_cmd_postfix": "", - "delete_cmd_prefix": "del ", - "library": "var_list.py", - "varRefreshCmd": "print(var_dic_list())" - }, - "r": { - "delete_cmd_postfix": ") ", - "delete_cmd_prefix": "rm(", - "library": "var_list.r", - "varRefreshCmd": "cat(var_dic_list()) " - } - }, - "types_to_exclude": [ - "module", - "function", - "builtin_function_or_method", - "instance", - "_Feature" - ], - "window_display": false - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/theis_storage.ipynb b/notebooks/theis_storage.ipynb deleted file mode 100644 index f0939c3..0000000 --- a/notebooks/theis_storage.ipynb +++ /dev/null @@ -1,370 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Theis storage test" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from scipy.special import exp1\n", - "from scipy.integrate import solve_ivp, quad" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "Q = -100\n", - "npor = 0.3\n", - "k = 10\n", - "H = 10\n", - "T = k * H\n", - "Ss = 1e-4\n", - "S = Ss * H" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "def headtheis(r, t, T=T, S=S, Q=Q):\n", - " u = r**2 * S / (4 * T * t)\n", - " h = -Q / (4 * np.pi * T) * exp1(u)\n", - " return h\n", - "\n", - "\n", - "def voltheis(r, t, T, S, Q):\n", - " u = r**2 * S / (4 * T * t)\n", - " h = -Q / (4 * np.pi * T) * exp1(u)\n", - " vol = h * 2 * np.pi * r\n", - " return vol * S" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(999.999999994425, 1.4198836879586452e-06)" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# demonstrate headtheis works correctly\n", - "quad(voltheis, a=1e-3, b=10000, args=(10, T, S, Q)) # gives 1000 m^3" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "def volume(r, t, T=T, S=S, Q=Q):\n", - " return quad(voltheis, a=1e-3, b=r, args=(10, T, S, Q))[0] + npor * np.pi * (r**2)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "def vxytheis(t, xy):\n", - " x, y = xy\n", - " r = np.sqrt(x**2 + y**2)\n", - " u = S * r**2 / (4 * T * t)\n", - " Qr = -Q / (2 * np.pi) / r * np.exp(-u)\n", - " vr = Qr / (H * npor)\n", - " vx = vr * x / r\n", - " vy = vr * y / r\n", - " return np.array([vx, vy])" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "def vxytheisnew(t, xy):\n", - " x, y = xy\n", - " r = np.sqrt(x**2 + y**2)\n", - " u = S * r**2 / (4 * T * t)\n", - " Qr = -Q / (2 * np.pi) / r * np.exp(-u)\n", - " vr = Qr / (H * (npor + S * headtheis(x, t)))\n", - " vx = vr * x / r\n", - " vy = vr * y / r\n", - " return np.array([vx, vy])" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(10.300504380350029, 999.9726219155026)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# trace pathline for 10 days\n", - "path0 = solve_ivp(vxytheis, (1e-5, 10), y0=[1e-5, 0], method=\"DOP853\")\n", - "R0 = path0.y[0, -1]\n", - "R0, np.pi * R0**2 * npor * H" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(10.286920903323537, 997.3369938953231)" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "path0 = solve_ivp(vxytheisnew, (1e-5, 10), y0=[1e-5, 0], method=\"DOP853\")\n", - "R1 = path0.y[0, -1]\n", - "R1, np.pi * R1**2 * npor * H" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.0009076383332409225" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "headtheis(5, 10) * S" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3.0" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "npor * H" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "R, volume 10.286920903323537 997.3369938953231\n" - ] - } - ], - "source": [ - "R = path0.y[0, -1]\n", - "print(\"R, volume\", R, np.pi * R**2 * npor * H)" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1009.0147425061979" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from scipy.integrate import quad\n", - "\n", - "quad(headtheis, 1e-5, R, args=(100, T, S, Q))[0] + np.pi * R**2 * npor * H" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "t0 = 0\n", - "t1 = 10\n", - "\n", - "\n", - "def vxytheis2(t, xy):\n", - " x, y = xy\n", - " r = np.sqrt(x**2 + y**2)\n", - " u1 = S * r**2 / (4 * T * (t - t0))\n", - " u2 = S * r**2 / (4 * T * (t - t1))\n", - " Qr = -Q / (2 * np.pi) / r * np.exp(-u1)\n", - " if t >= t1:\n", - " Qr += 2 * Q / (2 * np.pi) / r * np.exp(-u2)\n", - " vr = Qr / (H * npor)\n", - " vx = vr * x / r\n", - " vy = vr * y / r\n", - " return np.array([vx, vy])" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "0.23642465667948978" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "path1 = solve_ivp(vxytheis2, (10 + 1e-6, 20), y0=[R, 0], method=\"DOP853\")\n", - "path1.y[0, -1]" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - " message: 'The solver successfully reached the end of the integration interval.'\n", - " nfev: 194\n", - " njev: 0\n", - " nlu: 0\n", - " sol: None\n", - " status: 0\n", - " success: True\n", - " t: array([10.000001 , 10.27008746, 10.59652189, 12.68413034, 17.0030137 ,\n", - " 18.78126275, 19.51325123, 19.81416749, 19.9371275 , 19.98633926,\n", - " 20. ])\n", - " t_events: None\n", - " y: array([[10.2869209 , 10.16266029, 9.99100995, 8.81345225, 5.64399507,\n", - " 3.60375877, 2.28483344, 1.42395422, 0.85029311, 0.44815448,\n", - " 0.23642466],\n", - " [ 0. , 0. , 0. , 0. , 0. ,\n", - " 0. , 0. , 0. , 0. , 0. ,\n", - " 0. ]])\n", - " y_events: None" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "path1" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([-0.53039491, -0. ])" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "vxytheis2(12 + 1e-6, (10, 0))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/ttim_exercise1_sol.ipynb b/notebooks/ttim_exercise1_sol.ipynb deleted file mode 100755 index 6fda529..0000000 --- a/notebooks/ttim_exercise1_sol.ipynb +++ /dev/null @@ -1,329 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## TTim Exercise 1" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Consider a three-aquifer system. Aquifer properties are given in Table 1. All aquifers have elastic storage. A well is located at $(x,y)=(0,0)$ and is screened in layer 1. The well starts pumping at time $t=0$ with a discharge $Q=1000$ m$^3$/d. The radius of the well is 0.2 m.\n", - "\n", - "#### Table 1 - Aquifer properties for exercise 1\n", - "|Layer | $k$ (m/d) | $c$ (d) | $S_s$ (m$^{-1}$) | $z_t$ (m) | $z_b$ (m)|\n", - "|---------------| ---------:| -------:| -----:| ---------:| --------:|\n", - "|Aquifer 0 | 1 | - |0.0001 | 25 | 20|\n", - "|Leaky layer 1 | - | 1000 |0 | 20 | 18|\n", - "|Aquifer 1 | 20 | - |0.0001 | 18 | 10|\n", - "|Leaky layer 2 | - | 2000 |0 | 10 | 8|\n", - "|Aquifer 2 | 2 | - |0.0001 | 8 | 0|\n" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Exercise 1a\n", - "\n", - "Compute the head as a function of time at $(x,y)=(50,0)$. Make a plot of the head vs. time from $t=0.1$ till $t=1000$ days using a linear scaling on both axis. Do the same using a logarithmic time axis." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ml = ttim.ModelMaq(\n", - " kaq=[1, 20, 2],\n", - " z=[25, 20, 18, 10, 8, 0],\n", - " c=[1000, 2000],\n", - " Saq=[1e-4, 1e-4, 1e-4],\n", - " Sll=[0, 0],\n", - " phreatictop=False,\n", - " tmin=0.1,\n", - " tmax=1000,\n", - ")\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.2, tsandQ=[(0, 1000)], layers=1)\n", - "ml.solve()\n", - "\n", - "t = np.logspace(-1, 3, 100)\n", - "h = ml.head(50, 0, t)\n", - "plt.figure(figsize=(12, 6))\n", - "plt.subplot(121)\n", - "plt.plot(t, h[0], label=\"layer 0\")\n", - "plt.plot(t, h[1], label=\"layer 1\")\n", - "plt.plot(t, h[2], label=\"layer 2\")\n", - "plt.legend(loc=\"best\")\n", - "plt.ylabel(\"head [m]\")\n", - "plt.xlabel(\"time [days]\")\n", - "plt.subplot(122)\n", - "plt.semilogx(t, h[0], label=\"layer 0\")\n", - "plt.semilogx(t, h[1], label=\"layer 1\")\n", - "plt.semilogx(t, h[2], label=\"layer 2\")\n", - "plt.legend(loc=\"best\")\n", - "plt.xlabel(\"time [days]\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Exercise 1b\n", - "Create a plot of the head vs. distance from the well after 10 days of pumping. Plot the head in all three layers up to a distance of 1000 m from the well. Make the same plot after 1000 days of pumping. Is there much difference between 100 and 1000 days of pumping?" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ml.xsection(x1=-1000, x2=1000, y1=0, y2=0, npoints=100, t=10, layers=[0, 1, 2])\n", - "plt.xlabel(\"distance (m)\")\n", - "plt.ylabel(\"head (m)\")\n", - "ml.xsection(x1=-1000, x2=1000, y1=0, y2=0, npoints=100, t=1000, layers=[0, 1, 2])\n", - "plt.xlabel(\"distance (m)\")\n", - "plt.ylabel(\"head (m)\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Exercise 1c\n", - "The well is turned off after 100 days. Compute the head as a function of time at $(x,y)=(50,0)$. Make a plot of the head vs. time from $t=0.1$ till $t=1000$ days using a logarithmic time axis." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "ml = ttim.ModelMaq(\n", - " kaq=[1, 20, 2],\n", - " z=[25, 20, 18, 10, 8, 0],\n", - " c=[1000, 2000],\n", - " Saq=[1e-4, 1e-4, 1e-4],\n", - " Sll=[0, 0],\n", - " phreatictop=False,\n", - " tmin=0.1,\n", - " tmax=1000,\n", - ")\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.2, tsandQ=[(0, 1000), (100, 0)], layers=1)\n", - "ml.solve()\n", - "t = np.logspace(-1, 3, 100)\n", - "h = ml.head(50, 0, t)\n", - "plt.semilogx(t, h[0], label=\"layer 0\")\n", - "plt.semilogx(t, h[1], label=\"layer 1\")\n", - "plt.semilogx(t, h[2], label=\"layer 2\")\n", - "plt.legend(loc=\"best\")\n", - "plt.ylabel(\"head [m]\")\n", - "plt.xlabel(\"time [days]\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Exercise 1d\n", - "Compute the head inside the well as a function of time from $t=0.1$ till $t=1000$ days using a logarithmic time axis. On the same graph, plot the head inside the well vs. time when the entry resistance of the well is 0.1 days." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "h = w.headinside(t)\n", - "plt.semilogx(t, h[0], label=\"res=0\") # head from previous solution\n", - "w.res = 0.1\n", - "ml.solve()\n", - "h = w.headinside(t)\n", - "plt.semilogx(t, h[0], label=\"res=0.1\")\n", - "plt.legend(loc=\"best\")\n", - "plt.ylabel(\"head [m]\")\n", - "plt.xlabel(\"time [days]\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "#### Exercise 1e\n", - "Conside again the case of a well without skin effect. \n", - "Compute the head inside the well as a function of time from $t=1$ min till $t=1$ day using a logarithmic time axis. On the same graph, plot the head inside the well vs. time when the wellbore storage is taken into account." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n", - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "tmin = 1.0 / 24 / 60 # 1 minute\n", - "ml = ttim.ModelMaq(\n", - " kaq=[1, 20, 2],\n", - " z=[25, 20, 18, 10, 8, 0],\n", - " c=[1000, 2000],\n", - " Saq=[1e-4, 1e-4, 1e-4],\n", - " Sll=[0, 0],\n", - " phreatictop=False,\n", - " tmin=1e-4,\n", - " tmax=1,\n", - ")\n", - "w = ttim.Well(ml, xw=0, yw=0, rw=0.2, tsandQ=[(0, 1000)], layers=1)\n", - "ml.solve()\n", - "t = np.logspace(np.log10(tmin), 0, 100)\n", - "h = w.headinside(t)\n", - "plt.semilogx(t, h[0], label=\"no wellbore storage\") # head from previous solution\n", - "w.rc = 0.2\n", - "ml.solve()\n", - "h = w.headinside(t)\n", - "plt.semilogx(t, h[0], label=\"wellbore storage\")\n", - "plt.legend(loc=\"best\")\n", - "plt.ylabel(\"head [m]\")\n", - "plt.xlabel(\"time [days]\")\n", - "plt.xticks([tmin, 10 * tmin, 60 * tmin, 1], [\"1 min\", \"10 min\", \"1 hr\", \"1 day\"]);" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.13" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/ttim_figures.ipynb b/notebooks/ttim_figures.ipynb deleted file mode 100644 index 57ee170..0000000 --- a/notebooks/ttim_figures.ipynb +++ /dev/null @@ -1,132 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "from pylab import *\n", - "\n", - "%matplotlib inline" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# ModelMaq figure\n", - "figure()\n", - "axes(frameon=0)\n", - "grey = [0.9, 0.9, 0.9]\n", - "plot([-1, 1], [0, 0], \"k\", lw=2)\n", - "axhspan(-5, -10, color=grey)\n", - "axhspan(-20, -25, color=grey)\n", - "plot([-1, 1], [-35, -35], \"k\", lw=2)\n", - "text(-0.5, -2.5, \"$k$ = 10 m/d\", ha=\"center\", va=\"center\")\n", - "text(-0.5, -15, \"$k$ = 30 m/d\", ha=\"center\", va=\"center\")\n", - "text(-0.5, -30, \"$k$ = 20 m/d\", ha=\"center\", va=\"center\")\n", - "text(-0.5, -7.5, \"$c$ = 2000 d\", ha=\"center\", va=\"center\")\n", - "text(-0.5, -22.5, \"$c$ = 5000 d\", ha=\"center\", va=\"center\")\n", - "text(0.5, -2.5, \"$S$ = 0.1\", ha=\"center\", va=\"center\")\n", - "text(0.5, -15, \"$S_s$ = 0.0001\", ha=\"center\", va=\"center\")\n", - "text(0.5, -30, \"$S_s$ = 0.0002\", ha=\"center\", va=\"center\")\n", - "text(0.5, -7.5, \"$S_s$ = 0.0001\", ha=\"center\", va=\"center\")\n", - "text(0.5, -22.5, \"$S_s$ = 0.0004\", ha=\"center\", va=\"center\")\n", - "xlim(-1, 1)\n", - "yticks([0, -5, -10, -20, -25, -35])\n", - "ylabel(\"elevation (m)\")\n", - "xticks([])\n", - "# savefig(\"../docs/_static/modelmaq.png\", bbox_inches=\"tight\")\n", - "# ModelMaq(kaq=[10, 30, 20], z=[0, -5, -10, -20, -25, -35], c=[2000, 5000])" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# ModelMaq figure\n", - "figure()\n", - "axes(frameon=0)\n", - "grey = [0.9, 0.9, 0.9]\n", - "plot([-1, 1], [0, 0], \"k\", lw=2)\n", - "axhspan(-5, -5, color=grey)\n", - "axhspan(-10, -10, color=grey)\n", - "axhspan(-20, -20, color=grey)\n", - "axhspan(-25, -25, color=grey)\n", - "plot([-1, 1], [-35, -35], \"k\", lw=2)\n", - "text(-0.5, -2.5, \"$k$ = 10 m/d\", ha=\"center\", va=\"center\")\n", - "text(-0.5, -7.5, \"$k$ = 0.025 m/d\", ha=\"center\", va=\"center\")\n", - "text(-0.5, -15, \"$k$ = 30 m/d\", ha=\"center\", va=\"center\")\n", - "text(-0.5, -22.5, \"$k$ = 0.01 m/d\", ha=\"center\", va=\"center\")\n", - "text(-0.5, -30, \"$k$ = 20 m/d\", ha=\"center\", va=\"center\")\n", - "text(0.5, -2.5, \"$S_s$ = 0.0001\", ha=\"center\", va=\"center\")\n", - "text(0.5, -7.5, \"$S_s$ = 0.0001\", ha=\"center\", va=\"center\")\n", - "text(0.5, -15, \"$S_s$ = 0.0001\", ha=\"center\", va=\"center\")\n", - "text(0.5, -22.5, \"$S_s$ = 0.0001\", ha=\"center\", va=\"center\")\n", - "text(0.5, -30, \"$S_s$ = 0.0001\", ha=\"center\", va=\"center\")\n", - "xlim(-1, 1)\n", - "yticks([0, -5, -10, -20, -25, -35])\n", - "ylabel(\"elevation (m)\")\n", - "xticks([])\n", - "# savefig(\"../docs/_static/model3d.png\", bbox_inches=\"tight\")\n", - "# Model3D(kaq=[10, 0.0025, 30, 0.001, 20], z=[0, -5, -10, -20, -25, -35], kzoverkh=0.1)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - }, - "widgets": { - "state": {}, - "version": "1.1.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/ttim_neuman_comparison.ipynb b/notebooks/ttim_neuman_comparison.ipynb deleted file mode 100644 index 494c23d..0000000 --- a/notebooks/ttim_neuman_comparison.ipynb +++ /dev/null @@ -1,221 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Comparison with analytic solution for unconfined flow\n", - "\n", - "Consider flow to a pumping well in an unconfined aquifer. The drawdown vs. time curves will show the effect of the delayed response of the water table. Neuman (1972) published a transient three-dimensional well solution for the case that the aquifer thickness may be approximated as constant, which is reasonable when the drawdown is small compared to the saturated thickness. Phreatic storage is taken into account through the boundary condition at the top of the aquifer. The same problem may be solved with TTim. An unconfined aquifer is divided into ten model layers of 1 meter thickness and with elastic storage. A thin eleventh layer is added on top of the aquifer and has phreatic storage. The values are summarized in the table below. One well is screened in layers 1 through 10. As the `DischargeWell` element is used, the discharge is specified for each layer to be 1 m$^3$/d for a total of 10 m$^3$/d. This facilitates comparison with the solution of Neuman, who specified a uniform inflow along the well face. (In reality it would be better to use a `Well` element, where the head is uniform along the well screen and the inflow varies.) The effect of the delayed response of the water table is clearly visible in the figure below, but it is noted that this effect is much less pronounced when the curves are plotted on a linear scale rather than a log scale. \n", - "\n", - "### Aquifer data \n", - "\n", - "| Layer | k$_\\text{aq}$ (m/day) | thickness (m) | Saq ($\\sigma = 0.1$) |Saq ($\\sigma=0.01$) | Saq ($\\sigma=0.001$) |\n", - "| --- | ---: | ---: | ---: |---: | ---: |\n", - "| 0 | 1 | 0.01 | 0.1 | 0.1 | 0.1 |\n", - "| 1-10 | 1 | 1 | 10$^{-3}$ m$^{-1}$ | 10$^{-4}$ m$^{-1}$ | 10$^{-5}$ m$^{-1}$ |\n", - "\n", - "A comparison is made to Fig. 2 in Neuman (1972). This graph shows dimensionless drawdown vs. dimensionless time, both on a log scale, at the bottom of the aquifer at a distance of one aquifer thickness from the well for an isotropic aquifer. The curves represent different values of $\\sigma$, defined as the ratio of the total elastic storage of the aquifer divided by the phreatic storage. The same problem is solved with TTim for the same five values of $\\sigma$. The crosses in the figure represent the drawdown computed with TTim in the bottom layer of the model. This test validates the accuracy of TTim for modeling quasi three-dimensional flow using Model3D in combination with phreatic storage and a `DischargeWell` element screened in multiple aquifer layers.\n", - "\n", - "**Reference**\n", - "\n", - "S.P. Neuman, 1972, Theory of flow in unconfined aquifers considering delayed response of the water table. Water Resources Research 8(4), 1031-1045." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import matplotlib.image as mpimg\n", - "import ttim" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "sigma equals: 0.09999999999999999\n", - "sigma equals: 0.01\n", - "sigma equals: 0.001\n", - "sigma equals: 9.999999999999999e-05\n", - "sigma equals: 9.999999999999999e-06\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10, 6))\n", - "img = mpimg.imread(\"figs/neuman.png\")\n", - "plt.imshow(np.flipud(img), origin=\"lower\", extent=(-1, 5, -2, 1))\n", - "\n", - "kaq = np.ones(11)\n", - "z = np.hstack((10.01, np.arange(10, -1, -1)))\n", - "S = 0.1 * np.ones(11)\n", - "T = 10\n", - "\n", - "for Ss in [1e-3, 1e-4, 1e-5, 1e-6, 1e-7]:\n", - " # for Ss in [1e-3]:\n", - " S[1:] = Ss\n", - " Stot = 10 * Ss\n", - " sig = Stot / S[0]\n", - " print(\"sigma equals:\", sig)\n", - " ts = np.logspace(-1, 5, 40)\n", - " t = ts * Stot * 10**2 / T\n", - " #\n", - " ml = ttim.Model3D(kaq, z, S, kzoverkh=1, phreatictop=True, tmin=t[0], tmax=t[-1])\n", - " w = ttim.DischargeWell(\n", - " ml, xw=0, yw=0, rw=0.1, tsandQ=[(0, 1)], layers=np.arange(1, 11)\n", - " )\n", - " ml.solve(silent=True)\n", - " h = ml.head(10, 0, t)\n", - " d = -h * 4 * np.pi * T / 10\n", - " plt.plot(np.log10(ts), np.log10(d[-1]), \"+\", markersize=15, mew=1.5)\n", - "\n", - "plt.xlabel(\"$\\log[Tt/(Sr^2)]$\", fontsize=14)\n", - "plt.ylabel(\"$\\log[4\\pi Ts/Q]$\", fontsize=14);" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Uniform head rather than uniform inflow\n", - "The solution is repeated for the case that the inflow along the wellbore is not uniform, but the head along the wellbore is uniform and the total discharge is equal to the specified discharge. The only change is that the `DischargeWell` element is replaced by a `Well` element." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "sigma equals: 0.09999999999999999\n", - "sigma equals: 0.01\n", - "sigma equals: 0.001\n", - "sigma equals: 9.999999999999999e-05\n", - "sigma equals: 9.999999999999999e-06\n" - ] - }, - { - "data": { - "image/png": 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(10, 6))\n", - "img = mpimg.imread(\"figs/neuman.png\")\n", - "plt.imshow(np.flipud(img), origin=\"lower\", extent=(-1, 5, -2, 1))\n", - "\n", - "kaq = np.ones(11)\n", - "z = np.hstack((10.01, np.arange(10, -1, -1)))\n", - "S = 0.1 * np.ones(11)\n", - "T = 10\n", - "\n", - "for Ss in [1e-3, 1e-4, 1e-5, 1e-6, 1e-7]:\n", - " # for Ss in [1e-3]:\n", - " S[1:] = Ss\n", - " Stot = 10 * Ss\n", - " sig = Stot / S[0]\n", - " print(\"sigma equals:\", sig)\n", - " ts = np.logspace(-1, 5, 40)\n", - " t = ts * Stot * 10**2 / T\n", - " #\n", - " ml = ttim.Model3D(kaq, z, S, kzoverkh=1, phreatictop=True, tmin=t[0], tmax=t[-1])\n", - " w = ttim.Well(ml, xw=0, yw=0, rw=0.1, tsandQ=[(0, 10)], layers=np.arange(1, 11))\n", - " ml.solve(silent=True)\n", - " h = ml.head(10, 0, t)\n", - " d = -h * 4 * np.pi * T / 10\n", - " plt.plot(np.log10(ts), np.log10(d[-1]), \"+\", markersize=15, mew=1.5)\n", - "\n", - "plt.xlabel(\"$\\log[Tt/(Sr^2)]$\", fontsize=14)\n", - "plt.ylabel(\"$\\log[4\\pi Ts/Q]$\", fontsize=14);" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.2" - }, - "varInspector": { - "cols": { - "lenName": 16, - "lenType": 16, - "lenVar": 40 - }, - "kernels_config": { - "python": { - "delete_cmd_postfix": "", - "delete_cmd_prefix": "del ", - "library": "var_list.py", - "varRefreshCmd": "print(var_dic_list())" - }, - "r": { - "delete_cmd_postfix": ") ", - "delete_cmd_prefix": "rm(", - "library": "var_list.r", - "varRefreshCmd": "cat(var_dic_list()) " - } - }, - "types_to_exclude": [ - "module", - "function", - "builtin_function_or_method", - "instance", - "_Feature" - ], - "window_display": false - }, - "widgets": { - "state": {}, - "version": "1.1.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/ttim_pumptest_neuman.ipynb b/notebooks/ttim_pumptest_neuman.ipynb deleted file mode 100755 index e9345ad..0000000 --- a/notebooks/ttim_pumptest_neuman.ipynb +++ /dev/null @@ -1,469 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Pumping test analysis of a constant-rate pumping test in an anisotropic unconfined aquifer\n", - "The description and data for this example are taken from the [aqtesolve](http://www.aqtesolv.com/examples/ione.htm) website. \n", - "\n", - "Lohman (1972) presented data from a constant-rate pumping test performed in an unconfined aquifer with delayed gravity response near Ione, Colorado. The thickness of the unconfined alluvium was 39.4 ft. The fully penetrating test well pumped at a rate of 1170 gallons-per-minute (gpm) for 4270 minutes. The drawdown data were recorded in an observation well located 63 ft from the test well at a depth of 19.7 ft below the static water surface." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false, - "jupyter": { - "outputs_hidden": false - } - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import pandas as pd\n", - "from scipy.optimize import fmin\n", - "import ttim" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": { - "collapsed": false, - "jupyter": { - "outputs_hidden": false - } - }, - "outputs": [], - "source": [ - "# problem definition\n", - "H = 39.4 * 0.3048 # thickness [meters]\n", - "xw, yw = 0, 0 # location well\n", - "xp, yp = 63 * 0.3048, 0 # Location piezometer [meter]\n", - "Qw = 1170 * 5.45 # discharge well in [m3/d]\n", - "z_obswell = -19.7 * 0.3048 # elevation of observation well" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false, - "jupyter": { - "outputs_hidden": false - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "minimum and maximum time: 0.0006944444444444445 2.965277777777778\n" - ] - } - ], - "source": [ - "# loading data\n", - "data = np.loadtxt(\"./data/pumptest_neuman.txt\") # time and drawdown\n", - "time, dd = data[:, 0], data[:, 1]\n", - "td = time / 60 / 24 # t in [days]\n", - "ho = -dd * 0.3048 # observed head [meter]\n", - "print(\"minimum and maximum time:\", td.min(), td.max())" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "# layer definition\n", - "nlay = 12 # number of layers\n", - "zlayers = np.linspace(0, -H, nlay + 1)\n", - "zcenter = 0.5 * (zlayers[:-1] + zlayers[1:])\n", - "layer_obswell = np.argmin(np.abs(z_obswell - zcenter))" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Flow is simulated with a quasi three-dimensional model consisting of one aquifer which is divided into `nlay` model layers. The top and bottom of the aquifer are impermeable. The horizontal hydraulic conductivity $k$, phreatic storage $S_y$, elastic storage $S_s$, and vertical anisotropy $k_v/k_h$ are unkonwn. The variable `p` contains all unknown parameters. The well is modeled with the `Well` element. TTim divides the discharge along the layers such that the head is the same at the well in all screened layers." - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 12\n", - "solution complete\n" - ] - } - ], - "source": [ - "Saq = 1e-4 * np.ones(nlay)\n", - "Saq[0] = 0.2\n", - "ml = ttim.Model3D(\n", - " kaq=10, z=zlayers, Saq=Saq, kzoverkh=0.2, phreatictop=True, tmin=1e-4, tmax=10\n", - ")\n", - "w = ttim.Well(ml, xw=xw, yw=yw, rw=0.3, tsandQ=[(0, Qw)], layers=range(nlay))\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ".....................................................\n", - "Fit succeeded.\n", - "[[Fit Statistics]]\n", - " # fitting method = leastsq\n", - " # function evals = 50\n", - " # data points = 72\n", - " # variables = 4\n", - " chi-square = 0.00626394\n", - " reduced chi-square = 9.2117e-05\n", - " Akaike info crit = -665.172047\n", - " Bayesian info crit = -656.065383\n", - "[[Variables]]\n", - " kaq0_11: 177.536099 +/- 0.98674913 (0.56%) (init = 100)\n", - " Saq0: 0.15650530 +/- 0.00308178 (1.97%) (init = 0.1)\n", - " Saq1_11: 5.1337e-04 +/- 4.9031e-06 (0.96%) (init = 0.0001)\n", - " kzoverkh: 0.18638037 +/- 0.00571886 (3.07%) (init = 0.2)\n", - "[[Correlations]] (unreported correlations are < 0.100)\n", - " C(kaq0_11, Saq0) = -0.945\n", - " C(Saq0, kzoverkh) = -0.294\n", - " C(kaq0_11, kzoverkh) = 0.241\n", - " C(kaq0_11, Saq1_11) = -0.183\n" - ] - } - ], - "source": [ - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0_11\", initial=100, pmin=10, pmax=400)\n", - "cal.set_parameter(name=\"Saq0\", initial=0.1, pmin=0.01, pmax=1)\n", - "cal.set_parameter(name=\"Saq1_11\", initial=1e-4, pmin=1e-5, pmax=1e-3)\n", - "cal.set_parameter_by_reference(\n", - " name=\"kzoverkh\", parameter=ml.aq.kzoverkh[:], initial=0.2, pmin=0.01, pmax=1\n", - ")\n", - "cal.series(name=\"obs1\", x=xp, y=yp, layer=layer_obswell, t=td, h=ho)\n", - "cal.fit()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "cal.parameters\n", - "k, Sy, Ss, kzoverkh = cal.parameters[\"optimal\"].values" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "hm1 = ml.head(xp, yp, td, layers=layer_obswell)\n", - "plt.figure(figsize=(14, 6))\n", - "plt.subplot(121)\n", - "plt.plot(time, ho, \"ko\", label=\"Observed\")\n", - "plt.plot(time, hm1[0], \"b\", label=\"TTim\")\n", - "plt.xlabel(\"time [min]\")\n", - "plt.ylabel(\"Drawdouwn (m)\")\n", - "plt.legend(loc=\"best\")\n", - "plt.subplot(122)\n", - "plt.loglog(time, -ho, \"ko\", label=\"Observed\")\n", - "plt.loglog(time, -hm1[0], \"b\", label=\"TTim\")\n", - "plt.ylim(10, 0.01)\n", - "plt.xlabel(\"time [min]\")\n", - "plt.ylabel(\"Drawdouwn (m)\")\n", - "plt.legend(loc=\"best\")\n", - "plt.suptitle(\"TTim Aquifer Test Analysis in Unconfined Aquifer\");" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": false, - "jupyter": { - "outputs_hidden": false - } - }, - "outputs": [ - { - "data": { - "text/html": [ - "
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$T$ [ft$^2$/day]$S_y$$S$$k_h/k_r$
Lohman (1972)220000.200.3
AQTESOLV229800.150.0081660.25
TTim229500.1565050.006165140.18638
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" - ], - "text/plain": [ - " $T$ [ft$^2$/day] $S_y$ $S$ $k_h/k_r$\n", - "Lohman (1972) 22000 0.2 0 0.3\n", - "AQTESOLV 22980 0.15 0.008166 0.25\n", - "TTim 22950 0.156505 0.00616514 0.18638" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r = pd.DataFrame(\n", - " columns=[\"$T$ [ft$^2$/day]\", \"$S_y$\", \"$S$\", \"$k_h/k_r$\"],\n", - " index=[\"Lohman (1972)\", \"AQTESOLV\", \"TTim\"],\n", - ")\n", - "r.loc[\"Lohman (1972)\"] = [22000, 0.2, 0, 0.3]\n", - "r.loc[\"AQTESOLV\"] = [22980, 0.15, 0.008166, 0.25]\n", - "r.loc[\"TTim\"] = [k * H / 0.0929, Sy, Ss * H, kzoverkh]\n", - "r" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This model is similar to the first model except for the `Well` function. Here, a `DischargeWell` is used and the discharge is evenly divided over all the layers. " - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 0\n", - "No unknowns. Solution complete\n", - "........................................................................................\n", - "Fit succeeded.\n", - "[[Fit Statistics]]\n", - " # fitting method = leastsq\n", - " # function evals = 85\n", - " # data points = 72\n", - " # variables = 4\n", - " chi-square = 0.00629315\n", - " reduced chi-square = 9.2546e-05\n", - " Akaike info crit = -664.837128\n", - " Bayesian info crit = -655.730464\n", - "[[Variables]]\n", - " kaq0_11: 178.350978 +/- 0.96349626 (0.54%) (init = 100)\n", - " Saq0: 0.15341535 +/- 0.00292515 (1.91%) (init = 0.1)\n", - " Saq1_11: 5.4757e-04 +/- 1.3990e-05 (2.55%) (init = 0.0001)\n", - " kzoverkh: 0.20338405 +/- 0.00607389 (2.99%) (init = 0.2)\n", - "[[Correlations]] (unreported correlations are < 0.100)\n", - " C(kaq0_11, Saq0) = -0.940\n", - " C(kaq0_11, Saq1_11) = -0.245\n", - " C(Saq0, kzoverkh) = -0.236\n", - " C(Saq1_11, kzoverkh) = -0.201\n", - " C(kaq0_11, kzoverkh) = 0.200\n", - " C(Saq0, Saq1_11) = 0.122\n" - ] - } - ], - "source": [ - "ml = ttim.Model3D(\n", - " kaq=10, z=zlayers, Saq=Saq, kzoverkh=0.2, phreatictop=True, tmin=1e-4, tmax=10\n", - ")\n", - "Qp = Qw / nlay # deviding Qw over the layers equal\n", - "w = ttim.DischargeWell(ml, xw=xw, yw=yw, rw=0.3, tsandQ=[(0, Qp)], layers=range(nlay))\n", - "ml.solve()\n", - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0_11\", initial=100, pmin=10, pmax=400)\n", - "cal.set_parameter(name=\"Saq0\", initial=0.1, pmin=0.01, pmax=1)\n", - "cal.set_parameter(name=\"Saq1_11\", initial=1e-4, pmin=1e-5, pmax=1e-3)\n", - "cal.set_parameter_by_reference(\n", - " name=\"kzoverkh\", parameter=ml.aq.kzoverkh[:], initial=0.2, pmin=0.01, pmax=1\n", - ")\n", - "cal.series(name=\"obs1\", x=xp, y=yp, layer=layer_obswell, t=td, h=ho)\n", - "cal.fit()" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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$T$ [ft$^2$/day]$S_y$$S$$k_h/k_r$
Lohman (1972)220000.200.3
AQTESOLV229800.150.0081660.25
TTim229500.1565050.006165140.18638
TTim uniform discharge well23055.30.1534150.006575880.203384
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" - ], - "text/plain": [ - " $T$ [ft$^2$/day] $S_y$ $S$ $k_h/k_r$\n", - "Lohman (1972) 22000 0.2 0 0.3\n", - "AQTESOLV 22980 0.15 0.008166 0.25\n", - "TTim 22950 0.156505 0.00616514 0.18638\n", - "TTim uniform discharge well 23055.3 0.153415 0.00657588 0.203384" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "cal.parameters\n", - "k, Sy, Ss, kzoverkh = cal.parameters[\"optimal\"].values\n", - "r.loc[\"TTim uniform discharge well\"] = [k * H / 0.0929, Sy, Ss * H, kzoverkh]\n", - "r" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.8.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/ttim_slugtest.ipynb b/notebooks/ttim_slugtest.ipynb deleted file mode 100755 index 1b50635..0000000 --- a/notebooks/ttim_slugtest.ipynb +++ /dev/null @@ -1,335 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Slug test analysis in an unconfined aquifer\n", - "\n", - "The data is taken from the [AQTESOLVE](http://www.aqtesolv.com/examples/uncslug1.htm) website. \n", - "\n", - "Butler (1998) presents results from a slug test in a partially penetrating well that is screened in unconsolidated alluvial deposits consisting of sand and gravel with interbedded clay. The aquifer has a thickness $H=47.87$ m. The depth to the top of the well screen is 16.7 m, and the screen of the well is 1.52 m long. The radius of the well is 0.125 m, and the radius of the casing is 0.064 m. The slug displacement is 0.671 m. " - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "from scipy.optimize import fmin\n", - "import pandas as pd\n", - "import ttim" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "# problem definitions\n", - "rw = 0.125 # well radius\n", - "rc = 0.064 # well casing radius\n", - "L = 1.52 # screen length\n", - "zbot = -47.87 # aquifer thickness\n", - "welltop = -16.77 # top of screen\n", - "delh = 0.671 # slug displacement in the well\n", - "#\n", - "wellbot = welltop - L # bottom of screen\n", - "Q = np.pi * rc**2 * delh # volume of slug" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "minimum and maximum time: 1.1574074074074074e-06 0.004107638888888889\n" - ] - } - ], - "source": [ - "# loading data\n", - "data = np.loadtxt(\"data/slugtest.txt\") # time and drawdouwn\n", - "time, dd = data[:, 0], data[:, 1]\n", - "td = time / 60 / 60 / 24 # time in days\n", - "print(\"minimum and maximum time:\", td.min(), td.max())" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([0.663, 0.664, 0.656, 0.656, 0.656, 0.656, 0.653, 0.649, 0.649,\n", - " 0.649, 0.645, 0.642, 0.653, 0.648, 0.642, 0.638, 0.63 , 0.627,\n", - " 0.619, 0.619, 0.616, 0.608, 0.605, 0.596, 0.59 , 0.587, 0.579,\n", - " 0.568, 0.56 , 0.553, 0.539, 0.531, 0.517, 0.501, 0.486, 0.469,\n", - " 0.45 , 0.435, 0.413, 0.39 , 0.368, 0.346, 0.321, 0.295, 0.273,\n", - " 0.244, 0.221, 0.191, 0.166, 0.14 , 0.118, 0.099, 0.081, 0.059,\n", - " 0.051, 0.037, 0.025, 0.019, 0.014, 0.008, 0.008])" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "dd" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Flow is simulated with a quasi three-dimensional model consisting of `Nlayers` mode layers. The top and bottom of the aquifer are impermeable.\n", - "The horizontal hydraulic conductivity $k$ and elastic storage $S_s$ are unkonwn. Phreatic storage and vertical anisotropy are not simulated. The variable `p` contains the two unknown parameters. The well is modeled with the `Well` element. The type is specified as `slug`, adn the initially displaced volume is specified as $Q$. " - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n", - "k: [100. 100. 100. 100.]\n", - "T: [ 50. 1627. 152. 2958.]\n", - "c: [1.000e+100 8.385e-002 8.895e-002 1.555e-001]\n", - ".............................\n", - "Fit succeeded.\n", - "[[Fit Statistics]]\n", - " # fitting method = leastsq\n", - " # function evals = 26\n", - " # data points = 61\n", - " # variables = 2\n", - " chi-square = 4.9814e-04\n", - " reduced chi-square = 8.4430e-06\n", - " Akaike info crit = -710.645966\n", - " Bayesian info crit = -706.424219\n", - "[[Variables]]\n", - " kaq0_3: 6.03116199 +/- 0.02473245 (0.41%) (init = 10)\n", - " Saq0_3: 2.1695e-04 +/- 1.0782e-05 (4.97%) (init = 0.001)\n", - "[[Correlations]] (unreported correlations are < 0.100)\n", - " C(kaq0_3, Saq0_3) = -0.652\n", - "k: [6.03116199 6.03116199 6.03116199 6.03116199]\n", - "T: [ 3.015581 98.12700562 9.16736623 178.40177173]\n", - "c: [1.00000000e+100 1.39027935e+000 1.47484017e+000 2.57827596e+000]\n" - ] - } - ], - "source": [ - "ml = ttim.Model3D(\n", - " kaq=100,\n", - " z=[0, -0.5, welltop, wellbot, zbot],\n", - " Saq=1e-4,\n", - " kzoverkh=1,\n", - " tmin=1e-6,\n", - " tmax=0.01,\n", - ")\n", - "w = ttim.Well(\n", - " ml, xw=0, yw=0, rw=rw, tsandQ=[(0.0, -Q)], layers=2, rc=rc, wbstype=\"slug\"\n", - ")\n", - "ml.solve()\n", - "print(\"k:\", ml.aq.kaq)\n", - "print(\"T: \", ml.aq.T)\n", - "print(\"c: \", ml.aq.c)\n", - "cal = ttim.Calibrate(ml)\n", - "cal.set_parameter(name=\"kaq0_3\", initial=10)\n", - "cal.set_parameter(name=\"Saq0_3\", initial=1e-3)\n", - "cal.series(name=\"obs1\", x=0, y=0, layer=2, t=td, h=dd)\n", - "cal.fit()\n", - "print(\"k:\", ml.aq.kaq)\n", - "print(\"T: \", ml.aq.T)\n", - "print(\"c: \", ml.aq.c)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "hm = ml.head(0, 0, td, layers=2)\n", - "plt.figure(figsize=(12, 6))\n", - "plt.semilogx(time, dd / delh, \"ko\", label=\"Observed\")\n", - "plt.semilogx(time, hm[0] / delh, \"b\", label=\"TTim\")\n", - "plt.ylim([0, 1])\n", - "plt.xlabel(\"time [s]\")\n", - "plt.ylabel(\"h / delh\")\n", - "plt.legend(loc=\"best\")\n", - "plt.title(\"TTim Slug Test Analysis\");" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
\n", - "\n", - "\n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - " \n", - "
Kr [m/day]Ss [1/m]
TTim6.031160.000216951
AQTESOLV4.0340.000384
\n", - "
" - ], - "text/plain": [ - " Kr [m/day] Ss [1/m]\n", - "TTim 6.03116 0.000216951\n", - "AQTESOLV 4.034 0.000384" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "r = pd.DataFrame(columns=[\"Kr [m/day]\", \"Ss [1/m]\"], index=[\"TTim\", \"AQTESOLV\"])\n", - "r.loc[\"TTim\"] = cal.parameters[\"optimal\"].values\n", - "r.loc[\"AQTESOLV\"] = [4.034, 0.000384]\n", - "r" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Verify with fmin" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "def sse(p, returnheads=False):\n", - " ml = ttim.Model3D(\n", - " kaq=p[0],\n", - " z=[0, -0.5, welltop, wellbot, zbot],\n", - " Saq=p[1],\n", - " kzoverkh=1,\n", - " tmin=1e-6,\n", - " tmax=0.01,\n", - " )\n", - " w = ttim.Well(\n", - " ml, xw=0, yw=0, rw=rw, tsandQ=[(0.0, -Q)], layers=2, rc=rc, wbstype=\"slug\"\n", - " )\n", - " ml.solve(silent=\".\")\n", - " hm = ml.head(0, 0, td, 2)\n", - " if returnheads:\n", - " return hm\n", - " se = np.sum((hm[0] - dd) ** 2)\n", - " return se" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - ".......................................................................................Optimization terminated successfully.\n", - " Current function value: 0.000497\n", - " Iterations: 40\n", - " Function evaluations: 87\n", - "optimal parameters: [6.03379199e+00 2.15056769e-04]\n", - ".sse: 0.0004971940749116752\n" - ] - } - ], - "source": [ - "popt = fmin(sse, [3, 1e-4])\n", - "print(\"optimal parameters:\", popt)\n", - "print(\"sse:\", sse(popt))" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/well_example.ipynb b/notebooks/well_example.ipynb deleted file mode 100644 index 09930fc..0000000 --- a/notebooks/well_example.ipynb +++ /dev/null @@ -1,782 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Theis" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "from scipy.special import exp1\n", - "\n", - "\n", - "def theis(r, t, T, S, Q):\n", - " u = r**2 * S / (4 * T * t)\n", - " h = -Q / (4 * np.pi * T) * exp1(u)\n", - " return h\n", - "\n", - "\n", - "def theisQr(r, t, T, S, Q):\n", - " u = r**2 * S / (4 * T * t)\n", - " return -Q / (2 * np.pi) * np.exp(-u) / r" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "T = 500\n", - "S = 1e-4\n", - "t = np.logspace(-5, 0, 100)\n", - "r = 30\n", - "Q = 788" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "htheis = theis(r, t, T, S, Q)\n", - "Qrtheis = theisQr(r, t, T, S, Q)" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=S / 20, tmin=1e-5, tmax=1)\n", - "w = ttim.Well(ml, tsandQ=[(0, Q)], rw=1e-5)\n", - "ml.solve()\n", - "h = ml.head(r, 0, t)\n", - "Qx, Qy = ml.disvec(r, 0, t)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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duwkL0zr0geJIzz5EpWwm/unvfUcRyTZyS90+15qti9HIOclfPD+tVr7D118ksaa30eWizbzbewHNXr7SdzTJpqKiokhISCAxMdF3lCwRFhZGVFSU7xiSpuGzXdnxahkSPplK4+e7+I4jki3kprp9LjXbS5NtZsWAL4AKwCbgGufcr3/ZJxr4H1AISAGed859kbVJ5UyuvDaUeo1gQZP/0Gzg/5g6rg9NZgwkb6G8vqNJNhMaGkrFihV9x5BcKiQshE8fXsKDL0awZi1Ureo7kUjgU90+PV/TRfoBk5xzVYBJaY//6jBws3OuFtABeN3MimRhRkmnihWhy4bXiWtwP62XvcWGyBZsifvJdywRkbNy470RhIbCO28c8x1FRHIAX012V2Bo2v2hQLe/7uCcW+ucW5d2fzuwEyiRZQnlrOQpmIfY+FeY+8g3lP5tPYUvrs+0l+f6jiUikm6lSsG7dd7i34MqcGTvEd9xRCSb89Vkl3LO7QBIuy15up3NrBGQB9iQBdnkPDR+oSsH4hYyu2hHOj1Uk4cfhmQtPiIi2cRF11Yn0u1g4RPf+I4iItlcpjXZZjbRzJafZOt6lseJBD4GbnXOpZ5mv15mFm9m8blhAn4gK9uqIrHbP+XGO8J586XD/FC2NzuX/uw7lojIGUXf34aE4HLk/eRD31FEJJvLtCbbOdfOOVf7JNto4Je05vn3Jvqklw80s0LA98Bjzrk5Z/i8wc65GOdcTIkSmlXiW1gY/O9/8M0Ti2j783BcvXosHTTDdywRkdMKCglifYtbqbdnIgkzN/uOIyLZmK/pImOAHmn3ewCj/7qDmeUBRgHDnHNfZWE2yUCXPN2cbSPm8FtwQWr+K5apV7yOS83Z62mKSPZW+blbCMKx/vGhZ95ZROQUfDXZA4D2ZrYOaJ/2GDOLMbP30/a5BmgF3GJmi9O2aD9x5XxUvaoORdfHEx95Oa2/uY9RdZ/k0CHfqURETi6qRQVerTGYp9ZeT+opJymKiJyelybbObfbOdfWOVcl7XZP2vPxzrmeafeHO+dCnXPRJ2yLfeSV81e4XGEabRnJpMte5uGVPWjSBNav951KROTkIh+/nanbKhMX5zuJiGRXuqy6ZJmgkCDa/vAgg8ZVYvs2x4xavZj/9A++Y4mI/E23btCtwAS29BvkO4qIZFNqsiXLtW8PCyfvpUnwfBo81Zm4ds+RmqzfyYpI4MiXD+6P+pLu8x/i0E7NbxORs6cmW7woH12UcltmMrvC9cROepy55a/mwPYDvmOJiPwh/M4bKcghFj8zxncUEcmG1GSLN/mL56fZho+Z2u01Gm4fzaoql7N+nVYeEZHAUPdfLdkWXJY8Xw73HUVEsiE12eKVBRmtR/Vl6cvjeT74SRo2MsaN851KRM6FmV1tZivMLNXMYnznOV9BIUGsa3gD9RLHkbjipJdzEBE5JTXZEhDqP9iG15dcTLlyMPWyF4nrPFDraYtkP8uBK4FpvoNklKiHb2AbZYj7YIPvKCKSzYT4DiDyu4oVYeYMx5Kai2n+/ZfMrLSY+gveI1+xfL6jiUg6OOdWAZiZ7ygZpnK32tSru5E8M4O42ncYEclWNJItAaVguNFs8+fEtX2W5ps+YWPZVuyI3+Y7lohkMDPrZWbxZhafmJjoO85p3XBTEAvmJbN+8UHfUUQkG1GTLQHHgozYiY8x95FvKHt4NamNmzIv7rDvWCICmNlEM1t+kq3r2RzHOTfYORfjnIspUaJEZsXNENd3PcRWypJw/6u+o4hINqImWwJW4xe68vPXs3ml2PO06pCfjz/2nUhEnHPtnHO1T7KN9p0ts5SuUoBfClel7MzPda6IiKSbmmwJaFWuqE3/1TfRtCmMuHk0cY0eIuVYiu9YIpLL7OtwLZWOrWLdqOW+o4hINqEmWwJeRASMHw99omcSO/9lFkZ1YX/Cft+xROQvzOwKM0sAmgLfm1mOWZCz5uPdSSGI7a9+7juKiGQTarIlWwgNhfaLXmLaPwZRL3EcOys3ZUvcT75jicgJnHOjnHNRzrm8zrlSzrlLfWfKKCVqlWRxsTZUnPeFpoyISLqoyZZspdVnd7Js4Hgiju2gQJtGzP4qwXckEckldtz+JLckv8fChb6TiEh2oCZbsp16D7Rh/4R5DI/oS6vryvDee74TiUhu0OyhFswIuZjPv8g564CLSOZRky3ZUvm2lemx7jHatjP+22s5E2P66YRIEclUxYrBbc1WUWbwk6Qmp/qOIyIBTk22ZFtFisB338GApmNot+A/LIy6XCdEikimurFGPH33P8OKD+f6jiIiAU5NtmRrISHQedajTLv+HaITJ7CzclO2TtvoO5aI5FB1Hu3CUfKw+92vfEcRkQCnJltyhFaf9Gb5wHFEHNtBvthGLBi+ynckEcmBCpcrzJKSl1BlyQhNGRGR01KTLTlGvQfasHfsHOLCL6f1PyvpCpEikimOdb2aMilbWTlknu8oIhLA1GRLjlLx0qq02fghjVrkoe/NuxnbdqBGm0QkQ9Xp34WdlGDx11qrX0ROTU225DjFisG4cTCoycdcNvnfzK1wDYd3HfYdS0RyiMLli9Cz4w76r7gep+vSiMgpqMmWHCk0FK6ZeS9xXV6h8bav2VS+Nb8s3uE7lojkEFddE8yWLTB/5jHfUUQkQKnJlhzLgozY0fcT/9hoyh1eRUpMI1aPXOE7lojkAF07p7CIehzu+6jvKCISoNRkS47X6NnL2fb5DLYGV6TjzcX59lvfiUQkuysSEUxSidJUXjwCl6o5IyLyd96abDMrZmYTzGxd2m3R0+xbyMy2mdlbWZlRco5q10ZTbuNUImqW4qouSXzf40v9j1FEzsvRLlcTlbKZVcMX+I4iIgHI50h2P2CSc64KMCnt8ak8C0zNklSSY0WWNqZOhf/WG0KnYdcyvc6dJB1O8h1LRLKpWo90IYkQdg4a4TuKiAQgn012V2Bo2v2hQLeT7WRmDYBSwPgsyiU5WP780HvebUxp0o9WK99ladlO7Nuyz3csEcmGilYqxpKItlRcoCkjIvJ3PpvsUs65HQBptyX/uoOZBQGvAP8+08HMrJeZxZtZfGJiYoaHlZwjKCSIi2e/yPRbP6TunikkVm1GwoxNvmOJSDb0y00P8kjyMyxZpPX4ReTPMrXJNrOJZrb8JFvXdB7iLuAH59zWM+3onBvsnItxzsWUKFHi/IJLrtDyw1tZ/sp48h3bT48uvzJnju9EIpLdNHq0HV8EXc/Ib4J9RxGRAJOpTbZzrp1zrvZJttHAL2YWCZB2u/Mkh2gK9DGzTcBA4GYzG5CZmSV3qXf/xRxasp7Nxepx8cUw/uUlviOJSDZSogRc3WQr9t5gTRkRkT/xOV1kDNAj7X4PYPRfd3DO3eCcK+ecqwA8CAxzzp3uBEmRs1a1Tl7mzIEHyo/gkoeiibv0Rf3PUkTS7a5y3/HML73Z8O1K31FEJID4bLIHAO3NbB3QPu0xZhZjZu97zCW5UPHi8Niczswsfz2x4x9lRvXbOHZQV3ITkTOr/sgVpGIkvK5VRkTk/3lrsp1zu51zbZ1zVdJu96Q9H++c63mS/Yc45/pkfVLJLcKKhNHsp+HEtXqClus+YkXZDuzd+KvvWCIS4ErWvYBlhVpQZraabBH5f7rio8gJLMiInfo0M3oPo8beWTzScgY//eQ7lYgEur3tulPl6HJ+GrvGdxQRCRBqskVOosU7N7F4xAa+/O1ymjSBeeM0oi0ip1a135UkEcKyj+b7jiIiAUJNtsgpNLmqDLNnQ9s806neoTyz7vvSdyQRCVCRDaPo2HAXT6+/0XcUEQkQarJFTqNqVXhrUg02hdel2evXauURETmly/5RmEWLYMMG30lEJBCoyRY5g4hqxam6ZSIzy193fOWRGreTdDjJdywRCTBXdTrCJNqw5d5XfEcRkQCgJlskHY6vPPIJU1o8Tsu1H/DfmI/Zu9d3KhEJJOWrhXFB/gOUjPvCdxQRCQBnbLLNLMzMupvZf83sKzMbZmYPmVmtrAgoEigsyLh4+jP8+PAUHll7K82bw+aNqb5jiZwT1fbMsbP11dQ6NJ+EmZt9RxERz07bZJvZU8BMjl/efC7wLvAlkAwMMLMJZlY3s0OKBJIOA2IZN94I2foTh6pGs3KoVhOQ7EW1PfNUfPAqANYP0JrZIrldyBlen++ce+oUr71qZiWBchkbSSTwtWkDX392jNBuByl+S2vmrPyEJv+5wncskfRSbc8k5dtUYlW+ekTEjQAe8B1HRDw67Ui2c+77M7y+0zkXn7GRRLKHSp2qk2/xHH4qUJdGL11FXNdXtfKIZAuq7ZlrXef7+fDgNWzdonogkpul68RHM4sxs1FmttDMlprZMjNbmtnhRAJdiVoluXDTZOaWuZLYMQ/wadv3SU72nUokfVTbM0fNF27kde5jxEjzHUVEPDrTdJHffQL8G1gG6EwvkRPkL56fxpu+ZPQlb9JryvV81g0+/xwKFvSdTOSMVNszQeXK0KLOPrYNngH3dfIdR0Q8Se8SfonOuTHOuY3Ouc2/b5maTCQbCQoJouvkexk4qADTfzjAlPI9+Hnhdt+xRM5EtT2TPFvqLQau7sz2uVt9RxERT9LbZD9pZu+b2XVmduXvW6YmE8mG7rwTxr6yktg9X5PaqDFrRy7zHUnkdFTbM0mFf18NwLoBIz0nERFf0ttk3wpEAx2Ay9O2zpkVSiQ7a3ZfY7Z/Ph1zjgu6Nyf++XG+I4mcimp7JqlwSVXWhNWl6KSvfEcREU/SOyf7IudcnUxNIpKDVLs2mh0XzmFHq85EP9aJiZs/pd3ga3zHEvkr1fZMtKPFNcROfIwd8xOIbBjlO46IZLH0jmTPMbOamZpEJIeJbBhF6Q3TmVLmRm57rzH9+kGqTi2TwKLanonKP3h8ysjSVyd4TiIiPqS3yW4BLDazNVrmSST9wkuHc/GmIXS8ozwv/SeVoQ3e4MjeI75jifwuQ2u7mb1sZqvTjjXKzIpkYNZsp+KlVelSYx1PbrzVdxQR8SC900U6ZGoKkRwsJAQGDYJWbjrXvXsvS8t9SZn53xBRrbjvaCIZXdsnAI8455LN7D/AI8DDGfwZ2UqzmyvzyCOwaRNUqOA7jYhkpdOOZJtZQYATl3b66zJPv+8jIqdmBte905rZ931J1QPxHKjTlE0T1vmOJblUZtV259x459zvl2OaA+T6icjXXJHEcG5gXd+3fEcRkSx2pukio83sFTNrZWYFfn/SzC40s9vMbBwa5RZJt6avXs26dyZTMHkv4Zc2Zen/ZvqOJLlTVtT2fwJjz/MY2d6F1UKJLrCOqPEf+Y4iIlnstE22c64tMAnoDawws31mthsYDlwA9HDOjcj8mCI5R53ezTg0cQ6JoaW5795UvvjCdyLJbc6ntpvZRDNbfpKt6wn79AeSOX5FyZMys15mFm9m8YmJiRn59QLOrjbXUuO3hWyetN53FBHJQuac850hw8XExLj4+HjfMUROa/fOFLpdFcyMGTDsztnc+FYTLMh8xxLPzGyBcy7Gd45zZWY9gDuAts65w+l5T06v2dvnbqV0k3LEtXuO2An9fccRkQx0upqd3tVFRCSDRZQMZsIEeLLNdG76XzOm17qD5CPJZ36jSIAysw4cP9GxS3ob7NygdOOyLA1vTukZ+rWVSG7ipck2s2JmNsHM1qXdFj3FfuXMbLyZrTKzlWZWIWuTimSusDB4Ylxz4po9SqvVg1lU9nIObD/gO5bIuXoLCAcmmNliM3vHd6BAsaPbnYw6chkrFif5jiIiWcTXSHY/YJJzrgrH5wX2O8V+w4CXnXM1gEbAzizKJ5JlgkKCiJ35PNNvfo96uyawvVJLdsxP8B1L5Kw55yo758o656LTtjt8ZwoU0S/fwKNB/+GzEaG+o4hIFjnTEn7FTredx+d2BYam3R8KdDvJZ9cEQpxzEwCccwf160fJyVoO7cmSF34g8shP/OeSSSxZ4juR5FSZWNvlFEqVgkvaJLPxg8m41Jx3LpSI/N2ZRrIXAPFpt4nAWmBd2v0F5/G5pZxzOwDSbkueZJ+qwF4z+9rMFqVdSSz4PD5TJOA1eOQStk5cy4gCPWjRAiaP2OM7kowgoNwAACAASURBVORMmVXb5TQevfBzPvm5LSs+nOs7iohkgTMt4VfROXchMA643DlX3DkXAXQGvj7de9OzzNMZhAAtgQeBhsCFwC2n+bxcsxyU5Gy12l7A3LnQMXIRDa6uyPQe7/uOJDnM+dR2OXcXPd6FI+Rl9xunXNlQRHKQ9M7Jbuic++H3B865sUDr073BOdfOOVf7JNto4BcziwRIuz3ZXOsEYJFz7qe0K4h9A9Q/zecNds7FOOdiSpQokc6vJRKYypSB96dUYl3xprQcdjtxzfuTmpzqO5bkPGdd2+XcFYoqxKIyl1Nz+RdaSUgkF0hvk73LzB4zswpmVj7tQgO7z+NzxwA90u73AEafZJ/5QFEz+71jbgOsPI/PFMlWwssUInrLt0yr3ovYWS8wu/KNHN1/1HcsyVkyurbLGQTddAMlXCKLX5nkO4qIZLL0NtnXASWAURwfUS6Z9ty5GgC0N7N1QPu0x5hZjJm9D+CcS+H4VJFJZrYMMOC98/hMkWwnJF8oLVe8Q1yHATTf/BmD6w1it1ogyTgZXdvlDKIfuYy9FGHvx2N8RxGRTKYrPopkE1OemEKnAS0pWzGEsT84Lqykq0PmRNn9io/nIrfV7Me6r+bNH6uw/ZdgChTwnUZEzsd5X/HRzEqkre7xg5lN/n3L2JgicjoXP3Mx4yeHELxzB/uqN2L5B1qhQM6Parsf7e+uzv5DwXzzje8kIpKZ0jtd5BNgNVAReBrYxPE50yKShVq0gO++OEQx9lCpZyxzHh7lO5Jkb6rtHrRsCc8XHUipf9/sO4qIZKL0NtkRzrkPgCTn3FTn3D+BJpmYS0RO4cJLKlNg6RzWF4ym0UtXEdftdXLgrC/JGqrtHgQFQbPa+2mzYzg74rf5jiMimSS9TXZS2u0OM+tkZvWAqEzKJCJnULxGCSpvnsy80lcQO/o+Rlz8NikpvlNJNqTa7kmFx28iCMeaJ7RmtkhOld4m+zkzKww8wPEVP94H7su0VCJyRvmK5aPRpi/5rsUAek29niuvhEOHfKeSbEa13ZMK7auwLLwpUZOH6jLrIjlUupps59x3zrl9zrnlzrmLnXMNnHNaf0jEs6DQYDpPf5hn3yzKhG+P8P2FfUhc/ovvWJJNqLb79evlPah8dCWrP13oO4qIZIL0ri5S1cwmmdnytMd1zeyxzI0mIunVpw/8+NJSOu/8kCP1mrDhu1W+I0k2oNruV93nrmF40M2M+jGf7ygikgnSO13kPeAR0ubvOeeWAv/IrFAicvZaPdiITUOmEpZymIguzVj836m+I0ngU233qEjFonzbfSivjK3JUV3MVSTHSW+Tnd85N+8vzyVndBgROT81ezTkSNwcdodGUrNve6b1/dp3JAlsqu2e3XYblN6zjKmvacqISE6T3iZ7l5lVAhyAmXUHdmRaKhE5Z2VbVSRi9UzmFO9M7//W4Pnn0RJ/ciqq7Z61a5PK2ODORLzcz3cUEclg6W2y/wW8C1Q3s21AX+DOTEslIuelSMWiNE74mgY31OCxxxwfXDycpMNJZ36j5Daq7Z4FhQSxvsWt1NszkYSZm33HEZEMlN7VRX5yzrUDSgDVnXMtnHObMjWZiJyXvHnh44/hvZum03PqTSwp15n9Cft9x5IAotoeGCo/fysA6/t/5DmJiGSkkPTsZGZ5gauACkCImQHgnHsm05KJyHkzg57DWjE96H2aDu3NhiotOTTteyIb6nojotoeKKKalyc+oj2VZ3xEyrHHCc4T7DuSiGSA9E4XGQ105fgJMYdO2EQkG2g55DaWvPADkUc2QpMmrPlyie9IEhhU2wPEsZtuo0jKbmZ/tNp3FBHJIOkayQainHMdMjWJiGSqBo9cwppK08l/fVceuyWB24tcxCWX+E4lnqm2B4gGz3Sj2rDLaDA+nBa9facRkYyQ3pHsWWZWJ1OTiEimq3bNRdjq1ayt0omOHWHk8xo1y+VU2wNE3vA8XHNbOKO/cWzbeMx3HBHJAKdtss1smZktBVoAC81sjZktPeF5EclmoiqHMX063F1/Jt0eq0Vci8dwqVrjLzdRbQ9Md9xyhHmpDVh36wu+o4hIBjjTdJHOWZJCRLJUoULwUlwjZtb/J7Ezn2dmpU3ELPmAvIXy+o4mWUO1PQBdWDOM+cVLUW36eyQd7k9o/lDfkUTkPJx2JNs5t/l0W1aFFJGMF5o/lJYrBxPX7jmab/qEVeUuZe/GX33Hkiyg2h643B13EZm6nQVPfes7ioicp/TOyRaRHMiCjNgJ/Zl553Bq7JvN682+ZNMm36lEcq8Gj3ckIbgced4f5DuKiJwnNdkiQvNBN7B46FL++1svmjSBBTOP+I4kkisF5wlm/cW9qP/rJH4au8Z3HBE5D2qyRQSAxjdXY9Zso3bwKi5oWZl5j+vX1SI+1HqtJz2DP+KNMRV8RxGR86AmW0T+UKMGfDauGPvyRdLguW5MveZt35FEcp0StUuRctMtvDcsL7/qNAmRbEtNtoj8SYnapSi/MY74Up1o/VUf4mIeJDU51XcskVzl3nscvQ+/ytw7PvIdRUTOkZpsEfmbAiULELNlFFPr9CF2wSt81PBtfvvNdyqR3CO6nnFTkW+pPfIpko8k+44jIufAW5NtZsXMbIKZrUu7LXqK/V4ysxVmtsrM3jAzy+qsIrlRcJ5gWi1+g+9v+JR/Le5Fu3awa5fvVCK5x7E7+xKVsoX5j47yHUVEzoHPkex+wCTnXBVgUtrjPzGzZkBzoC5QG2gItM7KkCK5mQUZnYZfxycj8rIh/leWlO/C5knrfccSyRVinurM5pBKFHzvNd9RROQc+GyyuwJD0+4PBbqdZB8HhAF5gLxAKPBLlqQTkT9cdRX8+O5mon+bRcH2TVg2eLbvSCI5XnCeYDZ1uYc6B2ez7N1ZvuOIyFny2WSXcs7tAEi7LfnXHZxzs4EpwI60bZxzbtXJDmZmvcws3sziExMTMzG2SO4UfUs0B8bN5kBIUSr3bsOcB0f4jiSS48X87zbGhnbho090iXWR7CZTm2wzm2hmy0+ydU3n+ysDNYAooAzQxsxanWxf59xg51yMcy6mRIkSGfclROQPFdpXIXzZbNaF16fRK9cw9obhOOc7lUjOVaBkAeb1H81r0xuyfLnvNCJyNjK1yXbOtXPO1T7JNhr4xcwiAdJud57kEFcAc5xzB51zB4GxQJPMzCwipxdRrThVNk3kx0p9+OenbbnnHkhJ8Z1KJOe6+26olG87U+/4zHcUETkLPqeLjAF6pN3vAYw+yT5bgNZmFmJmoRw/6fGk00VEJOvkK5aPDmvf4IYHIvnfW8l8WvsFDu085DuWSI5UrBi8X/NVes+8ia3TNvqOIyLp5LPJHgC0N7N1QPu0x5hZjJm9n7bPCGADsAxYAixxzulazyIBICgIBg6Er+6ZwfWrH2dzxVgSl+u85NzMzJ41s6VmttjMxptZad+Zcopq/+tLKkH89K+BvqOISDp5a7Kdc7udc22dc1XSbvekPR/vnOuZdj/FOdfbOVfDOVfTOXe/r7wicnJX/DeWBY99Q/nDKzlSrwkbvtMvm3Kxl51zdZ1z0cB3wBO+A+UUkQ2jmFOtB42Xf8CO+G2+44hIOuiKjyJy3ho9ezmbh04lb+pvRHRpxuI3p/uOJB445/af8LAAx5dhlQxScfCjBJPC2n8O8B1FRNJBTbaIZIiaN8dwbOoctuatzJ335+PTT30nEh/M7Hkz2wrcgEayM1TZVhWZVeM2Nq04yNYt+vlFJNCpyRaRDBPVogJR2+aRt3kMN9wAn/ScgktVM5CTnGlpVudcf+dcWeAToM9pjqNrG5yDij8M4vbgj3jhRfMdRUTOQE22iGSoosWMcePghYsncMMHbZheqzdJh5N8x5IMcoalWU/0KXDVaY6jaxucg3IVgrj9dpj7/jK2zk7wHUdETkNNtohkuLx54eHxbYlr9iitVr/H4vJdOLD9gO9YksnMrMoJD7sAq31lyckevfNXZiQ3ZlOPJ31HEZHTUJMtIpkiKCSI2JnPM/3m96i3awLbKrfi54XbfceSzDUgberIUuAS4F7fgXKiMrWLMq/+HTRbN4R1o3QZSJFApSZbRDJVy6E9Wfzsd5T+bQNPXTKLZct8J5LM4py7Km3qSF3n3OXOOa01l0ku+vIxDlgh9vZ+yHcUETkFNdkikuliHuvA5kkb+DZvd1q0gGlf7/IdSSRbK1qpGIs79qdh4lgWvjzJdxwROQk12SKSJeq0KcGcOXB58dnUv6oCM3oO8R1JJFtrMrwP60Jr8P2bP5Ga6juNiPyVmmwRyTJly8LbU2qyplhTWnxwK3GxT2mJP5FzFFYkjPgPlvLE1tv5+GPfaUTkr9Rki0iWKlyuMHW3/sD0yrcQO/VpZla9lWMHj/mOJZItXXtDCI0bOSbdO4Z9W/b5jiMiJ1CTLSJZLjR/KC3WfEjcxU/TYsNQ3m44hH3qD0TOWlAQvPfvtQzZ143F3Z7yHUdETqAmW0S8sCAjdvIT/PjwFB5e15PmzWHLZk0dETlbdbpXY0aNXjRf9CZrR2r5HpFAoSZbRLzqMCCWseOCsM2b2Fe5Aas/W+Q7kki2U3v08+y3why+rY/OcxAJEGqyRcS7tm3h6+GHKeZ2EXV9S+Y/M9Z3JJFspViVCJbfOIDofdOY2Wuo7zgigppsEQkQVbrWJHjeHLbmq0q9Jy9n2o2DfUcSyVZafHgbcRFX8u5nhdixw3caEVGTLSIB44L6pYlaP5VFxdvT6pPefHX5MK3/K5JOQSFBlJ41khGpV3LXXeA0a0TEKzXZIhJQwkuHU2/rt4xq+AK3fnclN94IR4/6TiWSPVStCs88mULFb15l1oMjfccRydXUZItIwAkJC6Hb3Ed4fEBBRn92iO8v7MOvG/b4jiWSLdzX19Ez/2dUfe1OEpf/4juOSK6lJltEApIZPPwwfPv4fDptf489NZuzddpG37FEAl5IWAh5Ph1CuNvPpjb/1GojIp6oyRaRgNbmmVhWvzGBYkm/EBbbhJVD5/uOJBLwKnetxdzuA2mY+APTrn3bdxyRXElNtogEvIvubsWv383it+AClL8lltlPj/cdSSTgtfriX8wr2YmYEQ+zctou33FEch012SKSLVzYsTr5Fs1mYeE23Ph0Fd7W4JzIaVmQUXHyh9xQdCxX31mcgwd9JxLJXdRki0i2UaJ2Kepv+5Y6XSpyd59UPun0CanJWuNP5FRK1CpJny9bsXo1PH/lAs3PFslCXppsM7vazFaYWaqZxZxmvw5mtsbM1ptZv6zMKCKBqUABGDkS3un8PTf8cCNzK1zLb3t+8x1LJGC1awdDbp/J8xMaMvXK133HEck1fI1kLweuBKadagczCwbeBi4DagLXmVnNrIknIoEsOBhuH92ZuK6v0njbSNZVaMfuNZpzKnIqNw5qxrzIbrQY/W8W/3eq7zgiuYKXJts5t8o5t+YMuzUC1jvnfnLOHQM+B7pmfjoRyQ4syIj95j7mPvgVVQ4s5ECdpmyetN53LJGAZEFGzXlD2JynCuXuu5JNE9b5jiSS4wXynOwywNYTHiekPSci8oemL1/F+ncnkzflMPdcmcDs2b4TiQSmQlGFCBn7HakEQaeO7NqkMyFFMlOmNdlmNtHMlp9kS+9otJ3kuVOesWFmvcws3sziExMTzy20iGRLdXo15fCS9awsGUubNjDuLY3SiZxM+TaV2PHOGN5IvZuuNxTkyBHfiURyrkxrsp1z7ZxztU+yjU7nIRKAsic8jgK2n+bzBjvnYpxzMSVKlDif6CKSDVWqnY/Zs+HOij/S7u7qxHV7TSspiJxEnV5Nafb5PcyaBQ90XEXS4STfkURypECeLjIfqGJmFc0sD/APYIznTCISwIoXh+dntGZemSuIHX0/0+rdS8qxFN+xRAJO9+7w4Qs/8+KUxsyvcbP+nYhkAl9L+F1hZglAU+B7MxuX9nxpM/sBwDmXDPQBxgGrgC+dcyt85BWR7CNfsXw03vQlcQ0eoPXSN4kvfxWHdx32HUsk4Nz6yAUsvOwxmm35nFm1e2nNeZEM5mt1kVHOuSjnXF7nXCnn3KVpz293znU8Yb8fnHNVnXOVnHPP+8gqItlPUEgQsfEDmdr9TWJ+/pbnGn/LL7/4TiUSeGJ/eIi4Vk/Qct2HzKxxm0a0RTJQIE8XERE5L62/6sPUN5fx+o5radoUVi895juSSMBpPeUp4mKfouX6IQxp8j+O6Z+JSIZQky0iOVqbPjWZOhUu3LuQgtGVWfLWdN+RRAKKBRmxU55kdI+vuWNRb664Ag4d8p1KJPtTky0iOV7DhvDRN0U5Fpqf6ne3Y9Y9n/uOJBJwug65grffDSV+bCJzoq7i54WnXNBLRNJBTbaI5AplW1Wk6MpZrCrchGZvXkfcZf/REn8if9GrF3zz4ioa7R1PaqPGrPlyie9IItmWmmwRyTWKVipGjS3jmVnuOmJ/7MdH7T8lOdl3KpHA0vThVmz/YgbmHFHXNmPmncN9RxLJltRki0iukrdQXppuGM6Ijh/Se/I1dO0KB3V1aZE/qXbNRQQtmM+6QjE0f+cmPm81iKNHfacSyV7UZItIrhMUEkT372/lrXdCWTj2F+ZFXckvizT/VOREpaIjqfXzJH5s/ix9pl9D06awYrmmWImkl5psEcm1eveGrwesodG+8SQ1bMr60brelciJQvOF0GHGY3w4ujg7tiazq24b4rq9pgvXiKSDmmwRydWaPtSKhE+nE+KSKNGtOYtemew7kkjA6dIFlsw6RL4SBYkdfT/Li7Vk3ajlvmOJBDQ12SKS61W/rh4pM+awM28UtR7swKQHfvAdSSTglKxSmIY7xjCj5xDKHFxDhSvrEdf0EQ7uOuI7mkhAUpMtIgKUaVqOkmtmMCGyB9e82phnnwWn6acif2JBRov3esCq1cypfCORc76mVp0gPvoIUnRFdpE/UZMtIpKmcPkitN/0Hp1vjuC5J47yZaOBJB1O8h1LJOBEVCtOy3Uf8ev4eEpXyEOffx5idtHLmPvoaK0/L5JGTbaIyAny5IEhQ2Do1d9zbfy/WVq2E/sT9vuOJRKQmrQPZ9YsGPnST0QdWU/jF7uxumAMcx8drZMjJddTky0i8hdm8I8vr2T6rR9Sd88UdlRpyY75Cb5jZRtm9qCZOTMr7juLZD4z6PDvOkTtX8WMnkPIn7SPxi92Y3P+Gnz0yh4OH/adUMQPNdkiIqfQ8sNbWfriD0Qe2QhNmrDmq6W+IwU8MysLtAe2+M4iWSskLIQW7/WgzIHVzOr7BQuLXMw/HyxGmTIw7NJPWD9mpe+IIllKTbaIyGk06Neen7+awb6gotx0SzDjx/tOFPBeAx4CNDE3lwoJC6HZa9dw5S/vMG0adGn/G13G/4vKXWuxvGBjpl79FrvX7PIdUyTTqckWETmDqt3rEv7TEo5VqUXHyxzfPTrLd6SAZGZdgG3OuSXp2LeXmcWbWXxiYmIWpJOsZgYtW8LQL/ORvHIdcZ1eJjTlCK1H3E2h6pG8XHsI774Lv/ziO6lI5lCTLSKSDmXKBjFtGjxd5ys6v9icuJaP58pVFMxsopktP8nWFegPPJGe4zjnBjvnYpxzMSVKlMjc0OJd8RoliP3uQar9toS1Xy1hZpMHmXygEXfcAbdd8B0rCjYirvWTLBs8m+Qjyb7jimQIczlwIdiYmBgXHx/vO4aI5EBJh5OYXf8uWq15nxkVb6TR0g/IUzBPhh3fzBY452Iy7IBZxMzqAJOA309ziwK2A42ccz+f7r2q2bmTc7B8OSx/eSy1Rz1LrYNzCMKxn3BWl2zFrH99SqN2hWjQAPLm9Z1W5OROV7NDsjqMiEh2Fpo/lJYrBxN3aQViJz7GorIJVFw0iiIViviO5pVzbhlQ8vfHZrYJiHHOafKtnJQZ1KkDdYZdBlzG7jW7WPvuFJLGTabgT0u578lweBLeC+pNk3yL2X1hQ4IbN6R4u2gu7FQjQ3+4FckMarJFRM6SBRmxE/oz887y1H/ndu5pNZfHpl9K+fK+k4lkXxHVitP01auBqwH4+ReYNQtCXq9C8pI11F82lPBlb8P7sIh69KizkFq14B9Hh1CyQgGKNalKVGxlCpQs4PeLiKTRdBERkfMwa+QOOvWMJCwMxn62l+jY8xvRzq7TRc6HarakR8qxFDaNX8sv45ewaYvxSdK1rFoFczaWpCT/f/LsL0EXMD6yB+MvHkD58tB26xAKVipF4ZpliKhTmmJVIrAg8/hNJCfRdBERkUzS7KpIZtaAFy6eQIWLr2b+k5/Q8KlOvmOJ5DjBeYKp1LkGlTrXoBlwfdrzh3ZuZM2UdeyZu46jS9cQvOUndlOOadMgMeEoz6Xe+qfjHCUPgwo9wqdVn6Js8d+4b/1dpBQtAcWLE1wygjyREXDRReSrWZEi4SkUDj5IeOlwgkK0VoScHTXZIiLnqWZNeHVCHbY3rUz9p7swbc1btPrsTt+xRHKFAiULUO3aaLg2+o/nWgJ9gZTkPOxYtJVdi7ZycM02jm3ajkvYBuENiQiBgwl7qbRxIsXWJxLG0T/e/wADeZUHqMIG1lKNVIx9hHM4KJzDIYUYXPZZ5pe7isq2gVvW9yclrACpYQVw+fJDvnxsqH81hyvUpOiRHVTYMJGgfHkJzh9GcP68hBTIy7HqdQkuUYy8R/eTf+92gsNCCS2Qh5B8oYTkCyW4WGFC84UQEpRKSKgRFKyR9+xITbaISAYoWfcC8m+IY8FF19Hq87v45FAxrvvmWoI0+CXiTXCIEdkwisiGUX96Pha4D4BIYCsu1XFw5yH2btjNgU27uSL0ApoFw+EtxYibPBD27cMO7Cfo0AFCDu/HihUlKQn2/bKfyB0LCUs5TD53iDD3G2Ec5Y24OoyiJpewlHHc/Ldcl/Ij47mUK5nASLr/7fVmzGQ2zejBMIZwK6kYyYSQQjDJhHBJ+BzW5anFTcc+4OFDj5NqwaQSRKoF4wjiprJxJOaN4pp973HDr2/iCCLVgnAWBBh9qk/ktzyFuXLnO1yaOBxn9sdrzoyHLhqPCwmlW8JbNE0cgzP747XkoDw822A0ZtBt42tctHsywPF9zDgcUoj/Nvj4+OvrXqLanjnHz3JNszesFB/UHwTAVaueo/y+pWnHP253/nJ8Ev0yAFcvf4LIA+v+//jAz+FVGFnnaQCuW/wwxQ4n/OnPbkvRunxf62EAbozvS/jRXX96/8aIhoyvfg8At8y9k7wphwCYVPUu+n7ehMKFT/536Vx4abLN7GrgKaAGx5d3+ttkvLRL8w4DLgBSgcHOuf9mZU4RkbNR8IKC1N88iq/avc3Q/VdwdTLk0QIIIgHPgoyCFxSk4AUFofmJZzAXh/se+Nv+Tf+4Vw9Y+6fXUpJSGXbYcTQZjuxpyeYt60g6eJSkA0dIPnSU5ENHeajsRfQJg+DtjZi1/FNSjybhjh7DHUvCJSXRo3ZFuuaDiK3RxC1/ElJSjm9JSZCaQtt6EdTPC+W2VGTtuk5YagqWmgouFUtJoXp0GBeEQPiWouyhMuZSwDnMpWIulSLFgggNgqC9ISSFhBGU9jw4glJTSUqC5GRwR46S59gBzDnAYTiSLZTExONLMLq9ewk/sP2P18w5goMLs3Hj8T+LoJ93EHFw3Ql/Oo6UkAOsXHn8/f/YvpGSvy37//8OOI6E/sZijr9+8/Y1RB5dzIkXkN2XN4X4o8df77V9GWWSTjw+7NiThzkHjt+/Z9tCSiVv/9P7N+4uxKw9x+/3S5hDeOo+ALYeuoakpFP+FTknXk58NLMaHG+c3wUePEWTHQlEOucWmlk4sADo5pxbeabj6yQaEfHJOTh6FMLCzv69OvFRRCT7CLgTH51zqwDMTj3HyDm3A9iRdv+Ama0CygBnbLJFRHwyO7cGW0REco5sMVvQzCpw/Hcyc0+zTy8zizez+MTExFPtJiIiIiKS6TJtJNvMJnJ8PvVf9XfOjT6L4xQERgJ9nXP7T7Wfc24wMBiO/+rxLOOKiIiIiGSYTGuynXPtzvcYZhbK8Qb7E+fc1+efSkREREQk8wXsdBE7PmH7A2CVc+5V33lERERERNLLS5NtZleYWQLHV8H53szGpT1f2sx+SNutOXAT0MbMFqdtHX3kFRERERE5G75WFxkFjDrJ89uBjmn3ZwC6xJGIiIiIZDsBO11ERERE5P/au//Qu+o6juPP1xI30tio1koNfyYl/dhmGjSSDaKkxJlliYNajMB+mBD9UIT+kZkhBoqUWEoRs7AvtrY0g0SZmMHmVPyG/Zg/oKGxH6jNMpP27o97vnq8nfv9fs/9fs4993zu6wEX7vncc859v+45981n597vrllXtfJjNE2TtB94Dni+NLy0tFx1/83AgQU+dXm/w65X9Vj/2GzLg+4vNN+oslWNjcuxq5utanxcs821ns/L0R274yNi+RDbddaQPRu6e/4MOpdSZhtUR5113Ncmq6/5vEzdsyMiyxu9n2GvXK66D+xK/ZzDrFf12GxZ5pMtRb5RZRvnY1c3W4pj5/NyPLK1dewm6TZJ58+grCmzzTef+1rabCny+bzs7nnZf8v56yLbZ1kedD/1cw6zXtVjs2XpX+56tqqxcclXN1vV+Lhmm2s9n5ft5Jskk3T+DMqa+txxX3NfqzPm8zKxLL8uMgxJu2LAb8/nIOd8ztZdOefLOdu4yPk1drbuyjmfs9WT85Xsum5qu4CG5ZzP2bor53w5ZxsXOb/GztZdOedzthp8JdvMzMzMLDFfyTYzMzMzS8yTbDMzMzOzxDzJNjMzMzNLzJPseZC0VtJ9km6UtLbtelKTdJSkByWd03YtqUl6V3HcpiR9se16UpJ0nqQfSvqVpI+0XU9qkk6SdLOkqbZrSaF4n/2kOGYb2q4nZ7n3bMi3b7tnd5d79v/LfpIt6RZJ+yRN942fLenPoIgTxAAABbxJREFUkvZIumyO3QTwArAE2NtUrXUlygbwLeC2ZqocXop8EfFYRFwMfBoYm/92KFG2rRHxBWAj8JkGy60tUb4nImJTs5UuTM2c5wNTxTE7d+TFdkTOPRvy7tvu2e7Z7tl9Uv+6zbjdgLOA1cB0aex1wOPAScCRwCPAacB7gF/33d4CLCq2WwFsaTtT4mwfBi6k96Y/p+1MqfMV25wL/B64qO1MqbMV210LrG47U4P5ptrOkyjn5cDKYp1b2659XG859+yE+cayb7tnu2cX27lnF7cjyFxE7JB0Qt/wmcCeiHgCQNLPgfUR8R1gto/engUWN1HnMFJkk7QOOIreCfWipDsj4nCjhc9TqmMXEduAbZLuAG5truL5S3TsBFwN/CYidjdbcT2J33djq05OeldUjwMeZgI+RRxWzj0b8u7b7tnu2eNu1D07+0n2AMcCfyst7wU+MGhlSecDHwWWATc0W9qC1coWEVcASNoIHBiHRj2HusduLb2PfBYDdzZa2cLVygZcQu+K1lJJp0TEjU0Wl0DdY/cmYDOwStLlRWPvgkE5rwdukPRx/NPrdeXcsyHvvu2e/Sr37PHUWM+e1Em2KsYG/ipPRNwO3N5cOUnVyvbKChE/Tl9KI+oeu3uBe5sqJrG62a6n1wS6om6+g8DFzZXTmMqcEfFP4POjLiYTOfdsyLtvu2fPPOCePa4a69mT+pHlXuDtpeXjgKdbqiW1nLNB3vlyzgb555sxKTlHKffXNOd8ztZdueeb0VjOSZ1k7wTeIelESUfS+wOSbS3XlErO2SDvfDlng/zzzZiUnKOU+2uacz5n667c881oLmfbf+nZ9A34GfAM8DK9f61sKsY/BvyF3l+UXtF2nc42WflyzjYJ+SYtp19T53O2fLNNQr62cqrYuZmZmZmZJTKpXxcxMzMzM2uMJ9lmZmZmZol5km1mZmZmlpgn2WZmZmZmiXmSbWZmZmaWmCfZZmZmZmaJeZJt2ZC0TNKXSsvHSJpq6LnOk/TtAY+9MOQ+l0u6a2GVmZl1g3u25c6TbMvJMuCVhh0RT0fEpxp6rm8C30+5w4jYDzwjaU3K/ZqZjSn3bMuaJ9mWk6uBkyU9LOkaSSdImgaQtFHSVknbJT0p6SuSvibpIUl/kPTGYr2TJd0l6UFJ90l6Z/+TSDoVeCkiDhTLJ0p6QNJOSVeW1jta0t2Sdkt6VNL6YvxKSZeW1tss6avF4lZgQ1MvkJnZGHHPtqx5km05uQx4PCJWRsQ3Kh5/N3ARcCawGfhXRKwCHgA+W6xzE3BJRJwOfJ3qKx9rgN2l5euAH0TEGcDfS+P/Bj4REauBdcC1kgTcDHwOQNIi4EJgS7HNLuBDtVKbmXWTe7Zl7Yi2CzAboXsi4hBwSNLzwPZi/FHgvZKOBj4I/KLXVwFYXLGftwH7S8trgE8W938KfLe4L+AqSWcBh4FjgRUR8ZSkg5JWASuAhyLiYLHNPuCYBeY0M8uBe7Z1mifZNkleKt0/XFo+TO+9sAh4LiJWzrGfF4GlfWNRsd4GYDlwekS8LOkpYEnx2I+AjcBbgVtK2ywp9m9mNuncs63T/HURy8kh4A3DbhwR/wCelHQBgHreV7HqY8AppeX76X18CK/9bt5SYF/RrNcBx5ce+yVwNnAG8NvS+KnA9LAZzMw6xD3bsuZJtmWj+PjufknTkq4ZcjcbgE2SHgH+CKyvWGcHsEqvfj55KfBlSTt57dWSLcD7Je0q9vunUq3/Ae4BbouI/5a2WQfcMWTtZmad4Z5tuVNE1ScmZjYbSdcB2yPid0Nuv4jeH+JcEBF/LY3vANZHxLNpKjUzM/dsa4OvZJsN5yrg9cNsKOk0YA9wd1+zXg58z83azCw592wbOV/JNjMzMzNLzFeyzczMzMwS8yTbzMzMzCwxT7LNzMzMzBLzJNvMzMzMLDFPss3MzMzMEvMk28zMzMwssf8BtY5q2rZzJgYAAAAASUVORK5CYII=", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(12, 4))\n", - "plt.subplot(121)\n", - "plt.semilogx(t, htheis, \"b\", label=\"theis\")\n", - "plt.semilogx(t, h[0], \"r--\", label=\"ttim\")\n", - "plt.xlabel(\"time (day)\")\n", - "plt.ylabel(\"head (m)\")\n", - "plt.legend()\n", - "plt.subplot(122)\n", - "plt.semilogx(t, Qrtheis, \"b\", label=\"theis\")\n", - "plt.semilogx(t, Qx[0], \"r--\", label=\"ttim\")\n", - "plt.xlabel(\"time (day)\")\n", - "plt.ylabel(\"head (m)\")\n", - "plt.legend(loc=\"best\");" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "def test(M=10):\n", - " ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=S / 20, tmin=1e-5, tmax=1, M=M)\n", - " w = ttim.Well(ml, tsandQ=[(0, Q)], rw=1e-5)\n", - " ml.solve(silent=True)\n", - " h = ml.head(r, 0, t)\n", - " return htheis - h[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "enumba = test(M=10)\n", - "plt.plot(t, enumba, \"C1\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head difference Thies - Ttim\");" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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MHdlOm0QA0QfZd2F7Yg+2j5zsi+x9X0Bf/9e+SO+zY7am9319NQLYRQMT3U7bJf3VGkRpY6um2r99a45mfK8bJilJ1wMXRMSqtD0RuDwiPjLIc9eauDZPmVr7q6XweuV35xw774y4BrgGYO7cuYP6Kd336Xdw5lfvZ/WGLYzqaGP+8TP42XMr+Mu3H8SHjp8xpPPjrd/cy5wv3MX6Br/8K73YvZ6jXz9xUOfdZ9woLv/Tw4Gs+/D5Fev49ctree7lNfz65TU89/JaNmzZyqSxnUwa28nMyWOYNHYkk/fq3LZv4phOxo3KktFeKTEN9V9wZtZ6ebr7DutPUAAR0ZOW8BisLmB6xfYBwEs1ynRJ6gD2BrobHFtt/wpggqSO1JqqLL8752iasZ3t2/6iHjWinUOn7c2D/+uUppxrVEfWtbYh50CGLVv7WLZ6I9Nzdg3mMbKjnUNeN55DXjd+yOo0s9eOPH96tqXWEwCSJpEvuTXyMDArjbrrJBukMHCZ+gXA/PT+LODeyPpnFgBnp5F5M4FZwC9q1ZmOuS/VQarz9t08R9P1t5Xq3Z8ZCm1tYvSI9twtqWWrNrK1Lzhw0tAlKTOzevIkm8uB/5J0W9p+H/ClwZ443f/5BHAX0A5cFxFPSboEWBgRC4BrgRvSoIVusqRDKncL2SCLXuD8iNgKUK3OdMrPAjdJ+nvgkVQ3u3OOpko37YFCuq/GdLazPueEsEt7snkED5g0upkhmZltk2fgxLclLQJOIvsj/08i4ukGh+USEXcAdwzY94WK9xvJkmK1Y79ElWRZrc60fwnbRwBW7t/lczSTKm5J78roud01urOdDTlbUi92Z0nKLSkzK0rebrtfkT1b1AEg6cCIeLFpUQ1jlcOj2wtYRHBsZ0fuh2uXdq+no03st7dbUmZWjDyj+z4JXAy8TDbTRP+jOIc1N7ThbPvzPM02ujP/PakXu9czbeLoQlp4ZmaQryV1AfDGiFjZ7GAsS0+VD5c225hd6O5b2rNhSEf2mZk1kmtaJGB1swOxjFTsPakxu9CSWtq9num+H2VmBcrTkloC/FjS94FN/Tsj4h+bFtUwVtmSaiugv290zntSazf10r1uM9M9ss/MCpQnSb2YXp3pZU3W35YqpCWV8zmppR7ZZ2YtkGcI+v+GbGXeiFjX/JCGt8rRfcW0pPLdk+pPUr4nZWZFyrMy7+97Zd7iVD4nVcQguv6HeRstUe9npMysFfIMnPh/eGXe4lTMOFHUwImtfcHmrfWn9u7q2cBeIzuYMGZE02MyM+vX0pV5rb62QmacyHp8G3X5vZhG9g3lLOxmZo20bGVe21Flq6nYGSeySWwbDZ5Y2r2e6RM9ss/MipUnSX2MbCXe/pV5j2BoVua1KnaYFqmgufugfpKKCJb2rPf9KDMrXN3RfZLagQ9GRDNW5rUa+odOFDG6b0yO7r7lazexcUufH+Q1s8LVbUmlpSnmFRSLJduHoDf/XGO2taRqP9DrZ6TMrFXyPMx7v6SrgJuBbc9JRcQvmxbVMCYofKkOoO6aUku7NwB4tgkzK1yeJHV8+npJxb4ATh76cIavyueU+kfQFTG6b1tLalO9JJUWO/SDvGZWsDwzTpxURCCW2WGC2SLuSY3I/gnU6+57sXs9+4wb2fTl7M3MBsoz48S+kq6VdGfaniPp3OaHNoy1YHTfhnrdfR7ZZ2YtkmcI+r8AdwH7p+1fA3/drIBs+z2pIp6bHZNjCPrS7g0e2WdmLZEnSU2JiFuAPoCI6MUzTjRNtlRHmhapiAlmR9RPUpt7+1i22knKzFojT5JaJ2ky2WAJJB2HF0FsqiJH97W1iVEj2thQ457US6s20Bd4tgkza4k8o/suBBYAb5B0PzAVOKupUQ1DlXOQb3tOqogHpYCxnR01W1JLe/yMlJm1Ts0kJel9EXEr0AO8HXgj2R/5z0bEloLiG3akikUPC5rMtd6aUv1LdLi7z8xaoV533+fS13+LiN6IeCoinnSCar6iW1JjOmuvzru0ewOd7W3sO35UIbGYmVWq193XLek+YKakBQM/jIgzmhfW8LX9KalipkWCbLmOWjNOLO1ez7SJowu5P2ZmNlC9JPVu4CjgBuDyYsIxgL40+0RR3X1jRrSzflP1gRNLe9a7q8/MWqZekro2Ij4o6RsR8ZPCIhqmKldv70vvi+zuW7a6ei/ui93refO0vQuJw8xsoHr3pI6W9HrgA5ImSppU+SoqwOFGqmhJFZSkRne2V51x4tWNW1i1fotH9plZy9RrSX0d+AFwELAIqPyNGWm/NUF/q6qw7r7O9qpz9y31yD4za7GaLamIuDIifg+4LiIOioiZFS8nqCbqb0kV191X/Tmp3/VkS3Qc4Ad5zaxF6j0nNT4iXgU+X617LyK6mxrZMNbfkipudF/156RWrN0MwNRxI4sJxMxsgHr3pG5MXxcBC9PXRRXbuy3d17pb0nPp68Qa5eanMs9Jml+x/2hJT0haLOlKpcnuatWrzJWp/OOSjspxjh9LelbSo+m1z2CueVcUfU9qbGc7vX3B5t6+HfavXLsJgEljOwuJw8xsoHrdfe9JX2c2obvvIuCeiJgF3JO2d5BabxcDxwLHABdXJLOvAecBs9Lr9Ab1vqui7Hnp+EbnAPhARByRXq8M8ppzkSpbUkUNnMga1ANbUyvXbWbcyA5GdngdKTNrjZpJStJR9V6DPO884Pr0/nrgzCplTgPujojuiOgB7gZOl7QfMD4iHohsOdtvVxxfq955wLcj8yAwIdVT9RyDvLZBK7oltW25ji07Dp5YuW4zk/dyK8rMWqfe6L7+B3hHAXOBx8hG+B0GPAS8dRDn3TcilgFExLIaXWnTgKUV211p37T0fuD+evXWq6va/n7fkrQV+Dfg76NyjfcKks4ja6Fx4IEHVr3gXVH4w7w11pTqXrfJXX1m1lL1uvtOSkvH/xY4KiLmRsTRwJHA4kYVS/qRpCervObljK3ab+ios3+o6/pARLwZODG9Plir8oi4Jn1/5k6dOrVBKI0C1bbuvoJy1LY1pXbq7lu7mUljPWjCzFonz3pSh0TEE/0bEfEkcESjgyLinRFxaJXX7cDLqbuN9LXa/Z4uYHrF9gHAS2n/AVX2U6feenVV209E/C59XUM2iOSYRtc8VPpnnCiuuy9rUK/btHN33xR395lZC+VJUs9I+qakd0h6u6RvAM8M8rwLgP6RdPOB26uUuQs4Nc12MRE4FbgrdeetkXRcGtV3TsXxtepdAJyTRvkdB6xO9VQ9h6QOSVMAJI0A3gM8Ochrzi1aMOMEsMMks319Qc+6ze7uM7OWyrPo4YeBjwMXpO2fkkbHDcKlwC2SzgVeBN4HIGku8LGI+GhEdEv6IvBwOuaSimezPg78CzAauDO9atYL3EE2Ye5iYH26JmqdQ9JYsmQ1AmgHfgR8Y5DXnEvltEhFje7rvydV2d336sYt9PYFk/dyd5+ZtU7DJBURG4Er0mtIRMRK4JQq+xcCH63Yvg64rka5Q3eh3gDOrxHLTueIiHXA0Y2uoxlExQSzLRw4sXJd9iDvZLekzKyF8nT3WYEkVXT3FXPO0dtaUtvvSXX3JynfkzKzFnKSKhlBxei+YgdO7NCS8mwTZlYCDZOUpJ3WDe8fVGBDT9o+Br6wGSdG1Ovu8z0pM2udPC2ph9OIOAAkvRf4r+aFNLxVdvcVNcFse5sYNaJthzWlVqbJZd2SMrNWyjO678+A6yT9GNgfmAyc3MyghruiV+aF/uU6drwnNW5UB50d7hE2s9bJM7rvCUlfAm4A1gBvi4iuBofZIATFDkGHrMtvYHffFA8/N7MWa5ikJF0LvIFszr7ZwPckXRURX212cMNV0etJQVqdd9OOAyfc1WdmrZanL+dJ4KSIeD4i7gKOAwY7C7oN0FGRkYoeOAEpSVXck+pet9nPSJlZy+W5J/XPwJvTcOhnI2I1cG5ToxqG7rjgRO5fvCLbKHiCWehfnXf7PakVazdz5IETigvAzKyKesvHjwC+TDb792/JHuHZR9JXIuJSSUdGxCMFxfmaN3vfcczedxzQmntSYzo7ePnVjUCat2+95+0zs9ZrtJ7UGGBGmgkcSeOB/yvpa2SLA85sfojDT9Er80J/Syrr7lu9YQtb+8LPSJlZy9VLUu8GZlUu9BcRr0r6OLCCbEl2a4Lt96SKO+eYitF9Kz0lkpmVRL2BE33VVqKNiK3A8rQMuzVB/7e9qGmRAMaO3P6cVLdnmzCzkqiXpJ6WdM7AnZL+nMGvJ2V1FL3oIaTuvjS6z/P2mVlZ1OvuOx/4rqSPAIvIeqHeQraG0x8XENuwV3R335atwZatfdu6+7wqr5m1Ws0klZZPP1bSycCbyEb33RkR9xQV3HBX9MAJyCaZ7Z+3b6JbUmbWYnmmRboXuLeAWGyAIp+T6l+uY8PmrXSv28T4UR2MKGpBKzOzGvxbqMSKnnECYN3mXs/bZ2al4SRVYq3o7tuQuvs8aMLMysBJqsSKnmAWsntS3es2+xkpMysFJ6kSK/I5qe1JqpeV6zYxyc9ImVkJOEmVWKHPSY3IBk6s27SVnvVbPPzczErBSarEiuzuGzsya0ktW72BrX3he1JmVgpOUiXWioETXT0bAM82YWbl4CRVYq14TqqrZz2Ah6CbWSk4SZVYoS2pEW5JmVn5OEmVWJFJqr1NjOxoY2l31pLyEHQzKwMnqRIrcuAEZMPQ16U1pSaOcZIys9ZzkiqxIp+Tgu33pSaMGeF5+8ysFPybqMSKbkn1j/Dz/SgzKwsnqRIr8mFe2D7rxGQnKTMriZYkKUmTJN0t6bn0dWKNcvNTmeckza/Yf7SkJyQtlnSlUr9YrXqVuTKVf1zSURV1/UDSKkn/OeDcMyU9lOq6WVLhv7mL7u7rH+HnZePNrCxa1ZK6CLgnImYB96TtHUiaBFwMHAscA1xckcy+BpwHzEqv0xvU+66Ksuel4/t9GfhglRgvA65IdfUA5+7WlQ5CKwZOAEzyyD4zK4lWJal5wPXp/fXAmVXKnAbcHRHdEdED3A2cLmk/YHxEPBARAXy74vha9c4Dvh2ZB4EJqR7SSsNrKk+cWmYnA7c1iLGpihyCDjBmZDZwYoq7+8ysJFqVpPaNiGUA6es+VcpMA5ZWbHelfdPS+4H769Vbq65aJgOrIqI3T3lJ50laKGnh8uXL61S7awpPUiM8cMLMyqXh8vG7S9KPgNdV+ejzeauosi/q7N+duoakfERcA1wDMHfu3Eax5FZwjqro7vM9KTMrh6YlqYh4Z63PJL0sab+IWJa63V6pUqwLeEfF9gHAj9P+Awbsfym9r1VvFzC9xjHVrCDrEuxIralG5Zui6JbU6E5395lZubSqu28B0D9abz5we5UydwGnSpqYBkycCtyVuvHWSDou3Ts6p+L4WvUuAM5Jo/yOA1b3dwtWk+513Qec1SDGpvLACTMb7lqVpC4F/kDSc8AfpG0kzZX0TYCI6Aa+CDycXpekfQAfB74JLAZ+A9xZr17gDmBJKv8N4K/6A5H0M+BW4BRJXZJOSx99FrhQ0mKye1TXDul3IIeiW1LjRqWWlLv7zKwkmtbdV09ErAROqbJ/IfDRiu3rgOtqlDt0F+oN4PwasZxYY/8SsqHvLdNWcFPqj4+cxn57j3KSMrPS8IwTts2EMZ2cfuh+rQ7DzGwbJykzMystJykzMystJykzMystJykzMystJykzMystJykzMystJykzMyutljzMa/Xdfv4JPPG71a0Ow8ys5ZykSujw6RM4fPqEVodhZtZy7u4zM7PScpIyM7PScpIyM7PScpIyM7PScpIyM7PScpIyM7PScpIyM7PScpIyM7PSUrayug0VScuB3+7m4VOAFUMYzp7A1zw8DLdrHm7XC4O/5tdHxNSBO52kSkTSwoiY2+o4iuRrHh6G2zUPt+uF5l2zu/vMzKy0nKTMzKy0nKTK5ZpWB9ACvubhYbhd83C7XmjSNfuelJmZlZZbUmZmVlpOUmZmVlpOUi0g6XRJz0paLOmiKp+PlHRz+vwhSTOKj3Lo5LjeCyU9LelxSfdIen0r4hxKja65otxZkkLSHj9cOc81S/rT9LN+StKNRcc41HL82z5Q0n2SHrjeUN8AAAUfSURBVEn/vt/dijiHiqTrJL0i6ckan0vSlen78bikowZ90ojwq8AX0A78BjgI6AQeA+YMKPNXwNfT+7OBm1sdd5Ov9yRgTHr/8T35evNecyo3Dvgp8CAwt9VxF/BzngU8AkxM2/u0Ou4Crvka4OPp/RzghVbHPchrfhtwFPBkjc/fDdwJCDgOeGiw53RLqnjHAIsjYklEbAZuAuYNKDMPuD69vw04RZIKjHEoNbzeiLgvItanzQeBAwqOcajl+RkDfBH4P8DGIoNrkjzX/BfAVyOiByAiXik4xqGW55oDGJ/e7w28VGB8Qy4ifgp01ykyD/h2ZB4EJkjabzDndJIq3jRgacV2V9pXtUxE9AKrgcmFRDf08lxvpXPJ/hLbkzW8ZklHAtMj4j+LDKyJ8vycZwOzJd0v6UFJpxcWXXPkuea/A/5cUhdwB/DJYkJrmV39/95Qx6DCsd1RrUU08DmAPGX2FLmvRdKfA3OBtzc1ouare82S2oArgA8VFVAB8vycO8i6/N5B1lr+maRDI2JVk2NrljzX/H7gXyLickm/D9yQrrmv+eG1xJD/7nJLqnhdwPSK7QPYuQtgWxlJHWTdBPWa2GWW53qR9E7g88AZEbGpoNiapdE1jwMOBX4s6QWyvvsFe/jgibz/rm+PiC0R8TzwLFnS2lPlueZzgVsAIuIBYBTZRKyvVbn+v+8KJ6niPQzMkjRTUifZwIgFA8osAOan92cB90a6K7kHani9qevrn8kS1J5+nwIaXHNErI6IKRExIyJmkN2HOyMiFrYm3CGR59/1f5ANkkHSFLLuvyWFRjm08lzzi8ApAJJ+jyxJLS80ymItAM5Jo/yOA1ZHxLLBVOjuvoJFRK+kTwB3kY0Oui4inpJ0CbAwIhYA15J1Cywma0Gd3bqIByfn9X4Z2Au4NY0PeTEizmhZ0IOU85pfU3Je813AqZKeBrYCn4mIla2LenByXvPfAt+Q9Ddk3V4f2oP/4ETSv5J1105J99kuBkYARMTXye67vRtYDKwHPjzoc+7B3y8zM3uNc3efmZmVlpOUmZmVlpOUmZmVlpOUmZmVlpOUmZmVlpOUWUlJmiDpryq295d0W5POdaakL9T4bG36OlXSD5pxfrNanKTMymsC2Yz4AETESxFxVpPO9T+Bq+sViIjlwDJJJzQpBrOdOEmZldelwBskPSrpy5Jm9K/jI+lDkv5D0vckPS/pE2ldrkfS5K2TUrk3SPqBpEWSfibpkIEnkTQb2BQRK9L2TEkPSHpY0hcHFP8P4APNvWyz7ZykzMrrIuA3EXFERHymyueHAn9GtmTEl4D1EXEk8ABwTipzDfDJiDga+DTVW0snAL+s2P4n4GsR8RbgvweUXQicuJvXY7bLPC2S2Z7rvohYA6yRtBr4Xtr/BHCYpL2A49k+3RTAyCr17MeO88mdALw3vb8BuKzis1eA/YcmfLPGnKTM9lyVs8X3VWz3kf3fbgNWRcQRDerZQDbTfqVa86WNSuXNCuHuPrPyWkO2rMduiYhXgeclvQ8gzUx9eJWizwAHV2zfz/ZJjQfef5oNPLm7MZntKicps5JKM4TfL+lJSV/ezWo+AJwr6THgKaovY/9T4Eht7xO8ADhf0sPs3MI6Cfj+bsZitss8C7qZIemfgO9FxI8alPspMC8ieoqJzIY7t6TMDOAfgDH1CkiaCvyjE5QVyS0pMzMrLbekzMystJykzMystJykzMystJykzMystJykzMystP4/TbKAL0SYyH8AAAAASUVORK5CYII=", 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "def compare(M=10):\n", - " ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=S / 20, tmin=1e-5, tmax=1, M=M)\n", - " w = ttim.Well(ml, tsandQ=[(0, Q)], rw=1e-5)\n", - " ml.solve(silent=True)\n", - " h = ml.head(r, 0, t)\n", - " rmse = np.sqrt(np.mean((h[0] - htheis) ** 2))\n", - " return rmse\n", - "\n", - "\n", - "Mlist = np.arange(1, 21)\n", - "rmse = np.zeros(len(Mlist))\n", - "for i, M in enumerate(Mlist):\n", - " rmse[i] = compare(M)\n", - "plt.semilogy(Mlist, rmse)\n", - "plt.xlabel(\"Number of terms M\")\n", - "plt.xticks(np.arange(1, 21))\n", - "plt.ylabel(\"relative error\")\n", - "plt.title(\n", - " \"comparison between TTim solution and Theis \\n solution using numba and M terms\"\n", - ")\n", - "plt.grid()" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(788.0000039400159, 2.2165658614550988e-07)" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "def volume(r, t=1):\n", - " return -2 * np.pi * r * ml.head(r, 0, t) * ml.aq.Scoefaq[0]\n", - "\n", - "\n", - "from scipy.integrate import quad\n", - "\n", - "quad(volume, 1e-5, np.inf)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "from scipy.special import exp1\n", - "\n", - "\n", - "def theis2(r, t, T, S, Q, tend):\n", - " u1 = r**2 * S / (4 * T * t)\n", - " u2 = r**2 * S / (4 * T * (t[t > tend] - tend))\n", - " h = -Q / (4 * np.pi * T) * exp1(u1)\n", - " h[t > tend] -= -Q / (4 * np.pi * T) * exp1(u2)\n", - " return h" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml2 = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=S / 20, tmin=1e-5, tmax=10)\n", - "w2 = ttim.Well(ml2, tsandQ=[(0, Q), (1, 0)])\n", - "ml2.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [], - "source": [ - "t2 = np.linspace(0.01, 2, 100)\n", - "htheis2 = theis2(r, t2, T, S, Q, tend=1)\n", - "h2 = ml2.head(r, 0, t2)" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(t2, htheis2, \"b\", label=\"theis\")\n", - "plt.plot(t2, h2[0], \"r--\", label=\"ttim\")\n", - "plt.legend(loc=\"best\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Hantush" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [], - "source": [ - "T = 500\n", - "S = 1e-4\n", - "c = 1000\n", - "t = np.logspace(-5, 0, 100)\n", - "r = 30\n", - "Q = 788" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [], - "source": [ - "from scipy.integrate import quad\n", - "\n", - "\n", - "def integrand_hantush(y, r, lab):\n", - " return np.exp(-y - r**2 / (4 * lab**2 * y)) / y\n", - "\n", - "\n", - "def hantush(r, t, T, S, c, Q, tstart=0):\n", - " lab = np.sqrt(T * c)\n", - " u = r**2 * S / (4 * T * (t - tstart))\n", - " F = quad(integrand_hantush, u, np.inf, args=(r, lab))[0]\n", - " return -Q / (4 * np.pi * T) * F\n", - "\n", - "\n", - "hantushvec = np.vectorize(hantush)" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(\n", - " kaq=25, z=[21, 20, 0], c=[1000], Saq=S / 20, topboundary=\"semi\", tmin=1e-5, tmax=1\n", - ")\n", - "w = ttim.Well(ml, tsandQ=[(0, Q)])\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "hhantush = hantushvec(30, t, T, S, c, Q)\n", - "h = ml.head(r, 0, t)\n", - "plt.semilogx(t, hhantush, \"b\", label=\"hantush\")\n", - "plt.semilogx(t, h[0], \"r--\", label=\"ttim\")\n", - "plt.legend(loc=\"best\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Well with welbore storage" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n", - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "T = 500\n", - "S = 1e-4\n", - "t = np.logspace(-5, 0, 100)\n", - "rw = 0.3\n", - "Q = 788\n", - "\n", - "ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=S / 20, tmin=1e-5, tmax=1)\n", - "w = ttim.Well(ml, rw=rw, tsandQ=[(0, Q)])\n", - "ml.solve()\n", - "hnostorage = ml.head(rw, 0, t)\n", - "\n", - "ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=S / 20, tmin=1e-5, tmax=1)\n", - "w = ttim.Well(ml, rw=rw, tsandQ=[(0, Q)], rc=rw)\n", - "ml.solve()\n", - "hstorage = ml.head(rw, 0, t)\n", - "\n", - "plt.semilogx(t, hnostorage[0], label=\"no storage\")\n", - "plt.semilogx(t, hstorage[0], label=\"with storage\")\n", - "plt.legend(loc=\"best\")\n", - "plt.xticks(\n", - " [1 / (24 * 60 * 60), 1 / (24 * 60), 1 / 24, 1], [\"1 sec\", \"1 min\", \"1 hr\", \"1 d\"]\n", - ");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Slug test" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "k = 25\n", - "H = 20\n", - "S = 1e-4 / H\n", - "t = np.logspace(-7, -1, 100)\n", - "rw = 0.2\n", - "rc = 0.2\n", - "delh = 1\n", - "ml = ttim.ModelMaq(kaq=k, z=[H, 0], Saq=S, tmin=1e-7, tmax=1)\n", - "Qslug = np.pi * rc**2 * delh\n", - "w = ttim.Well(ml, tsandQ=[(0, -Qslug)], rw=rw, rc=rc, wbstype=\"slug\")\n", - "ml.solve()\n", - "h = w.headinside(t)\n", - "plt.semilogx(t, h[0])\n", - "plt.xticks(\n", - " [1 / (24 * 60 * 60) / 10, 1 / (24 * 60 * 60), 1 / (24 * 60), 1 / 24],\n", - " [\"0.1 sec\", \"1 sec\", \"1 min\", \"1 hr\"],\n", - ");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Slug test in 5-layer aquifer\n", - "Well in top 2 layers" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 2\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "k = 25\n", - "H = 20\n", - "Ss = 1e-4 / H\n", - "t = np.logspace(-7, -1, 100)\n", - "rw = 0.2\n", - "rc = 0.2\n", - "delh = 1\n", - "ml = ttim.Model3D(kaq=k, z=np.linspace(H, 0, 6), Saq=Ss, tmin=1e-7, tmax=1)\n", - "Qslug = np.pi * rc**2 * delh\n", - "w = ttim.Well(ml, tsandQ=[(0, -Qslug)], rw=rw, rc=rc, layers=[0, 1], wbstype=\"slug\")\n", - "ml.solve()\n", - "hw = w.headinside(t)\n", - "plt.semilogx(t, hw[0], label=\"inside well\")\n", - "h = ml.head(0.2 + 1e-8, 0, t)\n", - "for i in range(2, 5):\n", - " plt.semilogx(t, h[i], label=\"layer\" + str(i))\n", - "plt.legend()\n", - "plt.xticks(\n", - " [1 / (24 * 60 * 60) / 10, 1 / (24 * 60 * 60), 1 / (24 * 60), 1 / 24],\n", - " [\"0.1 sec\", \"1 sec\", \"1 min\", \"1 hr\"],\n", - ");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "20 layers" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 8\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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lOdqff16bzI7cCh7+bKfKflHOSUpJSUkJDz74IKtWrWLPnj2cOHGCVatW6d20c1IFXelyJvYL5y8Te/Hl9jzeWn9E7+YoDuCs+Nzdu3fTq1cvQkJCAJgwYQKfffZZG59dy6ml/0qXdNfYePYXVPHst/vpFebNuD5hejepQ3s2/Vn2l+536D77BPbhoSEPtWhbd3d3vvjiizPic6dNm8Ztt93G1VdfzT333IPdbmfJkiWkp6fz/fffk5mZSXp6emN87vr164mJieHAgQPMnz+f119/nbKyMvbv309WVhZRUVF8+eWXNDS035wgVdCVLkkIwfMzBnCkqIb7l+5gxd0jifT30LtZygU6FZ+7fv16DAZDk/G5J06caDI+F7QefmZmJjExMWfE5wYEBPDGG29w7bXXYjAYGD58OEeOtN/f6lRBV7osD1cjr81OYcorP3D34m0suSMNk1GNQl6IlvakncVZ8bkAU6dOZerUqQC8/fbbbXZziwuh/vUqXVr3YC+euiqRjOwy/rUqU+/mKBfIWfG5QOPzZWVlvP7668yZM8fJZ3PhWtRDF0JMAv4FGIF3pZTPnPV6DPAB4H9ym4ellCsc3FZFcYrfDOzGhkPFvLrmEGk9ghgRH6x3k5RWclZ8LsA999zDjh07AHj88cfp1atXG5zRhWk2PlcIYQQOApcBucAW4Hop5d7Ttnkb2CalfEMI0RdYIaWMO99+VXyu0p7UNliZ+u8fqW2w8d19o/B1d9G7Se2eis91PmfE5w4BDkkpj0gpG4AlwPSztpGA78mv/YC8VrVaUXTm6WripZnJnKis56mv9+ndHMVBulp8bkuGXLoBOad9nwsMPWubecD3Qog/A17AhKZ2JIS4A7gDICYmprVtVRSnGhDtz52je/LG2sNMTgxnTO9QvZukXKRT8bldRUt66KKJ584ep7keWCCljAKuAD4SQvxq31LKt6WUqVLK1FMT9RWlPbl3QgIJod488vkuKustejdHUVqlJQU9F4g+7fsofj2kchuwFEBKuQlwB9SVJaXDcTMZef6aAZyorOfpFWroRelYWlLQtwAJQojuQghX4Dpg+VnbHAPGAwghLkEr6EWObKiitJXkaH9uH9mDxek56vZ1SofSbEGXUlqBPwHfAfuApVLKPUKI/xNCTDu52QPA7UKIHcBi4GapUo+UDuzu8QmE+7rz2Je7sdnVP2WlY2jRwiIp5QopZS8pZU8p5VMnn3tcSrn85Nd7pZQjpJQDpJTJUsrvndloRXE2LzcTj03py978ShZuzm7+DYou2iI+99FHHyU6OvpXxzKbzVx77bXEx8czdOhQsrKynN6W5qiVoopyDlckhjMyIZgXvj9AUZVZ7+YobUxKid1uZ+rUqaSnp//q9ffee4+AgAAOHTrEfffdx0MP6Rt/AKqgK8o5CSGYN60f9RYbT3+jLpC2Z86Kz83JySEtLY2IiIhfHfOrr77ipptuAmDGjBmsWrVK93x9Fc6lKOfRM8Sb2y7twZvrDnPriO707+and5PapYJ//APzPsfG57pd0ofwv/61Rds6Kz73fI4fP050tDYB0GQy4efnR0lJCcHB+k3wUwVdUZrxx7E9+WTLMf6xYh8fzxmKEE0tzVD05Kz43OaOeTa9/22ogq4ozfB1d+Hu8Qn87T97WXewSK0gbUJLe9LO4sz43HOJiooiJyeHqKgorFYrFRUVBAYGOvbEWkmNoStKC8weGktskCdPr9ivpjG2Q86Mzz2XadOm8cEHHwCwbNkyxo0bp3sPXRV0RWkBV5OBuZf34cCJKj77OVfv5ihnmT17NhkZGaSmpvLxxx83GZ87c+bMM+JzZ82axbBhw0hMTGTGjBlUVVU1ue+5c+cSFRVFbW0tUVFRzJs3D4DbbruNkpIS4uPjeemll3jmmWeafH9bajY+11lUfK7S0Ugp+c3rGzlRUc/aB8fg7tJ+71zTFlR8rvM5Iz5XURS0C15zL+9NQWU9SzNymn+DojsVn6soyjkN7xnEkLhAXltziJmp0V2+l97eqfhcRVHOSQjBvRMSOFFp5pMtqpeutC+qoCtKKw072Ut/fe0h6i02vZujKI1UQVeUVhJCcO9lqpeutD+qoCvKBRjWI4gh3bVeutmqeulK+6AKuqJcACEEfx4Xz4lKM19tU/dE14ue8bnr168nJSUFk8nEsmXLnN6OllAFXVEu0KXxwfSL9OWt9Yexq9WjnU5z8bkxMTEsWLCAWbNm6dC6pqmCrigXSAjBHaN6cLiohlX7W7dsXHEsPeJz4+LiSEpKwmBoP2VUzUNXlItwZWIEz317gLfWHeayvmF6N0c3Pyw9SHFOtUP3GRztzciZvVq0rR7xue2RKuiKchFMRgO3j+zOvP/sJSOrlNQ4fdP2uio94nPbI1XQFeUizRwczT9XZfLW+iNdtqC3tCftLHrE57ZH7WfwR1E6KE9XEzcOi+N/e09wpMixww5Ky+gRn9seqYKuKA7wu7QYXIyCDzdlN7+x4nB6xOdu2bKFqKgoPv30U+6880769evn9PNsjorPVRQHuWfJNlbtK2TzX8fj7db5RzNVfK7zqfhcRdHJzcPjqDZb+VzdAKPdUPG5iqJckIExAQyI8uODjVnckBar++3IFBWfqyjKRbhpeByHi2r48VCx3k1RuiBV0BXFga5MiiDY25UPNmbp3RSlC1IFXVEcyM1k5PohMazaX0hOaa3ezVG6GFXQFcXBrh8SgwCVla60OVXQFcXBIv09GNM7lKUZOVhtdr2b06npGZ/70ksv0bdvX5KSkhg/fvwZi5n00qKCLoSYJIQ4IIQ4JIR4+BzbzBRC7BVC7BFCLHJsMxWlY7l+SAyFVWZWqxTGDqu5+NyBAweSkZHBzp07mTFjBnPnztWhlWdqtqALIYzAa8BkoC9wvRCi71nbJACPACOklP2Ae53QVkXpMMb2DiHM143F6cf0bkqXoEd87tixY/H09AQgLS2N3Fz91x+0ZB76EOCQlPIIgBBiCTAd2HvaNrcDr0kpywCklKpbonRpJqOBmanRvLrmEMfL6+jm76F3k5xqzYK3Kcx27Hzv0NgejL35jhZtq3d87nvvvcfkyZMv9FQdpiUFvRtw+tWdXGDoWdv0AhBCbACMwDwp5bdn70gIcQdwB2h3+1CUzuxUQV+6JYf7LtM3jbCz0zM+d+HChWRkZLBu3TpnnV6LtaSgN7Xc7ewAGBOQAIwBooAfhBD9pZTlZ7xJyreBt0HLcml1axWlA4kO9GRkQghLM3L487h4TMbOOwehpT1pZ9ErPnflypU89dRTrFu3Djc3N8ed0AVqyb+wXCD6tO+jgLPvipsLfCWltEgpjwIH0Aq8onRp1w+OJr+invWZRXo3pVPTIz5327Zt3HnnnSxfvpzQ0FDHncxFaElB3wIkCCG6CyFcgeuA5Wdt8yUwFkAIEYw2BNN1AhQU5RzGXxJGgKcLn209rndTOjU94nMffPBBqqurueaaa0hOTmbatGlOP8/mtCg+VwhxBfBPtPHx96WUTwkh/g/IkFIuF1oK0YvAJMAGPCWlXHK+far4XKWrmLd8D4t+OsaWRyfg5+mid3McRsXnOp9T4nOllCuklL2klD2llE+dfO5xKeXyk19LKeX9Usq+UsrE5oq5onQlMwZF0WCzs3zn2SOVirOp+FxFURyqX6QvfcJ9WLY1lxvSYvVuTpei4nMVRXEoIQS/TYliR045hwqbHqdVFEdQBV1R2sD0gZEYDYJl6uKo4kSqoCtKGwj1cWdMrxC+2JaLza6WYCjOoQq6orSR3w6K4kSlWd3NSHEaVdAVpY2M6xOKj7uJr7apYRdH0TM+98033yQxMZHk5GQuvfRS9u7de449tB1V0BWljbi7GLmifwTf7SmgrsGmd3OUZjQXnztr1ix27drF9u3bmTt3Lvfff78OrTyTKuiK0oamD4ykpsHGyn0n9G5Kp6JHfK6vr2/j1zU1NWjrK/Wl5qErShsa2j2IcF93vtp+nKkDIvVujsOU/+cwDXk1Dt2na6QX/lN7tmhbveJzX3vtNV566SUaGhpYvXr1xZ7yRVM9dEVpQ0aDYOqACNYeKKKspkHv5nQap+Jzk5KSmDBhQpPxuafics+Oz01JSWH//v1kZmYCtCo+96677uLw4cM8++yzPPnkk848xRZRPXRFaWPTk7vxzg9H+e+ufH7XSVaOtrQn7Sx6xeeect111/GHP/zh4k/kIqkeuqK0sX6RvsSHevPVdjXbxVH0iM891aMH+O9//9susmJUD11R2pgQgt8kR/LC9wfJLaslKsBT7yZ1eLNnz2bq1KmkpqaSnJzcZHyuv7//GfG5+/btY9iwYYA2/XHhwoWNr59u7ty5LFq0qDE+d86cOcybN49XX32VlStX4uLiQkBAAB988EHbnOx5tCg+1xlUfK7SleWU1jLyuTU8NKkPfxij73DFhVLxuc7nlPhcRVEcKzrQkwHR/nytInWdSsXnKorSJqYmRfDkf/dxpKiaHiHOX/HYFan4XEVR2sSVSdpila935uvcEqWzUAVdUXQS4efBkLhANeyiOIwq6IqioykDIjh4opoDBerGF8rFUwVdUXQ0uX8EBoHqpSsOoQq6ougoxMeNYT2D+HpnPnpNIe7I9IzPPWXZsmUIIWgP07BVQVcUnU1JiuRocQ178ir1bopymubicwGqqqp45ZVXGDp0aBu3rmmqoCuKzib1C8dkEGq2y0XQIz731P7nzp2Lu7u7k8+wZdQ8dEXRWYCXK8Pjg1mxK5+HJvVuF7narfXNN99QUFDg0H2Gh4czefLkFm2rR3zutm3byMnJYcqUKbzwwguOOOWLpgq6orQDVyaG89Bnu9iTV0n/bn56N6fDORWfu379egwGQ5PxuSdOnGgyPhe0Hn5mZiYxMTEtis+12+3cd999LFiwoA3OruVUQVeUdmBi33D++sVu/rsrv0MW9Jb2pJ2lreNzq6qq2L17N2PGjAGgoKCAadOmsXz5clJTm4xZaRNqDF1R2oEAL1eG9wxixS412+VCtHV8rp+fH8XFxWRlZZGVlUVaWpruxRxUQVeUduPKxAiyS2rVbJcLMHv2bDIyMkhNTeXjjz9uMj535syZZ8Tnzpo1i2HDhpGYmMiMGTOoqmp6cdfcuXOJiopqjM+dN29eW5zSBVHxuYrSTpTWNDD4qZXcOaoHcyf1af4NOlPxuc6n4nMVpYMKVMMuDqficxVF0c3k/hH89Ytd7M2vpF9kx7s42t6o+NwmCCEmCSEOCCEOCSEePs92M4QQUgih75UBRemgLu8XhtEgWLFLLTJSWq/Zgi6EMAKvAZOBvsD1Qoi+TWznA9wN/OToRipKVxHk7UZaj0BW7CpQwy5Kq7Wkhz4EOCSlPCKlbACWANOb2O7vwHNAvQPbpyhdzuT+ERwtruHACRWpq7ROSwp6NyDntO9zTz7XSAgxEIiWUn59vh0JIe4QQmQIITKKiopa3VhF6Qou7xeOELBil2OX0iudX0sKelPBEo2/CwohDMDLwAPN7UhK+baUMlVKmRoSEtLyVipKFxLi48aQuEC+UePozdIzPnfBggWEhISQnJxMcnIy7777rtPb0pyWFPRcIPq076OA09P4fYD+wFohRBaQBixXF0YV5cJdkRhBZmE1mWrYRTctic+99tpr2b59O9u3b2fOnDlt3MJfa0lB3wIkCCG6CyFcgeuA5adelFJWSCmDpZRxUso4YDMwTUqpVg0pygWa1D8cgG92q2GXltArPre9aXYeupTSKoT4E/AdYATel1LuEUL8H5AhpVx+/j0oitJaYb7upMYGsGJXPnePb/8LYg4e/DtV1fscuk8f70vo1euxFm2rR3wuwGeffcb69evp1asXL7/8MtHR0c2+x5latLBISrkCWHHWc4+fY9sxF98sRVEmJ0bw96/3cqSomh4hzh8r7sjaOj4XYOrUqVx//fW4ubnx5ptvctNNN7F69Wpnn+p5qZWiitJOTeofzt+/3ss3uwu4a2y83s05r5b2pJ2lreNzAYKCghq/vv3223nooYccdDYXTmW5KEo71c3fg+Rof77ZrWa7NKet43MB8vN/+XtZvnx5uwgqUz10RWnHrkyM4KkV+zhWUpW+TosAACAASURBVEtMkKfezWm3Zs+ezdSpU0lNTSU5ObnJ+Fx/f/8z4nP37dvHsGHDAG3648KFCxtfP93cuXNZtGhRY3zunDlzmDdvHq+88grLly/HZDIRGBjYLu5epOJzFaUdyymtZeRza3h4ch9+P7qn3s05g4rPdT4Vn6sonUh0oCcDovxUWNcFUvG5iqK0K5MTI3jmm/3klNYSHaiGXVpDxecqitKuXJmoLWpRF0eV5qiCrijtXHSgJ4nd/FRYl9IsVdAVpQOYnBjO9pxyjpfX6d0UpR1TBV1ROoAr+p8cdlEXR5XzUAVdUTqAuGAv+kX68l9V0M+gZ3wuwNKlS+nbty/9+vVj1qxZTm9Lc1RBV5QO4sqkCLYdKye3rFbvpnQJzcXnZmZm8vTTT7Nhwwb27NnDP//5Tx1aeSZV0BWlg5iSGAmg5qQ3QY/43HfeeYe77rqLgIAAAEJDQ519ms1S89AVpYOICfIkKcqPr3fmc8eo9rVq9LHMXHZXO/aCbX9vD/6eENWibfWIzz148CAAI0aMwGazMW/ePCZNmnTR530xVEFXlA7kysQInv5mv8p2OYse8blWq5XMzEzWrl1Lbm4uI0eOZPfu3fj7+zv7dM9JFXRF6UCuTNIK+te78vjjmPYTqdvSnrSz6BGfGxUVRVpaGi4uLnTv3p3evXuTmZnJ4MGDHXtyraDG0BWlA4kK8CQ52p//7lTj6KfTIz73N7/5DWvWrAGguLiYgwcP0qNHDwed0YVRBV1ROpgpSRHsyavkaHGN3k1pN2bPnk1GRgapqal8/PHHTcbnzpw584z43FmzZjFs2DASExOZMWMGVVVN35B77ty5REVFNcbnzps3D9A+FIKCgujbty9jx47l+eefP+OmF3pQ8bmK0sHkldcx/JnV/GViL/40Tr8EQRWf63wqPldROrlIfw9SYwNYviNP76a0eyo+V1GUdm96ciSPfbWHffmVXBLhq3dz2i0Vn6soSrt3RWIERoPgy+3H9W6K0o6ogq4oHVCQtxujEoL5z/Y87HZ9roMp7Y8q6IrSQU1P7kZeRT1bskr1borSTqiCrigd1GV9w/BwMfKVujiqnKQKuqJ0UF5uJib2C2PFrnwarHa9m6MLPeNz77vvPpKTk0lOTqZXr166Lvk/RRV0RenApidHUl5rYd3BIr2b0uk0F5/78ssvs337drZv386f//xnrr76ah1aeSZV0BWlAxuZEEKgl2uXn+2iR3zu6RYvXsz111/vpLNrOTUPXemc7DaoKYK6Mqiv0B7WerBZtIfBCEYXMLqBmw94BmkPr2DttQ7CxWhgSlIES7bkUFFrwc/TRZd2/O0/e9ibV+nQffaN9OWJqf1atK0e8bmnZGdnc/ToUcaNG3cxp+sQqqArHZe5CooOaI/SI9qjPBsq86D6BMgLGFc2uIBfFATEQXAChCdBRBKEXAImV4efgiNcMyiaDzdls3xnHjekxerdHF3oEZ97ypIlS5gxY0ZjToyeWlTQhRCTgH8BRuBdKeUzZ71+PzAHsAJFwK1Syuxf7UhRLlRNCRzfCvk7IH875O+EimO/vC6M4B8NAd0h/hLwiQDvMPAMBHd/cPcDFw+tYBtNICVYzWAzQ30l1JZoj8o8KMvSHtsXQcPb2v5NHhA9BLqPhB5jITIFDO1jxLJ/N1/6hPuwLCNHt4Le0p60s+gRn3vKkiVLeO211xxzIhep2YIuhDACrwGXAbnAFiHEcinl3tM22wakSilrhRB/AJ4DrnVGg5UuQEqtt529AbI3QW46lBz65fWgeIgeDINu1HrOIX0gIFYbQnEkux3KjmofIjnpkPUDrH5Se/hEQJ8p0Hc6xI7QtbgLIbgmNZq/f72XAwVV9A730a0temkuPvfxxx/HYrGwaNEiQEtKfOyxx5g9ezbe3t4cP34cF5fW//s5cOAAZWVlDBs2zGHncjFa0kMfAhySUh4BEEIsAaYDjQVdSrnmtO03A79zZCOVLqAyD46s1R5Hf4Cqk3OrPYMgeigkz4aowRAxANzbKLvEYICgntqj/8kZDDXFcGgV7FsO2xbClne04ZmBv9Pa6BvZNm07y2+SI3l6xT4+zcjh/03pq0sb9DR79mymTp1KamoqycnJTcbn+vv7nxGfu2/fvsZC7O3tzcKFC5scNpk7dy6LFi1qjM+dM2dOY4Tu4sWLue666xBCOP8kW6DZ+FwhxAxgkpRyzsnvbwCGSin/dI7tXwUKpJRPNvHaHcAdADExMYNO/xRVuhhrAxzbBIf+B5kroWif9rxnMHQfBXGXao/gXtBO/rP8SkMt7P8v/PyB1nsXRuj/WxhxN4Qntnlz7vwog63ZZWx6ZDwuRuf/xqDic52vtfG5LemhN/W/qclPASHE74BUYHRTr0sp3wbeBi0PvQXHVjqT2lLI/B8c/Ebr5ZortTHt2OGQPAt6joXQfu1mbLpZrp6QdI32KD0C6e9qxX3XUug5HsY+ClGD2qw51wyK5rs9J1izv5CJ/cLb7Ljt2d69e5kyZQpXXXVVhyvmF6IlBT0XiD7t+yjgV2uNhRATgEeB0VJKs2Oap3R4lfmw/2vY9x/I+hGkTbtY2e830GsSdB8Nbs5f7ed0gT1g0j9g9IOQMR82vQbvjoNLpsK4xyCkt9ObMKZ3CCE+bizNyFUF/aSuFp/bkoK+BUgQQnQHjgPXAbNO30AIMRB4C21opnU35lM6n8p82PsV7P1SG1YBCEqAEfdAnyvb1QwRh/MIgJH3w5DbYdPrsPHf2rDM4Nth7F/Bw3nLw01GA79NieKdH46QX1FHhJ+H046ltE/NFnQppVUI8SfgO7Rpi+9LKfcIIf4PyJBSLgeeB7yBT09eHDgmpZzmxHYr7U1NCez7CnZ9ps1OQWrDJ2MfhUumQWifZnfRqbj5wJiHYPAcWPsP7eLpns/hsr/DgOucdl1g9tAY3lp/mEU/HeOBic7/rUBpX1o0D11KuQJYcdZzj5/29QQHt0vpCBpq4cAK2LkUDq8Cu1W7iDnmEeh3FYT00ruF+vMKgitfhIE3wIq/wJe/h52fwLR/a/PmHSw60JNxvUNZnH6MP42Lx82k/2IXpe2olaJK69jtWg98xxJtSKWhGny7QdofIWkmhPVvv7NS9BSZDLd+D1vnw/ePwevD4PInIeUmh/+8bhgWy6r5hXy7u4Dpyd0cum+lfeukA5mKw5VlwZp/wL8GwAdTtDHyvr+Bm76Ge3fDxL9rU/VUMT83gwEG3wZ/3ATdBsJ/7oEls7TZPw40KiGEuCBPPtzU+acF6xmfe+zYMcaOHcvAgQNJSkpixYoV59hD21EFXTk3Sx3s+AQWTNEK+brntEU2V78DfzkIv3lNWwrfWS9wOktALNzwFUx6Bg6thDdGaDOAHMRgEPwuLZat2WXsPl7hsP12Nc3F5z755JPMnDmTbdu2sWTJEv74xz/q0Mozqf+Jyq/l74T/PgAv9IYv7oCKHBj7/+DeXXDjl9rQiqun3q3s2AwGSPsDzFmpZcx8MBXWPa8NaTnANYOicXcx8FEX6KWDPvG5QggqK7WEyYqKCiIj9VklfLpmV4o6S2pqqszIyNDl2EoTzFWwa5m2MCZvG5jctdkpKTdA7KWqF+5M5mr4+j5tQVKvyXDVmw6Z3vjI5zv5/OfjbHh4HMHebg5o6JnOWMX4zcNQsMuxBwhPhMnPnHcTb29vqqursVqt1NbWnhGfm5mZSXZ2NldffTU///wzdrudhIQE0tPT2bp1K8uWLeOtt95qjM+dO3cuMTEx9OjRg40bN/4qcfHUsU7Jz89n4sSJlJWVUVNTw8qVKxk0yLELyZyxUlTpzPK2axfqdi3TLnCG9oPJz2m9cI8AvVvXNbh5w9Vva1k13z0Cb4+B6xZB2MVlsswZ2YMlW3KYv+EoD17euaeN6hGfu3jxYm6++WYeeOABNm3axA033MDu3bsx6Nj5UQW9K2qo1eZEZ7yvRdKaPLTwqUG3QFRql7+wabVbqbHUYLaZsUs7VrsVIQRuRjdcDC54mjxxcXSyoxAw9A4te33pjfDeZdq1ij5XXPAue4Z4M7l/OB9uzObO0T3xdXfizS+a6Uk7mx7xue+99x7ffvstAMOGDaO+vp7i4mJCQ0MdeGatowp6V1J8SCvi2xdqd/AJ7g2TntUWujhxBWN7Ut1QzdGKo+RW53K8+jjHq49TWFtISV0JxXXFVDZUUmeta3Y/Xi5e+Lv5E+QRRDevbnTz6Ua0TzQJ/gnEB8TjYbrAVZoxaXDHWm32y5JZMOEJGHHvBX/I/nFMPCt2FfDRpmzuGht/YW3qAPSIz42JiWHVqlXcfPPN7Nu3j/r6ekJCQhx6Xq2lCnpnZ7PCwW9hy7twZA0YTNrY+ODbtBzvTtobt9ltHKk4wv7S/RwoPcCBsgMcKT9CYd2ZyRQBbgGEeYUR5BFET/+eBLgF4OXqhbeLN25GN0wGEwZhQEqJxW7BbDNTY6mhwlxBmbmM4tpidhXv4n/Z/8MqrQAIBHF+cSSHJJMSlsKg0EFE+7ZiEZFvJNy8Ar66C1bOg8L9MO0VMLV+HLx/Nz9G9wrh/R+PcuuI7ni4ds6FRnrE57744ovcfvvtvPzyywghWLBgge4xuuqiaGdVXahd4MxYAJW52uKf1Ftg4I3gE6Z36xyupK6E7UXb2V64nV3Fu9hbsrexp+1qcCU+IJ54/3i6+3Wnh18PYnxiiPSOxNPFMbN1rHYredV5ZJZlcqDsAHtL9rKtcBuVDdosiBifGEZFjWJk1EgGhw/GxdCC3qCUsP55WPOU9uF77ULtDkytlH60lJlvbeJv0/px0/C4Vr//XFR8rvOpi6JdmZSQuwXS34E9X4DdAj3GaOObvSZrt17rJIpqi0gvSGdLwRa2nthKVmUWoBXvPkF9uCr+KvoH96dvUF9ifWMxGZx77iaDiRjfGGJ8YxgfOx4Au7RztOIo6QXprM9dz6cHP2XhvoUEuAVwWexlTO4+mZSwFAziHBfRhIDRc7Ukxy//CO+Oh1mfQnDrhk6GdA9kcFwAb607zHVDortUHEBXi89VPfTOwFKnzVLZ8o52uzQ3XxhwvRYM1UnyVGosNWwp2MLm/M1sytvEkQotEtXHxYdBYYNICUthYOhA+gb1xdXYPm/mXGetY2PeRr49+i1rc9ZSb6snxieGGb1mMD1+OoHu5+l9H9usjalLO1y3GGJbd8uzHzOL+d17P/HoFZdw+6geF3kmmo7SQ+/IWttDVwW9Iys9ChnvabdCqyvT7q85ZA4kXdfhM8allBwsO8iPx39kQ94GthVuw2q34m50Z1D4INLC0xgSMYTeAb0xGjpej7PWUsuqY6tYdnAZPxf+jIvBhcndJ3NTv5voFXCOD+HSI/DxNVB+DH7zBiTOaNUxb56fztbsMtY9OJZAr4v/0FMF3flUQe/s7DZtuXj6O9qfwgCXTIEhd3T4i5z11np+yv+Jdbnr+OH4DxTUFADQO6A3I7qNYHjkcAaGDmwXPXBptSLNZqTVCkYjwmBAmEwI19a37VDZIZYcWMLyw8ups9YxInIEtyXexuDwwb/euLZU66kf2wTjH4dL72/x33nmiSom/esHbkiLZd60fq1u59lUQXc+VdA7q5pi2PaRNu2w/Jh2159BN2sPnW5M7AgldSWsy13Hmpw1bM7bTL2tHk+TJ8MihzEqahSXdruUUM+2mdcrLRYseXk05ORiyc3FUpCPtbAIa1ERtpISbJWV2CorsdfUgM3W5D6EqysGLy8Mvj6YQkIwhYTgEhqGa1wsrnFxuHbvjiksrMnZEOX15Sw9uJRF+xZRUl9CalgqfxjwBwaHDz5ze0u9NgNm9zLt5tRT/gktnBf/6Be7+GRLDt/dN4qeIRf3W5wq6M6nCnpnIqXWE8t4X0s3tDVA3EhIvRX6TAGT/j3VC3Gs8hirjq1i9bHV7CjagUQS6RXJ6OjRjIkaQ2p4qlN74dJqpSEri/oDBzAfOIj58GEajhyhIScHrNZfNjQaMQUFYQoNxRgUiNHXD6OvLwZvbwzubghXN4TJiLRLsNuQFgv2mhps1dXYKyqxFmkfBpYTJ5B1v8xtN/r7496vH+79++M5KAWPlBSMpyX51Vvr+SzzM97b9R5FdUUMDh/MPSn3MCBkwGknIbX0y/XPaTfVnvlRi9YSFFebGfP8WtJ6BPHuTU3WhBZTBd35VEHvDGpLtZsgbF0ARfvBzQ+Sr9dWcnbAO/9IKTlQdoCV2StZdWwVh8oPAdAnsA/joscxLmYcvQJ6OWUOr7TbacjKom77Dup376Zuz27M+w8gzSdve2sy4RoXi1v3Hrj27IFrTCyu0VG4REVhCg1FNDEvudVtkBJrYSENR7MwHzlM/d691O/ZizkzU/sAMRpx79sX75GX4j1mDO79+yMMBsw2M8sOLuPtnW9TWl/KuOhx3JNyDz38T7uouX0RLL8bArvD9Uu0NMxmvL72EM99e4C3bhjE5Rdx79H2UNDPzldxhkcffZQPP/yQsrKyM46VnZ3NrbfeSlFREYGBgSxcuJCoqCiHHlsV9I7KbofsH+Hnj072xs3avTdTb9WW5bu2bDlye2GXdnYW7WRl9kpWHlvJ8erjGISBgaEDGR8znnEx4+jm7fibL9jr66nbuZO6n3+mduvP1O3cib1Ci5A1eHri3rev1jvu1xe33r1x6979gsa9zzimXdJQZ8VitmGz2rHbJNIuEUJgMAoMJoGruwlXDxMGwy8fWva6Oup27KA2PZ2azT9Rt3072O0Yg4LwmTAB38mT8RycSp3dzMJ9C5m/ez511jp+m/Bb/pD8B4I9grUdHf0Blt6g9dpnfgg9Rp+3vQ1WO1e9voGCinq+u2/UBQd3dfaCLqVESkl6ejqxsbEkJCSccaxrrrmGKVOmcNNNN7F69Wrmz5/PRx995NA2qILe0ZTnaHf/2b5Qu4mEm58WjDXoJi1trgOx2q1sPbGVldkrWX1sNYV1hZgMJoZGDOWymMsYEz2GII8ghx7TXltL7c/bqN2yhdr0dOp27waLBQC3hHg8kgfikZyMx4AkXHv0QLQyOMlcZ6WisJaKojqqS81UldZTXVZPXVUDtZUN1FVbsNQ3PZ7eFFcPE15+rnj5u+Ed4IZfqCcBYZ74h3vi42ahbuMGqtespmrNWmRdHcaQYPyuuBK/315NXUwIb+54k6UHluJqdOW2xNu4se+NuJvctRkwi66D0sMw+VlIve28F0sPFFQx9d8/MrZPCG/+btAF/XbUngp6dXU106dPp6ysDIvFwpNPPsn06dN57LHHCA4O5p577gG03nZYWBh33303zz//PEuXLsVsNnPVVVfxt7/9jaysLCZPnszYsWPZtGkTX375JbGxsWcc65R+/frx3XffERUVhZQSPz+/xjhdR1EFvSMwV8P+r7Vfl4+uB6Q2Np5yozY23oGyxhtsDWzO38zK7JWsyVlDubkcd6M7l3a7lAmxExgVNQofVx+HHU82NFC3Ywc1mzZTk/4TdTt2agXcaMSjf388B6fikZqK58CBGP38Wrxfc62FkuPVlByvoTSvhtL8GspO1FJX2XDGdq4eJrwD3PD0dcXTzxUPb1dcPUy4eZhwcTdiNBm0XrlBYLdL7DaJzWqnoc5KQ52V+lorteVmqsvNVJfWU1Pxy/6NLgaCo7wJjfUlLModv8I9WFb/l+p168Fiwb1/f/xnzKB8VCL/3P8Wq3NWE+4Vzr0p93JF9ysQ5kr4bA5kfg/Js7V7mbqcO1PmrXWHefqb/bw0cwBXp7R+qOD0YvNs+rPsL93f6n2cT5/APjw05KHzbqNnfO6sWbMYOnQo99xzD59//jm//e1vKS4uJijIcZ0WtVK0vbJZ4PBq7YbKB1aApRYC4mDMw1o4VkCc3i1ssVpLLRvzNrLy2ErW5ayj2lKNl4sXo6JGcVnsZYyIHOGwJfVSSswHM6nZuJGaTRup3ZKhXWA0GHDv14+gm2/Cc8hQPFMGYmhhSl5ddQOF2VUUZVdSmF1FcU41VaX1ja+7epgIjPAiLjEI/1BP/EM98Q3xwCfIHTePX/7L2G02qktLqCotobq0hJryMuqqKqmvrqS+uhprgxmL2Yzt5G8MAAhwcXXDzd0D7zh33Dy9EQYvbDYPGuo9qC6DfRur2dVgB9zwDZlNt/tuJ7jyAMa1n1Iwbx4GLy8enjaVGy/7G8+WLOHhHx5m0b5FPDj4QZKvXwJrn9Eulhbsgms/Oue/rTkje7By3wmeWL6HQbEBxAZ1rGG90+kRn/vCCy/wpz/9iQULFjBq1Ci6deuGyaRvSVU9dGeyWSDrB9j9Oez7D9SXaxnj/a6CxJlasl4HmTdeYa5gXe46Vh9bzYbjG6i31ePn5se46HFMiJ1AWkSaw2amWAoLqd20ieoNG6jZtAlbUTEArt274zV8OF7D0vAcMgSjr2+z+7JZ7RTlVHHiSCUnjlZwIquSyuJfird/mCfB0d4ER3kTHOVDUDcvvPzdGocgpJRUlRRRkptDWV4upXm5lOXnUVFYQGVxEfLsOwwJgbunF27e3ri4uePi6obJxRUTLhikESEN2BoasDSYsZjrqa0qw2ypxyYt2E6Ge5lcXfENicTNKxybLYiqMl/s9mCMLq5EhBsJKdmB9/oluNaU4jF0CJnje/GM60oKzcVMjJ3IvYPuJTpvD3x+Bwi0aY39r27y53OspJbpr/1IgKcrn/1hOAGtWHDUnoZcFixYwDfffMPChQsb43PXrl1LXFwcn3zyCRs3bqSgoICbbrqJK664ggceeIBevXo1GZ87ZcoUdu/efc5jNaW6upo+ffqQm5vr0PNTPXS9WergyFqtgB9Yoa3gdPWG3ldo/6l6ju8w0w0LagpYfWw1q3NWk1GQgU3aCPUI5aqEq5gQM4GUsBSHZKTY6+upzdhKzYYN1GzYgPngQQCMAQF4DRuG14gReA0fhksTtwE7W111AwWHK8g/XEHB4QoKs6uwWbWi6x3gRlicL/1GdSMs1pfgGJ8zetyW+nqKjmVxOOMIhVlHKDqWRUlONg2nTTl09/LGPyKSiIQ+9BkxBj//EHxcAnHHCxeLK6Ie7BUN2KoasNdYsNdYkWeNsUskdleJzdUOJ0ejBGAwGsFFYsFMjbWCssoCymuOIy07qbSWIXz8ycuJ5JglAkPq/yPUx07w4TWEPv8lb4T6cmBcGi9a1zM9Zw3X9r6WO27+DwFf3w/LbtEWoU1+FtzOHP6KCfLknRtTmfXuT9zxUQYf3TYUd5eOt/JWj/jc4uJiAgMDMRgMPP30041Z63pSBd0RKvO1ccuD38LhNWCt0y5u9p4Ml0yF+PHnHctsL6SU7Cvdx9qctazNWcu+0n0AdPfrzi39b2Fc9Dj6Bfc7d5hUS49jt2M+cEAbRtmwgdqMrciGBoSLCx6DBhFy//14XzoCtz59znsRU+s915N3qJz8QxXkHyqnrKAWAINREBLjQ/8x3Qjv7kd4Dz+8A36ZzWEx11N49CAnjmRScOQQhUcPU3o8Fym14u/u5U1wTBx9R40jODqWoKAofEyBGCoF1sJaLIW1WDPrsNdYADNWzDRgp9rdQo2XhWrXBmo8zdR41lNjq6fOaqbeWk+DrRppqMVkbMBksmAw2BDCjhB2pDQgMGGUrphsnrh4eOFmCcXX2pMo6YmH3YS9rpIqCiht2E1JiZ183wiMafcSYrcS+t0qXq0xcGRoOK8Xf8yXYV9yy+Ab+V33kXhu+Bdkb4Cp/9IC206TGhfIi9cM4M+Lt/Hgsp3869rkM2bjdAR6xOeuXbuWRx55BCEEo0aN4rXXXmubkz0PNeRyISx1WljS4dVwaBUU7tGe94uB3pOg1yTtImcH6InXWmrZnL+ZH47/wPrc9RTWFiIQDAgZwNiYsYyNHkt3v+4XfRxLXh41mzZRs2EjNZs3YystBbSZKF7DR+A1YjieqakYPM899i7tkpK8GvIPlTcW8ZpybT65m6eJ8J5+RPT0I6KnP6GxPphOZn/bbTaKc7IpOHyQgkPaozjnWGPx9goIJKx7T8J6xBMa24PgwGhca92w5NdgyaumIb8G+2kXR6WHgaoAGxWe9ZQaqimzVFFaW05ZZTkGgxlPzwo8PCrx8KjG28eMwcNClYsb5UZ3SoU/FdKP4oZAKhr8qW1wA4sBN4sVo60BF3sDBhowCIkwCIxGicFVYjJa8DPUEGCrIrDaRmClJz7VMXhU+iFrK6ioK6bYYkSaoggrLyUifwtVEcUs7ldC9iWB3Bw9nmu3fYVn6RHtgunEJ38VxfvG2sM8++1+pg6I5IVrkppNZWwPQy4toeJzlTNZ6iA3A7I3amPiOT9pqzYNLlrq3WX/B/ETILRvux8Tl1JyqPwQG/M28uPxH9l6YisWuwUvFy+GRQxjTPQYRkaNPH/yXwtYS0q0+dU//UTtps00nPwV2BgSjNelI/AaNlwbRgk7dza7zWKn8FgV+YfKtcfhCsy12jizl58rkQn+RMT7E5ngT2CEF8IgTvbaizny8ybyDx0kP/MAJ44ewnpyIZG7tw/hPRPoOTiNsO7xhATF4lJlouF4NZbcKhr21FBdf1RrgEFgD3GhPMJMaUwNRdYKiqpLKC4tQZZZ8Goox9unnKDAehJiK6hzMZMjAsglmmxrErk13aiu8iX8RB5h9Zn4ymyMhsPYjVV4mMzYTFYwSKqMBgoMBqxGAWfXUAmudRIfux0vO3jbDHjYXHExeoHfIWRgEAZXfzxdPLmkxkpoYRl4Co74D6Ta6slVPxfiu2kvq+M/ZcbgAKZHT+a63UvxO/gtjH5IW6x2suPx+9E9EAKe+WY/JyrrefuGQfh7tv9Oyfmo+Nw20m576FJCZZ6WK567BXLSIW+bli2OgPD+0H209mtrzLAOkWpYWFvIT/k/sTl/M5vzNjfetSfeP57hkcMZFTWKlNCUi7pPprWkhNotGY3zwc2ZmQAYLgnXEgAAEvZJREFUvLzwHDwYr+HD8ExLwy0h4ZxznuurLRQc0ca/8w+XU5j1y/i3f5gnEfF+RJ4s4D5B7gghMNfWUHA4U+t5Hz5I/qGD1JRpvX+jyURo956Ex/ciokcvQsN64GH21Ir38WoacquR9SeX+hsFtjAXyv3NlLjUUNRQRkF5EWVlZRgMVry8SwkOqiEoqBo3j2IKhZ2jxJEle/z/9s48No7rPOC/b2fvJZc3uSJ1UKKo05YtH1KcBE6Qo3ESIAfqwHGLIkXSpm6RBCgaFC3aBkWQIgkSFGiDtEiapkaaxkWQxq3dGLVTpGgax4gtKZZpHdZBUhTvc7n3zs7M1z9mRVMUZfGSRDLvRwz3zXvfzr7vzZtv3rx5731cLO9maLadlplxuvInaOQ1CI6SjeQYDitDQQudp3PUg2YN0hiIUx9MUBtKUBuuJRaMEQ6ECVkhXM/DdsrYrk2+nGPWzpJxcmS8AmmxmbY8Klcd06OjAvWVBGFtJGClaAik2DcZIToUp5BzqZ8cZSrWwwuHZtizLcYjw+forN0G7/wLOPAhqK5a+fTJYf7o+yfZ1hjj737zXvamFh92ulFa6BsZMw59Oaj6C12N9vjbyMu+8c6N+elWBNrvhm1HYMdbYftRf5TKOkZVGcmPcGL8BMfHjnNs9Nic84eGSANHtxzlTVvexFs63kIqsbJp36pKZWCAwi9/SfH4cQrHjmP3+a1aicWIHz5M/MgREg+8iejBg8giQ7k812N6JM9odfTJaG+G9Fi1/zsgtOyovaoLJZ4MU7HLTPT3MXrxvN/3feEc08Ovjypo2NJOavdetnTtIdXaRW2gEWe06BvvoRxafN14O63BOeM9XplhbGaCdDo9Z7xbW4o0NuWIRscYx6WPnVzULi7Y+7mc3kLb9Ah788do5DReZJSJSIHzEYtitc/fUthKhF2RVvY27WZX80G2p+5ma9M+kuHkqpc5UFUmZi9x9tILvDpwnHNTZxm2RxkJlkhb/rFFla0VpcVOENVW4tLOjkwrLX0JAuPDDCXPMrNnjAdD47w9toXIA5+Cu38DQjFe7Jvmse8eJ1Os8NjbuvjUO3Zf87L0zJkz7Nu377a7XdusqCpnz541Bv0aPM93wzZ5DibPw/gZf5s4C+UrM7sEWvZC+2F/yn3Hvf5MzXXeD15ySpyZPsMrE6/QM9nDy+MvM1bwb0hXnD/cl7qPI6kj7G3cu6IXmm4mQ7Gnh1JPD8WTr1A8eXKuDzyQTBI/fJjYffeSuP9+34AvGC2gnjI7UWR8wB/3Pd6fYWIgi2P7re9YbYi2zuScAW/ZkUTdMhOX+hnvv8hY70XG+y4wNXQZr7rKYbyu3m9579xDqqmLunALMu1iD+eojOTRsi/nWVBsgdmkzXQox6Q9y1h6gmw2SzBYJpGYoaW1SGNDjkhsnHH16KeTfnZxobKf/tkOaqbTHMwep9XrwQoPMhXNci5ikbX8sowo7A4kubOhiwOpe9m/4+10NR1Y1RPPahibvshPXv4Pjl/+GUOlAQZDrxv5iKfssAPUO3XEtI1Gu4NdryXIFHoh1cN9bWXuP/BhQnc9ynTdQb7wzBl+eGKInc0J/vDde3jvHSlCVb37+vqora2lqanJGPU1RlWZmpoim82yc+fV77B+NQx6OQuzg36Le+YSpC/5DiCme/0p9fM9ucca/f7u1n3QdhBSh6B1/7pfL2WmNMP5mfOcT5/nzNQZTk+fpjfdi6u+8dqS2MJdLXdxuPUw97TdQ3d997KcP6gqzsSEvwLha2cpnjpF6dRpKgMDczLhzk5/Kv1hf0p9pHv3VSNRKmWXmdE8k4M5f7ucZXIwNzc93goFaNlWQ2tnktYdSVo7a1AnzdTgABMD/UwO9DMx0Ed6dGTumLFkHamd3XS076W5fjtJq5FABiqjeZzJIqg/FLAQtv2XlYkyM4E8U+VZJmYm8bwSsViGRGKW5habZG0GDacZJMFltnNJd9BX3sdgppW69BT7sydp9U4RDA0yG52lNwLj1acMS2GXxDlU38Vd7Uc50Pkuupr23nQXd6tBVTl/+ThPH3uCcxO/ZJwpBsIudnUkS73r0W6HqHUaiHutNORaSA1mSDWf564jR8nVvZPP/iLKuUmb9rooH3tzJx++p4OGqMXg4CClUukGOTCshGg0ytatW68ZTrm5DPrlF/0hgtkRyI76QwYzg1CavVouGIWGnb4/xsad0NwNTd3+Z6Jl3b68tF2bwdwglzOXGcgO0D/bT1+mj950L1OlqTm5xmgjB5oOsL9xPwebD3Ko+RAt8ZYl/Ya6rr/ud/8l7L4+yr0XsS9cpHzxIu7MzJxcqKOjupjVAaJ33knsjjuw6upQVYrZCrPjBWbGCqRH/c/p4RyZqRJUq1QwYtHcUUPzthrqWgNEY3ncyjTpsRF/ks7QZaZHhl6fSSlCKrWLVFs3LQ3bSUaaiXpxmHVwpkqo61GiQiZQJFdTIRevkAkWSTs5pnPTBKxZorEssViWZLJIbbJIJVphTKKMkmJIt3Kp3MlooQN31mVX5jzt9hlqpQ8vPM5spEBvOMBUdXSHKGyTCAdrtnEodQ937Hw3+1rv9tdO2eDYdoFnXvoBz5/9EeP2JSaDeYZCilu9LuKeR7ttkXTjxNw6om4D9aUEyQyccpOckUO0bd3NOw+keKCriQNb6oiFN9749Y3Iqg26iDwE/A3+O/hvqeqXFqRHgO8A9wJTwCOq2v9Gx1yxQX/h6/Dcn/sOHmpTUNsOdR2+V/u6rVC/A+q3Q03rujLajueQsTNMFaeYLk0zVZxivDDOeHGc8cI4I/kRRnIjTBYnUV4/J7XhWnbV7aIz2Ul3Qzfd9d10N3TTHGte9DFXVfFmZ3EmJ/21uEfHcMZGqQyP+E4bhoawh4fnFrACv9sk0tVFZHcXkT17sbq68VKdlLwIuXSZfLpMdqpEdrpEZqpEZqJIpfz6ZBmxPJKNHok6h0i8TDBYwPMylPPTZCcnSI+NUM7nCUmYaLCGeDBJY0M7DXVbSMZaiFs1BCsh7LxN0S1TkDJ5yuStMoWoQz5YphicocQkVjBDOFIgEi5iRUt4NWGKsTDpQIQpGhm1U4yW20gX6wnnKzQXhmiq9FPjDRMKTOCEZsmFSgyFhZF5ffshhU6Js692Gwfb7mbf9rext+0wNeH1/9J7rZjJTvJvP/sOpwdeYNYZIR3MMhF0mAle3U3X5Hg0OBZxL0zEixHWGCEvTtCNE3VjxKmluX4Hew4+yPad3bQmYyRjQdMts0asyqCLiAWcA94NDAIvAY+q6ul5Mn8AHFLVx0Tko8CHVfWRNzruig26Uwax1sSDvariqIOnHq7nUvEqOJ6Dqy6O51DxKlTcCrZnY7s2Fa9C2S1TdsqU3BJlt0zRKVJ0ihQqBfKVPPlKnoJTIGNnyNk5MnaGdDlN1s5e8/uiSo3ESEVaaI+00B5pIxVupj3czJZQM22hRmrdMFoq4hVLePm8vxXyeLkcbiaLm8ngzKapzGRw0hkqs1k8F7xAEC8QxA2E8awwWtcILe3Q2ILWt+DWNODEarCtKGXbo5QvU8qXKGYLVEolVCugNmgF0QqhoEMk4hEKeYTERbSCuA6ebaOOYkkYy6pugTBWKEIoGkWCFhIElwqVQJlKsIRtlSmGypSCFcphh2KoQtnysAOCHQxSkQAVCeJ4goOF4yquIziOglMh4FYQt0zIyxHSHBZ5RPK4gRIVyyYfdEhbMGkFKC+YmFTrCe2BODvjbexu7GZX2110dTzA9rrOdd1tcjs5M/Aqzzz/BEPT58nrNKVAjmKgRMZymA7q3IvghViqxD0l7kHUCxBWIaQWQbWwqluAIAG1CGAh1c8AQT+sFgECftxcmoUlASyCBCWEFbAIBUKEgxFCgRDBYIiwFSESiRCNJIgEo8TiNcTiNdQk4sRj9cTiCWoTddQk127RuFvJag36A8Bfqup7qvt/CqCqX5wn82xV5gURCQKjQIu+wcFXatA//bUPciF6cdnfM6yc+e2q5XTQ6byQVg+k8+IV0GqcB7jifzoCDkJFuGq43xsRUKVWAyQ1SIMVozlUR1uimW31O2hv3EOq+QBbG3dTF1n6CoyGpXG29xV+/tKPuTR1jpybwaZAhRJuwMbFpiIVHHFwxMMOuNii/haAskBZBO82td4DqgTmwn5d9zd9PVytsDJv4zppzEtjwf5cnMLBwh7+9jNPrijPq51Y1AFcnrc/CBy9noyqOiIyCzQBkwsy8kngkwDbt29fUuYXEtI4jc7G78Pc6Cx++V0bK1K12CLVSi3VsP8XkEB181tfQbGwxCIcCBOxwoSDYRLhONFQnHg4QX28nrqaRmpiDdQk2qit2UJtrJHacO2qlyQwrIx9uw6xb9ehFX/fLpcZHu7l8sB5RieGmclPkSvlsCtFbLWxPRsXF09dXDxUXBQPDw8VD0VRXL/ZIIo310TQalNCUZkXnvsEqt8BRRUQXdAQmd+E0av++40UnZ/kI3pN1NXfhah3c54OlmLQF7t2FzbUliKDqn4T+Cb4LfQl/PY1/PVnnljJ1wwGwzolHInQuXM/nTvNJKXVspQmzSCwbd7+VmD4ejLVLpc6YHotMmgwGAyGpbEUg/4S0C0iO0UkDHwUeGqBzFPAx6rhh4GfvFH/ucFgMBjWnht2uVT7xD8FPIs/bPHbqnpKRD4PHFPVp4B/BP5ZRC7gt8w/ejMzbTAYDIZrWdI4LVV9BnhmQdzn5oVLwEfWNmsGg8FgWA5mWIDBYDBsEoxBNxgMhk2CMegGg8GwSTAG3WAwGDYJt221RRGZAC7Ni6oDZpcRXg03Os4bpS+WtjBupbo0s2B27Q1YSnksR5fl7F8JX+/4t1KX5Z6Thfs30mW53EpdtgMDi8SvhS5rXb8Wi7tV1/1qz0mIq+vz7axfO1R18aVVVXVdbMA3lxNeq99abvpiaQvjVqoL/jDQNdNjubosZ/9K+HrHv5W6LPecLFeXta5fa6kLMLHU+nUr9VihLjftul/tOVlYn29n/XqjbT11uTy9zPBa/dZy0xdLWxh3q3RZyjGWo8ty9p++jsxKWY0uyz0nC/c3si7p68Svx/q1WNxGuFbWW/26Lrety8VwLSJyTK+zitpGYzPpsp4x5Xxr2CjlvJ5a6IbqwmWbhM2ky3rGlPOtYUOUs2mhGwwGwybBtNANBoNhk2AMusFgMGwSjEFfI0TkIRF5TUQuiMifXEfmQRE5ISKOiDx8q/O4GkTk2yIyLiKv3u68bFbWsoxF5BkRqV+LfG12llLuIvL4RrhmjUFfA6qOtL8OvBc4ADwqIgcWER0Afhv43q3L3ZrxOPDQ7c7EJudx1qiMVfV9qpq+saSBNSr3qh24rRiDvjYcAS6oaq+q2sC/Ah9cKKSq/ar6Cr7Dw0URkYSI/EhETorIqyLySDX+XhH5XxE5LiLPisiWavxuEfnvqvwJEem6GQqq6k+5gRcqEflINc8nReSn1ThLRL4iIi+JyCsi8nvz5P9YRHqq8l+6GfneSCyxjB8Xkb8Xkf8RkV4ReVu1hXlGRB6fJ9cvIs0i0llN+wcROSUiz4lI7GbrspFYSrlXeVBEfl4t94cBROTt1XPxPaDnpmZ0CSxpPXTDDVmKI+2l8hAwrKrvBxCROhEJAV8DPqiqE1Uj/1fAx4F/Ab6kqk+KSJTbe5P+HPAeVR2a97j/CWBWVe8XkQjwvIg8B+wDPgQcVdWCiDTepjxvRBqAdwAfwJ+s8hbgd4CXRORuVX15gXw38Kiq/q6IfB/4deC7tzLDm4QtwFvx6+5TwA+q8UeAO1S173Zl7ArGoK8NS3KSvUR6gK+KyJeB/1TV/xORO4A7gB+LCPieo0ZEpBboUNUnYc7RyO3keeDxqtH4YTXu14BD8/of6/ANzLuAf1LVAoCqGh+0S+dpVVUR6QHGVLUHQEROAZ3AQoPeN8/IH6/KGJbPv6uqB5wWkbZ58S+uB2MOxqCvFUtxpL0kVPWciNwLvA/4YrU1+yRwSlUfmC8rIskV5vemoKqPichR4P3AyyJyN/7N7tOq+ux8WRF5iJXf9H7VKVc/vXnhK/uLXdPzZVzAdLmsjPnlOL8Rl7/VGbkepg99bViKI+0lISLtQEFVvwt8FbgHeA1oEZEHqjIhETmoqhlgUEQ+VI2PiEh8DfRZESLSpaq/UN894ST+Te5Z4Per3UaIyB4RSQDPAR+/kl/T5WIwrB5j0NcAVXWAK460zwDfV9VTACLyeRH5QDV8v4gM4vtf/Ub1EXkhdwIvisjLwJ8BX6i+aH0Y+LKInMR/pH5zVf63gM+IyCvAz4HUzdBRRJ4AXgD2isigiHxiEbGvVF9yvgr8FDgJfAs4DZyoxn8DCKrqf+Hf9I5Vdf3szcj3RmKJZWxYYzZTuZup/waDwbBJMC10g8Fg2CQYg24wGAybBGPQDQaDYZNgDLrBYDBsEoxBNxgMhk2CMegGg8GwSTAG3WAwGDYJ/w+lu95/qyoXxwAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "k = 25\n", - "H = 20\n", - "S = 1e-4 / H\n", - "t = np.logspace(-7, -1, 100)\n", - "rw = 0.2\n", - "rc = 0.2\n", - "delh = 1\n", - "ml = ttim.Model3D(kaq=k, z=np.linspace(H, 0, 21), Saq=S, tmin=1e-7, tmax=1)\n", - "Qslug = np.pi * rc**2 * delh\n", - "w = ttim.Well(\n", - " ml, tsandQ=[(0, -Qslug)], rw=rw, rc=rc, layers=np.arange(8), wbstype=\"slug\"\n", - ")\n", - "ml.solve()\n", - "hw = w.headinside(t)\n", - "plt.semilogx(t, hw[0], label=\"inside well\")\n", - "h = ml.head(0.2 + 1e-8, 0, t)\n", - "for i in range(8, 20):\n", - " plt.semilogx(t, h[i], label=\"layer\" + str(i))\n", - "plt.legend()\n", - "plt.xticks(\n", - " [1 / (24 * 60 * 60) / 10, 1 / (24 * 60 * 60), 1 / (24 * 60), 1 / 24],\n", - " [\"0.1 sec\", \"1 sec\", \"1 min\", \"1 hr\"],\n", - ");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Head Well" - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n", - "self.neq 1\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=1e-5, tmin=1e-3, tmax=1000)\n", - "w = ttim.HeadWell(ml, tsandh=[(0, -1)], rw=0.2)\n", - "ml.solve()\n", - "plt.figure(figsize=(12, 5))\n", - "plt.subplot(1, 2, 1)\n", - "ml.xsection(0.2, 100, 0, 0, 100, t=[0.1, 1, 10], sstart=0.2, newfig=False)\n", - "t = np.logspace(-3, 3, 100)\n", - "dis = w.discharge(t)\n", - "plt.subplot(1, 2, 2)\n", - "plt.semilogx(t, dis[0], label=\"rw=0.2\")\n", - "ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=1e-5, tmin=1e-3, tmax=1000)\n", - "w = ttim.HeadWell(ml, tsandh=[(0, -1)], rw=0.3)\n", - "ml.solve()\n", - "dis = w.discharge(t)\n", - "plt.semilogx(t, dis[0], label=\"rw=0.3\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"discharge (m3/d)\")\n", - "plt.legend();" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.13" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autoclose": false, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": false, - "user_envs_cfg": false - }, - "varInspector": { - "cols": { - "lenName": 16, - "lenType": 16, - "lenVar": 40 - }, - "kernels_config": { - "python": { - "delete_cmd_postfix": "", - "delete_cmd_prefix": "del ", - "library": "var_list.py", - "varRefreshCmd": "print(var_dic_list())" - }, - "r": { - "delete_cmd_postfix": ") ", - "delete_cmd_prefix": "rm(", - "library": "var_list.r", - "varRefreshCmd": "cat(var_dic_list()) " - } - }, - "types_to_exclude": [ - "module", - "function", - "builtin_function_or_method", - "instance", - "_Feature" - ], - "window_display": false - }, - "widgets": { - "state": {}, - "version": "1.1.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/well_near_river_or_wall.ipynb b/notebooks/well_near_river_or_wall.ipynb deleted file mode 100644 index da66783..0000000 --- a/notebooks/well_near_river_or_wall.ipynb +++ /dev/null @@ -1,252 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "## Comparison of `HeadLineSinkString` and `LeakyLineDoubletString` vs. image well" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Consider a well pumping in a phreatic aquifer with $S_y=0.1$. The hydraulic conductivity of the aquifer is 10 m/d and the saturated thickness may be approximated as constant and equal to 20 m. The well is located at $(x,y)=(0,0)$. The discharge of the well is 1000 m$^3$/d and the radius is 0.3 m. there is a very long river with a fixed head located along the line $x=50$ m. The head is computed at $(x,y)=(20,0)$ for the first 20 days after the well starts pumping. The solution for an image well is compared to the solution using a `HeadLineSinkString` element of different lengths." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 2\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ml1 = ttim.ModelMaq(\n", - " kaq=10, z=[20, 0], Saq=[0.1], phreatictop=True, tmin=0.001, tmax=100\n", - ")\n", - "w1 = ttim.Well(ml1, 0, 0, rw=0.3, tsandQ=[(0, 1000)])\n", - "w2 = ttim.Well(ml1, 100, 0, rw=0.3, tsandQ=[(0, -1000)])\n", - "ml1.solve()\n", - "t = np.linspace(0.1, 20, 100)\n", - "h1 = ml1.head(20, 0, t)\n", - "plt.plot(t, h1[0], label=\"river modeled with image well\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\");" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 6\n", - "solution complete\n", - "self.neq 11\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(t, h1[0], label=\"river modeled with image well\")\n", - "for ystart in [-50, -100]:\n", - " ml2 = ttim.ModelMaq(\n", - " kaq=10, z=[20, 0], Saq=[0.1], phreatictop=True, tmin=0.001, tmax=100\n", - " )\n", - " w = ttim.Well(ml2, 0, 0, rw=0.3, tsandQ=[(0, 1000)])\n", - " yls = np.arange(ystart, -ystart + 1, 20)\n", - " xls = 50 * np.ones(len(yls))\n", - " lss = ttim.HeadLineSinkString(ml2, xy=list(zip(xls, yls)), tsandh=\"fixed\")\n", - " ml2.solve()\n", - " h2 = ml2.head(20, 0, t)\n", - " plt.plot(t, h2[0], \"--\", label=f\"line-sink string from {ystart} to {-ystart}\")\n", - "plt.title(\"head at (x,y)=(20,0)\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\")\n", - "plt.legend();" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The solution is repeated for the case where there is a long impermeable wall along $x=50$ m rather than a river." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 2\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ml1 = ttim.ModelMaq(\n", - " kaq=10, z=[20, 0], Saq=[0.1], phreatictop=True, tmin=0.001, tmax=100\n", - ")\n", - "w1 = ttim.Well(ml1, 0, 0, rw=0.3, tsandQ=[(0, 1000)])\n", - "w2 = ttim.Well(ml1, 100, 0, rw=0.3, tsandQ=[(0, 1000)])\n", - "ml1.solve()\n", - "t = np.linspace(0.1, 20, 100)\n", - "h1 = ml1.head(20, 0, t)\n", - "plt.plot(t, h1[0], label=\"impermeable wall modeled with image well\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\");" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 11\n", - "solution complete\n", - "self.neq 21\n", - "solution complete\n", - "self.neq 41\n", - "solution complete\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.plot(t, h1[0], label=\"river modeled with image well\")\n", - "for ystart in [-100, -200, -400]:\n", - " ml2 = ttim.ModelMaq(\n", - " kaq=10, z=[20, 0], Saq=[0.1], phreatictop=True, tmin=0.001, tmax=100\n", - " )\n", - " w = ttim.Well(ml2, 0, 0, rw=0.3, tsandQ=[(0, 1000)])\n", - " yls = np.arange(ystart, -ystart + 1, 20)\n", - " xls = 50 * np.ones(len(yls))\n", - " lss = ttim.LeakyLineDoubletString(ml2, xy=list(zip(xls, yls)), res=\"imp\")\n", - " ml2.solve()\n", - " h2 = ml2.head(20, 0, t)\n", - " plt.plot(t, h2[0], \"--\", label=f\"line-doublet string from {ystart} to {-ystart}\")\n", - "plt.title(\"head at (x,y)=(20,0)\")\n", - "plt.xlabel(\"time (d)\")\n", - "plt.ylabel(\"head (m)\")\n", - "plt.legend();" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autoclose": false, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": false, - "user_envs_cfg": false - } - }, - "nbformat": 4, - "nbformat_minor": 2 -} diff --git a/notebooks/well_near_wall.ipynb b/notebooks/well_near_wall.ipynb deleted file mode 100644 index 0cbaf4a..0000000 --- a/notebooks/well_near_wall.ipynb +++ /dev/null @@ -1,213 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import ttim" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 1\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=10, z=[10, 0], Saq=1e-4, tmin=0.01, tmax=10)\n", - "w = ttim.Well(ml, 0, 20, rw=0.3, tsandQ=[(0, 100)], layers=0)\n", - "ml.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "t = np.logspace(-2, 1, 100)\n", - "h = w.headinside(t)" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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Trju/gKfvei+XLsriHx5/i8/+Ygt1OopHRGZITIHvnKt0zu09S5sa59z26HIHUAmUxNLvXFaYkcS/f+4Kvn3zCl471MQH/nkTj++o1mhfRKbdjM7hm1kpsBp4fYI2d5rZVjPb2tDQMFOlzahAwPhPV5fx1N++lyX5qdz9m11s+PkWjjV3e12aiPjYWQPfzJ4zs4pxHuvfTUdmlgb8Dviac679TO2ccw8458qdc+X5+fnvpos5Z3F+Gr/90lr++0dXsu1IMx/4503868sH6R/UnbREZOqd9dIKzrl1sXZiZglEwv6XzrnHYv08PwkGjA1rS1m3opBv/b6C//X02zyy9Rj/Y/2FXL00z+vyRMRHpn1KxyKXjfwpUOmcu2+6+5urSrKSeXDDGn66oZyBIcenHnydv/nlNqqaNM0jIlMj1sMybzWzauAq4Ekzeya6fp6ZPRVtdjXwGeB6M9sZfXwopqp97IblhWy8+xruXnceL77dwLr7XubeJ/fQ1j3gdWkiMsfZbD46pLy83G3dutXrMjxT29bLfc/u5bfbqslISuDL1y3hr68qJSlBV+AUkfGZ2Tbn3PjnRSnwZ789J9r5zp/eZtO+BgrSw3z1+qV8Ys1CEkM6UVpExlLg+8Trh5r4/sa9bDnSQklWMl++bikfu6yEcEgjfhGJUOD7iHOOTfsbuW/jXnZVt1GUkcQXr13MHWsW6mYrIqLA9yPnHK/sb+T/vHiANw43k5eWyGevLuNTVywkKyXR6/JExCMKfJ97/VAT9790kE37GkhOCPLx8vl87j1lLMpN9bo0EZlhEwW+7mnrA1cszuWKxbm8XdvOg68c5uE3qvj3147y/hWFbFhbylWLc4mcDiEi8UwjfB+qa+/loc1HePiNKlq7B1hWkMZfry3lttUlpIa1jRfxM03pxKnegSH+sOsED716hIrj7aSHQ9x6aQl3rFnIinkZXpcnItNAgR/nnHPsONbK/918hKcqaukfHGbV/EzuWLOQmy8uJj0pwesSRWSKKPBlRGt3P/+x4zi/3nKMt2s7SE4I8qGLivnYZSVcWZZLIKC5fpG5TIEvp3HOsau6jV+/UcUf36yhs2+QeZlJ3LK6hNsuLWFpQbrXJYrIOVDgy4R6B4bYuKeOx7dXs2l/I0PDjlXzM/noxfP48KpiijOTvS5RRCZJgS+TVt/RyxM7T/AfO49TcTxyn5o1pdl8ZNU8brqoiIL0JI8rFJGJKPDlnBxu7OLJN0/wh1017K3rIGBwRVkuN11UxAdWFFGUqfAXmW0U+BKzfXUd/HHXCZ58q4aDDV0AXLIgiw+uLOKDKwtZnJ/mcYUiAgp8mWIH6jt4Zncdz+yu5c3qNgDOK0xj3fJCblhewCULsgnqaB8RTyjwZdocb+1h4+5aNu6uY8uRZgaHHdkpCVx3fgHXLy/gvcvyyUzWcf4iM0WBLzOirWeAV/Y38EJlPS/uraele4BQwCgvzeaa8/K5Zlk+K4ozdKy/yDRS4MuMGxp27DzWwvOV9by4t4HKmsgRP3lpibxnaR7XnJfPe5flk58e9rhSEX9R4Ivn6tt7eWV/I5v2N/DK/kaau/oBWFGcwdVLc1m7JI81ZTmk6eJuIjFR4MusMjzs2H2iPRr+DWw/2kr/0DChgHHxgizWLsnlqiW5XLowWzdsF3mXFPgyq/UODLHtaAubDzbylwNNvFndyrCDcCjAZYuyubwsh8tLc1i9MFu3cRQ5CwW+zCntvQNsOdzM5oNNvHaoicqadoYdJASNi0oyWVOWwxVlOVy2KEdHAImcQoEvc1p77wDbjrbwxuFm3jjczJvVrQwMOczggqIMLluUxWWLsrl0YTYLc1J0dy+Jawp88ZXegSF2VLXyxuFmthxpZuexVjr7BoHIUUCrF2aPbABWzc/UfgCJK7qnrfhKUkKQq6I7diFyCOi+ug62V7Ww7WgLO6paeXZPHQChgLFyXgYXL8ji4vlZXLwgi8V5qToXQOKSRvjiS02dfeyoamVbVQvbj7ZQcbyNrv4hANLDIS6an8mq+VlcsiDyXJyZpKkg8YVpG+Gb2e3At4HlwOXOudPS2cySgE1AONrfo865b8XSr8jZ5KaFWbeikHUrCoHIr4BDDZ3sPNbKrupW3qxu46d/PsTAUGTAk58eZlVJJitLMrlwXgYXlmRqIyC+E+uUTgVwG/CvE7TpA653znWaWQLwZzN72jn3Wox9i0xaMGAsK0xnWWE6t5cvACL7Aipr2nmzuo2dx1qpON7Gi3vrGY7+6M1JTWRlNPwvnJfJhSUZ2iksc1pMge+cqwQm/B/AReaMOqMvE6KP2TuPJHEjKSHI6oXZrF6YzYbouu7+QSprOth9oo2K421UHG/n3zYdYjC6FUhPCrGiOIPlxRmsKM7gguJ0zitM145hmRNmZKetmQWBbcBS4H7n3OsTtL0TuBNg4cKFM1GeyIiUxBCXLYoc5XNS3+AQ++s6qTjexlvH29hT084jW4/RHd0nEDBYnJ/GBUXpYzYERRmaEpLZ5aw7bc3sOaBonLe+6Zz7fbTNS8B/GW8O/5TPygIeB77qnKs4W3HaaSuz1fCwo6q5m8qa9sijtoPKmnaqW3pG2mSlJHBBUeQXwDuPNLJSEj2sXPwupp22zrl1U1WIc641unG4kcj8v8icFAgYpXmplOalctNFxSPr23sHeLumg7drIxuCt2s7eGz78ZHzBAAK0sOcX5TOsoJ0zi9K47zovgVdOE6m27T/CzOzfGAgGvbJwDrgu9Pdr4gXMpISItf+KcsZWeec40RbL/vqOthX28G+uk721XXw8BtH6R0YHmlXkpXM0oI0lhaksST/5HMquWm6hLRMjVgPy7wV+BGQDzxpZjudcx80s3nAg865DwHFwEPRefwA8Ihz7o+xFi4yV5gZJVnJlGQlc935BSPrh4Yd1S3d7K3tYH99J3trOzhQ38nrh5vGbAiyUxJGbQDeeS7JTtatJOVd0YlXIrPM8LDjeGsPBxs6OVDfycGGLg7Wd3KgoXPkPgIQuZpoWV4qS/LTKItOL5XlpbI4L5XsVO0niFe6tILIHBIIGAtyUliQk8L7Rv0iAGju6udgQ2dkA1DfycGGTvbUtPOn3bUMDb8zeMtKSaAsugEoy02lLD915HVKov63j1f6mxeZQ3JSE8lJzWFNac6Y9QNDwxxr7uZwYxeHG7s41NjF4YYuNh9o4rHtx8e0LcpIYlFuSvSRGnnOSWVhboouN+1zCnwRH0gIBlicn8bi/LTT3uvuH+RI48mNQSeHGro42tzNC2/X09jZP6ZtdkoCC3NTKc1NYVFOysjywtwU8tPCOq9gjlPgi/hcSmKIFfMyWDEv47T3OvsGqWrqpqq5iyNN3RyNLm890sIfdp1g1CwRKYlBFuakMD87hQU5ySzITolOPUWWU3VY6aynvyGROJYWPvPGoH9wmOqWbo42d1PV1M2Rpi6qmro51tzN5oONI2can5STmsiC7GTmZ6cwf/QGITuZkuxkwiFdfsJrCnwRGVdi6MzTRM45mrv6OdbSw7Hmbo61dHOsuYfqlm52n2hj457akSuRAphBYXoS86PhPy96mGpJdvLIIav6hTD99F9YRN41MyM3LUxuWphLFmSd9v7wsKOuo5djzWM3CMdbu9le1cKTb9aMXJDupKyUBEqy3tkYzD9lw5Cbmqh9CDFS4IvIlAsEjOLMZIozk8ecdXzS0LCjvqOXE609VLf0cLy1hxOtPRxv6eFoUxebDzSO3LDmpHAoQElWMsVZSdHPjj5nJY0sZySFtFGYgAJfRGZccNQG4bJFp7/vnKO9Z5Dq1m6Oj94gtPZworWXP+9vpL6jl1N+JJCaGKQoM4l5WckUZSRRnJXMvMykd9ZlJpGRFL+HnirwRWTWMTMyUxLITMlk5bzMcdsMDA1T39FHbVtkI1Db1suJtp7ocy97axto6Ozj1IsJpIVDFGcmUZgReRRlht9ZzohsHPLSwr68bIUCX0TmpIRgYGSH73i/EiCyUahr7x3ZCNS09lDT1ktNWw917X0cPNhIfUffmLOUIXKPg/z0MEUZSRSM2hAUpIcpyoy8LsxMIj08t6aQFPgi4lsJwUDkMNHslDO2GRp2NHX1UdfWR217L3XRR21bL7XtvVQ1dfPG4WbaegZO+7PJCZEppPz0MAXpYQrSkyjIGLucnxYmKyVhVmwYFPgiEteCAYuEc3oSFzH+9BFAT/8Q9R3vbAjq2yMbiNr2Xhra+6g43kZ9R/1p5ycAJAYD5KeH39kwZEQ3CKcs56QmEgoGpu27KvBFRCYhOTEYvfZQ6oTtuvoGqe/oo769N/Lc0Ud9R2SjUN/Rx5GmLrYcaaal+/RfDAGDnNQwZXkp/PZLa6f8OyjwRUSmUGo4RFk4RFnexBuGvsEhGjv7x2wYGqLL00WBLyLigXAoOLLTeaZM32SRiIjMKgp8EZE4ocAXEYkTCnwRkTihwBcRiRMKfBGROKHAFxGJEwp8EZE4Ye7Ua4fOImbWABw9hz+aBzROcTmznb5zfNB3jg+xfOdFzrn88d6Y1YF/rsxsq3Ou3Os6ZpK+c3zQd44P0/WdNaUjIhInFPgiInHCr4H/gNcFeEDfOT7oO8eHafnOvpzDFxGR0/l1hC8iIqdQ4IuIxAnfBb6Z3Whme83sgJnd43U9083MFpjZi2ZWaWa7zewur2uaKWYWNLMdZvZHr2uZCWaWZWaPmtnb0b/vq7yuabqZ2d3Rf9cVZvYrM0vyuqapZmY/M7N6M6sYtS7HzJ41s/3R5+yp6MtXgW9mQeB+4CZgBfBJM1vhbVXTbhD4O+fccuBK4Mtx8J1Puguo9LqIGfQvwJ+ccxcAF+Pz725mJcDfAuXOuQuBIHCHt1VNi18AN56y7h7geefcMuD56OuY+SrwgcuBA865Q865fuDXwHqPa5pWzrka59z26HIHkRAo8baq6Wdm84EPAw96XctMMLMM4BrgpwDOuX7nXKu3Vc2IEJBsZiEgBTjhcT1Tzjm3CWg+ZfV64KHo8kPALVPRl98CvwQ4Nup1NXEQfieZWSmwGnjd20pmxA+AvweGvS5khiwGGoCfR6exHjSzie+SPcc5544D3weqgBqgzTm30duqZkyhc64GIoM6oGAqPtRvgW/jrIuL407NLA34HfA151y71/VMJzP7CFDvnNvmdS0zKARcCvzYObca6GKKfubPVtF56/VAGTAPSDWzT3tb1dzmt8CvBhaMej0fH/4EPJWZJRAJ+1865x7zup4ZcDXwUTM7QmTa7noz+3/eljTtqoFq59zJX2+PEtkA+Nk64LBzrsE5NwA8Bqz1uKaZUmdmxQDR5/qp+FC/Bf4WYJmZlZlZIpEdPE94XNO0MjMjMq9b6Zy7z+t6ZoJz7hvOufnOuVIif8cvOOd8PfJzztUCx8zs/OiqG4A9HpY0E6qAK80sJfrv/AZ8vqN6lCeADdHlDcDvp+JDQ1PxIbOFc27QzL4CPENkj/7PnHO7PS5rul0NfAZ4y8x2Rtf9g3PuKQ9rkunxVeCX0cHMIeCzHtczrZxzr5vZo8B2Ikej7cCHl1kws18B7wPyzKwa+BbwHeARM/s8kQ3f7VPSly6tICISH/w2pSMiImegwBcRiRMKfBGROKHAFxGJEwp8EZE4ocAXEYkTCnwRkTjx/wFg5+76XnqPeAAAAABJRU5ErkJggg==", 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ml.contour(win=[-30, 50, -10, 30], ngr=40, t=1, labels=True, decimals=2)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 13\n", - "solution complete\n" - ] - } - ], - "source": [ - "ml2 = ttim.ModelMaq(kaq=10, z=[10, 0], Saq=1e-4, tmin=0.01, tmax=10)\n", - "w2 = ttim.Well(ml2, 0, 20, rw=0.3, tsandQ=[(0, 100)])\n", - "wall = ttim.LeakyLineDoubletString(\n", - " ml2, xy=[(-20, 0), (20, 0), (40, 20)], res=\"imp\", order=5, layers=0\n", - ")\n", - "ml2.solve()" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "h2 = w2.headinside(t)" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ml2.contour(win=[-30, 50, -10, 30], ngr=40, t=1, labels=True, decimals=2)" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.7.4" - }, - "widgets": { - "state": {}, - "version": "1.1.2" - } - }, - "nbformat": 4, - "nbformat_minor": 4 -} diff --git a/notebooks/wells_in_different_systems.ipynb b/notebooks/wells_in_different_systems.ipynb deleted file mode 100644 index 66c0643..0000000 --- a/notebooks/wells_in_different_systems.ipynb +++ /dev/null @@ -1,311 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import ttim\n", - "import numpy as np\n", - "import matplotlib.pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [], - "source": [ - "T = 500 # transmissivity\n", - "S = 1e-4\n", - "t = np.logspace(-2, 2, 101)\n", - "r = 20\n", - "Q = 1000" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Regular Theis well" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 0\n", - "No unknowns. Solution complete\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=S / 20, tmin=0.01, tmax=100)\n", - "w = ttim.DischargeWell(ml, tsandQ=[(0, Q)], rw=1e-5)\n", - "ml.solve()\n", - "h1 = ml.head(r, 0, t)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Hantush for several different $c$ values" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 0\n", - "No unknowns. Solution complete\n", - "self.neq 0\n", - "No unknowns. Solution complete\n", - "self.neq 0\n", - "No unknowns. Solution complete\n" - ] - } - ], - "source": [ - "clist = [1e2, 1e3, 1e4]\n", - "hhantush = np.zeros((len(clist), len(t)))\n", - "for i, c in enumerate(clist):\n", - " ml = ttim.ModelMaq(\n", - " kaq=25, z=[21, 20, 0], c=c, Saq=S / 20, topboundary=\"semi\", tmin=0.01, tmax=100\n", - " )\n", - " w = ttim.DischargeWell(ml, tsandQ=[(0, Q)], rw=1e-5)\n", - " ml.solve()\n", - " hhantush[i] = ml.head(r, 0, t)[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.semilogx(t, h1[0], label=\"Theis\")\n", - "for i in range(3):\n", - " plt.semilogx(t, hhantush[i], label=\"c=\" + str(int(clist[i])))\n", - "plt.legend(loc=\"best\")\n", - "plt.title(\"head at r=20\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Two-aquifer system with same $T$ in both layers and several different $c$ values" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 0\n", - "No unknowns. Solution complete\n", - "self.neq 0\n", - "No unknowns. Solution complete\n", - "self.neq 0\n", - "No unknowns. Solution complete\n" - ] - } - ], - "source": [ - "clist = [1e2, 1e3, 1e4]\n", - "htwolayer = np.zeros((len(clist), len(t)))\n", - "for i, c in enumerate(clist):\n", - " ml = ttim.ModelMaq(\n", - " kaq=[25, 25],\n", - " z=[20, 0, -5, -25],\n", - " c=c,\n", - " Saq=S / 20,\n", - " topboundary=\"conf\",\n", - " tmin=0.01,\n", - " tmax=100,\n", - " )\n", - " w = ttim.DischargeWell(ml, tsandQ=[(0, Q)], rw=1e-5)\n", - " ml.solve()\n", - " htwolayer[i] = ml.head(r, 0, t)[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.semilogx(t, h1[0], label=\"Theis\")\n", - "for i in range(3):\n", - " plt.semilogx(t, htwolayer[i], label=\"c=\" + str(int(clist[i])))\n", - "plt.legend(loc=\"best\")\n", - "plt.title(\"head at r=20\");" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "### Model that starts at $t=10$ days" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "self.neq 0\n", - "No unknowns. Solution complete\n", - "Warning, some of the times are smaller than tmin or larger than tmax; zeros are substituted\n" - ] - } - ], - "source": [ - "ml = ttim.ModelMaq(kaq=25, z=[20, 0], Saq=S / 20, tmin=0.01, tmax=100, tstart=10)\n", - "w = ttim.DischargeWell(ml, tsandQ=[(10, Q)], rw=1e-5)\n", - "ml.solve()\n", - "ht10 = ml.head(r, 0, t)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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