{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Benchmark: 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 matplotlib.image as mpimg\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\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 }