{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# HowTo: Model fluctuating head boundaries with `ttim`\n", "\n", "This notebook shows how fluctuating head boundaries, such as a head with a varying river, can be modeled with `ttim`. The example is for a cross-sectional model, but the same holds for a two-dimensional model. " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import ttim" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define parameters for a single unconfined aquifer. The head in the river fluctuates as a cosine with period $\\tau$. " ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# parameters\n", "k = 20.0 # hydraulic conductivity, m/d\n", "H = 50.0 # thickness of aquifer, m\n", "T = k * H # transmissivity, m^2/d\n", "S = 0.1 # storage coefficient, -\n", "tau = 0.5 # tidal period, d" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The analytic solution for the head is given by the following function (see Bakker and Post, 2020)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# solution for unit amplitude\n", "def head_river(t, tau, tp=0):\n", " return np.cos(2 * np.pi * (t - tp) / tau)\n", "\n", "\n", "def analytic_head(x, t, tau, S, T, tp=0):\n", " B = np.exp(-x * np.sqrt(S * np.pi / (T * tau)))\n", " ts = x * np.sqrt(S * tau / (4 * np.pi * T))\n", " return B * np.cos(2 * np.pi * (t - tp - ts) / tau)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The analytic solution is for a river with varying head that has been varying for ever. \n", "In `ttim`, head is simulated for several days to get the model to spin-up. \n", "In interpreting the results, we only look at the heads in the final tidal period." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In `ttim`, the specified head in a river is constant for a period. For example, `tsandh=[(0, 1), (1, 2), (4, -2)]` means the head in the river equal to 1 from $t=0$ till $t=1$, equal to 2 from $t=1$ till $t=4$ and equal to -2 thereafter. The head in a river fluctuates continuously, of course, and will be approximated by a step function. \n", "\n", "Consider the case that the head is specified using regular time intervals $\\Delta t$ (this is not necessary of course, but practical for most applications). \n", "There are three different ways to specify a continuously vary head boundary in `ttim`. \n", "\n", "- The head at time $t$ is used for the interval from $t$ till $t+\\Delta t$. This is referred to as *begin*.\n", "- The head at time $t+\\Delta t$ is used for the interval from $t$ till $t+\\Delta t$. This is referred to as *end*.\n", "- The average between the heads at $t$ and $t+\\Delta t$ is used for the interval from $t$ till $t+\\Delta t$. This is referred to as *mid*.\n", "\n", "A graph for these three options is shown below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tmax = 5 # day\n", "delt = 0.025 # day\n", "t = np.arange(0, tmax, delt)\n", "hexact = head_river(t, tau)\n", "hbegin = head_river(t, tau)\n", "hend = head_river(t + delt, tau)\n", "hmid = 0.5 * (head_river(t - delt / 2, tau) + head_river(t + delt / 2, tau))\n", "tmid = np.hstack((0, 0.5 * (t[:-1] + t[1:])))\n", "# plot\n", "plt.figure(figsize=(10, 3))\n", "plt.plot(t, hexact, \"k\", label=\"observed\")\n", "plt.step(t, hbegin, where=\"post\", label=\"begin\")\n", "plt.step(t, hend, where=\"post\", label=\"end\")\n", "plt.step(tmid, hmid, where=\"post\", label=\"mid\")\n", "plt.xlim(0, 1)\n", "plt.xlabel(\"time (d)\")\n", "plt.ylabel(\"head (m)\")\n", "plt.legend()\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A model is created for all three options." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [ "mlbegin = ttim.ModelXsection(naq=1, tmin=1e-4, tmax=1e2)\n", "xsection = ttim.XsectionMaq(\n", " model=mlbegin, x1=-np.inf, x2=np.inf, kaq=k, z=[0, -H], Saq=S, phreatictop=True\n", ")\n", "lsriver = ttim.HeadLineSink1D(\n", " model=mlbegin, xls=0, tsandh=list(zip(t, hbegin, strict=True))\n", ")\n", "mlbegin.solve(silent=True)\n", "#\n", "mlmid = ttim.ModelXsection(naq=1, tmin=1e-4, tmax=1e2)\n", "xsection = ttim.XsectionMaq(\n", " model=mlmid, x1=-np.inf, x2=np.inf, kaq=k, z=[0, -H], Saq=S, phreatictop=True\n", ")\n", "lsriver = ttim.HeadLineSink1D(\n", " model=mlmid, xls=0, tsandh=list(zip(tmid, hmid, strict=True))\n", ")\n", "mlmid.solve(silent=True)\n", "#\n", "mlend = ttim.ModelXsection(naq=1, tmin=1e-4, tmax=1e2)\n", "xsection = ttim.XsectionMaq(\n", " model=mlend, x1=-np.inf, x2=np.inf, kaq=k, z=[0, -H], Saq=S, phreatictop=True\n", ")\n", "lsriver = ttim.HeadLineSink1D(model=mlend, xls=0, tsandh=list(zip(t, hend, strict=True)))\n", "mlend.solve(silent=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's compare the output for all three options. First we look at the head along\n", "$x$ at 4 moments in the tidal period. As we can see the *mid* option best\n", "matches the analytical solution. The `ttim` and exact solutions are closer\n", "together when the interval $\\Delta t$ is reduced." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x = np.linspace(0, 200, 100)\n", "tlist = [4, 4.125, 4.25, 4.375]\n", "plt.figure(figsize=(10, 4))\n", "for tp in tlist:\n", " hex = analytic_head(x, tp, tau, S, T)\n", " plt.plot(x, hex, \"k\")\n", " for i, ml in enumerate([mlbegin, mlmid, mlend]):\n", " h = ml.headalongline(x, 0, tp)\n", " plt.plot(x, h[0, 0], \"C\" + str(i), linestyle=\"--\")\n", "plt.text(-2, 1, \"t=4\", ha=\"right\", va=\"top\")\n", "plt.text(-2, 0.01, \"t=4.125\", ha=\"right\", va=\"bottom\")\n", "plt.text(-2, -0.01, \"t=4.375\", ha=\"right\", va=\"top\")\n", "plt.text(-2, -1, \"t=4.25\", ha=\"right\", va=\"bottom\")\n", "plt.xlim(-20, 200)\n", "plt.legend([\"exact\", \"begin\", \"mid\", \"end\"])\n", "plt.xlabel(\"x (m)\")\n", "plt.ylabel(\"head (m)\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we compare the head at $x=50$ m for the last tidal period. Here we can\n", "clearly see that the *begin* and *end* result in solutions that trail and lead\n", "the analytic solution, respectively. The *mid* option matches nicely with the\n", "analytical solution." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 3))\n", "tp = np.linspace(4.5, 5, 100)\n", "hex = analytic_head(50, tp, tau, S, T)\n", "plt.plot(tp, hex, \"k\")\n", "for ml in [mlbegin, mlmid, mlend]:\n", " h = ml.head(50, 0, tp)\n", " plt.plot(tp, h[0], \"--\")\n", "plt.legend([\"exact\", \"begin\", \"mid\", \"end\"])\n", "plt.xlabel(\"time (d)\")\n", "plt.ylabel(\"head (m)\")\n", "plt.title(\"head at x=50 m\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In conclusion, when modeling fluctuating boundary conditions in `ttim`, use the *mid* approximation as the input time series for your model." ] } ], "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": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 4 }