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 "cells": [
  {
   "cell_type": "markdown",
   "id": "913772fb-2212-4c05-bb60-d206f265a613",
   "metadata": {},
   "source": [
    "# 355.19: Drainage canal on top of confined aquifer\n",
    "\n",
    "Drainage canal on top of a confined aquifer of finite thickness near an open boundary.\n",
    "\n",
    "Constant drawdown of the water level in the canal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "70c38979-755c-4ca1-be14-292fb3ccf24f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "from bruggeman.flow2d import bruggeman_355_19, bruggeman_355_19_total_discharge"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ad040781",
   "metadata": {},
   "source": [
    "View the function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5acad3cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "bruggeman_355_19"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f6ad01bd",
   "metadata": {},
   "source": [
    "View the docstring to get a description of the input parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "20b0e4ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "help(bruggeman_355_19)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d4bf186",
   "metadata": {},
   "source": [
    "Define some aquifer parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "47d0cc67-2ff1-4a1b-98ed-86560c4e2772",
   "metadata": {},
   "outputs": [],
   "source": [
    "L = 20  # m\n",
    "B = 5  # m\n",
    "h = 1  # m\n",
    "k = 10  # m/d\n",
    "D = 20  # m"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85cde3da",
   "metadata": {},
   "source": [
    "Compute the solution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "59190574-a25a-41ff-8821-4e5f87c95bf7",
   "metadata": {},
   "outputs": [],
   "source": [
    "nx, nz = 100, 100\n",
    "x, z = np.meshgrid(np.linspace(0, 2 * L, nx), np.linspace(0, D, nz))\n",
    "om = np.zeros((nz, nx), dtype=\"complex\")\n",
    "for i in range(nx):\n",
    "    for j in range(nz):\n",
    "        om[i, j] = bruggeman_355_19(x[i, j], z[i, j], L, B, h, k, D)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0a9b901",
   "metadata": {},
   "source": [
    "Plot the result."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e113c379-0ac2-48ae-8d23-9e4ceba7f8a2",
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.subplot(111, aspect=1)\n",
    "plt.contour(x, z, om.real, np.arange(0, 10, 0.5), colors=\"C0\")\n",
    "plt.contour(x, z, om.imag, np.arange(0, 10, 0.5), colors=\"C1\")\n",
    "plt.ylim(20, 0)  # z-axis is positive down\n",
    "plt.axvspan(L - B, L + B, 0, 20, color=\"lightgrey\");"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ce4b1cb0",
   "metadata": {},
   "source": [
    "Compute the total discharge:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b4b7afaf",
   "metadata": {},
   "outputs": [],
   "source": [
    "bruggeman_355_19_total_discharge"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b81003f8",
   "metadata": {},
   "outputs": [],
   "source": [
    "q = bruggeman_355_19_total_discharge(L, B, h, k, D)\n",
    "print(f\"Total discharge: {float(q):.2f} m^2/d\")"
   ]
  }
 ],
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