{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Benchmark: 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": [
    "import numpy as np\n",
    "\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, strict=False)), 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(\n",
    "    ml, xy=list(zip(x, y, strict=False)), tsandQ=[(0, 100)], Astorage=100\n",
    ")\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": []
  }
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