{ "metadata": { "name": "", "signature": "sha256:72006ff92b6257bfd8c4148ec938ecd72e13f03e61f818821aa0678437e7e3c9" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Lumped Parameter Model for Lake Dynamics" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Display graphics inline with the notebook\n", "%matplotlib inline\n", "\n", "# Standard Python modules\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "import matplotlib.dates as mdates\n", "import pandas as pd\n", "import os\n", "import datetime\n", "\n", "# Module to enhance matplotlib plotting\n", "import seaborn\n", "seaborn.set()\n", "\n", "# Modules to display images and data tables\n", "from IPython.display import Image\n", "from IPython.core.display import display\n", "\n", "# Data Directory\n", "dir = './data/'\n", "\n", "# Styles\n", "from IPython.core.display import HTML\n", "HTML(open(\"styles/custom.css\", \"r\").read())" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 91, "text": [ "" ] } ], "prompt_number": 91 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Stage-Volume Relationships" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$ V(h) = a_0 + a_1 h + a_2 h^2 $$\n", "\n", "$$\\begin{align*}\n", "A(h) & = \\frac{d V}{d h} \\\\\n", "& = a_1 + 2 a_2 h \\\\\n", "& = \\underbrace{\\left(a_1 + 2 a_2 h_0\\right)}_{b_0} \\; + \\; \\underbrace{2 a_2}_{b_1} \\left(h-h_0\\right)\\end{align*}$$" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Rainy Lake" ] }, { "cell_type": "code", "collapsed": false, "input": [ "h = np.array([335.0, 336.0, 336.5, 337.0, 337.5, 338.0, 339.0, 340.0])\n", "v = np.array([112.67, 798.00, 1176.42, 1577.25, 2002.06, 2450.57, 3416.85, 4458.97])\n", "\n", "plt.subplot(2,1,1)\n", "plt.scatter(h,v)\n", "plt.xlim(h.min(),h.max())\n", "plt.ylim(0,plt.ylim()[1])\n", "plt.title('Rainy Lake Stage-Volume Relationship')\n", "plt.xlabel('Water Elevation (m)')\n", "plt.ylabel('Volume (million cu. m)')\n", "\n", "pf = sp.polyfit(h,v,2)\n", "\n", "VRL= sp.poly1d(pf)\n", "plt.hold(True)\n", "plt.plot(h,VRL(h))\n", "plt.hold(False)\n", "\n", "ARL = sp.poly1d(np.array([2.0*pf[0],pf[1]]))\n", "plt.subplot(2,1,2)\n", "plt.plot(h,ARL(h))\n", "plt.title('Rainy Lake Stage-Surface Area Relationship')\n", "plt.xlabel('Elevation (m)')\n", "plt.ylabel('Area (sq. km.)')\n", "\n", "plt.tight_layout()\n", "\n", "df = pd.DataFrame(zip(h,v,VRL(h),ARL(h)),columns=['h','V','Vhat','Ahat'])\n", "print df.to_string(formatters={'V':' {:.0f}'.format, \n", " 'Vhat':' {:.0f}'.format,\n", " 'Ahat':' {:.0f}'.format})" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " h V Vhat Ahat\n", "0 335.0 113 111 644\n", "1 336.0 798 799 734\n", "2 336.5 1176 1178 780\n", "3 337.0 1577 1579 825\n", "4 337.5 2002 2003 870\n", "5 338.0 2451 2450 916\n", "6 339.0 3417 3411 1007\n", "7 340.0 4459 4463 1097\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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JwlPG5tjaT8YMEt3+pqvqqb089/8BD/mfk4EmYE5YC9BTwDygBXhVVZuAJhFZ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\nWlLCmuVhTU19DZtWV7Ngnr51RESksOkv1SzVPzjM7tbRQuF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"text": [ "" ] } ], "prompt_number": 96 }, { "cell_type": "code", "collapsed": false, "input": [ "h = np.array([337.0, 338.0, 338.5, 339.0, 339.5, 340.0,\n", " 340.5, 341.0, 341.5, 342.0, 343.0])\n", "v = np.array([65.33, 259.95, 364.20, 475.58, 592.46, 712.28,\n", " 836.56, 966.17, 1099.79, 1239.68, 1540.75])\n", "\n", "plt.subplot(2,1,1)\n", "plt.scatter(h,v)\n", "plt.xlim(h.min(),h.max())\n", "plt.ylim(0,plt.ylim()[1])\n", "plt.title('Namakan Lake Stage-Volume Relationship')\n", "plt.xlabel('Water Elevation (m)')\n", "plt.ylabel('Volume (million cu. m)')\n", "\n", "pf = sp.polyfit(h,v,2)\n", "\n", "VNL= sp.poly1d(pf)\n", "plt.hold(True)\n", "plt.plot(h,VNL(h))\n", "plt.hold(False)\n", "\n", "ANL = sp.poly1d(np.array([2.0*pf[0],pf[1]]))\n", "plt.subplot(2,1,2)\n", "plt.plot(h,ANL(h))\n", "plt.title('Namakan Lake Stage-Surface Area Relationship')\n", "plt.xlabel('Elevation (m)')\n", "plt.ylabel('Area (sq. km.)')\n", "\n", "plt.tight_layout()\n", "\n", "df = pd.DataFrame(zip(h,v,VNL(h),ANL(h)),columns=['h','V','Vhat','Ahat'])\n", "print df.to_string(formatters={'V':' {:.0f}'.format, \n", " 'Vhat':' {:.0f}'.format,\n", " 'Ahat':' {:.0f}'.format})" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ " h V Vhat Ahat\n", "0 337.0 65 66 185\n", "1 338.0 260 260 205\n", "2 338.5 364 365 215\n", "3 339.0 476 475 225\n", "4 339.5 592 591 235\n", "5 340.0 712 711 246\n", "6 340.5 837 836 256\n", "7 341.0 966 966 266\n", "8 341.5 1100 1102 276\n", "9 342.0 1240 1242 286\n", "10 343.0 1541 1539 306\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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Az4F5QFHaNkXAJkKAU5SxrEOlpUUdbyQ5U312LdVn11J9di3VZ9dSfUJ9QyNvL9nE6++s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\n0cz+FPhV4CMFGZXIGjQ5ncUPncJ7w5mavYeHmJzKxufXNdX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"text": [ "" ] } ], "prompt_number": 98 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Stage-Discharge Relationships" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Rainy Lake" ] }, { "cell_type": "code", "collapsed": false, "input": [ "h = np.array([335.4, 336.0, 336.5, 336.75, 337.0, 337.25, 337.5, \n", " 337.75, 338.0, 338.5, 339, 339.5, 340.0])\n", "d = np.array([0.0, 399., 425., 443., 589., 704., 792., 909.,\n", " 1014., 1156., 1324., 1550., 1778.])\n", "\n", "#plt.subplot(2,1,1)\n", "\n", "plt.hold(True)\n", "plt.scatter(d,h)\n", "plt.plot(d,h)\n", "\n", "plt.ylim(h.min(),h.max())\n", "plt.xlim(0,plt.xlim()[1])\n", "plt.title('Rainy Lake Stage-Discharge Relationship')\n", "plt.ylabel('Water Elevation (m)')\n", "plt.xlabel('Discharge (cu. per sec.)')\n", "\n", "\n", "# Get historical flowrates and levels on RR and RL\n", "RR = pd.read_pickle(dir+'RR.pkl')['1970':]\n", "RL = pd.read_pickle(dir+'RL.pkl')['1970':]\n", "\n", "Q = pd.concat([RR,RL],axis=1)\n", "Q.columns = ['RR','RL']\n", "\n", "A = Q['1970':'2000']\n", "\n", "plt.scatter(A['RR'],A['RL'],marker='+',color='b')\n", "B = Q['2000':]\n", "plt.scatter(B['RR'],B['RL'],marker='+',color='r')\n", "\n", "ax = plt.axis()\n", "plt.plot([ax[0],ax[1]],[336.70,336.70],'y--')\n", "plt.plot([ax[0],ax[1]],[337.20,337.20],'y--')\n", "plt.plot([ax[0],ax[1]],[337.75,337.75],'m--')\n", "plt.plot([ax[0],ax[1]],[337.90,337.90],'c--')\n", "\n", "plt.xlabel('Upper Rainy River Flow [cubic meters/sec]')\n", "plt.ylabel('Rainy Lake Level [meters]')\n", "ax = plt.axis()\n", "plt.axis([0,ax[1],ax[2],ax[3]])\n", "plt.legend(['Winter Drought Line','Summer Drought Line','URC_max','All Gates Open','1970-2000','2000-2010'],loc=\"upper left\")\n", "\n", "plt.hold(False)\n", "#plt.savefig('./images/RainyRiverDischarge.png')\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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5ZSTx8XGEhDRg1KhXWLBgHhkZGTRvHnpJ4r/YZ599TNWq1QgKCmbBgvm4ulo5deokd9zR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\nB2Bc4WAWlxVz7rRxDFAyHRER6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"text": [ "" ] } ], "prompt_number": 108 }, { "cell_type": "code", "collapsed": false, "input": [ "Q = lambda x: np.interp(x,h,d)\n", "x = np.linspace(336.,339.)\n", "plt.plot(x,Q(x))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 112, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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FCWs/PE5uVjrfvmscY4f2THVZIiKfokAXuYQz1Y089cp2DhyvYUjfPL57z3h6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\nxcAZYL61dn38Qi39iI0qNxX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