{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Backus averaging" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Implemented from Chris Liner's various writings on the subject. See\n", "\n", "- Liner, C (2004), *Elements of 3D Seismology*, PennWell Books\n", "- Liner, C (2014), Long-wave elastic attenuation produced by horizontal layering. *The Leading Edge*, June 2014, p 634-638.\n", "\n", "First, some basic set up:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "ename": "SyntaxError", "evalue": "invalid syntax (las.py, line 167)", "output_type": "error", "traceback": [ "\u001b[0;36m File \u001b[0;32m\"/Users/matt/Dropbox/dev/notebooks/las.py\"\u001b[0;36m, line \u001b[0;32m167\u001b[0m\n\u001b[0;31m print \"%-16s %-30s [%s]\" % (namestr, \"'\" + item.data + \"'\",\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m invalid syntax\n" ] } ], "source": [ "from las import LASReader\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "% matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Import data" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "f = 'E-38.las'\n", "#f = 'L-30.las'\n", "well = LASReader(f , null_subs=np.nan)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.23931680e+03, 1.58980000e+00, 3.63258500e+02,\n", " 7.25742000e+01, 7.80067000e+01, 7.85480000e+01,\n", " 7.70730000e+01, 2.21016200e+02, 4.31449510e+03,\n", " -6.19000000e-02, -2.45000000e-02, -2.45000000e-02,\n", " 1.85809000e+01, 2.15745300e+02, 1.03339800e+02,\n", " 2.48608000e+02, 2.25353300e+02, 2.30556200e+02,\n", " 1.86506700e+02, 3.62429000e+01, 2.49800000e-01,\n", " 2.49800000e-01, 5.01320000e+00, 9.46510000e+00,\n", " 2.75208370e+03, 2.69044560e+03, 7.89752000e+01,\n", " 4.90684000e+01, -6.46562500e+02, 9.28000000e-02,\n", " 2.52100000e+03, 2.80000000e+01],\n", " [ 1.23946920e+03, 1.58970000e+00, 4.12222300e+02,\n", " 8.01479000e+01, 8.53041000e+01, 8.48946000e+01,\n", " 8.33492000e+01, 2.20509800e+02, 4.22593990e+03,\n", " -7.05000000e-02, -2.62000000e-02, -2.62000000e-02,\n", " 2.47680000e+01, 2.14225800e+02, 1.01429100e+02,\n", " 2.45409500e+02, 2.24862100e+02, 2.28115000e+02,\n", " 2.06310300e+02, 3.62429000e+01, 2.28200000e-01,\n", " 2.28200000e-01, 4.90350000e+00, 9.83360000e+00,\n", " 2.76640720e+03, 2.69316600e+03, 8.94801000e+01,\n", " 4.00643000e+01, -6.45750000e+02, 8.90000000e-02,\n", " 2.51900000e+03, 2.80000000e+01]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = well.data2d\n", "data[8000:8002]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['DEPT', 'AMF', 'AT10', 'AT20', 'AT30', 'AT60', 'AT90', 'CALI', 'CDF', 'DPHI', 'DPHI_SAN', 'DPHZ', 'DRHO', 'DT', 'GR', 'HCAL', 'HDMI', 'HDMX', 'HDRA', 'HTEM', 'NPOR', 'NPOR_SAN', 'PEF', 'PEFZ', 'RHOB', 'RHOZ', 'RT', 'RXOZ', 'SP', 'SPHI', 'TENS', 'Gas']\n" ] } ], "source": [ "print well.curves.names" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "z = well.data['DEPT']\n", "dt = well.data['DT']\n", "rhob = well.data['RHOB']" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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LFjhH27OzESKXB0tWA6BrIosINs6BkhDB73voELqy6bJuKyzXrqE+5VkuerZa\nZ0rLfbe2MyElRLDlUalT9fffuJtNR2ofSsvHB8UA4CgzaDm0WKmo7UPmrHqYu5eXw2PkSGziVxtx\ndYWR3dajBw4CQJs2OKWUHuWJOsr2Wi6SoHtlqXipd4wIttyqLVFrbf1rixkzW2epBcy0h0XEkCH4\nydI05XjoIfxPr7TsBX8PTSa4TJ6MLxwtROjd9s+cididOzHQljSMRrjGxSFmwwaM0itfemCLRcSs\nWVhIn+1hEUHvc020iMjLQ11rj33ySXyt5zLmhw+jC31u2xYn9UrXWbCHRYS1YqZUm2tJWs46bhFU\nD6oFxWAwmPfv398rKSkpKiEhIRoAYmNjZ/br12/3mTNnWvXp02dvbGzsTABISUmJXL9+/eiUlJTI\nXbt2DZg2bdoys9lsAICpU6cuX7ly5dOpqakRqampEbt27Rpg30u7s3D2VTMcIUSwFhFdu+JQvXq4\nDty6R1IdRy3pUieGtYhQc83gLSLYfbt0wWE2fTkTX3bWtFs3xCvl8fx5NJParqWzzDcgWp+VyQQX\ndl/WCgW45XZg6fkJ/rlJBYd01FrwnTrhiNy7xw6ktbpm6NHBpQE0K2pQ2WPzSpHYXV1hTEpClJy1\nDQWxpHgI9p79onuiR4wIev9stYgoKYE3/2zY89lrtRMl2PO//TbeANTLmSX3QU2IeOopfFVTTPL1\nQOo9//JLTHK0EBEfj256pvfee3jNkpVgpO5LURF8+XbAGbDVNYPQw8KTt4igWBXe3iipaRYRUkKE\n1j7pqlWYQHG09IBfHa221VF6rpphzb4sUlaflp43JgZx/KprgjsDTZ0REhOIbdu2DR0/fvxqABg/\nfvzqLVu2DAeArVu3Dhs7duz37u7uFc2aNTsfHh6eFh8f3y07OzukoKDAnywqnnjiiTV0DM88hv37\n9/ey6eruIJw9RgTfmWXTr1MHN6xNTwnWIgLQtlay2gzEunUYQx0r3iJCKVilkkUED5nn88TGYiZ9\nVhvUyy0JqCWQkLWDYCmLCPZ3uUEarV4ydCi2TZqEL9XOz4taLI4SInx8UCx3T9nr1hqsMj0dzVet\nwgRb8vTBB3iZP7+URQSVRVdXGH18UFxaCq+cHASzQsOFC2g6ZQo+B27N2MmVU72wNlil1ICQyqKt\nFhGHD6PL88/jY/Z3djBi7Qym3gKy3D3T2nk1GGAmKyU1IQKwPcq5M7oVyCGXV0cLEb//jvt/+w0P\nVMeKNlJASM8lAAAgAElEQVRIlamkJEQ5+r5IQe/H1q0YRgNUS8ugry+K7GkR4eGB8uxshDjr5JIU\nfMwrQNsEBNUl0dFIuHoVDfS4Zr7c2bpKmrOhNVglYc8YEbamZTbDEBCAm+HhSNPr/AJ92b9/fy92\nfK5n2qpqrsFgMPft23ePq6urccqUKZ9PmjTpy9zc3KCgoKBcAAgKCsrNzc0NAoCsrKzG3bt3/4uO\nDQsLy8jMzAx1d3evCAsLy6DtoaGhmZmZmZKmqHpf4J2Gs3boKF9SMwjWVH5aZiJYiwjg1oBLybdO\nbdDD+qtTOlIWERQQkOJB8MtTKnXOpNYz55/rmTNopZRPuQjgZE5/5QoaykU4t7ZzZTbDwFuFsL/L\nPbN+/bB7504MdHdHRZs2OJWRgTCp/ShtEhv49IxGuDoqYJyXF0rllmFk86kmRNCAjmYiJ0zAKmvz\nREKGmkUEGzPFxwfFBQXwDwlBdt++2LN7N/rx10AdZbUyqIWCAvjLxWXRc9UMT0+UFRXB11aLCKDK\n7539zt4bR1hESLFzJwYOH44t/HZWiFBbMvnMGbS6+278rUWIsJWaEBuCkHuHnWHAffgwuly4gKaZ\nmQgNDUVmdZ5bqjw88ww+69MHe4Gq+2aJUHzjBuoEBiI/KwuNo6ORMGgQdnz+OabomddNmzCyshJu\nPj4otrQMenmh1B4xIsjizNMTZSdPou2iRZjB7l9eDg9ntDIBpC0i8vJQ188PhUrH/fEH7gOAhARE\nt2yJszdvIsDWQTG5cBLOFL9CD5zJIkIqDUtdMyieh63nF9iHXr167e/Vq9d++j5//vw39UpbtaD8\n8ccf9yUlJUXt3Llz4KeffvrsgQMHerK/GwwGs8FgEIXHwdRk1wx2xnHJEkzXujSn2j5yFhFKJt9q\nppBs48YOHnlxwWCA2cMD5eySh2zelTqtL72ED2k/uk5enCgvh4fSoEeuHNBsmZIvJ53T0rKkZhEh\nN3Ch5+LmhkqlpSWpXNB//vodGTXe2xslerhmWLqMrRLTpmEZYJlFROPGyLp6FQ2A24OB8kLE77/j\nfqAquKq15sPx8egWEICbcr9b65pBsGIczdTpIUTwz5nNn7V5taXelhLA5N5veo5a7gOJYmrBKvXA\nWQV0KdSelSNFFXqXrVmm1RYqK+EmF2R57170AdTbVp7kZHQEgO3b8XBGBsK++AKTWb9/W2Df00uX\n0IQmDSxJ49o11NcjyKzcqhnUfvIuBT164KCcWF+dGAww84P7/HwEjhuHtey2mBjEffYZnlFK68YN\n1OnaFYeAW5Mltq66UV4Oj/nz8SbNste2Qa69Y0Tk5CD4nntwVEvatq6aUVYGT6MRrmLZzjsT1cY/\nJCQkGwAaNmx4ZcSIEZsTEhKig4KCcnNycoIBIDs7O6RRo0aXgSpLh0uXLjWhYzMyMsLCwsIyQkND\nMzMyMsLY7aGhodWq1td2apprBgtrzvzii/gI0Kezx1tEUGOvZBEhZY3Awpp4U6U9ahQ2SIkLbJwI\nS1wzqOHs2hWH/vUv/AhIDzaUGurQUGSazTDw10MDvzZtcErqHp86hTbUaaDrGzoU2+TOw2KtawYr\nfLi4wCT3bHmLCH7wImeRYA1ayz/t5+WFUj1cM/SE7qOURYScEOHiAhO9F+xAnn1Hv/gCk++7D38A\nVcvNDhqEHdbkj0x25e4JuzyuJelSOZGahbPVNQP4Zzl2RosIORNXSzqvrB+91DHCIuJ2qJw4ctlC\nEhFp8G8rbD24dClekDK9B4AtWzBcLdjt++/jVUvOTZYBbN1jSYDc8nJ4UMwUHvY9TUxEZ6nYL1L8\n9Re6s9/few+vac2PHLxFBEGDMr4eS0xEZ73jgViKXN2cl4e6wcHIoVVFgKo+xdSpWK6UXnExfJo3\nRzq7Tc7da+BA7Dx9Gq2V0rt0CU3efhtv+PmhcMUKTARqnxCh1TXDWouIkyfR9tgxdLA0X9aMRc6f\nR7Pycngo9YsFtRfFzm9xcbFPQUGBPwAUFRX5xsXFxbRv3/740KFDt61evXo8AKxevXr88OHDtwDA\n0KFDt61bt25MeXm5R3p6evPU1NSI6OjohODg4JyAgICb8fHx3cxms2Ht2rXj6BiBvtR0iwhCrXK1\nxiJCixCh5s/IXgd9vnQJTaTEBVaIYGc81CwiKFhgUhKitm3D0Pr1cS0/H4GNGuEydVhcXGBSEk3e\negtzv/sOj/HmiewAVGr5y08+wXO//ooHKZ+A9gEHL0TQ6iSEXDrsLC0/W8/CW0TwZcARjRg9VyUh\nQsv9qy4hQs0igj2e7RwvWYLpQJVFUGQkUtj99u1Db2vyR+nLvXOUbzVxkIfKh5QQcfEi7lq5Ek9b\nkh4/sOTFBvZ7bYkRwaZRHUIElUd+MOKMyL2r9OwtLa96QrPn9qgLp0/HEn45YEJLkDlLV1Sg9+7Z\nZ/EpbbPk/bp0CU3mzsVbUmVd6v3QUgffey/+BIA9e9BXaz4IsxkGWiK5ogLuc+ZgAfBPi4j778fv\nI0Zgc4MGuAoAqamIsCav9oTqbL4OyMtD3bp1kUer35D7p5TQwlJcDB8fHxSzcZHkrHp27cIANaHt\nyBF0AqruEwlaUhYccrzxBt7Wa0llPcnKQmOyRhw8GD8DjnXNUBLeLSmjXl4oVRMyAWD4cGx55BH8\noDVdQc1AsaDk5uYG9ezZ80DHjh2Tu3XrFj948OCfY2Ji4mbOnBm7e/fufq1atTqzb9++3jNnzowF\ngMjIyJRRo0ZtiIyMTBk4cODOZcuWTSO3jWXLlk2bOHHiioiIiNTw8PC0AQMG7KqOC7xTsMYvqzrh\nY0SwQkR5OTxat8Zpdn+1Doda5VtaCq/0dDRXEiKkKlG1WXU6huJC0Pbz59GMFxfc3VGRk4NgXqSQ\ns4iIjkbC/Pl4kzqyNJC6fh31WrXCmcuX0Yga9MaNkaVmMv7FF5jMn4Pd57ff8AD/Oxs3YscODJK/\nE//EVosIOl5rGeb3Y6/t3Dm0YH+7ehUNbFkiUQ4qU/xSpSx6CRE5OQi2pCPOxjBht8lZRNCzGzUK\nG/g80eDdGt/khQsx6+xZtGS3ubujYuNGPApIBzgDbt03a2eY5fySt2/Hw5akw5+ff556WEToLUTI\nlRNeiMjLQ125uCqWCBG2tjuUNq1s5MyoWUQ4UoigGAqLF+OVS5fQRG1/S5F7zmrlvmVLnC0pgfec\nOVigdWZa6r3nLRKUWLMGTwDSbbo1kx8stNIQoP15Z2cjZNw4rM3LQ930dDR/5x28DvzTIqJxY2T9\n+CP+Vbcu8l59Fe+TdQHbtqoN7O0N2w9it5MQERyMnMxMhA4YgF2A+rLoJETcfTf+pm1K7kVqE0Zk\nMWEywYUEndOn0TowEPmffILnlI796is8tWAB5rz6Kt5X2s8RLFyIWT174gC7TasQYY9gldR26LFq\nhpYYO1u3YtiWLZBc6EBQc1HsPDRv3jw9OTm5Y3JycscTJ060mzVr1kIAqFev3vU9e/b0PXPmTKu4\nuLiYwMDAfDpm9uzZ76alpYWfOnWqTf/+/X+h7Z07d048fvx4+7S0tPClS5e+YL9LujNx9hgRvCkf\nW3mWlcGzaVNcYPeX60jT8k7s8Tt3YuD06VjC7jdvHuYdPowubIOdkoJI9lhrLCLkhIjx47FayjWj\nfXsc/+Yb/FstRsSgQdgxezbe7dkTB6hjI2WaSM/X2xslfEeND2IlJTSweZbqPLIWFCNGYLP0XZCG\nFyL41VDkBuS8ECHVsH73HR4jYUTOZ50t+2TVQTzwAH5r0QLnLLkeLbAWEVo66bxAQqgtWXrgAHqG\nhCD79dfxjta8KVlEsIN03iKClkVl8zR6NNaz+2hl61YMmz0b75JFBVFZCTcKUMZ2OA8dQlcSJqwV\nIqgMHj2Ke6R+t9TVoya6ZmgVImJiEBcSgmx2H1qmlRcilGJE2OpaoSQOE716Yb+tq3PogVwbS/W2\nI10ziLNn0XLtWozTO101axA5nn0Wn372GZ6hwbcWpO7j/PnQHCDtrbcwF5AWCvhB7nff4TFLyjDN\nsgPAL7+gv5ZjSBD5+ms8SXmqrIQbbxHBQmWND4xJLpuOgt59OSECqBJUqB1m75cUJSXw9vFBMdsu\nXbyIu+T2V6vDyWrAYICZ71uq9ZFnzkSs1n2rG+qfTp6ML2ibnm5tek5kWnLvaOl3a91nZs/Gu3Lt\nvcD5ccrZc4H1OGuMCBoAUeeCN2fmFXO5DmnDhrgC3F75LlyIWUuX4jZxizqsUgMnpRU8LLGIYPNQ\nUQF3KSGC8sLHiOD33b4dDw8bhq0+PihWygPbMeE7WKWl8JJq8Nn92IZG6vrlZrwTEhAtlyc2bbbc\n9O+PX9jftQoRUo0hrd7ApsM3wEqNKPkgHj+O9mrXAVhe/mmVFKnf2Ovetg1DpfaRyzt1uCh2Cm9Z\noIRSjIh9+9C7WzfEU97Z/9QZZPNkMsGlaVNckFsWVoq0NISTDzUFhGN/p04s6+8bHY2E+vVxjc23\ntUKEXIA03nJGbRBliWuGtau2WFNvs8/nmWfwGfvbsGHYKnUM/+6Q6MBC5v2WWETY2hmma1F6Fr/+\nigeVBif25Pp11Pv0UzwLyD8rGtw60iKCRYu7hKVQAFwe/rn164fd7Ko6aqsmSKGXoKNFiAgIwE1L\nTcnp8/nzaKblGLpHL7+MDyhPxcXwkYsRAdx6L5xB3GKREyJOn0Zr1r3qtdfwHqAuRJBFBFtOhgzB\nT3L7v/EG3pYLpJiYiM60tPTAgdjp5obK/fvRi35nn31BAfz5PgEbHDQxEZ2V8u0ovvwSk+izIy0i\nlNKwZtUMpX0oUK3UfgsXYpaUBbCgZiCEiFpCTXDNcHdHBQ2s2M57WRk8eSFCrkO6aBFmfPghXmLN\n7KUGuNQJk2rgaX81IeLMGbTKzUUQ+7ucRURGBsL4DklaGsKBqkZYi2sGUGXpQJ0U3iLhvvvwBytE\n8J2To0dxT3ExfL7+Gk+y2zt0wDGaHTKZ4LJqFSY8+ig2WjJ7q8Uvjzevi4pCEvu7mmuGwQCzXIwI\ntoGk58abTrL78I0VnZvcAfSC8mowwGwP1wyaAaH7ykdQV0LJIqJxY2TddRcuAv90zaAglWyejEa4\nLl6MV2hFFy20bo3Tf/6Je4GqYHa8CEPv+COP4AepzhTdtytX0NCSpdfMZhiystB4yhR8rsVknBcx\nefjZNyXLAEuC6fF5tvQYa3yDeVFBqh6ickDPpzqECC0WEY5k/XqMfu45fALcElxp5pegZ+8sQoTa\n4E9P+HckLg4xERFI7dwZiUOG4Cc59ysl2PZt/Hisvv9+/A5UxTYyGuGq9Z2REvalhAhLyrCHB8pb\nt8bpu+7Cxf/8B//VcgxbtunaMjMRqsUigic4GDla82oPpFwzsrMRcvw42tPKXMCt+uXSJTRRco0s\nLoaPtzdKSIho0QLnKAaCHHKBFLt0weGDB9Fj/XqMJhcaehc8PFD++ut459AhdAWqBI0OHXDMzQ2V\n/L1u1w4naOUWKQoL4Wepm58UZjMMQ4bgJ2tj7uhpEWGtEGHrqhlahAi5VXkENR+nHLQKLKcmuGZ4\neKCcOmlsA1ZeDg8+qKJcVGgPD5TXrYu8nTsxcNkyTAOkr5kqNbaj/fjj+Ba41YhKdXrZtFq3xmm+\nMZQTIgD5waSHB8q1Lt/JChF16uDGF19gMq1a8c47eF3JNePBB/FrZSXcJkzAKnZ7WhrCyV/WZIKL\nvz8KfH1RJHX9co0aLxSNG4e1/FJqUpYeLGoWEYGByJeziGCfi1wey8rgSfEN5M6t90BHixCh5Zxa\nhQgyOdUC3Sd2ZpIte/zSsvSuSAkRaiu9sOeQuyZ+sMJ+Z03uyaeXLS+W+IYbjXDlxRUl1JY6LC2F\n15NP4utXXsFiPl+A9ACD5csvMUlKQLJVNGbzIdWJkxJzeYsIJSGiOmNEaF2q1VGR79l322yGITMT\noWPGYB27j7MIEVpXOdKC1vvNljX2Xh08iB6bN2OENWbT7Lu0ahUmUKDMoUOxzc0NlbzrnxxqFhEX\nL+KuiAikWjKgMxhgPnUKbcjqT8uKTRUVcO/YEckGA8y0f2QkUrRYRBAtWuDc0KHYVp0ikxRSFhE0\nuKf6m90PUHYn4S0ixozBOi3XqNTfZfuUlFbLljgL3IqfRWXDaIRreTk82MmUTp1wRMkCy98fBWpi\niRJDhuCn7dvx8LZtGPrzzxjs54dCNddgKRxpEaEkQOhtEaEXo0ZhgyUurgL7I4SIWoZeQoTegobJ\nBBcPD5RT54JtwKQsIvgZ+BYtcI4iJVOF9eOP+JdaXtkGvndv7GPPzTaSfOVJJsu8TzIdKyVEyMEv\nI6o0qGNdM0i8oQbVxwfFdE4p1wy1PNC5XVxgcndHhVSnX04s4M18v/kG//7+e4xlt6kJEd98g39L\n3TM6p7c3SuRiRGi516Wl8KKOjFyjpjbQoXKQlYXGWhrG6raIAKpmnrSsI0/38d//xjfseajs8QIE\n/ad3kbeI4J9tXh7qkhjYujVOy3XGFyzAHOCfZYifTaPPFDCVfVZkaqsFNSGCf65qAThLS+HVowcO\nvvwyPqD02d/Z5yslREyejC9oCTkW9v21phOm1gFl009KQlRFBdy1CBFUjqvTNcNohKvBALO1q45U\nJ9Rp5i0iaHDrCDP6Jk1wiQZ6FPDT0lgoSqj1B+Sem4cHyl1dYSQXLYrlpGV50dJSeD3/PD6m6yCX\nrQMH0BOout9KM9aEVDsZG4uZVM81bIgrrq4wWlOGKc7Nrl0YoLZvRQXcPT1R5u2NElpmFfjnqhks\n/H0/exYtP/sMz+gpdl24gKZSA+o9e9B3504MlDpGSoi4fBmNRo3CBrbOZesXah/IUpSlsBB+vr4o\norq4SxcclrIu4wXv9esxmj7v24ferHDAWo1Q2/PRR3gRuBVDiu2XlZbCi1xsf/4Zg+++G3/LLf/K\nIuXepoWff8bgV1/F+8OHYwtQ9b7KxZBSwh4xIn7/HfdrcTNUqhf0toiQ+j02FjPVlnLl2bgRj65e\njfGWHCOwL0KIqCXobRGh96wOuWZICRFSFhE87u6oaNwYWeyxWgZ4bEP41FP4ymyGQco1g12Ws6IC\n7kFByAX+eT9ZawqtQkRZGTytsYigARV1mHx9UaTkmqGE3kIEXRf7XUqIYAM/rViBiVlZaMynQ8uV\nenqiTM41g2IjNG6MLHaFFfb5lJbCi2bzrRUi6D5p7RBoESJOnUIbremw1KmDGyREsNfTuDGymjTB\nJbU0pToobNlbvhxTk5PRkR+0k8DHvqNS4llgIPInTsQK+i7nPuHvj4LRo7Ger1PKy+HRqxf2A7f7\nntO1VlbCbe5cvEXnV7te9hqVosrzZUPKmoOlrAyenp4oo06y0oBcbvAnJXZUVMDdzw+Fnp4o8/dH\ngVIepDAa4UrHUewcuXx16oQjX32Fp2jbrl0YkJ+PQKn7RO8IlefqCFZpMsHF0xNlcu+nM1n60azp\nG2/gbbYTTAMna2Y1bYXaV+DWgE8vQSQ3F0GWui/xNGmCS8OGYevYsfgeAPr2xR6185aWwsvbGyX0\n7ri6wsiu6gQAP/2EIWrp8PUOlVva7u6OCi2rNUmVwaQkRAHaXBcpmLS/PwpYC6myMnjKCRFS7THb\nR9CDZs1wfvt2PMzW5QDw8MPYPmgQdvD7m0xw4V0zKivhNmkSvuSX350wAasoaHZhIfzMZhgiIpCa\nno7m7H43bqAOWbiUlcEzOBg5UkIEv7oau7Rpnz7Yy7YjrFBI+SVXDepvsm1zWRk8KWjmww9jO4nj\ncu8RtYdqcafS09GcxDOev//G3ex3JRcmkwkuvNstoN0igsqq2r6lpfDq2RMH5OLBaEmD/a/1GIMB\nZnK/koJftr2yEm6zZmGhVBlVS8NRlnUCaYQQUUvQO0aEmrmypRiNcGWFCLbjUlYGTzUhgh3k0rG/\n/ooH+YqcoIpGaUDCB/EDqio3tgGUEyLIIkLLKgKlpfCifJhMcNEaI4KECDIrDAjATdY1488/cS//\n3GmGmoc6NKwQcfQo7lEaXLB06YLDUtfFfpcSIhYuxCz2u1Sj+fjj+DYuDjFz5+ItuQ4hNTbbtmEo\nu8QfmwfWIoJ97mxsAjUh4uRJtAX+GRQyPR3NpRpW2qYkRGiZLZO65qAg5EpZRGhFzrKEyl6DBrh6\nzz04yltE0L1jLRzkxDO2Ay0nRPj6okgqCGtFBdzDwpDB788KEZS+JYOqykq4Kb2XlD7d8zVr8IRS\nDIrr11GvTh3ckBMi1FwzAGkhj2ZI334bb1gz0M7PRyANBKSuly/rxcXwoff72Wfx6Qcf4GWp4/jV\nSqrLIsLLC6Vy76dcgNrqgn0+FCPCywulrVrhDG0/dgwd6tXDdUcIEawVEFnx6SVE9OqF/RQsVw4t\nlixbtmA4BcjVglTwZd6keu5cvKV2bn7QTu86WQG4usKoxSKiqAi+rFUiUCUwzpiBRfyqXVJUVMDd\n3R0Vfn4oZGfuCwrgLydEzpuHefw2b2+UFBfDZ8QIbNbiEqIE289buRJPs++fXN/J1RXGJ5/E18Ct\n506z57wg6umJsp49cWDyZHwxfDi2kGUbP4t98yYCSIjw8EB5QABuKsXbefNNzG/XDidYSzqegADc\npM8hIciuXx/XGjdG1hdfYHKXLjhsNsOwbx960z6lpfCiWBUAMGcOFgBV8S34tEtL4eXqCuPQodim\nFhdoxAhsfuAB/Ka0D6Ek6NGqbzxa60QtLltmMwyrVmECYFm8I6mBvTWuGe++i9laj9EyRhkzBuvY\nZyxwToQQUUvQqkJq9ZHXe5k03jWDrTzlLCL4uAA0EGI7WJGRSJGq8KRiRPDwHWkPD5RXVsKNvXb+\nftIa1LRqhlJk8uhoJLi5obKsDJ6UTkkJvJVcGLy8UFpWBk+TCS7UuaRzUMPq4gKTlxdKFy3CDDIx\npLXG5ZbclBIiVqzARP7+8EKEnx8K583DPCl/3NJSeK1bhzF0/9VcMwB5X9p+/bC7Xj1cl3PNoAEp\ndRppO/us5IQIpSBZPLwJ/eLFeAWocg3avBkj+P1NJrh4eaE0KgpJSsEBWQwGmHn/cqky3KgRLtP1\nSd1XtYZezSKC4IWI777DYxs34lF+tRU10S0/H4HsdzqPjw+K3d1RsWwZprEuJWQpNGoUNrAR0und\nraiAO53Tkg43OyhTgu30KdWLV66gYVAQcuk95N8RJdcMekZSM540MHF1hdGaQGX33os/y8rguXYt\nxk2diuX873yaRiNc2W0uLjBJBXyjfU6fRutXX8X71SFEdOqEI4WF8FNbdtTagG56ImdGbDbDEBKC\nbEcsMcq+n/QsbBEiQkORCdyKhcD+JlXPWeMGotZXkRIipOIG5OWhrlI6fN2Rl4e6zZsjnWbHgaq6\nT60MX72KBg0a4Cr/7O+6Cxe1CDHs+85amNy8iQA5IaJhQ1zhf6N+ypYtGK51xQ4pzGYYeAGWggsD\nt9dZ27ZhKPu8aDUJuu6RI7EJuLW6E0+HDjhWVgZPiivFD3JZiwigqq+jNBCeNw/z2rXDieXLMVUu\nSDUrRDRogKvkDhMQgJsHDqCnVMwiilUBVN37qCgkUT5u3kQATazk5iKoUSNcrlcP1/l2j0fOxYHe\nMRald5Ys93jx3pqgxUr7WhorRe58lp7X0skWpRhxxPr1GE19Yy1uNgLHIISIWsaNG6gjF1k/NxdB\nHh4ol1tCkEXvpb9IiKBKmTdn5mNE0Hb2eOpoqUWxZ5FS9Z97Dp9MmIBV6eloTg0LmXO7uMDE+q/y\nM2H0mSwilO5TfDy6zZiBRWVl8KTKPTERnffvRy+5StdggNnTE2WlpfCiARVdAw2ySYgAqjpHwK3l\nNQMDkc+mFx6ONLo+ugYSIqTOz3f0KZK11ACgsBB+Y8fie/L5tEWIIORcM9glV+WEiLIyeJJrBkvd\nusgjk1E1kzy+0/fqq3ifyoNUnAKTCS4FBfBv1w4npBpE8h/96CO82Lo1TtP9YX1bKR2Kvn7vvfgT\nqOoISblmEFJmmixqFhEEL0Q0bIgrDzyA37RYRLDIPdvSUnglJSEqMRGdWZeS8nJ4uLmhMjwcaVKz\nyJWVcKOyb2k8FP4a2ftHJrtsmkoDibIyeHp5oZTywr8LW7diGH3m80nXJfUsaGDi5oZKawbyNBv4\n73/jGynXDF5cMZngoiXAJB23fTseXrwYr9hbiDAYYM7PR2BlJdzkBCE+XoUa5eXwsHW2mIUPVilX\njwQHI8cRQgTrjvTJJ3iuTx/stUWIYF3o+PgBUm2BNUKE2uA9NhYzWdN7QFrQUxqwtmiBc/w7mZeH\nunXrIo+9P56eKFO7BjqO36625DZRXg4Pd3dU8K5gV66goZJrFn+f2LJnzWokxIQJWEVukcSDD+JX\n+kzlKSkJUcOGYauU9QHl7epVNAgORo5S7KujR3EPiVq2ChHArbafnxmndkqub5aWhvAzZ9CKP660\nFF67d6MfKyzcuIE6L7yApUCVBe7s2Xg3IwNhOTkIDglBdmAg8tWEMLn6QKq8KZXBmzcR8MQTWCPn\naiSHJYIAvwS7GpS21CBfr/PKpUP3QW1ChuoQ1jJCuGY4F0KIqCXQy3rwIHrwfpTEypV4GpBfY54o\nLoaPJcHhWHJzEbRqFSbwM3Tkw0pChBaLCDb6MjvIlZt1JPbtQ+/338ergLRFxMcf43kyAYuNxUzg\n1qDH3R0VTz+NlbSv3GoNWoQI4FYHh47dsAGj5PJF0IoYNGikxp6u38UFJhJu6LePP8bzwD9njEi8\nYIUIgwFmrUKE2QyD3IwtDbLZBkGqgmf94/kBJ78MmZxrBhsci7137IC+tBRe9evjWteuOMSby/fo\ngYOAukWQ1LtDZVmq40zlUs41g7Y9/ji+/esvdJdrNE0muNSpgxtmMwxkLeHvjwIl1wzep5fHUosI\ndjvvh6xFZGLfy9RURNC1Hj+O9lJCI1DV2XVzQ+WhQ+jK3z+9hIhOnXDkzBm0Il9eqtt4tx6l6/L0\nRE0+iKYAACAASURBVBmVbXbQUVEB919+QX/2O3ssdXaffRaf8unaahGhBqVJ99XXF0XsedTcIIjq\niBHBpqP0/mu9TyNHYhO7jKCeKM3e+fmh0FEWEfSuhIcjbdQobNDDNcNshoEdfPv4oNjSAZQcWvLH\nr7YhNbEg51bVoAGuduyIZL7uuH4d9erVw3Va5QG41UZVVMD97Fm0lApmV1ICb6l6TGvMhooKuLNt\nYdeuOETpKgkR3bohnregI/hB8Lp1GCNV10ixbh3GKM3m073u1AlHgKpAo/zgndrEli1xVkkY9/ZG\nycGD6EF9UP6Z5ecjkLVgoPeIjwHFHkPvGdunoHdTqWxR/y4qCknse1xaCq+pU7GcvafnzqHFwYPo\nUVYGT3Jt6N0b+3JyEBwcjJzAQOTz13LiBNrt349e9F2uniWLn/vuwx+0Tek9unwZjRo1wmWaXCL0\ntojQuq9aGnqsmkHP02yGgbd8OXgQPfg879qFAf/7Hx5i0/jtNzyQl4e6WuLSCByDECJqCXwFws+4\nArciPMsxcyZiDx9GFymfOK28/DI+ePJJfP3ZZ3iG3U6uD/Sd7VCWl8NDqoFnGxh2cKEmRJC7AiDv\n50gCAhuQjbU+INj7yjYoJESoRdwnIYLySHlXGtRRx4YGjXzjRANf9tofeAC/PfooNvJpUQeHHZS4\nuMDEXiebvtEIVxJxCLkZWxIi6DnJddDZ58EO4tq3x3F2EEfXJnUuOSFi1iwspM80YGzaFBfYzkFp\nKbz8/VGwciWe/vJLTGLNT3mk1mfnnx1da0oKIqkBlRMiyF2kQQNcVYpXwg706VrZ5bzUyhkA7N6N\nfrwVkdR51CwigFt+yPz7oXR+tjPOdnBnzMCiFi1wTuoYNzdUtm6N0+xsOLvUat++2NOtG+K1zm5T\nh4Uth4mJ6BwejrR27XDiq6/w1I4dGGQywYXNr5oQwQp87D3mj+M7nWxEdal4M7ZYRPAMGIBd7He6\nj5Rf3jVDroPMD05odRx7WETwZVQuiC5fNtQ4fhzt5SwDbUVKcJ0xA4tGjcKGTp1wxBLfar2gVUfo\nu6XBjOWIi0MMu2SwpyfKpARZa4QItcG7pyfKyKya4GfwgarJF6m6l5bF5IMJkhDRqxf2s4OTykq4\nDR+OLePGYe2ECVhFkwYEBa3lz2OJEEGxmdLSEE5WjIC0ywmxfz968feBvRb2+9ix+F4uThQPPce2\nbXESuGXybzTCNTUVEfx7uGkTRgYE4CZrdXngAHqmpSE8Lg4xbOwmHppoOncOLfz8UPjKK1hM6RcW\nwq+wEH4UIByoaot8fFD87bd4nPow/ICfrDfYcl5SAm/WnVWKOnVww9MTZZmZCGXrn+3b8TC/7+ef\nYwpw+6pOqamIYIWIjRvx6PXrqJeXh7qLFmHGsGHY+tBD+B9QVefTfd65EwNZYa20FF7Xr6Pe//6H\nh8rK4Nm9O/5SemdJiOD7AnqJwJGRSLF0GU2lffVYNYN18+DrfnIrZK1lBw7ETqlYGAsWYA57720Z\n4wj0RwgRtZQxY7Bu7Fh8X1QEXxrUxsejm9S+N26gzrFj6PDee3ita1cciolBnN75oWCV7HegqoJJ\nSEC0JcEqn3kGn/G/sd/ZAZPc4IlvqMi0ld+frUzZinDwYPzMxoiQq5B5iwiaUVCziKBn5uoKI9s4\n7d2LPnFxiKFGnA1s+fzz+JhPiywi+BgRbCeDlGXajx0wm80wuLmhUmoAkJuLIOCWECE3a969O/6i\n56tm7i/nmkHnj4pCkty9owHjpk0Yyc4K0XYKQEnWEVJUVsLt8cfxLbuNOkCvvILFtO3kSbSlDpyS\nEFFWBk/yBdUqRBC+viiiexsaikwyEaWZtD59sJfdPyYGcWvW4An6rtUigsowu50sFagTpSREUCea\nLads+QoKQi6t2w7c/k65uaGyfn1cq6iAO7siDVD1LLy9UfLYY/hOq0UEXZ/c+0jbCwrgzw4YlTqA\n5JoBVLk+sTPE/ACM77yzlmVS++ppEcEvtUd5YVcq4gVgqXSkBE3APkIEf5zaaj5a75M9TW+lOs0u\nLjCtX4/RN26gzpIlmG6vc8thMsFl3Disfe45fALoJ0QAVYF6gSqrLg8PlNtqEZGUhKjgYOSo5c/H\nB8WsVSQAdOyI5PJyeLBm1tOnY4nUMp6VlXDbsAGjli/HVHY7CRELFmDO7t3ox/62YwcGkVA9ejTW\ns79JxawAbom2StcC3HrfO3TAsZYtcZa2S8VfYqH2Reo3NbcAOdj36MIFNC0rgye1j6+/jndatcIZ\nObcPavcA4IsvMDkiAqlq10ETTcXF8AkJQTZwq/9AA2y+XQoIwM2vv8aTZPnAC6Tz5mFey5Y4y8Yw\nYYNeykFxuPjt8+fjTX7b5Mn4wscHxfySo888g8/Ky+FRpw5u/P037m7fHsfr1cP1117De+x+7ETL\noEHY0bEjkoGq+282w+DtjRJ3d1R4eKA8KgpJWiwivv4aT7LlVi+LiLZtcVJp3ytX0FDJFWjmTMR+\n/jmmkFWpHhYRbPwx/jrvuQdH2X2ojyFlkVZRAfeNG/Hogw/iVxK25ALdC6ofIUTUEtgKhAZh69Zh\njJ8fCn18UOzmhkq2U5yVhcaNGuHyyZNoGxiIfHqpAYCN6KxXnmhQAdxuInz2LFrm5aGu3CCHXVaT\n9mnZEmcnTcKX/D4EP6CSSpcXECj2AJ+Wkmngc8/hE0qHBvw81CGkSpRcU5QsIho0wNXLl9GIrpkd\nMPTujX09e+KA1CBDatZ80SLMAKo6irRih4sLTHT/u3VDPGuNwgsRLi4wyQ2UeNNIJfN9un7WykVq\ndl7JNSM2FjPr1MGNN97A2+xvFCdDbsaqpATerI+/Evz1A9KuTHz5URIiaF+tQgTFs2CFiMpKuHXu\njEQAeOwxfLduHcbs3Ys+/L1gZ4G1xoiQMwtmfZ+VglVKuUyxHSreFYgtz25uqKTr5JflpWchN+N4\n7hxaKLlzKOW1sBB+ly6hCe2rxTUDqOq8sO+ZmkUE+zvfQSKfcb0sInj41S8qKuDOnkfOIkJOoJAS\nIp57Dp/06oX9SquOaMkj4eGBci0WEZcvo5FUPZGSgkilgZseSHWa6T3RexltrRiNcI2KQhLromet\nECEn9jz0EP4nF0vBEiGiY0ckBwTgplr+2MCBLO7uqHjoIfyPbXOlymxFBdxJrL16FQ0+/RTPAlXt\nNmulx8OKBAYDzFTOWEGSxccHxVKCwMcf43l2UkeujebFFktgz3vjBupoaeOA2wf15DJCedu4EY/y\n+7MrP5GQwMOuIMPD9jHomVKdkZiIzlJWROx99fFBsVQdc/YsWg4ahB30PioF/iTU6oZ33sHr7Pf6\n9XHtgw/wMlA1UUL3KTUVEVQG2ZgqbPpy9aJUWVKLU0JCRMuWOMta8qi1HVoD1LNlXYoWLXCue3f8\nJff7e+/hNXZVG611YGYmQt99F7OVLCKKiuDLukyzSC0JL8fNmwig8Y3Wd0Vgf4QQUUtgX/pBg7Dj\n8GF0yclB8MCB2Cm1/5YtGH7lChqykaMtISsLjaUCpLGwHZrKSrhRZ97HB8X0GzVAcpUWRdnnB7ls\npcVXnuxvcoMnqoTYQGxubqjkBwtsvljTQYIaJTmLDt4igtbUVhIiEhIQ/cYbeJuECKnGiRcieP9T\noGpms107nKAAgYWF8KP7SPnhA23xAzmDAWbeIoJ/VlqEiNmz8S5wuzmu1Oy8kmsG5atHDxzs1w+7\n+XtBg/769XGNPVZuJqu4GD5ffYWn2HdAaiArtcQkobZ8JytEKFnBsPduxAhsNhrhygsRbm6oLCmB\n9/TpWEKdrQULMIdNh1b5AG7voLAuFvw9VxPR5I4jaDv7bMvK4NmuHU6wnSCzGYY6dXCD3c/NDZVU\nBvnBJt07qRnHigq4t2yJs6xrDuVT6T6zSwAXF8OH3Bm0WkR4eKCcHfSoWUSUlsJr2DBsDQ5GDh8f\nxVaLiN69sW/4cGzht9Na7GoWEWS63qYNTrHHS6UJSAsR3t4oUZo9VUPKIkJuUEnnBKrqYt79D7jl\nCqO3EMEHq+TfhR9+wCPAreDAegbK1AIvFNoiREiJfj/+iH89/TRW8uWfsNQdheIgSf02dSqWp6Qg\nsrwcHkouC+wqRlIDvspKuL3+Ot7p2RMH4uIQ89xz+OTNNzEfAJ54Amv4/ckykDfbvnYN9c1mGEaM\nwGa5fsqRI+h04QKastu+/x5j2Zlret/5Y+XiNWnh6FHcQ3XQihWYqKUeyc5GCCtgsAGE33oLc8+d\nQwt2/x49cLB/f/xCM8h8QGxC6Z1j+yb0mfpamZkIlXLdS0tDeFISooCqMpmfj8DoaCQoiUhnzqCV\nUpmRgt//pZfwIfu9Th3cICGmaVNcoPK/YgUmSgUvJYKCkEsu0uTySX0NVtwm1ISIK1fQkO1zr1uH\nMaGhyNRLxKY+jNxzLCyEHx88VgmtQgRZXCkJEVJWkZYsy0muNS4uMFHfydJyIrAfQoiohXh7o6Rz\nZyQGBSF3xw4MMpthyMpCY7ZikLN6mDULCylqvxLJyeh49SoatG6N03IVDtthqaiAO734Pj4o5iOx\ny1V+ZC6nNMBQEiLUKht2FlYqfbXKlM6tZHmxejXGHzmCTvxyYXJpzp2Ltzp3RqKUawZBHfMZM7Do\njz9wHz/bsnMnBn74IV4Cqp51gwa4SgEwWYsIrUIE29jxDQI7ay43WJ07F2899xw+kVsJhVCyiOBd\nRvj8kOAQF4cYoCrIVlkZPMkigk3PbIbB1xdFmzZh5MmTaMufhxXwpDp3fOOvFCOCzq3UUePvnYsL\nTL6+KKLOGuXLywulBgPMcuJBXh7qsu46FByMyovUPWeDhLHwQoRcmZWK3VJWBs/mzZHOvxd8eaMA\nscnJ6FhRAXeDAWZeWJIypSUzYnamTi2fwD+FiAYNcHXgQOyUGxSZzTCwYhI/ENNiEeHri6LAQOTz\nQsTeveiTkIBoay0i6tfHtbFj8T2/PSgIuffdhz+o3FJ5oCWHab/ycnj4+aGQP3e3bojnTYwB6WCV\n5M5mrWsJf5xcZ5y3lgFuj79B0LO3p0WEVIwImil85hl8ZjDALLUKjD3hhUI9hAiypgNuWYBJPR+z\nGQbeLUgNT0+UyblbffYZnvn8c0zx8UGx0nPs2xd7Vq3CBOCfSySS9Z+fHwqvXUN9crd76y3MBYBx\n47CWT49c3srL4cEGXszORgj1l9jlhwkK5nj8ONqnp6P5iy/io7/+Qnc5Vyz+eFtmZrduxTBasYAG\ndIDyLHnjxsh6+mmsjIpCUnIyOrLuA7z7bkoKIim2GAkQ9erhOuueQfsp5ZOt83khIj8fgYMGYYfa\ntfbvj19at8bpBx7Ab0r7se25FvhJJF4gOHEC7egz2+7efTf+7t0b+/i+NLVNly+j0ebNGDF4MH6m\n8pmejuZXrqCh3NK0paXwKi+Hx2+/4QF+dRWyiKDvo0dj/aBB2KG3EKG2HxuIUwmtrhkffYQXAeUl\nynfswCAtaQFVS8Hz2zZtwkigKsaMqyuMYWHIqG6rNYE8mgqK0Wh0jYqKShoyZMhPADBv3rx5YWFh\nGVFRUUlRUVFJO3fu/L9GaOHChbMiIiJS27RpcyouLi6GticmJnZu37798YiIiNTp06cv0f9S7mzY\nRk9qdp43p5OaQYiNxUw5EykeqjTOnEErudkwtsPODiTZjis7My+VBs20yA1yGzdGlpIQIRV8kIWd\naZPqEKhVpnTf1fznr1xBQ/aeK1lE0LKNNKhauBCz+Cje7IDn/vvxOy9EDBiAXexMPhs00xqLiORk\ndKT4A/xsnxaLCMoD2zm2NEaEnBBB+aEBY8OGuBIUhNykJERlZyOkoAD+/v4o6N8fv9AxNPvFL0lG\n52EbPqMRrryVBT+A0mIRoYRajAiavabflMxP2SUjqfNI5rZS91wuLVYAsEaI0BLYjZ2RLy2Fl7c3\nSujeFhbCT06IyMxEKIlW/Mo2SkIE1Q2lpfAi02+lQRvdd7pn1ggRctfg74+CkBBkWzuQlzP1pmC0\nUlZTbKe1rAyeUkvzytWFUhYRrq4wurrCaG1n2FIhgj2P1HOmfNvbIoJPn+41RXgPCkKuJT7StqKn\nRURxMXyaNMGlhx/GdtpG5YwPVlleDg8aeN19N/7Weg65oJfE0qV4QYuYM348VoeHI238eKxm+yE0\n6Pf2Rgk/SI6IQCrF7WFhyzxrMXHPPTh6+DC6ANL+5z4+KB43DmuvX0e9H3/Ev5YswfR778WfR46g\nE7ufnBBha1l95x28/sEHeJlcTwB5lwDiwAH0JJdc1hqB74exz5TakubNkU5txuzZePfcObRQe/Y9\neuBgly44DNwKOEr3kh9g87AWWuS2SLACxp496KuUB562bXHy22/xOOuKA8g/jy+/xKTVqzH+3nvx\n5zff4N+0L2tRIgUrkhUVwbdRI1wOC0MG71Lg6Ymyt97CXE9PlD34IH7t1g3xrKvX5ctoxFsh5+Wh\n7unTaG3JdctBdZfafkr3ma8ntZyXrMn4+37hAppKxX5RQ+l5LF2KFwDt1yqoHjQ1lEuWLJkeGRmZ\nYjAY/r8/tMH80ksvfZiUlBSVlJQUNXDgwJ0AkJKSErl+/frRKSkpkbt27Rowbdq0ZWaz2QAAU6dO\nXb5y5cqnU1NTI1JTUyN27do1QOmcAstgZ4fklspj4TuOZjMMNAtmiRAByJuh8hYR1MGsrIQb6wde\nvz6u9e6NfVJpUIPKDzC6dUM8pSsnRHz4IV5Si/RP+7LrsLNIdeZYP7nu3fHXzJmIlRuAk18/AJBZ\nKKBsjunvj4KCAvjTNXfogGO8KSkfGZj8zeXS5IUIqoTd3FBJnSzgn5YhBgPMrq4wnjiBduPHYzVw\ne8Cprl1xiBUilMoO3zmWGny7uMBUWAi/5GR05GOMyM0c0cCWBr+eniijuBHNmyP93Dm0qFMHN3r0\nwEGa0SCz7sxMhAJVM0ty56mshBt/XVIWEdeuoT4fUEtPIYJ9vuzMDF/+6b1jByfUwZSyiJDz+dVq\nEUHxWt54A2/TDL0lQgQNGAoK4O/jg+KKCrjn5iKI3LmkBlWZmQh95BH8kJeHumxUfDUhgn4jiwgS\nIjZvxggpMYCfuaJgilQ2+UEzP7ii46VM2n19UTRwIHbKWUSYzTBkZCBMTqSQe+ddXGByd0cFHyOC\nd804fx7NPDxQzp+bF70iIpA6YAB2SQkRFNRULyFCbgDNth20Tao+oOfCX7scS5fiBYMBZksG7bwQ\ncf/9+H3IEPzE78fOUNsTsxkGvv6QC8inhZISePv4oJgtW6xFEKVrNsPg6YmyiAikqq0KxGMywaVX\nL+wn03vivffwmqX5pTqSFYvZ+DL8/l9+iUlyaR05gk6rVmECP1Bh20gp6tXD9WvXUF9JiJcTDqmt\nsgUKpBwdjYQmTXDp2DF0kBLCyKLDzw+FUi4WNDstBdWDYWHIWLkST2/fjoffeQev8+KAFB4eKCcf\n/zffxPwhQ/DTyZNoazLBZflyTJVy86X7wrob8i4c7EoXSi6UUgwahB2PPYbvWIsQ3rKG5emnsbJj\nRyQfPIgefEBrfmUWFnKfbN0ap5Xyww+M8/MReOAAegJVE3Lkpsjus2kTRv73v/iPUrpaoRgRav1/\nrYGjWRGFDword372++DB+FmLdTaP0jtI/aCLF3GX0rMWVC+qQkRGRkbYjh07Bk2cOHEFiQpms9lA\nn1m2bt06bOzYsd+7u7tXNGvW7Hx4eHhafHx8t+zs7JCCggL/6OjoBAB44okn1mzZsmW4/pdz58J2\nBLUIEdR4JyejI6+eaxEitCwDx1tEUAVG5s4UCTcyEikGA8z8GtWAvEXEU0/hq2vXUF9JiFATIaZM\nweckaMi5Zly9igZ8A8Eug9qwIa4sXIhZcpUfq85SdGm1vNEa2kqDqrFj8T0/M6W0xCN18Ok+Usfy\nhx/wCLtcp5RFBD/YKS6GT0AAbprNMAwdim2WWERocc2Ij0e3qCgkxcejG5VrJYuIU6fQ5rHH8B3N\nPvODq4QERJNlzLVrqD91KpZv2YLh+H/snXlcVdX6/z8HOCCDIJhM56iQoIaKkIZWVpiaU6ldvaZd\nFU3vLcwytUxt0ga10swsrPvVciq17KZoSo5kVmIqDkUqKiaTMyDIDPv3B78nV7u999nncBiE5/16\nnReHffaw9t5rr73WZz0DbgZ3pFkX+XFEE3fxuEpCxLVr8JG/ONUCnMlRunZi+k55DBB3d9yg7/JZ\nA3H22MEBlQ8+iN3kfqFkEeHtjRyl2QFxUKh1b+fPxwyqQ+vWYQSdt5IQIbfAofvv6oqivDx4kUXE\npUvwNZmQ6eSEcrklDVAlRAQHI61zZxxNS0MwdVotCREk4MiFiDVrMEopq5D8POh5EK0N2rTBmffe\nw9TYWCz96iv8UwxuqiVEWIoRMW0aFrZsiXR58DS1soll1GMR8csvuOvsWdyuZRHRvz+2nTqFtkou\nHFquGZWVcLA0eAP+/hxZ45qhdJ9pf3TulmZqKdK6Uuo+NeQxIn74AfdNmIBl8vWsjRPx6qt4XTQD\nt6Y88gCdrq4ostU9pKgIrhTNn5bJXTPk18BoRJlW2y+HJk7EWeH8fDSdMQPzrS3vuXMIki8TLSLE\n5atWYQylfVQiMhLJJLgDNyPrHz2KzuHhOEaubnJ8fHDt2jX4aF0DJYuIPXvQk0Rwa5g9G7Plg2Gg\nKgZVejpa9uyJPTTTLDJuHD4DqqwRlISIwEBkKZm2i7Rti1NhYUjR404hQu9gb2/kJCSg30sv4S3q\nEyql/mzWDLk9emCfKD4oiR4U06F1a/xhTXnIVdbbGzn//Ce+mjULc5XigF27Bp+CAnho9Ys7dsSv\n8ndobCyWbtiAYWSJKc9yJUdJDN27F/eTNYSW1Yg9si5ZihFB6BU4KyvhkJMDbwcHVOrJxCc/rlo5\nzGZkKLkk6kF8Z8iz7zF1h0UhYsqUKYvefffdFxwcHIRAgQZpyZIlz3Tu3Pno+PHjl+fm5jYDgKys\nrECz2fynKmk2mzMyMzNN8uUmkykzMzPTpHS82QKJiYnR1Tq7RoQ4GLeUChMAKC91ixa4LPcR1yNE\nyAfB9F1sjMUGq7wcTsOH40ugSh1PSEA/MumlTi+9pMXtRDNzeceTgiiqZc2wNEMzbhw+E7NyyNcn\nn1F5wyv35QfUhQUHB1SSNYO4jlaHRY8QAfzVqsKSECG3iJg6Fe+tXo3Ros888PfrYDBAkg+kxWjm\n7u64IUaM1zov+WynmmsGfb/7bvw8dy5mAdpCxIoVGLt2LUbSoF9+HXJz0Yxm/Z2dUdq8Oa4qmdgW\nF6OJ/DguLiipqICjmEaKyi5uS8+M3K9TKSiVeP703ZJFhHz2OzAQWefPo5W3N3J278aDSs8dCT3i\nQF4r+4UcvRYRtK74vzUWEbQ8NxfNPDxQUFYGY04OvKnTqWYRYTIhs2VLpC9YgOdpRs1SOSmQY0kJ\nXG7cgLu7O26QeKLHIgL4q3tGSQlcQkJwesoULKK4IvHxGCTfXikIY3k5nLSyZlCsEzE9nYjaNSbX\nDEsWEYT82GJbIoq61lhErFuHEXfdhV/kFkJy9Lpm0LKtWzFAS2imctBzqjRIVUJLvC8shJsYpE3P\nrKFYZr288QZe0ZqtV0OpHfX3xwW525leCgvh5uqKIrEdFYWI0lI4y82zhw3DBmuECGqvqC0wGCBR\nfbcWsZwkHFC7S/eVsolYMqOX0749TvTogX0//4y7p0zBImo/5Pj64lJ6Oloq3XMKfqkkRERHI5H6\nGdbw2muYo5SuW2wPVqzAWHk9FbOjqQWdDA/HMQBQMvkvL4eTVnYMLSiWhosLSkgoJAFQFNYJR0dU\n/PAD7qNzmDQJH953H36QrxcVhQNNmyK/SRMU//gj7t28GY9YKktKCsJGjcIa+v/LLzFcTfD19kaO\nUvmUmDQJH9L74u238eLQofgaAEaMwDq51a+83yqvO61b449XXsEbR44gYuNGDCHrTSWMRpRFRiJZ\nTxnVUHMvlQua+/ahx7FjCAe03S8kCQZrrA7kdVWt/56ejpbR0UhU28+yZZggSTBYEoJtDbDcWElM\nTIwWx+f23LemELFly5aHfX19L0VGRiaLFhCxsbFL09LSgo8cORIREBCQPW3atIX2KpB4otHR0Yn2\n2m9Dp6ICjvQg67GIIJQ6c3o6WaIVhJqv56FD6CKuT7ORYsehVy/sIh9OoxFl7dvjhPg7dW6UBmo0\nM6mWctNSx0g0M1WyiEhKQjcXF5QoWWqQuk/b6JmFdXREBaXqssY1Q+scCKWsGSJyIcLfHxdGjcIa\nmsGnAYMei4gbN+AuChHWWESIwb7ULCLE/2kQpuWaQfEeaGCmdB1E9wMSIajTFhGBIwYDpKNH0Vl+\nHGdnlK5ciRjqMKsJEWI9FZdruWaIqTbVhIjr1+GZkwNvpU5sy5ZInzIFi3buRO+iIrg6OqKiY0f8\nKreIkMd60DtgEAeFluqivM0pKYGL0n1QClZJx3rzTbxMqX1zcuBNEcnVYkSYTMg8eRLt9u1DD1pO\ns7lq5fT0xPWHH8aW4mI0KSiAh7s7boiuPfL1lYQkUYgQhQqlZ9qSRYRWsEdqd9SCiWoJEWquGWoZ\naSztVymILImWlZVwkFvV0WytkpWJ1rHVXDPo2omR0rWECL0zhIGByAKATz/FE2rrzJ6N2R9+iEn0\nv55ZQ8B6IcJWlNpRDw8UlJTAxZaZUnLNEOuA3DVDPsP5wQd41hYhQszeMGwYNlhbVoLaCrJGun4d\nnl5eyKO2wMMDBWfP4nYtawg19u1Dj9xcNNOacQ8Px7Fvv8VAJeGNBAO1GBG20qkTjs+ciXk0oJZn\nu6A4RxSgMzcXzSgNJaDeT3znHUzPyYG3kuCgtz+iRKtWOE8DUwpu+thjWA/czDajxr596PHmm3hZ\n6bl77DGsJ8vZe+7BTw8/jC2WynLHHfjdmvqqlyVL8ExREVx//RUdxdhLa9di5NCh+JpEkt69pwtu\nZgAAIABJREFUsVN+LqJA37kzjt5zD34CqmIlTJ+Odyy5jx05ggituCuWUIubIGanAaqsgzp3xtF9\n+9DDkhBhTZwcvUIEAIwdixVa+1q2DBMsiUf2sCJpTERHRyfWiRDx008/3RMfHz8oODg4beTIkWt3\n79794JgxY1b5+vpeMhgMksFgkCZMmLDswIEDUUCVpUN6evqfqY8yMjLMZrM5w2QyZWZkZJjF5SaT\n6W/BghjbqayEA/lI6rGIIJQaY3mDoJSyR80iQuzoiv6eNPsH3Oyw04vu4kX4UVloRoMgczZrhAgq\ng6VgNGLALOpUFxbCTQx4FhCAbCUhgl4oliwigJv3w9ERFRkZMB88iK5anRq9FhEi1rhmiPd32TJM\nAG4OepSECHkZaMaMzk2vEHH9OjwpnRWgnr5T/F8UisRyidePXtCFhXBzcUEJlfeee/ATmW2Ksz/U\n4aUZwzFjsOr++7G3qAiu8uMYjSi7fh2eYiYKKo9YTrWBiZYQIfq0qgkRv/6Kjj4+uKbWifX2Rs53\n36HvqlUYQ7ng5eKBrRYRp08jhAZ+1lpElJbCWem8PTxQID5PdK2vXYPPwYPoSiLR1atoLgoRxcVo\nIs5gnDmDNq1b4w/xGhYVwXXMGKyy5JtPAsuNG3D38EABBXnbvx/dT59GiLiukmuN3CKCztOSECF3\nYaN7qmYRQe2G+MzIy6ZlEUHHo7pbVgajvN4uX47x8mMr7VfLIuLdd/HC/PmYoVRGSo+qhppFxNq1\nGDllChbRchrgic+mlhCht0NOz63cjD0/H00pHaO8/dcrRFRnUGANSu0oZdZRencp8eOPuJcGiSTm\nif0I0SKCsjERlKXAmoEdXRs1i5lFizBl/35017s/ahuKiuCanY2Aq1fR3NMT16ncHh4oCA5GWnUC\nQwYF4Zzab7ffjrNXruA2+aANqIo/dOwYwv/4A63tKUS4uaFw7lzMonhRZEF28CC6PvssPqD1XnsN\nc2bOxDxqT8n9ZcsWPKy0XwcHVKpZS1QXcn2QtwtabgdAlYuklxfyaqJMNYE8qwgxcCC+3b0bDyrF\nTBDdU44cQQQ9f2lpCA4IQPauXegl30buEladbD0UI0JuKaCWolTJektu5Sn2zXv3xk758cgakf4X\nf1fKikRo9XUBdStCERYi6g+aQsTcuXNnpaent0xLSwtet27diAcffHD3qlWrxmRnZ/9p8vfNN988\n2qlTp+MAMGjQoPh169aNKC0tdU5LSwtOTU0NjYqKOuDv73/B09PzelJSUjdJkgyrV68ePWTIEMVc\n5YxtVFTAkWIQ6AmOR+ixiFAyYdIjRIj+fOIAjxoRraA3YWFIoe1ov/KyUoYFeYNCHXBLQoQ4+yYG\ntxI7VCQKyMUO6lBYK0S4uKBEDGCphDVCxJEjiGjVCuf1BquUu0/cfjvOGo0ooxlNug5r12IkUFUX\nlMQBGpx5eyOH6oclIeKxx7Be7MwpDYqpbtA1unoVzePiMFEuEHz8MZ66ehXNf/kFd8nLRfXXaEQZ\nzbSIdfree/GjJMFAL1hyvSB/efE48sEjdbrVXDOAv7snqcWI0OOaQd/VhCaadTEYIJEQIQ9WaatF\nRFYWAuPiMFHcl9q64rmcPIl2aoPkpk2RLw4+6FqLz6HRiLJLl+BL98fFBSWnTyOkeXNcpWublYXA\n1q3xhxhc7ccfcS9Zx2hB14NcMyZORNywYdjw2muYI5pJh4UhJT4eg7SEiOpYRMyYgfkbNmCYkkXE\npEn48MQJtP/Pf/DfvDx4yWc7AessIjw8UKBkEdG0KfK1LCJEN4j0dLSk7Cu0XxcXlMybh5lk6SVC\nwrjWrJhajIj33sNU8d6KZtSEUn2kY+l9B6o9m7NmYS61VfLnxZILGmGLRYTBAMnTE9etETHUnk2y\nrNOzjx49sG/6dLwD3BSaxWsjWkR8/z0eoOXJyYikd3VMDFaKGQ60IHcF0Y0JqLq25eVweu45vE/x\nm/Ty5JP4JCQEpwMDkTV7NmZ7euK6LVaicmj2vlUrnFdbx98fFwwGSCdOoH3PntgDVMXOod87d8bR\ndeswQs26qToMG4YN4nuqSxccklusiGWZNw8zX30VryuJJnWBpZgUDQmDARLVDzkvvYS3lJZPnYr3\nsrMRoBQfQy4GyF1OrWlHDAZImzfjkZkzMU9c7uSEcqW2zNERFfI+tmgZJ7eI2LULveQZbH75BXdR\nH0bJRVCrvDt3ordSTA+gKlC91raAemw7pvbRbTYjSZKBsmZMnz79nfDw8GOdO3c++v333z+waNGi\nKQAQFhaWMnz48C/DwsJS+vfvvy0uLm4ibRMXFzdxwoQJy0JDQ1NDQkJO9+vXT3OmhLGOyko4kJmx\nNaq/UofK0iw18NeHWPwuNjxip2TzZjxCfmU0wNLqJCUnI/LDDzGptBTO1NgpBbMxGlEmbySpY21J\niKBI17QNdebkpvmlpXCWN1pyIUKrY0qdIL0z0da4Zvj64tKNG3BXslwQkbtmiL/dey9+lAsRI0Zg\nHfBXIYJmScTZ7sBAZO3ejQczMmDW45px7hyCxEwo8vXpxUL+jj//jLuffhofKcVu8PHBNbmoI67j\n5ITyAQOwVSmQnLhOZCSSfX1xKTMTJktCBM2S0kuT6qRYN8X6qBYjQm52aEmIKCqCq9pAF6gyH3d2\nRqncyocCkxYXo4lelyVi+XKMJzNXSwJGv35I6NoVB3v1wq5z5xBEg3z5ek2bIl80x6brIA9Kevky\nWogWEbQ+xeCglKw+Prh2/jxa/etf+PzcOQRFReHApEn4UOu86HqIZaR7JHbkfv8dd2zdigFarhla\nFhHHjiH8wAFEqQkRANC3L75TsoigDhv5dMtTvcmPLeLlhTx5sEpPT1xXsoho2hT5FRVwvHoVzT//\nHP9S26+jIypefhlvUpwfulbu7rjRty++u3IFt5E1SXExmhiNKKNnhSzelJCXh66FvK2n2TRL1i50\nHfUOPIuK4KoUKE/MZCDW+4oKONa0a0Z+Pppak8VD7dm0RogAbr67yTXDYIBEGQuoPpBATURE4Ah9\nf/ppfKR3cEsCsehWRdhq/v/ss/iAnpOzZ3G7OOjXEzBYjX79kCBJMFgqFw1+vvoK/6yshANlIROp\njiCiBgWnFZdRnAc15szBa/IMFHWF2KY0ZoxGlL34It6m7CKiVQugnopedIGm99fgwdiUlIRuFIxX\nDwYDJCUrhH79kECuLyJKQoSIPLU2cNNShNql997DVGrrKD08YSnGjaXgn5ZgIaL+oFuIiI6OToyP\njx8EAKtXrx597Nix8KNHj3beuHHjED8/vz9VqVmzZs09ffp0yIkTJ9r37dv3O1repUuXQ8ePH+90\n+vTpkA8++OBZ+54GI85+WrOdHosIpXXEwYSaRYS8c00uHlOmYNGCBXheq5NEs7vl5XDSGpArCRF0\nHEtmkF5eyCspgUtREVzFII2iWSLNLMo7zDQ7TR1ArY4pWUToHQBaYxHRpAmK8/PR1JKpmpYQ4eWF\nPFGIkKfvpPVzc9Hs3DkEif7/ZjMyyspgHD4cX1oSIuil9NlnGAcoz+SRiSaZ3NO9LSmBi5LPoNZ1\nLyyEW+vW+EMrAFxZGYy9emHX/fdj76VL8LUkRFCwM6rbSvdfrPdKg7rOnXH0u+/QVwwuZUmIOHkS\n7ZTqc/v2OAFUpR1Tc82guAzWWEMAN+uhuC+1dX19cemXX3BXQACys7MRUB0hQm4RIbZpZ8/i9tJS\nOFdWwoGua8uWSA8ORlpWFgL9/XHBUgdFSYigY1AdTUhAP6DKykJ+3cXAk2oWEWVlMA4diq9JiFAK\nVnnHHfh90iR8qGQRsWcPegJVaXofeQSbr15F83370GPPHvSkKOxKdevkSbSbOxezRIsIynIjWkTQ\neZNFRGIiokeNwpp16zBCab9Kg/XCQri5u+MGxV+hMm/YgGFlZTC6u+PGXXfhl/Pn0UrtXsifLwqy\nKa+nSqbiSh1JOr9z5xD0+OP4AtBOyVdcjCYvvoi35bPvopgtxocggaKmXTPoWduyBQ9bEtbsYREh\nIsZZoZSDVB/ELCT0jNjC0aPoTLP0cndMW2nZEukkVBYWwk300ddyq7AXdM2aN8dVqh+SBIM4O2vL\n/bCFli2RTs/C+PFYTu2sNT77tYU93VVudebPxwxylw0PxzHRQk9NxBLdE+l9HR+PQfHxGKQU0FQJ\nivGiJiwouQ46OqJCzW0Q0I4RIVpDU1trKbCxEvL9W+O+w64Z9Yd61ygxtmHtIIPQEyNCvk5FBRzF\nNFt6hYhnnsESSYJh8GBsmjYNCy3FsqDZMa0BrlyIuHwZLcjvzNIg3mCARGm3xAG4GBWYZhblnV7q\nmNE2WrNf1Om3JltBeTmcSkrgokeIsBQfgtYT03eKv3l5IY8Ub6UYEVT+jh3xa0YGzKJFBJlkkz+g\nVgedBixkcq1UZ52dUZqejpbytHvXr8PTmjz1gHpUcCW8vJD34YeYRAEEabl4Pt27Yz/VAy2LCPEF\npzSo69IFhwIDkZWcjEgKSKUWA0XrfwB44AF8TzMHRiPKRDcMGqBQQFFr4kMAVQMZvUIEQULExYvw\nUzLXV3PNoA5FRgbMWhYRAwZgq4sLSjw8UCBecxJNCgrgQcFh1ZC7ZojHoPu6Zg1G0fpyv1uybjh2\nDOE3bsBdySKisBBu5LKkZhGRlwcvsl4Q20oxU4nZjIzmzXE1OxsB992HHx58ELspu4BS3WrbFqfc\n3FB49ixu//e/8X90nBYtcFnMmiEKERUVcKTB+qZNGKzkmiHOnooCh5sbCv39ccHHB9euXMFthw6h\ny+jRWE3rmkzIFAPUypFfWxIi5O2IUgT048fRSb5MvI4UMNOSEEGCtDwzBvD3IJZ6OsuVlXD417/w\nuS0WEXJrvg8/xCSKYaLGqVNoaw+LCNrH3r24nwY9VKepPohxG0gQswU3NxSSKwi5dlQX8bknURKo\nupZt2uCMPY6hxejRWE1uHCJ0DSdNwoeUWac2oPs5eDA2kVtJdWJk1BSiYMT8lW+/xcCTJ9FOyxJM\ntPyZPh3vUApgve96V1cUPfMMlqhlzQCUhYhz5xCklW5XySKC9iUKEfIMTdYwbx5miv9Tdhx5OZW2\nZSGi/sBCRAPB0my0GrYIEaLZKlDlG0qdQlGhFB90f39coAjlhKWBIs0UWrKIUDumHnWU0k+KFhHB\nwUjr1AnHaf9aQgRdm9at8YeaNYq1QgQFGsvLg5ele6oVKE/EzQ2FRUVwVaonjo6oWLECYwHl9J0R\nETjy+++4IyAA2YWFcJOn93vsMaxv1w4nLflOOzujNDYWSwMDkXXHHfi9sBBuStfEbEaGfDY9NxfN\nrBlEt22LU1ouGWpcvAg/Ov8FC/A8RfUGbtYF4GY9U7KIEOugUvpHMRDczz/jbkDf86smNlGHu7QU\nzvKUmw4OqBTreE1ZRBCBgcjKzkbA+fNopTQLqWYRISK3iFCq2/LOq4cHCm7cgDu5bGiV0dUVRWQR\nQYMX+T36/HP8i0xk5X63zs4oLSyEW+fOOPrSS3iLthVFgcJCuJEQU1yMJkrBKnNz0czLC3lyiwiK\nf0H36ptv8GhsLJaK20oSDFqpYanzVVgItzffxMve3sgRXTPovD08UFBZCQeadW/VCudFIYI6oKJo\nTEGIxTS+r72GORkZMHftioNiOW67DVfGjcNnatYBBQXwECPmWyNELF+O8fKAe2KHmVK6KtV5MX2k\nlxfysrMR0LYtThUWwk2SYKB3lbwNIQskLQwGSGppSC0hFyL0zGB37479SnGcmjRB8YEDiNJ77NWr\nMfrHH3Hv+vV4jEy06b7Rc+rpieuUmaK6yO+xPFBsdfcn76fUNG5uKFQKzkrt85IleEbJz78m6d4d\n+7t0waHHH8cX8vSRdc1336Ev8NfA08xfadECl9u2xSktix7xHZCYiGjqu1o7HtASApSECKX0riKS\nBIOSCNC/P7aJ7wl6f9oiRNA7mlDqo7RogcvPP48F8vaAhYj6AwsRDQRrMiyI6HHNkDdocj+yq1fR\nXIyuD1R11sXGS8yaQZBQoNYA6bGIEAcylZVwoI5Tr17Y9eij+EZpGxEyW1dLD0kmzpaEiA0bMExt\n5s1aIQKoGiDk5cHL0jZ6XzaurigqLISb0rX8+msMTUxENPB3iwga/LZvjxOUIUM+EztiBNZRfAVL\n5enWDUk//4y7Kaqx2vpy0eraNfhY43Z08iTa/eMf+J/e9R95BJuBqtlTOv9p07DwqafwMflBi7Pa\nWq4Zliwi3N1xQ24NpFbHP/kET/7nP/gvYFlYy8uDl1yIINcMWy0iaEZV77a+vri0ZAmeycpCoJgy\nVdynkhBB5+7vjwtkEUFCJV3bAQOwlbaT1wWy+tAjRNA1UooRAdzMiNOxI34F/m7t5OyMUjGnO5VP\nFM+oLDNnYt7AgfiWxItPPsGTQJVbAQWRlFtEZGTAbDLhz6xSSq5FeXnw0srIQkLDjz/iXuCmOwnV\nDbo3Yj1cvBiT9+xBz1270Iv2S+uL15sGjKIQERyMNLHTuXcv7geq7mt+PpqqDYgLCuARGYlkMi9W\nEyLUAhsvWoQpQFUH/PJltBCtL0jIkosg33yDR6m+kUUExbFwd8eNRYswRXTHsAVbhQh5oGVLcY60\nfv/2Wwx8+WW8ac3xe/TAPqCqDgI3g8/JrY+s2ade7GG10K0bkmiwr+ZTX9sMHYqvtdyTapKff8bd\ngYHIeuMNvKKUdaEueeghbD9/Hq0sBe9mtFHrP2tlnbBmPwDw7rt4Qb5MzdKAkCQYlFLy7tiBPqIo\nILe+qw5KKWcpsxMFT2bqHyxENBBq0iJC/r9S8DEy5aRBmKsrisQBmdJA35ISSinjLFlE0PeKCjhS\np/Ouu/CLnoGTKEQora/mmiGPEeHmhkK1gaItQgQNpvRuo6RYi2hZRIj/i/dp3z70EE1N6VrJXUGa\nN8fVXbvQa8sWPGypDspnhNTOLzISyWKApCtXcJtWJPyHHsJ2S512LXx8cK1rVxzMyYG33CJEnJmX\nu2ZQ+bUsIuTl9vBAgV4h4j//wX+nT8c7jo6osDTAvnED7mVlMO7bhx6U6UV0zaiuRYSebekZyMyE\nSWkgoCZE7NyJ3lu3YsDx4+hUWgrnK1dwmzxtWIcO+I0GRvLBpbs7bhQUwEOvEFFUBNfr1+GpZBFB\n6fDI5FVJiBADrJF7gThAy8yEKS8PXrNmYW7z5rjq7IzS5GREPvUUPi4rg/H6dXhSVH8xsGRlJRwS\nEtBPFOLEzhwFofvHP/A/SYJBzV2Jrg9FYqdjFBejyZtv4uWNGzEEuNluDx+OL6OicICy0BiNKHv+\neSwgSwyxDpOZtxhLwGRCpijOUKfv/ffxnIcHCpSCbQLA//6Hfxw4gCh6fqwVIkgo69kTe555BkvE\nlJ8tWuDyvffiR/m2JFBeuwYfEiLE38WsELaiFpxUDXrO5BYRlto08ie3J02aoPjjj/EUoCx+vvkm\nXibhurrs3Ine9tgPsX8/uo8cibUA8PrreNWe+7YVgwESxRZi/gpfF/ug1DdauhSx1uxD6/1uizCr\ntz9G71lq8996Cy/ZUkbgr5MBhK3Bb5nag4WIBoKtQoQeiwh5g6Lk80vHps6XiwtKxMGx3PceuCki\nqDVYZLKsdW7UiDk4oLKiAo40aNDbCRQD+alZRGi5ZuhRcW21iLBmG0smvFoWEaIftChE3HsvfhRN\nAsnEXy5EiINqS3VQ7o6jtX7TpsingI4VFXBUs4j46iv8k2ZGq4ObGwqVYlFQGcvL4bR5Mx7JykKg\npRgRZ8/i9s2b8Yg4WCPuuQc/iedy4ACitOJrtGmDM0qDMxF6Dtatw4j/+z/8+4kn8KnomvHZZxh3\n7Rp8rK2DNNDTa3ElWi2ope/MyYG3OPAEqgaS/ftj22234cqlS/BVGiBWVMCRzlNJiLhxA+56Y0Rc\nvYrmZWUw0jGU6halwJMfi+o7WcpQ+yV2gjIzYaJgjkDVwJQyDqSnoyXFh6D9kevBHXfg93nzMFNs\nEw0GSPHxGDR4MDYdPYrOQFVgSAcHVKrVCWoHSVho3hxXS0vhXFQE106dcJzcRqhuenigQAyeWlYG\n47vv4oV//hNfidfn3//G/9F30SLCZELmmTNoQ9vTfXJ1RdGoUVizeTMemTwZi+XlvHwZLcTj6hUi\n6HcxBoJ4zUaNwhovL+S5uqLo/ffxHA14RRHsxRfxNrlmiPu2R/A8ay0iSDyz1jVDySWDIKsUpXK8\n+SZeNhggyd2OgKp4POSC8vDD2CKPmB8UhHMPPIDvLZ+VZawV3PVAddJS3CSGaSgUF6PJwYPoWp19\n2Dt+iF4hgtoAcqXTCs6r1F498wyWDByIbwF9WQCZ+gcLEQ0EW10zlBof+TJ5Z4hSXipBnR4XF5TI\nLSLkHTwqr1qDJbpmqJ0bRXMn4YMGDXpT81iyiCDXDNovBRekxk2PDy8NRqzp4ForRFhCyyJi4EB8\n6+SEcsrhrjbLquaaIaZws3SOJETQgNXSS2LPHvQkc2E1IWLYMGywR8AzNSGCXn47d6L3xx/jqZgY\nrLTkmjF3LmYNGoR4uRAhSTD06oVd4nnHx2OQmhCmF7n1QEYGzNQmUB3KzITJFosISYJBb/tiqTPT\ntCnyz5xBG7omSudMFgBy0Uru8iIvKwkRemJEXLwIv2bNkEvlJdcAiuR/5504bDYjY8sWPLxhA4aJ\n21OH6YcfcN/ixZhMQSFp4OPighIKlEj7F5+L8+fRKi8PXnR+ohBBUf8nTkSceMxHHsFmsmIgtKyg\nQkORSt8HDsS3sbFYWlYGo1gfJQkGKrObGwrFZ1o+8Kdnz2RCJg3mxX21aIHLYidRdC257TZcWbMG\noz74AH9myyILiYAAZIsuVHqEiFdewRuXL6MF8Nc6IQ48SVxwdUXR//6Hf0ydiveAv4roTk4oLy5G\nE3k9q85zSNRWjAitdu+++/CDvz8uKL2vX3kFbwBV5tuUjvTqVTRfuhSxYl01GCDVZDBBarfs6a89\nbRoWWvJfZ5iGRpcuOEQpmG3B3kKE3gwt9G4h1yytcihlDvngAzxLaUH1jGeY+gcLEQ0EWy0ilLAk\nRCgFDjt4EF0zM2GiAXuTJiiWx4hQm2nWcs2gYJWWLCLIjYM6f3o7k5YsIkTXjPBwHCOfa0KP4GHL\nDI21M0VKeZ5FRIsI+fWmtI83bsDdkhChZBHh6IiKL7/EcMDydadOv15/PS8v5FFKTy3XDHvg5obC\n/Hw0lZ9DUhK6if/v3IneZP5rKUaEkkWEnLfewkta190aqL5QiktyzQCqOujW1EEnJ5RTu2Kr0CmH\nXA6oDVHaJwXDEy0Mnn8eC8aOxQr6n2IXEO7uuHH5MloYjSizdB2bNEHxpUvwFaON0/4o+FVUFA4A\nVYN4+ewvtTEeHih49ll8IM/wopQNiK67kxPKc3Lg/cQT+JSsG+jZXLECYx0cUHn4MO7UCiwnukCo\nsWkTBpOPcPv2ONG0KfJPnkS7kyfRTknQk5u09uyJPeL/NDj198cFEiJEiwh6DsgNQ3weRLcMgwGS\nwQDJZELmH3+g9bVr8BFTg2oJEcnJiKSyUHnFyOxi3abv4rOXn4+mzz+PBfR/06bILy5GEz8//Jl+\nnMqodE1JXNJDdYUIynCk1pk/fRohBgMkSy55zZvjqtbEwd69uD8xEdFOTij38cG1p57Cx9aWuTqE\nhiJVK6uKLTRpgmIlX3GGaeh07Ihf+/TBDlu21UrfqQf5O0Tcl1Zgenm/Tmx/yQ1QLyw63JqwENFA\nsNdAQQklIWLkSKwVO36ffIIn58zBa6Jrhji7o1Q+Jf96+e+WLCLUhIghQ7BRz7m5uaEwIwPmo0fR\nWc0igoQIpdl+PTM5onm2njIBNWcRoTbg9ffHhexsBKhZhtA+lCwigJszkJYGgXRe1syyqWU2sDdu\nbihUciGSz06LUDo/uRBB17C4GE20hIh77sFP4eE4pnRca0hIQL/kZEQmJKAfUGWyTQIeWZ8kJaGb\nrebKpaVw1lsXJQkGtQ6N2YwMUQBQonNnHAX+ek3ffRcviCb8cneJwEBknTiB9nKBQgklIWL4cHz5\n3nuYetttuNK1Kw4quREQ06Zh4XvvYara7/RsiANXajvuvx97//EP/C8vD17kH03pRMeNw2eVlXCw\nFEVeHshVCVdXFJHlhiTB0KoVzjs4oDIjA2al+kiCgrc3crp3x355PSHB1dsbOTk58JYkGAoL4aa0\nL3mQUrmoQTz5JD65dg0+zZvjKtUXLSGCsmsYjSija3z2LG6njE1iak25EHH8ODp17oyjlPoUuBmA\nTf7cya1BqJ6Q+a8eXFxQYsk9cP16PCZf53//wz+Aqnu8ciVi1J4jEpksBWRu3hxXtbJHjBuHzx58\nELtrWuTVQrSeYRjGdsLDcWz7djw0bhw+s3bb6g7i5WKD2HZpxd3R6pN8/jn+tW8fegDK6ZrlxzIY\nID3xBD6l5Q8/jC36Ss/UJSxENBDsaRFBDB2Kr2nfhYVwO3wYdwJVQkRUFA6I/rZAVQdOKUYEDX7l\nDZ0lIYJcM6yxiCgthXOfPthx//3Yq+ccmzZF/iuv4I133sF0rRgRpaVwVhIi9FhE1LQQcfAgulry\nD6RZVzVBhWbOLFlE0D2Wnwu5rOjN8mGNwEJm5rUhRAB/H5iQyEIDOyXkQgSdpyWLiOBgpB07hvAt\nW/BwdYSI9u1xIiICR+gc0tIQLIp/x44hHKie37S92hfxPirN6HbqhOMUlFKJefMw8/338Zy4zJoI\n+a6uKJILEe7uuEGBDn/5BXdppWns2hUHxaCISvsHgDVrMIqWbdqEwcDNep+WhmBy6TAaUSZeB7mb\njRIHD6KrVm55EbKCouwrSvWRlp0+jZCtWzFA/ntEBI5MnYr3vL2R8/XXGFpcjCaOjqgQ25JPPsGT\n//0v/iPfdtQorFEq13ffoa8eiwhJgqGoCK5Ut8mqguJDkHAlZibo1Qu75OdKVmOiBQQHfNaXAAAg\nAElEQVTVAdGKhe4VQWJzUBDOrV6N0UrnIsfZGaWWLCJGjMA6SmGoREYGzEoWEQYDJKVo9Eq0aYMz\nqakIFZcVFcFV3g7UdNvKMEztIaYdtwRlcqquECG3cqU+IaCd8UvLIsLFBSUkMlAWKy0MBkiiAMLx\nIW4NWIhoIFgbEV8PNANZWQmHt9/Gi1264NDAgfiWTHLlJsgFBfAgP2HRIkJtcEvlXbcOI5SOb02w\nymvX4LN2LUaWlMDFmsFWQACyaQZMzTWD0ncq7dca1wxrYkRY45rRpQsOWUqBRW4VakJEcjIi774b\nP2sJETSA++gjPC2/HySc6JmRBoAJE7BsxQqM1bOuaPatZ31bURMiKAYGzVYqIRci6DpcvowWWkIE\nBQ1UOq4tiM+kaElEPpRiQEFrsVf7InY8LD3XSsyYgflPP42PxGUGA6SDB9FVT51ydUVRSQlcasr3\nXWkASsvE9iIuDhOBv3ee9HQIu3TBIa3c8iI0yKS0m0qDThrM+/jgmpIQ0qwZchcuxDQ6ZkYGzPL1\n/vMf/JdcltQICsI5cjtp1w4nU1MR6uODa926IalNG5xREiJKSuBiNKJMqc2ZPRuzgaoAZ6IYS+bJ\nNJBv1w4nXV1R9PbbeFFMJUod5D/+QOv0dLSk4JwidM/Ky+Gk993i4oKS9evxmKV7OWgQ4vfsQU+l\n37y9kaNmEZGdjQA95fD1xSW5a0Z2NgLkwp2SOxHDMLcmffviu6NH0Vkpw50cCsqs572j1YfV6h+I\nfZsRI7DurbfwEllCyTPwiOW46y78osddhNpxgwGSKN6q9Z/nzcPM/v2xzdJ+mdqBhYgGgpb7gq20\na4eTQNWMFJm9bt2KAcuWYQINChcvxmRav6AAHjTrJFpEqJmdU3nVZnecnFBeVATXvDx4qZ2bOJh4\n9ll8UFoKZ2vMTMUOmZIfmyXXDD0BeRwcUFlYCDdrAwUC9nPNcHVFUVERXC25mFy+jBZqnW1XVxRR\nMKT0dLRUWkcrijshSTCEh+NYTAxW6in72LFY8fXXGFrT6raaEDF8OL4UA/spIRci6DnIykKgpRgR\nzzyDJYB9ovWLfpqiOGnrtUtORiRZF9nL/5IGwqtWYYy9ou8DVYNzPXWKTPwtuYjYwjvvYPrixZjc\nrx8SxOWLF2PysmWYILZXSukFFyzA8/Ysz5496EkpPGmGSl4fJQkG6oxaIjQUqb6+uPT777iDAnzq\n4eGHseWjj/D0qVNoS/WIBvjNm+Pq+vV47PffcYeSEKFlVTRrFuZmZyPgjTfwCi3r3Rs76TtZaJw8\niXYZGTA/9RQ+btUK5x9/HF8AwLlzCAKqBEGzGRlffYV/AoBo8UIdZqWAy2q4uKCE3CcsxXEgS0M5\nzzyDJWRhSG51eo4tohQjIjsbAQEByN64EUMoQr1oTcIwzK1PeDiOUXwtLaitlceIUHo/du2Kg8Df\n07DT9mrHcHBA5cGD6HrjBtzXrsXIWbMw96OP8DTw18xHYnnENt0SFPtHLkR88w0eVVq/Uycc17tv\npuZhIaKBoNc1gwLB6aFDB/zWvTv2p6QgTD7TTbNh4kB+5070pvWaNEGxOJOkJUSo4eiIiv370b1j\nR/yqdm5y0cFaiwjxeig1vEYjyj79FE/s3o0HbRUiAGVzaC1qIkaEUqBJOeXlcFIrq7hcKajZpk0Y\nXBM+eYGByBIj69cUVEfVrDq0BC5x4FRRAUd6uZaWwlnr3oeE4PSLL+Jt8fjVQZzZvH4dnvIyW4o/\nICciAkf0ujnphco0ejRW14VvOpmQ1oQQ8cILeHfYMGzYtg39xeXdu2P/+PFY/umneIKsUm6/HWfF\nde67Dz9Mm4aF9ixPdDQSqS2hzpqWmawePDxQcOYM2shjQWixeTMemTgRcWIbevYsbh88GJsMBkjk\n5kEuDXqFCKMRZf7+uNCsGXLDw3GsVy/sojgpwE1LD4LuuZrwQsehNvKee/DToUPoAlQ913qfUbFe\niwEylXjrLbyk9tuNG3Cnck+ahA8tiRpymjfH1YULMU1c9tNPuKdZM+QOHoxNtR2ckmGY+oWYglwU\nIu6+Gz+rrasUp0hrosLRERVduuCQ2D+Ru3bL92PNxAy1twYDpKFD8TVZxJH7o1J5tm1Dfz2Bn5ma\nh4WIBsD69Xhs9248qGfQak006dtuw5XTpxHyxBP4VO77S51beWNRWQmHp5/GR/37Y9uFC/AH1GeS\nLM2wiuejdm7kt08df6XBlxaif7JSw+jkhPLkZETOm4eZ1REirIUabHsKEdevw1OSYFDqTIudVTV/\nYeqkR0cjUWlAO2gQ4q0VXOoTe/fifq3flerVF1/gceDvFhG5uWimFLlfpLAQbk8/jY9oQGcPiwjx\nRZ+bi2bye6n2YtZCHg27utRlYDzg5jWqi7p62224QgKEfLaqpl2PmjZF/tmzuL2699PdHTcoXoQt\n24uxVsQ0o8BNyy3xebp6Fc3FY6mZ6n7/PR6Ij8cgsc3cvh0PZWTAfPIk2onbxcRgpTxbBnCzbixd\niligSrjz8cG1bdvQPzoaiXqtgn76CffQd3k8k7FjsWLVKoyh/9U65ABw4gTaA1Vtyief4EmljFXA\nTdcrOSNGYB1tD1SJOtOn4x1yoaQ6qDfmBMMwtz6iy4aY+Uts37QmNpWyOmmtr9SPtdS3pbbOmkwe\nBgOkwYOxiYISq2VnozY3PBzHWrXCefGzZQse1ns8xj6wENEAGDEC69auxUg9FhHkU6sFdVJatMBl\necTt4GCknT6NkB49sA9QnsX98ENM8vPDRYq9oGYRYWlAIm6jdm4xMVh55gza9OuHhNtvx9nTpxFi\nbUC+I0cQkZCAfi+/jDflv4mDQ6X91pQQISq89tifqyuKzp1DUIsWuKx0LadOxXsU3V4rRgSgHtOj\noaAWHZ/uP1lM+PnhIvnEy4WIzEyYwsNxDFAf8Lq6oshggOTggEoHB1TaI3q83NdbPPapU2hraXZW\nCXsLEXUdGI/ulRifo7bJz0dTuXmova+zEkomtdZCbnq2pKcEqoKjkV8w5Y4nlISIzEyY9DwbzZoh\nV17/fX1xyWRCppIAr2RdIAYadXZGKbWJ/fohQSngshrywLZiwMiVKxGj1y1NDllIiIwZg1W//oqO\nSuu7uaHQywt5ZKFF73ZKQ00d9ZUrEWNLeRiGubXYuxf3i+9g0SJCXE+pn0jrkEuXiJawoBSDhtaX\nuyPSMeSxI/QgL4NaX/byZbQAqlxP9+1DD/GjlTqbqRlYiGhAfPwxnrK0jtggjBmDVUrr5OTAW22w\n4OmJ623a4Aw1Ft26IYl+Ezv2RiPKcnPRrKQELmoxIuSdUDl6LCIcHFBJM4xBQTh38CC6Wjvj2rkz\njvbti+9E6wjxPJS+EzUtRNgLynhhjTm1HPIJ1+N3eCvy9tt4cdkyTFCzTKA66OyM0qNH0ZnSSgF/\nfWmXl8OpoAAelANbz8C7ogKOlM6xOsjFMrEehYYi1ZZ61dAsIoCqtkqMJVDbKFk/2MM1pzag+DBK\ng2I9eHriOgWAlc/kkwsZvV8kCYYffsB99ng25CgJEXQPgoJwrqQELnILIr1CxMyZmLdrF3rR/23b\n4lSXLjiUkoKw6pRZKw2eGh4eKKB7Jb9nDg6ovHYNPhyskmEaJnLB+L778IP4vxhHiqwPvL2RoyRE\nUH9XS6RQQmkyhvYhD3BM+6H+ll6LiB9/xL3yuEVq44boaCQOHoxNcmuIVq1wntvC2kfXIKqiosIx\nMjIy+ZFHHtkMANeuXfPp06fPjrZt25566KGHtufm5v6Zv3vevHkzQ0NDU9u3b39i+/btf+bsPnTo\nUJdOnTodDw0NTZ08ebJqjnbGOsRGRm/KHprRUms4tm/HQ3/8gdbisrlzMQv4e5BCX19cmjMHrwF/\nbWycnFC+axd6/fOf+Or77/GA0uDulVfwhlbaSVEY0GPtYTIh8/vv8UBWFgItrasXcdCkFCyMOtT2\npjppFpWge6OV5tDSMcPCkCJJMNjLSqO+ERWFA+PHY7na7+LMQXg4jlHQQ/E3oOr5KSyEGwlztZlC\nymCARLMVLVrgsj3ulb2FCDVzydrk8mW0sJRppjZ5/HF88eij+Kauy2EN1Yln4eWFvKNH0Zks6wi5\nRURyMiLnzsWs6gioaixYgOfls3Hz5mEmYLu1B2E0okw+s3b4MO5Uc6HQC7laiIhuHkqUlcFIQg5Z\nRIjY6mLDMEz9R6lfJ/YLlCwi1CZPQkOR6ueHi0p9GgcHVI4bh8+qWz4xeCagX4gQ04USauJ+eDiO\nbdyIIdaWlakZdAkRixcvnhwWFpZiMBgkAJg/f/6MPn367Dh16lTbXr167Zo/f/4MAEhJSQlbv379\nYykpKWEJCQn9Jk6cGCdJkgEAYmNjly5fvnx8ampqaGpqamhCQkI/rWMy+khPR8vWrfHH99/jAb0m\n85aClfn744J81puCBeblwUu+Pg3QxUEumYJu3oxHYmKwUqlBcHfHDa3BQFAQztEMkJ5YCZSp4Lff\n0MHSunoRB00bNmCY+JskwWBLw6sHpWBA1YFUXrVUcUBVBPpZszDXnsdtSLRqhfNi6j8R8SVO8TZq\nKj2kJZYswTPyMlUHewspH3+Mp6qTRrQh8vnn+Nfw4fiyrsuhFx8fXKuuCWt4OI7J66jcIoJ8man9\n79ULu/r2xXfVOS7xxBP4VC6mjBiBdYsXY3JDiqpO7+ycHHiTFZc85hPDMA2XX37BXWq/iTEiaJla\n32H5coz/4w+0VhMirInnQNYVcgsEuRBRHeydSZCpGSwKERkZGeatW7cOmDBhwjISFeLj4wfFxMSs\nBICYmJiVGzduHAIAmzZtGjxy5Mi1RqOxLCgo6FxISMjppKSkbtnZ2QH5+flNo6KiDgDAmDFjVtE2\njPWcO4cgT09c9/TE9dBQpP7xB1rbEtneGlNgR0dUfP01hlJ6MxFKMfbFF3icGjx5yjBbzY7pvCgD\nhxZDhmAjUL2ZOjl1NXvbowf2ydMaVQdSuLUC8dx/P/ZqRXBnqvJaKy2Xv7hdXVFU14E77WXJ0L8/\nttnTh9zHB9fkGSOYW4fQUKRGReFATexbbhFBMYooy8XOnegdGYnkmjg28eyz+EDNfcgWca+uO8Nk\n3XHnnTgcG4ulgG1BaxmGuTWhtJtKqMWIkDN/PmY4OaHcxQUlaq4Z9hAiCGtdM7T2wdRvLOalnjJl\nyqJ33333hevXr3vSsosXL/r5+fldBAA/P7+LFy9e9AOArKyswO7du++n9cxmc0ZmZqbJaDSWmc3m\nP313TCZTZmZmpmLalNmzZ8+m79HR0YnR0dGJtpxYQ6ZVK5zPyIAZqJrl0DNIV8KaKP2OjqhQS6FI\nQoRoqv7AA/heXKe6s7N6/JHHjsWKsWOxojrHkdO+PU4AVf7E1WkQrcVggGTPKPoGA6RNmzCYA/HU\nDEozu3UZlLFVK5y/804ctse+PDxQoBZPhml8HD+OTjXlnkUWEWS1d+QIIp57Du/LXTjqClvO29UV\nRX5+uGhvKyBvb+Tk5MBbr1h+7hyC7Hl8hmFuHUjklS8XLRCoj6vUzlGacZFp07CQLEAdHFBpTcw0\ntf60PEZEdSwjWIiwH4mJidGJiYnRNbFvTSFiy5YtD/v6+l6KjIxMViuAwWCQyGXDHohCBKOMgwMq\nKR86/bUFa4QIrcZAyZ82PBzHEhMRHR2NRKAqbZhNhfz/yGNT1BadOuF4SQlcatPPv6YYNAjxdV2G\nhoqSRQQFq6wL9u9H9+q0DQyjRk0GG3V1RdHhw7iT/t+8GY88+SQ+qanj1QYGA6Tx47G8um5vXl7I\nE10j/fxwMScH3q++iterX0qGYRoj1rhmyH/Xk+6TsofJiYjAESX3VblrRo8e2JeQAJtc+VmIsB9y\nw4A5c+a8Zq99a6pXP/300z3x8fGDgoOD00aOHLl29+7dD44ePXq1n5/fxQsXLvgDQHZ2doCvr+8l\noMrSIT09/c8BY0ZGhtlsNmeYTKbMjIwMs7jcZDJVO1UdUz2sCYio9UCrNUDNmiGXvqvlP78VsHfg\nSKbhIX9xOzujdNQorLE1s0B1CQhAdm2kg2QYeyI3083MhKkmMmbYii0WEdaaLOuFZh8tdbZnzsQ8\n8X+1VJ8MwzQOLAWrtNTOKblah4YiVamdO3oUnZX20akTjlNcN6Wy0bjC0REVtsYFkqdRZuonmkLE\n3LlzZ6Wnp7dMS0sLXrdu3YgHH3xw9+rVq0cPGjQofuXKlTEAsHLlypghQ4ZsBIBBgwbFr1u3bkRp\naalzWlpacGpqamhUVNQBf3//C56enteTkpK6SZJkWL169WjahqkbFizA8+Qvqgetzs6kSfhw9mzM\nli8XA15WxyLiVosmzzQ+lHJwGwyQOBUUw+hHHlelsBBu8pRsdYmtQoTab9aILPL9kBBhKf7S3LmY\nJWZ8stWVk2GYWxc1MdQWiwhXVxQVFMBD3OeSJXjGHoKrvYJVpqej5eOP44vqloepeXT78wBVbhgA\nMGPGjPk7duzo07Zt21O7d+9+cMaMGfMBICwsLGX48OFfhoWFpfTv339bXFzcRNomLi5u4oQJE5aF\nhoamhoSEnO7Xr1+C/U+H0cu0aVjYpg3O6F1fS4ho1w4nX3sNc+TLAwKQ/fPPuBuonhDxzjuYrjcj\nCMPUBfTypEB6bBLIMNajJNw1ZIsIa0yOTSb8xYqU9qmnrRHXUTOVZhim8aE3RoQcd3fcENs1oxFl\n1REiwsKQIv5fXSHCbEZGQ00139CwGKySeOCBB75/4IEHvgcAHx+fazt37uyttN6sWbPmzpo162++\nkF26dDl0/PjxTrYXlalLbB1Yde+O/cDNgJa2EBKC02IgTIapb9ALb/58zOjbF9/ZmiWGYRozSu5E\nAQHIrouy2AutznBYGFJ+/RUdt2/HQ1On4j357wsW4Pnnn8cCANi7F/eHh+NYZiZMgHVCBAAsWoQp\nXbviYEOId8QwjH1Qy5rxySd48sUX8XaPHtj3+ut4VWlbeXttqxBRUgIXeZ+J26nGg24hgmncVGeG\n18UFJUoBLRmmoSA3J6yO8MYwjRWl90x9EvVsnWHT6qB36IDfOnTAb0pChBiF3scH10wmZGZmwhQY\niKzwcBx7+ml8RGmrLfHcc3jflrIzDHPro+Z6oeSa4eiIioAAZJMIrBZ4e+ZMzCsthfPbb+NFwHYh\nQikOG1szNB5YiGB0UR0hgs3UmYaOfFZBjG7PMEzjRa1DHRSEc5a2JSFi9WqMBoD4eAwqKICHyYRM\nR0dUWJP5imGYxouldJl6MmDIcXVF0aOP4hsSIuwJCxGNBxYiGF1UR0yYNQtzk5MRac/yMEx9Qm4R\nkZuLZnVbIoa59Rk4EN/WdRlE7rkHP73zDqZbs41ahzotDcGWtiUhYtQorAGqUnb6+eGiNcdnGIZR\nQylGhFyI0BIFunVDEm1nz+xAPIHZeGAhgtFFdRqFl17CW/YsC8PUN8SX+csv400vL+TVdZkY5lbk\nwgX4+/vjQl2XQwk3NxS+8ALe1bv+2rUY6eWFvIMH0VXvNq++itfJJ7uiAo62lJNhGMYabLGIkCO6\nkgFAddpxjhHReGAhgtEFq5MMo45o3vjGG3ilrsvDMLcq4oy/PWfY6oIRI7AOANq0wZlXX8XrerYR\nz1nesWcYhqkJtIQIT09c17MPeXstz/Rja3mYhg0LEYwuWIhgGIZhaoMbN+AuTw93K9O2LU6J/x84\ngCi1dcVznjgRcZwximGY6iK2K0qDfIMB0uHDuBP4qxBx9ixu1xPPRonqiAkPPYTttm7L3Fqw2s7o\ngtVJhrEMPycMU33c3FAI3PoWESJiZPm77sIvauuJVhC33YYrjz+OL2qjfAzDNF5E8UH8HhyMNL39\nGnl77eGBAlvL8+CD2G3rtsytBVtEMAzD2AkWIhjGfjQkISI0FKl61mtI58wwzK2BPWJEtGuHk0BV\nbIjERET7+OCaPcrDNGzYIoKxSH3K484w9Rl+eTKM/WhIg/Ju3ZAUHY1ES+s1pHNmGKb+EhuLpfRd\n7LvY2o+hILsXLsC/XTucbNECl20tG/elGg8sRDAMwzAMU+9oSIPywEBk7dmDnpbWa0jnzDBM/YMG\n+WPHYoV8mfy7NXAsOcYWWIhgLMLKJMMwDFPbNLZBeVgYUuicFyzA83VdHoZhGgZKbak93DEYprqw\nEMFYhIUIhtEHPysMYz8amxBhMECic542DQvrujwMwzQOxL4LWzYwtQkHq2QYhmEYpt7R2IQIBwdU\nilkzGIZh7MH48VheWAg3cZmaO0Z1sl3Yg0WLMMXXF5fqsgxM7cFCBGMRnuVlGH00toETwzD2Q7SI\nYBiGsRdxcZio9bs9YkTYi+eew/t1eXymdmEhgrFIkyYorusyMMytQEUFHOu6DAzTENi3Dz1atcL5\nui5HbeLggEoWIhiGqUlIaFCLEVFdIaJ3b+yszvZM40LTBLC4uLhJt27dkiIiIo6EhYWlzJw5cx4A\nzJ49e7bZbM6IjIxMjoyMTN62bVt/2mbevHkzQ0NDU9u3b39i+/btD9HyQ4cOdenUqdPx0NDQ1MmT\nJy+uuVNi7A0LEQyjj/JyFncZxh7cey9+bNkS6XVdjtqELSIYhqkL7GURER6OY+PG4TP7lIppDGh2\nmps0aVK8Z8+enm5uboXl5eVOPXr02Ldv374eBoNBmjp16ntTp059T1w/JSUlbP369Y+lpKSEZWZm\nmnr37r0zNTU11GAwSLGxsUuXL18+Pioq6sCAAQO2JiQk9OvXr19CzZ4eU12GDMHGtm1xqq7LwTC3\nAmwRwTCMrRgMkDhGBMMwtYGa+FAdIeLoUXSubrmYxoXF2Ts3N7dCACgtLXWuqKhw9Pb2zgEASZL+\nptpv2rRp8MiRI9cajcayoKCgcyEhIaeTkpK6tW7d+o/8/PymUVFRBwBgzJgxqzZu3DiEhYj6zzff\n4NG6LgPD3CqwEMEwjK1wsEqGYWqLmhAiGMZaLAoRlZWVDnfeeefhM2fOtImNjV3aoUOH3zZs2DBs\nyZIlz6xatWpM165dDy5cuHBas2bNcrOysgK7d+++n7Y1m80ZmZmZJqPRWGY2mzNouclkyszMzDQp\nHW/27Nmz6Xt0dHRidHR0YvVOkWEYpnYICEB2XZeBYZhbk9at8Qe7ZjAMU5MoCQ32jBHBNDwSExOj\nExMTo2ti3xaFCAcHh8ojR45E5OXlefXt2/e7xMTE6NjY2KWvvvrq6wDwyiuvvDFt2rSFy5cvH2+P\nAolCBMMwzK0CDyAYhrGVK1dwm5sbCqdNw8K6LgvDMA0ftohg9CI3DJgzZ85r9tq3bhNALy+vvIED\nB3578ODBrr6+vpcMBoNkMBikCRMmLDtw4EAUUGXpkJ6e3pK2ycjIMJvN5gyTyZSZkZFhFpebTKZM\ne50EwzAMwzDMrUrz5rjq6ooiFjQZhqltRPHhgQfwfV2WhWlcaAoRV65cuS03N7cZABQVFbnu2LGj\nT2RkZPKFCxf8aZ1vvvnm0U6dOh0HgEGDBsWvW7duRGlpqXNaWlpwampqaFRU1AF/f/8Lnp6e15OS\nkrpJkmRYvXr16CFDhmys2VNjGIZhGIa5deAYEQzD1AZqVhAzZmB+3ZSIaYxoumZkZ2cHxMTErKys\nrHSorKx0GD169OpevXrtGjNmzKojR45EGAwGKTg4OO2TTz55EgDCwsJShg8f/mVYWFiKk5NTeVxc\n3ESDwSABQFxc3MSxY8euKCoqch0wYMBWDlTJMAzDMAxzE7aIYBimthFjRDBMbWKQpPrjCmQwGCSl\nbBwMwzAMwzANnQkTsGz5coxnQYJhmJqgtBTOLi4oOXoUncPDcQwAVq5EzNixWAGwGMpYxp7jdTYB\nZBiGYRiGqQewawbDMLWB6I6RkwPvuiwL03jhFx7DMAzDMEw9IDISyXVdBoZhGheXLsG3rsvANE5Y\niGAYhmEYhqkHPPMMlrBpNMMwNY1oEVFerh0zkGFqChYiGIZhGIZhGIZhGjiiAEGwEMHUFSxEMAzD\nMAzDMAzDNBJEQaKiAo51WRam8cJCBMMwDMMwDMMwTCNByTKCYWobFiIYhmEYhmEYhmEaISxKMHUF\nCxEMwzAMwzAMwzCNBFF8YCGCqStYiGAYhmEYhmEYhmngsOjA1CdYiGAYhmEYhmEYhmkksEUEUx9g\nIYJhGIZhGIZhGIZhmFqDhQiGYRiGYRiGYZhGAltBMPUBFiIYhmEYhmEYhmEaCaIQIUkw1GVZmMYL\nCxEMwzAMwzAMwzANHCVLiMpKHg8ydQNXPIZhGIZhGIZhmEYCu2Yw9QFNIaK4uLhJt27dkiIiIo6E\nhYWlzJw5cx4AXLt2zadPnz472rZte+qhhx7anpub24y2mTdv3szQ0NDU9u3bn9i+fftDtPzQoUNd\nOnXqdDw0NDR18uTJi2vulBiGYRiGYRiGYRhLsGsGU1doChFNmjQp3rNnT88jR45EHDt2LHzPnj09\n9+3b12P+/Pkz+vTps+PUqVNte/XqtWv+/PkzACAlJSVs/fr1j6WkpIQlJCT0mzhxYpwkSQYAiI2N\nXbp8+fLxqampoampqaEJCQn9auMEGYZhGIZhGIZhmCpEi4h77sFPdVkWpvFi0TXDzc2tEABKS0ud\nKyoqHL29vXPi4+MHxcTErASAmJiYlRs3bhwCAJs2bRo8cuTItUajsSwoKOhcSEjI6aSkpG7Z2dkB\n+fn5TaOiog4AwJgxY1bRNgzDMAzDMAzDMEzNouSSMWIE1tVFWRjGydIKlZWVDnfeeefhM2fOtImN\njV3aoUOH3y5evOjn5+d3EQD8/PwuXrx40Q8AsrKyArt3776ftjWbzRmZmZkmo9FYZjabM2i5yWTK\nzMzMNCkdb/bs2bPpe3R0dGJ0dHSi7afHMAzDMAzDMAzDEBwjgtFLYmJidGJiYnRN7NuiEOHg4FB5\n5MiRiLy8PK++fft+t2fPnp7i7waDQTIYDHarzKIQwTAMwzAMwzAMw9gPFiIYvYI5ytEAAA3/SURB\nVMgNA+bMmfOavfatO2uGl5dX3sCBA789dOhQFz8/v4sXLlzwB4Ds7OwAX1/fS0CVpUN6enpL2iYj\nI8NsNpszTCZTZkZGhllcbjKZMu11EgzDMAzDMAzDMIxtDB2Kr+u6DEzjQlOIuHLlym2UEaOoqMh1\nx44dfSIjI5MHDRoUv3LlyhgAWLlyZcyQIUM2AsCgQYPi161bN6K0tNQ5LS0tODU1NTQqKuqAv7//\nBU9Pz+tJSUndJEkyrF69ejRtwzAMwzAMwzAMw9QOShYRjz2G9XVRFqbxoumakZ2dHRATE7OysrLS\nobKy0mH06NGre/XqtSsyMjJ5+PDhXy5fvnx8UFDQuS+//HI4AISFhaUMHz78y7CwsBQnJ6fyuLi4\nieS2ERcXN3Hs2LErioqKXAcMGLC1X79+CbVxggzDMAzDMAzDMI0dLZcMdtdgahuDJNWfOmcwGCRK\n98kwDMMwDMMwDMPYB0mCwcEBlWlpCA4KwjlabjBA2rABw9g9g7GEPcfrumNEMAzDMAzDMAzDMLc2\nStYPbBHB1DYsRDAMwzAMwzAMwzAMU2uwEMEwDMMwDMMwDNPAIasHBwdU1nVZGIaFCIZhGIZhGIZh\nmEaCkhDBrhlMbcNCBMMwDMMwDMMwTCOBhQimPsBCBMMwDMMwDMMwTCOBhQimPsBCBMMwDMMwDMMw\nTCOBRQemPsBCBMMwDMMwDMMwTCOBLSKY+gALEQzDMAzDMAzDMI0EJSHCywt5dVEWpvHiVNcFYBiG\nYRiGYRiGYWoHR0dUiP+np6OlyYTMuioP0zhhIYJhGIZhGIZhGKaRIHfDMJuRUVdlYRov7JrBMAzD\nMAzDMAzTSFByzWCY2oaFCIZhGIZhGIZhmEYCCxFMfYCFCIZhGIZhGIZhmEYCCxFMfYCFCKZBkJiY\nGF3XZWBuTbjuMNWB6w9jK1x3mOrA9YexnUQWIph6gaYQkZ6e3rJnz557OnTo8FvHjh1//eCDD54F\ngNmzZ882m80ZkZGRyZGRkcnbtm3rT9vMmzdvZmhoaGr79u1PbN++/SFafujQoS6dOnU6Hhoamjp5\n8uTFNXdKTGOEX8iMrXDdYaoD1x/GVrjuMNWB6w9jK15eiXlOTiiv63IwjGbWDKPRWLZo0aIpERER\nRwoKCjy6dOlyqE+fPjsMBoM0derU96ZOnfqeuH5KSkrY+vXrH0tJSQnLzMw09e7de2dqamqowWCQ\nYmNjly5fvnx8VFTUgQEDBmxNSEjo169fv4SaPT2GYRiGYRiGYRgGAJ57Du+zRQRTH9C0iPD3978Q\nERFxBAA8PDwK7rjjjt8zMzNNACBJkkG+/qZNmwaPHDlyrdFoLAsKCjoXEhJyOikpqVt2dnZAfn5+\n06ioqAMAMGbMmFUbN24cUhMnxDAMwzAMwzAMwzBMPUaSJF2ftLS0oFatWv2Rn5/vMXv27Ndat259\nLjw8/OgTTzyxPCcnp5kkSZg0adKSNWvW/Iu2GT9+/LINGzYMPXjwYJfevXvvoOV79+697+GHH94s\nPwYAiT/84Q9/+MMf/vCHP/zhD3/4wx/+1L+PXv3A0kfTNYMoKCjwGDZs2IbFixdP9vDwKIiNjV36\n6quvvg4Ar7zyyhvTpk1buHz58vF69qWFkpUFwzAMwzAMwzAMwzANB4tZM8rKyoxDhw79etSoUWuG\nDBmyEQB8fX0vGQwGyWAwSBMmTFh24MCBKAAwmUyZ6enpLWnbjIwMs9lszjCZTJkZGRlmcbnJZMqs\niRNiGIZhGIZhGIZhGKb+oilESJJkGD9+/PKwsLCU55577n1anp2dHUDfv/nmm0c7dep0HAAGDRoU\nv27duhGlpaXOaWlpwampqaFRUVEH/P39L3h6el5PSkrqJkmSYfXq1aNJ1GAYhmEYhmEYhmEYpvGg\n6Zrx448/3rtmzZpR4eHhxyIjI5MBYO7cubPWrl078siRIxEGg0EKDg5O++STT54EgLCwsJThw4d/\nGRYWluLk5FQeFxc30WAwSAAQFxc3cezYsSuKiopcBwwYsJUzZjAMwzAMwzAMwzBMI8RewSYsfc6f\nP98yOjp6T1hY2G8dOnT4dfHixc9KkoSrV6/69O7de0doaOipPn36bKfAl5IkYe7cuTNDQkJS27Vr\nd+K77757qLbKyp/6+ykvL3eMiIhIpmCnXH/4o+eTk5PTbOjQoRvat2//+x133JGyf//+blx3+KP3\nM3fu3JlhYWG/dezY8fjIkSO/KC4uduH6wx+lz7hx4z719fW92LFjx+O0zJa6cvDgwS4dO3Y8HhIS\nkvrss88uruvz4k/d1Z/nn3/+3fbt2/8eHh5+9NFHH/1fbm6uF9cf/uipO/RZsGDBNIPBUHn16lUf\nWsZ1hz/iR63+fPDBB8+0b9/+9w4dOvw6ffr0t2m5vepPrZ1gdna2f3JycoQkScjPz/do27btyZSU\nlDteeOGFd95+++3pkiRh/vz5L7744ovzJUnCb7/9Fta5c+cjpaWlxrS0tKA2bdqcrqiocKjrG8Wf\nuv0sXLhw6uOPP/75I488Ei9JErj+8EfPZ8yYMSuXL1/+hCRJKCsrc8rNzfXiusMfPZ+0tLSg4ODg\ns8XFxS6SJGH48OHrV6xYEcP1hz9Kn7179953+PDhSLEzZ01dqaysNEiShLvuuutAUlJSlCRJ6N+/\n/9Zt27b1q+tz40/d1J/t27f3oTbkxRdfnM/1hz96644kVU0E9+3bNyEoKCiNhAiuO/zRU392797d\ns3fv3jtKS0uNkiTh0qVLLexdfywGq7QX/v7+FyIiIo4AgIeHR8Edd9zxe2Zmpik+Pn5QTEzMSgCI\niYlZuXHjxiEAsGnTpsEjR45cazQay4KCgs6FhIScpqCYTOMkIyPDvHXr1gETJkxYJv3/DCtcfxhL\n5OXlef3www/3PfHEE58CgJOTU7mXl1ce1x1GD56enteNRmNZYWGhW3l5uVNhYaFbYGBgFtcfRon7\n7rvvB29v7xxxmTV1JSkpqVt2dnZAfn5+06ioqAMAMGbMmFW0DdOwUao/ffr02eHg4FAJAN26dUui\n4O9cfxgRpboDAFOnTn3vnXfemS4u47rDyFGqP0uXLo2dOXPmPKPRWAYALVq0uAzYt/7UmhAhcu7c\nuaDk5OTIbt26JV28eNHPz8/vIgD4+fldvHjxoh8AZGVlBZrN5gzaxmw2Z2RmZprqorxM/WDKlCmL\n3n333RfohQwAXH8YS6SlpQW3aNHi8rhx4z678847D//73//+vxs3brhz3WH04OPjc23atGkLW7Vq\ndT4wMDCrWbNmuX369NnB9YfRi7V1Rb7cZDJlch1iAODTTz99YsCAAVsBrj+MZTZt2jTYbDZnhIeH\nHxOXc91h9JCamhq6d+/e+7t3774/Ojo68eDBg10B+9afWhciCgoKPIYOHfr14sWLJzdt2jRf/I1S\ngqptq/Ub07DZsmXLw76+vpciIyOTyRpCDtcfRony8nKnw4cP3zlx4sS4w4cP3+nu7n5j/vz5M8R1\nuO4wapw5c6bN+++//9y5c+eCsrKyAgsKCjzWrFkzSlyH6w+jF0t1hWHUeOutt15ydnYuffzxx7+o\n67Iw9Z/CwkK3uXPnzpozZ85rtEyt/8z8v/buIKTNOw7j+D9igrsIm2JeyRvZS1yVqCSoYZ0MNmJh\nZWAmUSQyY7d58iB46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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vp = 1000000/dt\n", "\n", "plt.figure(figsize=(18,3))\n", "plt.plot(z,vp)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "ttz = 2*np.cumsum( 0.1524*np.nan_to_num(dt)/1000000.0 )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate acoustic impedance and reflection coefficients." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "imp = (1000000/dt)*rhob" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "rc = (imp[:-1] - imp[1:]) / (imp[1:] + imp[:-1])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def ricker(f, length=0.512, dt=0.001):\n", " t = np.linspace(-length/2, (length-dt)/2, length/dt)\n", " y = (1.-2.*(np.pi**2)*(f**2)*(t**2))*np.exp(-(np.pi**2)*(f**2)*(t**2))\n", " return t, y" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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pnsEtZdiLXxyuL69fP3q5dvS4d+yArVvhlFPSH1dSPINbyrg0w+XtCO6HHgoz26utry2p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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t, w = ricker (f=15, length=1.024, dt=0.001)\n", "\n", "plt.figure(figsize=(8,3))\n", "plt.plot(t,w)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "from scipy.signal import convolve" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "-c:6: RuntimeWarning: invalid value encountered in greater\n" ] }, { "data": { "image/png": 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SMjGupxJwmAAOHNCRL1AZO016TnEZ69YFx2ybPT2zAAO/f8lhn9vWNg2oo6xsfEeQV63a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\njSw3PV92AQe7IRWARKeXLDGe26270zoB8ps7d7bf53pIRUWFVPrcHNt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7cBARtXTmrFVz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\nREREREREREStwP8HTiOldDDFxlIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "synth = convolve(rc, w)\n", "synth = synth[len(w)/2:-len(w)/2]\n", "\n", "plt.figure(figsize=[18,3])\n", "plt.plot(ttz[:-2], synth)\n", "plt.fill_between(ttz[:-2], synth, 0, synth > 0.0)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Velocity averages" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to remove the NaNs, at least above and below the real data. There are three easy-ish ways:\n", "\n", "- Set them all to zero with, say, np.nan_to_num; for some reason I've had no luck with this. \n", "- Chop off the start and end completely.\n", "- Extrapolate up and down from the first and last real samples.\n", "\n", "First, we'll try the second option... We only have data in a the middle of the log, so top and tail." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "def top_and_tail(a, b=np.array([]), c=np.array([])):\n", " nans = np.where(~np.isnan(a))[0]\n", " first, last = nans[0], nans[-1]\n", " a = a[first:last]\n", " if b.any():\n", " b = b[first:last]\n", " if c.any():\n", " c = c[first:last]\n", " return a, b, c\n", " return a, b\n", " return a" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4031.43714687 4031.43714687 4031.43714687 4031.43714687 4031.43714687\n", " 4031.43714687 4031.43714687 4031.43714687 4031.43714687 4031.43714687]\n" ] } ], "source": [ "vp_tnt, z_tnt = top_and_tail(vp,z)\n", "\n", "print vp_tnt[:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The other approach is the third option... extrapolate up and down from the first and last real samples:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "def extrapolate(a):\n", " nans = np.where(~np.isnan(a))[0]\n", " first, last = nans[0], nans[-1]\n", " a[:first] = a[first]\n", " a[last + 1:] = a[last]\n", " return a" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 4031.43714687 4031.43714687 4031.43714687 4031.43714687 4031.43714687\n", " 4031.43714687 4031.43714687 4031.43714687 4031.43714687 4031.43714687]\n" ] } ], "source": [ "z_ext = extrapolate(z)\n", "vp_ext = extrapolate(vp)\n", "\n", "print vp_ext[:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Average velocity" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's look at the equations from Liner's book, *Elements of 3D Seismology*, PennWell, 2004. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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kIwcddNB3fdd3LRH4ckHB8LnPfe4XfuEX0r4HPehB97vf/ZYLfwLapz71qbe/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\ncgR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+P/uzPxuktylvm0IJRuifKb8NYvpFBILbFdGY6mO8SrwGGr3nnnvuk5/85Kc//emk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\nBMiZmFX5puaAIL3G6lvr3cRxzI4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"text/plain": [ "" ] }, "execution_count": 18, "metadata": { "image/png": { "width": 600 } }, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import Image \n", "Image(filename='Velocity_averages.png', width=600)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the Backus average, we need the top and tailed density log, as well as Vp and Z. I have to send it to the function first, because it has the most NaNs. " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2473.0388 2473.0388 2468.1777 2450.3057 2439.1687 2423.0925\n", " 2429.2039 2430.6018 2433.05 2420.6985]\n" ] } ], "source": [ "rho_tnt, vp_tnt, z_tnt = top_and_tail(rhob, vp, z)\n", "print rho_tnt[:10]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate average velocity, RMS velocity, and the Backus average:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "avg = np.cumsum(z_tnt) / np.cumsum(z_tnt/vp_tnt)\n", "rms = np.sqrt(np.cumsum(z_tnt*vp_tnt) / np.cumsum(z_tnt/vp_tnt))\n", "bks = np.sqrt(np.cumsum(np.square(z_tnt)) / (np.cumsum(z_tnt*rho_tnt) * np.cumsum(z_tnt/(rho_tnt*np.square(vp_tnt)))))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot it:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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YtMmVLGqaye9+J1wmZD87UW1KPbkpnT57zud+40aRU1IztZjiXgf7Jo0ajNRT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[15,3])\n", "plt.plot(z_tnt, vp_tnt, alpha=0.5) # This line buggers up the scale\n", "plt.plot(z_tnt, rms)\n", "plt.plot(z_tnt, avg)\n", "#plt.plot(z_tnt, bks) # Something wrong with this curve\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Something is clearly not right with the Backus average. I can't seem to figure it out... pretty sure that what I'm doing matches Liner's equation. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Moving average" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need a moving average for the Backus calculations." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "def moving_average(a, length, mode='valid'):\n", " \n", " pad = np.floor(length/2)\n", " \n", " if mode == 'full': \n", " pad *= 2\n", " \n", " # Make a padded version, paddding with first and last values\n", " r = np.empty(a.shape[0] + 2*pad)\n", " r[:pad] = a[0]\n", " r[pad:-pad] = a\n", " r[-pad:] = a[-1]\n", " \n", " # Cumsum with shifting trick\n", " s = np.cumsum(r, dtype=float)\n", " s[length:] = s[length:] - s[:-length]\n", " out = s[length-1:]/length\n", " \n", " # Decide what to return\n", " if mode == 'same':\n", " if out.shape[0] != a.shape[0]: \n", " # If size doesn't match, then interpolate.\n", " out = (out[:-1,...] + out[1:,...]) / 2\n", " return out\n", " elif mode == 'valid':\n", " return out[pad:-pad]\n", " else: # mode=='full' and we used a double pad\n", " return out" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[5 9 9 9 9 9 5 2 6 5 2 2 2 1 1 1 2 3 6 9 9 8 5 2]\n", "25 24\n" ] } ], "source": [ "test = np.array([1,9,9,9,9,9,9,2,3,9,2,2,3,1,1,1,1,3,4,9,9,9,8,3,1])\n", "\n", "between = (test[:-1] + test[1:]) / 2\n", "\n", "print between\n", "print test.size, between.size" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "in 25\n", "[1 9 9 9 9 9 9 2 3 9 2 2 3 1 1 1 1 3 4 9 9 9 8 3 1]\n", "out 25\n", "[ 4.42857143 5.57142857 6.71428571 7.85714286 8. 7.14285714\n", " 7.14285714 6.14285714 5.14285714 4.28571429 3.14285714 3.\n", " 2.71428571 1.57142857 1.71428571 2. 2.85714286 4.\n", " 5.14285714 6.14285714 6.42857143 6.14285714 5.71428571 4.57142857\n", " 3.42857143]\n" ] } ], "source": [ "test = np.array([1,9,9,9,9,9,9,2,3,9,2,2,3,1,1,1,1,3,4,9,9,9,8,3,1])\n", "print 'in', len(test)\n", "print test\n", "\n", "avg_r = moving_average(test, 7, mode='same')\n", "print 'out', len(avg_r)\n", "print avg_r" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Try the convolution method too, for comparison." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "out 25\n", "[ 3.8 5.6 7.4 9. 9. 7.6 6.4 6.4 5. 3.6 3.8 3.4 1.8 1.6 1.4\n", " 1.4 2. 3.6 5.2 6.8 7.8 7.6 6. 4.2 2.4]\n" ] } ], "source": [ "def moving_avg_conv(a, length):\n", " boxcar = np.ones(length)/length\n", " return np.convolve(a, boxcar, mode=\"same\")\n", "\n", "avg_c = moving_avg_conv(test, 5)\n", "print 'out', len(avg_c)\n", "print avg_c" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "out 25\n", "[ 3.8 5.6 7.4 9. 9. 7.6 6.4 6.4 5. 3.6 3.8 3.4 1.8 1.6 1.4\n", " 1.4 2. 3.6 5.2 6.8 7.8 7.6 6. 4.2 2.4]\n" ] } ], "source": [ "import scipy.signal\n", "def moving_avg_fft(a, length):\n", " boxcar = np.ones(length)/length\n", " return scipy.signal.fftconvolve(a, boxcar, mode=\"same\")\n", "\n", "avg_f = moving_avg_fft(np.array(test), 5)\n", "print 'out', len(avg_f)\n", "print avg_f" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10000 loops, best of 3: 74.3 µs per loop\n", "10000 loops, best of 3: 183 µs per loop\n", "1000 loops, best of 3: 418 µs per loop\n" ] } ], "source": [ "%timeit moving_average(vp_tnt, 32)\n", "%timeit moving_avg_conv(vp_tnt, 32)\n", "%timeit moving_avg_fft(vp_tnt, 32)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10000 loops, best of 3: 80.8 µs per loop\n", "10000 loops, best of 3: 183 µs per loop\n", "1000 loops, best of 3: 416 µs per loop\n" ] } ], "source": [ "%timeit moving_average(vp_tnt, 33)\n", "%timeit moving_avg_conv(vp_tnt, 33)\n", "%timeit moving_avg_fft(vp_tnt, 33)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The convolutional method is slower, and it is more sensitive to the number of points in the filter. Clearly `fftconvolve` is way too slow, although it does not change with the window length.\n", "\n", "The cumsum method scales better, and is generally faster for bigger datasets." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Backus for realz" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From Liner's article in the June 2014 edition of *The Leading Edge*. See also [his blog post on the subject](http://seismosblog.blogspot.com/2014/06/backus-averaging-and-q.html), which includes some comments from Sven Treitel on the subject of negative *Q*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check the depth interval..." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 0.1524, 0.1524, 0.1524, 0.1524, 0.1524, 0.1524, 0.1524,\n", " 0.1524, 0.1524, 0.1524, 0.1524, 0.1524, 0.1524, 0.1524])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.diff(z_tnt[0:15])" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "lb = 46 # Backus averaging length in metres\n", "dz = 0.1524" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll have to fake a Vs curve, using Castagna's equation (aka ARCO mudrock line)..." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "vs_tnt = (vp_tnt - 1360)/1.16" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute Lame's first parameter lambda, and the shear modulus mu. (Watch out for Liner's paper in *TLE* because he uses 'lambda' for the elastic modulus and for wavelength.)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "lam = rho_tnt * (np.power(vp_tnt, 2.0) - 2 * np.power(vs_tnt, 2.0)) # Elastic lambda\n", "mu = rho_tnt * np.power(vs_tnt, 2.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the layer parameters from Liner (2014) equation 2:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "a = c = rho_tnt * np.power(vp_tnt, 2.0) # Acoustic impedance, same as lambda + 2*mu\n", "\n", "# We don't seem to actually need these other parameters (or c, above, for that matter)\n", "f = lam # Remember not to use f for frequency!\n", "l = m = mu # Note that these double indentities result in only one object" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the Backus parameters from Liner (2014) equation 4:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "A1 = 4 * moving_average(mu*(lam+mu)/a, lb/dz, mode='same')\n", "A = A1 + np.power(moving_average(lam/a, lb/dz, mode='same'), 2.0) / moving_average(1.0/a, lb/dz, mode='same')\n", "C = 1.0 / moving_average(1.0/a, lb/dz, mode='same')\n", "F = moving_average(lam/a, lb/dz, mode='same') / moving_average(1.0/a, lb/dz, mode='same')\n", "L = 1.0 / moving_average(1.0/mu, lb/dz, mode='same')\n", "M = moving_average(mu, lb/dz, mode='same')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute the vertical velocities from Liner (2014) equation 5:" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [], "source": [ "R = moving_average(rho_tnt, lb/dz, mode='same')\n", "vp0 = np.sqrt(C / R)\n", "vs0 = np.sqrt(L / R)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can try again to show the Backus average velocity:" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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iJpJ89ZVwmZD9bGW1KaHkptT77Omf+337RE5JRfWimnsdnJuEazASSllawUj7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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[15,3])\n", "plt.plot(z_tnt, vp_tnt, alpha=0.5)\n", "plt.plot(z_tnt, rms)\n", "plt.plot(z_tnt, avg)\n", "plt.plot(z_tnt, vp0, 'k', lw=2)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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7R/4hswKiG5Xzdd11Er7T3r54/0Ox3D2mS4UywJThP1sRnVJQjAcvGJT7xT1X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\nB7feKr3yQ4fKKN6VV/r2+KdO9Uxw0J5LLpH/yZsAz/GzdF3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X9fX+afgnJkog55jSmJkp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LAAAK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\nlFJKqR73/wF4ZU6IeV2wJAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[15,3])\n", "plt.plot(z_tnt, vp_tnt, alpha=0.5, label='Vp')\n", "plt.plot(z_tnt, rms, label='Vrms')\n", "plt.plot(z_tnt, avg, label='Vavg')\n", "plt.plot(z_tnt, vp0, 'k', lw=2, label='Vbackus')\n", "plt.xlim((600,800))\n", "plt.legend(loc='best')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute *Q*p and *Q*s from Liner (2014) equation 10:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "ptemp = np.pi * np.log(vp0 / vp_tnt) / (np.log(vp0 / vp_tnt) + np.log(lb/dz))\n", "Qp = 1.0 / np.tan(ptemp)\n", " \n", "stemp = np.pi * np.log(vs0 / vs_tnt) / (np.log(vs0 / vs_tnt) + np.log(lb/dz))\n", "Qs = 1.0 / np.tan(stemp)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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fca3GUUG/Av1s+3HY4zAzOpTcyN0etz2oVCq+7fVtrjVxO1t3Jj4tHo9ojyL5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E7P24ek2C4FXiPoOxB8Muo4JA1Oz360H8ciaSDmAy8DBwmW1fw3cC7DFBONVGC3lyAHuzZ6vpSg\nGsyzxN7k/BmCKf4Mgk+ApgO/HaG2SqNRvD40tcs9VxJUWAL7kBTPCjrTxyDoK45D0uD07Eendjl2\nLJLie5egqnkWwbrUpQSVzlMuJvoCwWzDGwTRaYT4m5wD3E2wQPBd4OIRbak0OvXsQ/nAw8Cm6LWn\n6MzJBvuQ1FMO8DGQ2+Wa45A0OLH6kWORNHDfonO7g4cIKl46FkmSJEmSJEmSJEmSJEmSJEmSJEmS\nJEmSJEmSJEmSJEmSJEmSJEmSJEmSBu3/AbesHRJZQtQtAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[15,3])\n", "plt.plot(z_tnt, 1/Qp, label='Qp')\n", "plt.plot(z_tnt, 1/Qs, label='Qs')\n", "plt.xlim((600,800))\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Reproduce Figure 3" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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PykeTyURkZCQlJSWEhobWS5y3hnbRXOTk5LBkyRJuu+02O99bWzeXywXRLlouOp3OJeJc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ioyOljWUthhFcs/jECf1+RV1TuR3MRtbiuu6UzpidQDvnVsMHv3J5bqU7TROv6pDf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\nKZerGlOlFLGYi21rx72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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[12,8])\n", "\n", "plt.subplot(211)\n", "plt.plot(z_tnt, vp_tnt, 'k', lw=0.5)\n", "plt.plot(z_tnt, vp0, 'r', lw=2)\n", "plt.xlim(900,1400) # Can also do as tuple or as kwargs\n", "plt.grid()\n", "plt.ylabel('Velocity (m/s)')\n", "plt.xlabel('Depth (m)')\n", "\n", "plt.subplot(212)\n", "plt.plot(z_tnt, 1/Qp, lw=0.5)\n", "plt.xlim(900,1400)\n", "plt.ylim((-0.15, 0.15))\n", "plt.fill_between(z_tnt, 1/Qp, alpha=0.3)\n", "plt.grid()\n", "plt.ylabel('1/Qp')\n", "plt.xlabel('Depth (m)')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute Thomsen parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now from Line & Fei1 (2006) we can compute the Thomsen parameters. \n", "\n", "Liner, C, and T Fei1 (2006). Layer-induced seismic anisotropy from full-wave sonic logs:\n", "Theory, application, and validation. *Geophysics* **71** (6), p D183–D190. [DOI:10.1190/1.2356997](http://dx.doi.org/10.1190/1.2356997)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "$$\\epsilon = \\frac{A-C}{2C}$$\n", "\n", "$$\\delta = \\frac{(F+L)^2 - (C-L)^2}{2C(C-L)}$$\n", "\n", "$$\\gamma = \\frac{M-L}{2L}$$" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [], "source": [ "epsilon = (A - C) / (2.0 * C)\n", "delta = ((F + L)**2.0 - (C - L)**2.0) / (2.0 * C * (C - L))\n", "gamma = (M - L) / (2.0 * L)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can reproduce Liner & Feil's figure 1:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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ElLLyW/RvjPlVtrbfHXo3edo8Ph/2Oa2CWpVSUuAohAXcPpxhAR8GXAMOA/2K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m8AKQU4XvOe+882jZsqVzsiOA9PR0/vjjj2rFGx8fz4kTJ2rUIx4MpAdcuFNhIUydCh9+CB98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xoY7xsjvSSdYSuH8a9R/2J2X3v+ihAIrh5bz4B3A24H1FX7ajTIq+0FgtpERkKHDpCairRt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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[12,15])\n", "\n", "plt.subplot(221)\n", "plt.plot(vp_tnt, z_tnt, 'k', lw=0.7)\n", "plt.plot(vp0, z_tnt, 'r', lw=2)\n", "plt.plot(vs_tnt, z_tnt, 'k', lw=0.3)\n", "plt.plot(vs0, z_tnt, 'r', lw=2)\n", "plt.gca().invert_yaxis()\n", "plt.grid()\n", "plt.ylabel('Velocity (m/s)')\n", "plt.xlabel('Depth (m)')\n", "\n", "plt.subplot(222)\n", "plt.plot(epsilon, z_tnt, 'r', label='$\\epsilon$')\n", "plt.plot(delta, z_tnt, 'b', label='$\\delta$')\n", "plt.plot(gamma, z_tnt, 'g', label='$\\gamma$')\n", "plt.gca().invert_yaxis()\n", "plt.grid()\n", "plt.ylabel('1/Qp')\n", "plt.xlabel('Depth (m)')\n", "plt.legend(loc='best')\n", "\n", "plt.subplot(223)\n", "plt.plot(vp_tnt, z_tnt, 'k', lw=0.7)\n", "plt.plot(vp0, z_tnt, 'r', lw=2)\n", "plt.plot(vs_tnt, z_tnt, 'k', lw=0.3)\n", "plt.plot(vs0, z_tnt, 'r', lw=2)\n", "plt.gca().invert_yaxis()\n", "plt.ylim(1200,900) \n", "plt.grid()\n", "plt.ylabel('Velocity (m/s)')\n", "plt.xlabel('Depth (m)')\n", "\n", "plt.subplot(224)\n", "plt.plot(epsilon, z_tnt, 'r')\n", "plt.plot(delta, z_tnt, 'b')\n", "plt.plot(gamma, z_tnt, 'g')\n", "plt.gca().invert_yaxis()\n", "plt.ylim(1200,900)\n", "plt.grid()\n", "plt.ylabel('1/Qp')\n", "plt.xlabel('Depth (m)')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I think the funky $\\delta$ values are a result of the modeled $V_\\mathrm{S}$ curve." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thomsen RGB?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute dispersion" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Kjartansson (1979) --- *Journal of Geophysical Research*, **84** (B9), 4737-4748. [DOI: 10.1029/JB084iB09p04737](http://dx.doi.org/10.1029/JB084iB09p04737) --- demonstrated a constant-*Q* theory. This is how we computed *Q* in the last section, using a rearranged version of this equation:\n", "\n", "$$V(f) = V_0 \\left( \\frac{f}{f_0} \\right)^\\gamma$$\n", "\n", "or\n", "\n", "$$V(f) = V_0 \\left( \\frac{f}{V_0/\\lambda_0} \\right)^\\gamma$$\n", "\n", "where\n", "\n", "$$\\gamma = \\frac{1}{\\pi} \\tan^{-1} \\left( \\frac{1}{Q} \\right)$$\n", "\n", "So now that we know *Q*, given that it's constant (for each layer, i.e. for each log sample), we can use it to compute any velocity *V*." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7815,)" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "gamma = np.arctan(1/Qp) / np.pi\n", "gamma.shape" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 1.00000000e+00, 1.20679264e+00, 1.45634848e+00,\n", " 1.75751062e+00, 2.12095089e+00, 2.55954792e+00,\n", " 3.08884360e+00, 3.72759372e+00, 4.49843267e+00,\n", " 5.42867544e+00, 6.55128557e+00, 7.90604321e+00,\n", " 9.54095476e+00, 1.15139540e+01, 1.38949549e+01,\n", " 1.67683294e+01, 2.02358965e+01, 2.44205309e+01,\n", " 2.94705170e+01, 3.55648031e+01, 4.29193426e+01,\n", " 5.17947468e+01, 6.25055193e+01, 7.54312006e+01,\n", " 9.10298178e+01, 1.09854114e+02, 1.32571137e+02,\n", " 1.59985872e+02, 1.93069773e+02, 2.32995181e+02,\n", " 2.81176870e+02, 3.39322177e+02, 4.09491506e+02,\n", " 4.94171336e+02, 5.96362332e+02, 7.19685673e+02,\n", " 8.68511374e+02, 1.04811313e+03, 1.26485522e+03,\n", " 1.52641797e+03, 1.84206997e+03, 2.22299648e+03,\n", " 2.68269580e+03, 3.23745754e+03, 3.90693994e+03,\n", " 4.71486636e+03, 5.68986603e+03, 6.86648845e+03,\n", " 8.28642773e+03, 1.00000000e+04])" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#freqs = np.linspace(5, 250)\n", "#freqs.shape\n", "\n", "freqs = np.logspace(0,4)\n", "freqs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make repeat versions of the log-likes, across all freqs, so we end up with something we can `plt.imshow()`. " ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "v_freqs = np.reshape(np.repeat(vp0, freqs.size),(vp0.size, freqs.size))\n", "gamma_repeat = np.reshape(np.repeat(gamma, freqs.size),(gamma.size, freqs.size))" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "v_disp = v_freqs * (freqs/(v_freqs/lb)) ** gamma_repeat" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZHN23sPmpbO/hrhq8MIn59YVbaooyNXHBEulzktDNzMykfraOwQaZ3GhxkUlI\n5Ks3gyQI/ZYIiwJnATyE5n8AAOAAgM8BeBzACQD7GCUamJABigELkkRHogEa6wAy1awskbbs9ciS\nR5w1IqbNg63CljYyZC2STHLMgrpsApRjWsCibBslAKsI462d9K0aoF8DgL05aDotwGkVnzS9TDvt\nepTkpF55DqzYYe2NNXd2/padkUTE0CuSlP00W724WNofnZPMPc1GrX9EPiKx9oexhd2XzLnMEqny\nupUX2LMTSSZHRTZruqPzZunN5uuseGfDGzs6G1Yfq32EYSxd0TVLMjmO1Z0lHUyuZAsOHg6LMFlm\nn7MxqO+zKZ9HcYO9V0OEs+MCPJ5jcnskUT7P2JmRctzyHfq2iN7ab8U/D//UkHCLN2Q4kWUney0z\nzo0k5P/Qb5mwhP5X0Xy+v93BD6Ah9D8K4C/w0q/kf5FoAbp8HhEoSyzgXb5mJJOctHtacNFAjwYa\nrLGj4GAlRot4MACjDFKaeCSRBbqaPs0Otq3VpiYBWkGZJfVe+3Jcq20fZFFKBH60a5bPavc9+5jE\nxoBGD4Blxsyc6Uii+TOxQvb1gI0WL2ScyBAYq11mHTKAuAZQsUBNi4nZ88/Gs4g4WePI/dPiTJQL\nLFsnLTJ/t3lC5jjvTLDxu0+C1YfPWXHREybOeTmlhhRpYvmcJRbm8PS3OZPpK89DbQFJ7kO28MCO\n2ad4dtSS3Vp/sHRl9/9GkCh+y3XRfraOeYfew9za60xuKftOKs9K+25WWV9ff8nfdhKG0B8D8E4A\nHwXQ7ua7AHx89PzjAN5jdY4Ad3S9vRc5a1+O5gEuzSZGh9WGAenaWGW/rsksspUBZCzIjYJerV7v\nfoYwy/bRmsh2TFEj8mOr+CXHi/y9BshYBQ3LB1hwW0P+tfbWusjEW7axiG60zl3iSddYVOOnHpnX\nCK+mL9orFjB4vh+RFkYypKGvc1Jb9PDGitY8W3iotcMrmFnjW2emlpxoY2i2anrK82+taS2ZlPZk\npXa/mHOSsYstdpW62/NaKxkcENnBttXGYXEHc96yEunM4pOaMb259hFPJi1d14Ut/kQ65Hkor5Xv\n3NfYJSUzZwu3dR0vKm5m7bwR5EZ4h/73APw6gNLywwCeHT1/dvSaG7D4H/r2UQPjEeCPDqkFwGqT\nDEO0ZLvINi1hW+vhzYMBPXKMaExPovYZkJwNCLUELTNmhrhY+1e20Z7XimebB2I10UCj9LUMoCz1\nySRT2m3zfWs2AAAgAElEQVTd1+yTz8t+ciwmmZWkMpqPNjazptJOa05ZcOH5mrUXlh5t3z3fZaTG\n/6xrcs3lPDcTeE5yT0sdcl/YPFJKJo5H9kSSzRtdxmLbe7iitphk5eMam7RHbe8jPV1jR61k/ELr\n45FNK5/K51YxqVYy8V32Ya9rwu6nxDZZ/8vYshl9vUKL175G+oiFZSyxvhTPyg2RHRoWj/zQyg8e\nZstge0tvVteNKAlC/ySAf0Dzr+oPFNd/BcA3AHwdwG8V1z8I4AkAjwH4+eL6PQAeHt37cGRf9KV4\nvwDguZFRP2O0GY7+VHnggQfGTnLnnXe6ILRG+qwQsaSwFC+4evNsA0CUxNrXWoKMDr02HyuhekUD\njaSVtkVJ2ZpbNG/NzqywJEMSQytAa+voEUG5Pm37PsiPNX6NH1v2aQSjnFPGrkwbD/hZ17OxJSoG\n9J24St+S9kq7rNelvTWxNEM8LPsZXdH4WVDXjh8BJzmWtuaW7vK5dT779Im+CHEkXuFEXovOneZ7\n5T12TGbf2b2W50mLudqYWn7TZDPJTmsP66fRGDUE03pd2pUlDV6hLtorpqCi9e/LH7O52osdURzJ\nYKmof/b+diZqfeD82vmV/dqP3Jf3Mph3Emus+RRbeMuINo9Tp07h5MmT9JjXuyQ+Yj9Ew5nPFtd+\nFs2n218PYBXAodH11wB47+jxKIDPo/kt+iGAj6D5mbsH0Pxs3Tvg/HRdROh/amTAOwEsAtgD4A/R\nvCt/G5ofvj+ChvSr8qY3vQkzMzMYDoeYnZ3FuXPnAMRV1uiAeISKCWpacmeSZUTSpS7LNg88aH9S\nl0VENHCiETJrTlGSi4Cc1q8PwOGRIAuQacAoAq1yrb3Ea/XTSLB8HunsSpxKuzxf1ICVRty0dYtA\nSURYov6ZPbXAknWGtP0r27EkyLNdinZuvPGkXmt+mm7Pfs9G6zs0suRTiznsXC3R5mrtpzeG1846\nI+XYGSAUkURp/2YDbiuPWbZofmDlK6nPkky+sPqU/Txf9Uip5hc1YNwjoFEujPCBN6amz9NlrXsU\nS/okv138Xe5jtN/aeH2SENaPa4oT3r1MXmLsY/qyPhWNp+VzT7Lx17MhmkOJsds/72fruhDkqB1z\nFtrvNYn2ILve8nWp/+jRozhy5MjYDx988EFa9/UoyY/Yy4X+bwD8KzRkHgBOjx7fDeCTo+tPAvgW\ngDcD+C6A3fjhO/yfQPPv7Sahjz5y/xsA7gBwHMD7APwlgPcD+CyAe0dt7gXwmUDPWPp0ei+Jyefe\ntfKelxys8TXy017XwIVHWLxxLFu910xC9UifbMtIhsSWEgUbGfyzBIEFlhYJjBK0147xC0tvjbRj\nyX9xicQi85kxS13ea1ZKX7Z8i016tbbWAD/GDzRhY4JFrrJiFXKkvZp+FiB3JaMeGPTWkfXByL5M\nXsjIJGMA4IPWGt0RmWfs8WzqQl6suF32Z/RYesvXNf3kPVa881fTNxNf+rRLFiyY4oW2p5ptXdYl\nc6+L9BE7usb6PiV7hvoWFqtq8apW5P/KtwSX5Rra2H3EeGteXfylSxHoRpXER+6HaN5p/zsA/3x0\n7W4A/xTAlwH8NYD/YHT9dgAni74n0bxTL6+fGl03Jfs79O0O/yaAT6H5KMCTAH4p7BgAIhbUaMk6\nSlTa/QjQeOQsAuJRxdh7rgEkmcxkBVGbiwXErYq11G0JQ7pLu+T4LFHy5hMRJUaX1r9tG62DRi6j\nvY5syt5n2tRW7qVuSagzhQtNlzWe1076vDWedWY8W2Us8caWNms6vTZdEqK2/tpzzQ4LQJc6Ix2a\nPaVo50zuR41PevsbSRSro2uavswasbpkTOmbVDB7aeUm7ZpFqrQ5lf1r/d8rAmjikfm+QCk7dlTw\nkPFVXtf0MjmKiafSRm8eXv+yvRWftb7Mvmox3ROJi+SZ0vBJJKzPsDFEPmcxJWtPdH5ZfRa29PaE\n2V+pLxvvNCKtrVXmrEfYZDDw/4de9pHPJ0mQS3vY9czkZG2smn273mV9fR0PPvgg80mEnwbwNJqP\n1X8Ozf/GzwHYD+A/BPAmNBz6ZX3alyH0Xxj9Ac3/Bbyd6eSR3DIYsEE2m2SiNtKpPTJS9omSc6TD\nI6dZQBDZEYm2J5ouL+FHCYklqBp4L/WwYtmsjVn2sQiSpl/T0UX6DI7MulsJhiXg8r4HQC3Jrp0F\nFiw9LKHL2sECGU8vC4JqiCbTzwL1VqJnChgZ+yLJguNaAmmRmbK/FtdrxMqDNfEt8vmMTtbnSh8p\n16hPwtNFT2lLxqY+iX40NkPe+rSlZs0za9elSMPiBul3NbZ6dmxGHym1Z8Y6b11zWiR96ytlksTQ\n8x2rYFL2LZ9rP1unYW0Zg9m1K3NBTf5m+nljs+26jnW9ysbGBt74xjfijW984/jaRz/6Ua3p06PH\n0wD+GMBPonm3/f8eXf8Kmi+aP4jmnfc7ir7HRm1PjZ6X10959rG/Q9+LRKSwfZ0lYYwwxFnqY8m2\nN140F40EyeCjBSEPhERkPlukYPrL8b3rUaWYKSpYaxLZpLWrAdPlo9wzCdDlfln/pyx11tgmpWZP\nLVJfAxg8P874kUWoomKTlsjL/dDOe6aYo0l09muIYQQ4GF3WGbGKaLXincVMobG0rRVpo3ZOPJDF\nFD1qyFiN9LXelu5WMvEuW6DR9qLUI89apkBYY5O0T5OsD3bdo6jIUDvnGrus3FTq02ztGvOkDtYH\nPTKmjR/pjB41nRHGs/rXCLtGVh8pGR+xzvJ2kb7Oc8247V/5EevymvbR65ozXLPuZVHV81WWz7T6\nJK5izuGNLuRH7nei+d93ANiF5lvrH0bzr+lvG13/UQALAM6g+Rf2941eH0fz0fwH0HxH3QU0/08/\nQPPv7u6/t2c/cl8lHmi2nCxzGCwg4RFDLamV43rB3DqEUrdFJspHTbdHTiLREoIHvKKxS13aAY8I\ngmdnTSBmSaTV3iL02lrV2F+uiVwvjzhZuiKpPSfWHGQgL+9H++oVOjy7tXNn6bX2jk0yFnFggCiz\n1jKOeGN7JEa7rq2RFk+js8XEnloybI3VBfxmz0UU67T9ZAlB7TowtrLx0BufzZ1Wf2ZsLZ+wOaoL\nYY/0lrFL2hPFZNlGSg3ZqSGhLDmT+2xhDCZ2ZdafjbWsX9fkfzYv1pwFOZa2xl39NeNLWn622kVY\nlfEtmU+2k3Qhv13mUq6J5Q+RTzA8opRsnOxzv2pw6M0i5JfiHUbzrjzQcOw/AnACwDyAP0BD7q8B\n+M9HbR5F8/H7RwGsAbgPGP97+30APgZgCc233JtfiNcOtqnSx8GypGugjQKnlegjgqwlN0mavD4W\nEWMIeCQ1erKEmbFB6vfIjLU3ERCL7NKSYha8aK+jANl3UUMWKLL9WTAWgQsNJGR0RGCb8cu+4g1D\ncD3JgmaW2HlFk6wNDAHJnG95nrruhbanXcFGpijBjheRq7aNRzqlrs0AVdmCAnO+vfNqXc/meavQ\n5cUW7ZqXxz27IpJrxT0LAzC21GAdz88Ym6VEuCXqy5BuLcZZ42QJfLaQVSu1uDQ6jzU2acW/PmNL\nFivUSrTXVsxm7bBiifaleNbv0EfYOmuH1K21ZfFrhMU0Pe1fH8Wy61XIn637RwBvUK6vonmXXZMP\njf6kPAjgdZRx2KSP3MvquEZY5Z8GBrWAnjk0GXDhka4MAY7AjkUU5Fyt/hrILosGGvixDn1ENFlg\nmwH8XuC1go5FOD17rTEt/d76W2sr5yBt0IoS0Zqz97S2UbLW1s36VnwWdEud2jwtAO6J/KibHNMa\nJzqnck8yZ1sbTyY7C7Bb87B8VvbT/JTR5c1f0yPnmrVZ9rUIrtWPtUP2tdaYsdNrkz0XUUyy4kpf\nYKlvQiD9RMvJ0uejuUif6AKA259uqvVVJqZrZ7p87YFhNm8yOYaN7aw/WXur6fYwjpWfrddZYfNG\nhPGYthm9GT0aBtb0aPtXcz4YbMT2ldeimBm1myQx7BJLJF+ReX0waP59MvpSPHndigds7JNxtbRT\ntvGEad93jLneJfEt91sim/o/9ED3Sl0mgGcDt5ekyvtMwmvvWweNSWxWomQOTxbIscm8hvRkJLO/\nXQOS1C0DKgOctHZl4Pfs84JwBP4mKeXY5X5q66/dt85Jdj7aGnrgMOuztWQnQ4I9sfY+ilEMoffE\nOytd5uIBu7782SJXcjz5fLuJJMIMgZu0sDnJAqUyblj6MzkiQ57Ys9AH+MwQN+ZarWxmjsiumZcD\nM3vAFEMiLBDZ4rXNEiVPV9f2jG9n73XNY9td2IKa178V7VvumUIh67s1InNsH3lvq3PRdpXtTugn\n/pH7KOkyBNJzLK2qlamWaX36AJ8a2NYOiUZK2LXx5p6p6nYNeFI/U5yQbTMgjCmkeDoySTMaS7az\nijfSPpZcdg3O0Vwi8u2tl5yrBElR4Uee7YgMlP1YXdIGrQgh/T8D/jJ2RmLN21oXOS9vPzT7pHj7\n5fm31J9Zgwz49mJUV/CUOed9AbBoXNbXojZeTMqOzcTGLgSoVrRzrp0H7zwxAFbTK3VohQ5Nn7Rj\nEmtl6Y7mGhVnNGHOUIR/rFyprRtTLLH83xq7Jm5r4p0f5gx1Gcubs7zW5jsWc/YhGT+Xc+nTLsYO\neY61TwoOh0OT2EX+lMWXWv8Ia3n9mXZRDLyZhPzI/ZbJtv4feovMe6IdIBZgaKQxcvAISFtgig34\nmXkwSVsL9hb4iOaUTfjaHLoE9xqJ9t9bC2svtXbMXmhj9CVMocQDox4IiwhVqSvqx8zfK3Zkz6vU\n2SeIjtY8a5snXYCXLIBI8Ky1jcaK7JB+xZ5lzzY5LuOD7XVvjS3SxgCnrJTrUsZT5vx6OkvJFKGi\ndqUvlPupES+vf0ZY0iXXMaPf0zkpQlHqk3NkMYsnkywUyDHYttLHvT3TcFYmhtbgk+tZ+ipGRGNs\ntY5ojjWcgRlP4qLWH73/offs9cg8w320XFrDmSL98hzeLOdJk+32jryULfnIfQQQa4MS42jZJGeR\nEiu5SDDmgRyrSi77ydcRIG3vd03oNWukVb1Z8cBTFByjcdngmCEZXpHDEgb0ano80BmNp72OCLu2\np1oyY8ZmbLbmq9lgkU4PkFsEzRqfsUmTzJnLgnateNE+934KMTMGS1jbxO4VW6wxuwAChjiWY1j+\nb/VhfboP6bs4wErN+ls5jSG7bD7wYlzUT9pQ2mnFEU+0mJhpz/bz9EVx2YqvkS1R/GPitrU+Hi6K\n7LPsYs4wu86aHbXx6HogzxnpMh+reMKeW69tl+Km7NflHLfkXWJ0Jp54ui1bM2JhHE83U/Biz9/N\nIomP3D8J4B8APITmJ+gA4HcAfAPA36P5Pfq9RfsPAngCwGNofuaulXvQfCv+EwA+HNm3pb9DbxHX\ntq2UTKLXDlkZwLUkX7bxnDZKdFZlS7MhIvWWnlYHS3C9dloRwdLHAOoMGPLm782n1JsJqFHbLGHQ\n7LECqwTFkc6uwIUtgnhz0c6JRvY1nZ4f14hFDr3zJsWKL56d7F5rbbx9zhB6LT4NBgPzS8C0fSmv\nR2TBG1PanpEMuWPEiwERQY/iY98krdVpnUsvNnn+nCWnTLuoj5aza+IMaw/Tjok3rM9ZRQJLrydM\nbm0fPZJTM35EWr0zUEt+yr4Z8m7pYfMIE7drpaZgYF3PxFF5drRz543H2h35Zq30tQcMlo2EjVXy\neel/7Lfcsz7aZd0tn2L0R2Jxj5uZzAMpQj8E8DMA3gjgJ0fXTgD4MQA/DuBxNCQeAF4D4L2jx3cA\n+H0A7UJ/BMAvo/lt+rtH903Ztl+KlznAraPVHILoHuPEGlmPSLKXxGUfebgssC711wDSmgPrEYk+\n9Ld6y/4a8GGKA9a6sf3Lfl7SLPVlAW2fSbQr+CxtjwoOfRMgi5Bq97WzJhN4Fz+tISNs3ND6ZoWx\nNzozUazrsiYRwNfEKyhYdjHzZsSaa5fYafmrzF19EpFIsnuqgWIN/FmEjZlbjS9bfbX2kT4mvkdi\nEYeI3Gf1a6/7KPD0XbSotUPawozDxr72cRJ4xeqbiV99F+JqimqRdC0YAJMpGmgFkBo9Uof2pXjW\nR+5rhPUZizN4PKiv2GPZdDPI+vr6S/4ckYv0OQBtBeB+AMdGz98N4JNoftbuSQDfAvBmAEcA7MYP\n3+H/BID3eANOnNAzyVED4lFFU7vWjhMRD8tOthLKknWtv0UitfWJgpEXRKz5yD6y+ODZJm3y5h/t\nqRxD6rfmFLWRkiFybJVV6vHWJCoSWLbVECANCHv+lJkDu0+l30WEOptgvMKV5m/auNJGra83vnUW\nIhs18eyyxpfjRvO0dHiFkb4kEwetfqzvWTqYtlY7TZg1tiSaS9+AOwL3UYxhgKE8wx6otHKKNUZm\nPpZdVn+P0JX3aolI2dfSoe29tz6eLVGMy+6xNZ6mLzo71lpnYl35nM3R1hgMAY72zrM5ss3K/zU6\n2fPkxcdszNdwgzdWKx5miNp4tnhSMz+tv4xr8pr3v9XefrN5m7WzLymxUTlG+Vi26zt3bVdJvkP/\neQB/B+CfK/f/SwB/Onp+O4CTxb2TAI4q10+NrpuyqV+KFyVIVjzAUCsyMGZJo3bNI7zeWlj9JBHT\nCFI5h4xECcYDKAxwsu57erTAERHJSKclMlBb8/X2WtNnjdFFWPLZx1heoI7mnAVFHrnRkn6X/fZs\n6BqnWJDWpZAh19bbCwZIte0i0hDteYZYa/ZE7Zi4aNmSEa9IwxC0UrR5aQRY8+so1rI2ZCQieRLM\n1pAfTW/GvnKtrLPA+n1X27z9ZSQ6Q1JvO56VY2r3oU9CEEnGzgwB9vSzY/ZNTLrqmxRR8mIpI9uJ\nwLG21JDnsk/7P/Tt9cHgh+/Q19rUl8iig9cuc13Tv5mxYjtJ4kvxfhrA0wAOoXln/jEAfzO69z8B\nuAbg/+jbvk0h9BKgyL/2uiaM42RBDlNNsg5+BHq16qUFDrXqqlwTD0R7SStTMfNAQqmHAZrRuCzx\nYIsdln2WeBX7dg0sO+QcI0Ip7WKq2pNIApG/yrbR+pb+GRUuvPUr+3vg2yNpbHFMnkWGJMsxtT2P\nzqbn0+V9OUemIOTFz7Kt5YfaPCybtDlYaxGdjRpfl2Ci1aV9GaDWzpLIBu/sdj2r2lnTxtbOSRZU\nMT7AxFLNT7TXng3s9Vqx4isbSzRd1rw1fd45z8RizxZ2zTSswOboDI6w4pz0qWy+9rBiFActfGSN\nra13n74pyRCDdxjsVbaVOrMxVnvedQ28/kyO8fY9OyYbM609in6Hvi+fqcHu7ffpaP0tu2R7bX0s\nrH8zyvr6Oh555BE88sgjUdOnR4+nAfwxmv+j/xsA/wWAdwL4j4u2pwDcUbw+huad+VP44cfy2+un\nvEG37B16ximyzsmMzwI4aYO8Ftkvk5A2jjYPLXlpejxA5xHOVqdGqJh11YAcQ0Y8O/tomwngEZix\ngrkFBiPilrWPuRdJRJQ9uywQxI5p6csSEG29S7/1QA4zlkzEHpFl4kJ2bOaavKeBNumztYBCggJr\nvFrdrT5PIqI6KXDB7hkT+2vGtfJBV719i8xLnn9Y5C0T92ttk7ZE4q1/di2j88LEZIZ8s3ZZcTIT\n0yK9tW0zBQMPU0XkLov7MpItrrUi8dckbMtK1/ielS65Kts3Q+YtfFf7Lfesz2byUE1fVvrAEzei\nbGxs4NWvfjVe/epXj699+tOfls12ApgF8AMAu9B8a/3/guYL7X4dwFsBXCnafxbNu/X/Gs1H6u9G\n83/zQwAX0Pw//QMA3g/gf/Psiwj9IoAvANgBYAHA/4Pmm/kOAPg/AdyF5p/4fwnAeU1BmSg1siSJ\npEVytUd5P1P9rTmArGjBgCV5WuKy5u2BkIjwyDHLsT37GH21JFEDiGX7LKDWQKQsdmi+Y/mm1KWJ\nJC7SJz1/0PRY82GuRUBDayf3gC1iZNqU91mx5lT6RXSeZB9ph3eWtH6enaVeq010v31ukWEZI6Kz\na5ErTZ8m2eRukT1rfKZ/Bjxrbcs5aOfastHaM48UaePLAlK55tG69AXYPHJltYlysmVf5sxoa2yd\n7Wh9NF8uY4VnRyTZuBfhFk2HtW7lGfDGlGvKkmZLX6vDikVeH82vrLOh+YK2bjUYgLlnxYzyUV5n\nx2OE9QFvTO98W/7Arme0FxEuqpHsmjJnkdUj47S2bsPhS/+HPpsrvfEjPCfttDCI5b+yvRfr+8pB\n16uQH7k/jOZdeaDh2H+E5hvun0DDoz83uvf/AbgPwKMAPjV6XBtdazfhPgAfA7CE5n/u/8wbOCL0\nVwD8LIDLo7ZfBPBPALxrZNRvA/iXAD4w+lOldJDyI5JMgKwVz/mjfpFNGshs+3rgj2ljJTDZtjZY\naISIWfcaAsTaY0mUuOR1LQFmE7+VvD2RwZTpW7un7Jow4iVflnQxkiX1LNCS7SXB9cau9RM5XmR3\n7RiRZIFKjW/JvsxesYAuQ8ylHotUMOC39e2a/bcIJyPRfJn1yMakWmFispenavSy/aJ1soB3F+my\nlh4ZzJBtS3ffc81KFwKXiQGZs1EbW2rH3ipdfUoGs9T0vZ6lnJ/1Lffyf+tZvTWFM6nDy8/RfLKi\nxZutjD+bLcG32rfyjwDeoFy/2+nzodGflAcBvI4ZFOC+5f7y6HEBzccIzqEh9B8fXf84gq/SL6VL\n4NDaZIiHBuJkIpDkoMbejA4JLjWQLh8ZIOAVDrIES86J7aPpYMCYdj0KWhlgnZVo/5h7VkGkD/u8\nsbPBW/NZ7V0TTbdX2a2xRUsc1jsYnu94PtNlnTyb2QJERrz4lS3KaeLFK88vpC2a37Ox1LMtc72P\nd4q0OGud2dq4op2hKFZkC0msMPPQ/KC8xuS7SGr9RJ6H6Nx3IdKTbD9pO6KzUROvmT5d17vPWMfa\nshV75xGmCMexeGTSUjMWmxdriXOmj9ZfklntWineGw3eWGV/BrtoNvaBc5ki9M0miW+53xJhCP0M\ngK8BeBbAXwF4BM1HCp4d3X929FoVD+SzJFP2k+09oCnbas5eXssADg/cWXMrx9GAhQRFFjCR40hd\n7KFudUSAvXwdgbcMuc4C7xpiwO6/txae7ZovavPyyI1FmrsGTc0PvfWQbTQSbc2hbD8cDtUvLCvb\nMeBb6pT2l7qieGLNqbwfEScvtrRtvPvMPQ8gWD6qnV3r/GqxQuqz/EKzz/J1TQcbk7x5yHWTZ6V8\nXQv+rX6eT9eIBGEZMNYlNtQSHulvVj7Ojpdpl7XN6xvlfS821RY/LF0RDmHjpafXs5UVD9OVj1Ec\ns2zzcpI3d2afmPGieJA5d9E+avo1uzTsxQiDIzwsbUkfhDGrL+v3fbRpxwWa2K/9D330O/QWBsvE\nlmjeWb9gdDLtMrzpRpDtTuiZL8XbQPPxgb0A/hzNR/BLGY7+VHnwwQfHDnH06FHs2rWrzlJFrCCY\nJXxaX4v8RP3Lx8whs8CzZou00yOomtSSDIusekTCI7bW+FFys6Rcd438ZZKGtx+tLgaoZeyP+nsJ\nw1rnmrPArhlDZi3QXysaONOSpNx/C2xqfmKdKZaQSjstkQTaAl/MHkR7wdwbDAYuYe2yf33sfbv+\nmXPXSg2hieJYH8LuWx85LWrD+mzbp32tnSFtbK/IxNrK2KbZIsfM7GffQDna8+i8b5Yv9nFmW6m1\nWTvzfcl2ICHM+e87Jkgd1vmNZDusHyN98YGWvLevy7jZpWBWk88sO9vX2plhiweyj4WlAOD73/8+\nTp06Feq5UWS7EXgpmW+5fwHA/wvgHjTvyt8G4BkARwA8Z3W65557XlThunDhAgAbiLbXrAqtdz+T\nGKNKvQdOZIK3QIsGBBiyLb9p2tKTqZxphCUirdZYTNCx7M8S7LJtWVTQ7jG2eWsfFXSk3dbaWu3K\nNl3XIxJmPbR1k2er9FemSJIBH8xeyeds8tLGkX7vFd4k2fbmpo3nrb8XY6I+cj7yWiRe4YAhLhl/\n9c4Z0zcqsnhjRWfTs9EbK0vuvPNR+p307yzpzNiQtVPbC+u8eLHZOkeaH7JzyPiwFSsy55vNwxIr\nyH1m5sKsi3dPW/vyeRSrNT8s+1oxScsfnj1St7TFitPa2bbik7a21tw0G8o23j4yuNQSLTazZzfK\nHZbPS1vL11mcJ23pQzLrbdnn4XFGNJ8q/U37HfrorGu65Rhem0w7Rjz/0c5Z2/7222/HkSNHxvv+\n0EMPVdtwPQj5P/RbJtHnBw8C2Dd6vgTg5wA8hOZr9u8dXb8XwGfYAbOHqiaJ1UrZt32nquaQaKBN\n3vfsZEhl2ZZJVppt2uuoPSN9BfQaEsi28foy/bXEbd2X17rYl+kfEV2tvTaGBS4Y8mcBsKxo/mzZ\n45E4j8xafcr2fe2hpyMDBBgipelnwCtzL1PkYEEOo6dvYf2EFQZoWuP0CYgjqclN1lpl42afbaUd\n0s4uazopn2NkM31hO4oV37ZqP/qW7Dyi9n37yyTP62ZLdq1b/FT+Wb9DX34pXlfJFP00O60YXjN/\nS26U85eV7f6R+4jQHwHwl2j+h/5+AH8C4C8A/CYacv84gLeNXqsSAWcrWTLV49Z5reqjBN8l0e0r\nwVtjy3lZwM2rdEv98sBGlVeLoFnVWPlxW41AyQCnAdOMk8vqsreuni95QawkElo1tfQXa36aLQyh\nlD6XIWCSAEWFokgXQyBbP5B+xr5TUD5nx4zsL/dH+rxc13Ie7aO3h5YwZMDax/YxM3fPJ6022WKJ\nNW7kl+VYbCLvQoTl3GUcZ+ZdzisqvpV9Il/pCmS8WFdTZLEkmmeUO6LXWvyXoFIbt4tERQ8rBpR9\nNP+KdFr6NN1lOyuHe/ZJXeV1ba0tuzScUbZl5srELy12RPPS/qwxtHzc5XssMvksOne1sUCbU4Qz\nsmfHOt8eJmTzVc057hI3I5wV+brsY+X2KM+Xca28VmJKCzNbomFxRrQ1sc6FhRtZPCj7ynXvGtev\nJ7WZ22MAACAASURBVEkS+lk0b4D/yej1T6L5PfmHAHwFwJuKth9E87N2j6H53fpW7gHw8OjehyP7\noo/cPwzgJ5TrZwG8PVKuSeZgZ4NAFwfzwKNnV3nIGZAhx9PEAybeIdSIDtNuZmbGJWA1wJiRKNhl\n9Fq6mDXpKtmgrO2nB+C8vtF8Sj/OgjopHiDwxpavy73qQhBLv8wSTsvWyMeivp4NfSRvuXbyk0Rd\ngFMEyDNigbCuwLTcb6m71B/thZRMO3Z/NbHWRbuXsYsVLQ549ln2aOvQh61MIcDLG16ujMB7dL77\nOGOeXVY8n0TO6ktnn0UoS4eHh7RrTJ7bSunLf/qODX3KpNc8c1ZYrBrh95a8S721uJLBb5poGF4r\nOkylf0l+5P5X0fy2/O7R698G8D+j+S66/2T0+mcBvAbAe0ePRwF8Hs1P3A0BfATAL6MpBPwpgHfA\n+S36fr+ylxArGMu/rI7acbNjaIlFVq1kFU8Tq/KqVdBqKmO1ld2+1ra0wxONIFpA0wPyzFiRHRbR\nZOan+W6maKPpi+xlJBrH69eKrEJGOlnSEq2xVnnPAkgtrnjvfNQWBWrIWJ+AU7O75uxHX4rn+bc3\nHy1+ZWy09sW7Fu1JpvCoxR+mX2RHds+scxIRdcZO75oW55h8rZ3hvkUrwls5Uz7XXteOX8qkihuT\n0qvpjgoimXXrssa1BNba54wttetdO98uBZ3M/K4H0pcpGHbNI6wtkjy3cdfbNw3TR1Kzh1k+0wV/\nbNdi2aQl8Q79MQDvBPBRAO3iP43my+WB5l/ZT42evxvAJwGsAngSwLcAvBnNJ+R3oyHzAPAJBD8R\nn/lSvGqR76QBXNW1vMc4K5OotKAnAVHZRwsqXqApgZ/2f/hR0J2ZmcH6+rpZOJB6WGLFrF8UMGVg\n0tYtSvQWSIhs8D7a4unIkFk5R288K5iWQb5su9mFFbaoVD5q41pAuExkln9LUM0Qe29sGUNk8cwS\nzR+s8bsWyRhy5flfNHarUzuPWhySukv75P5HhD2STIzuQgbYNbUIuDZ31gZJErsSLBkvSvuk/mh9\ny//vlDYzwqyL5nvlGN56M+c8spdZ8zLvavEsu2dWvtd0WXtmxWHrvDF+yeS5LrmnC9AvbZA6Laxl\n6dNIlNdWG98Smae1PlpczMT18h57ni19Xn7WhIlVUb6KbNPysWeLp6tvyax3pMPyW+tL8bL2lZLN\nj+XZsHhMdp01XG3FhpuF2Cf+nfj3APw6gD3FtQ8A+CKA/xXNm+lvGV2/HcCXi3Yn0bxTvzp63sqp\n0XVTNoXQl9IVAEnJJsG2XWRHFLAj0GG1yyRqD6x3WccIWHTVN6nDHc3bI9qs7mz77Bht+77PQV/C\n2MW0qVmfGoBjjcOOHRGXzZLsmZbFDY/MZ9afLYyUY3mvo/4Z8QBLV7FIG/DSeN7nmOx5Y32R8fcu\nIDLjHxbhtfp0PW8MeLeKgBHhmaT0URhidGYxD4txJi2MXbVx/kYTpqhgyVZjks0i9jV927/yd+hb\niQqWnt6oXxYTZO/LmNkXVrtRZWNjA9/61rfw7W9/22v2C2h++e0hAD9TXP93AP4FgD8G8J8C+AM0\n30XXm0yc0JcVWVlh1apH7XOvYtgFVFlVawsEM4fEKiqU89UqW1pFeDD44ZeSMQlVA0TlGsrxMsUB\nC6xnKnXSJpZ4WPNnSIU3L2vvreKJNg/rmubP5aNHPC2dNQUrtm2mTfSuhWwjfY3ZS883rHcEZGyR\nbbTrVuGn1FPqjs63tgbMuyvaWfREAofIb62zWMYGK15ptmtxOrJXm2sNcItyiNfPe509J1r/mkKy\nzA1ZsG3FNy/mRb7WpWjA+LKlPyIh2vrIs1/aZfmxl5sskWPXAuzIX5lzJefrradsY/XLEpEoJke2\nePOzYpJ8zuwtY3P2DGQxZ+RX2qNlD+OrGdHyX/TaymnMOkZ2M74cjamJd36ZvZa5Rn4KqtXjrQHj\nB9ZrVth8yAizLl3yx/Us6+vrOH78OI4fPz6+duLECdnspwC8C81H7hfRvEv/h2i+FK/97rlPo/k4\nPtC8835H0f8YmnfmT42el9dPwZFN+R/62oS4lRIdQgv4Ai8NQsycvTXqCkJr7te27VtqCa3Wvus8\nymAWETvPHrZ9H8KC/vIea1+WTHUVqxjT1/i1YL1W+kjeViKvJc3bOT5PyrbNmPeNAnY8kmoVEyzp\nGp+ZImOtbqnXe830YSVaE1ZvH/7mjXWj+PNmSO0eTqUf6breXhGgJfnaR7GZon50P8K/stCd0Z2N\nY31gjOtdyP+h/w00BP04gPeh+aW496P53/i3jtq8Dc2vxAHNz8C/D8DCqM/daP5v/hkAF9D8P/1g\npMP9ifhN/cj9cDg0v5VZOo5XpZWV3vZ5+U6EVrlvbSjFI2nyvtSl2Vfa4JGjcjw5btlfW7PIHktv\ne03qseakVfUZ8JapxFtzt3RbAcZ7V0P6jFVdlOvu6dfsl+PJNtq6sBVjrb0lcjymis4A4aggEQFs\nze8YsBO9S+GdN81Wa980X5TjRwRFxh9r3aVd8qxp6x7tV+RLFllg/dGz2RunjBnRXsr+jE9pMYrV\nz1wv72fJfxSXrPPp2S/tsfRnbGTOiKZXrnWU69rXGXu1tbH8NMq7ZXuZEy3sEPmShzfK1549Wszw\nYlTNObSue35UtpfnLBItBmqYotRtjam1KcXCK55tUTyPJHPGZPvo3Mvnnlg4z2vXtmXiTDSuh/W0\nPlnMI+NuzbhtewsHM30GA/4deisGRNdKibCGZiczPzZWaOeJzRM3qlT+7ny7QP8VgP8dwA4AK6PX\nQPNN+J8aPa4BuK/ocx+AjwFYQvMt9+Y33APb4H/oawKJprMm+EU6s/ekc7MAR9OtJbIMuNvKg+aN\nqyX4jN5sEM/YNhwOX/Qb7KwOCSaY9pHfd5lnRPys8az2ka9agJRNmJFY+54B05rOzPg1Eu1h19iX\nBUaMvggQW8A7uqb1Y8h8DRDKtm33iTnzfeSrctw+9ZV6+2zn9fXOniUMAK61SQJwVjIAuG//m5Rk\nib6nB6gn9H0IS+zbcfuUTI6atC21dljSFU9dD5LxHau/hm3a59qX4gF1OcOLNWyMmoT/3+g+wkry\nZ+sA4AujPwD4OzTvtmvyodGflAcBvI4dbOIfua9J3JmE3JX0WCSYIVxWu1JHBNoisicBSlTVrZ0L\nY2vZ3pMu4JchxX0CqkwVs4/xMrr7sK0WCLHgjSGs0Xlmil6RHYOB/ZNrfcecrlJzPrS9Kc+r93Nz\nkb5S76TPS1+FRrlffQIOby59+8dWEb4uRSrtr70XjRO9w9GFBGq29EWymEJWVl+f+dGSmneiM1gg\n6mONm3ljhS2odMGLW0lYNjsGTKKYZumvxW2RZIs6XfFc64ftl+IBeNGbP0zc0trUnDVLr6eH5SBM\n/NzKIuVWS+Jn67ZENoXQe+RSI6yaeMnaSiIe8ZXP2z/tIzWaLdH42gEr18FKtC0xicCJF0Q03Rax\nk7ZG5CoKHBoRi9pbNtbO15urtubaWkUESVsTOabmY2V7zW/6BhweoZfr4RW5tPX1wLKXZGqKBHJ/\n5Dmy5mo9lnOyiInnO9HZ9+ZoxULNPyNwVIILTZf22ouLFkFmgIe2L3KutYRei1FMYVO2teKx1sez\nwxvTE7nW7Z92zljdjK9F16N90c6KB061eVhjWL7m2e3tWxRfmXVlCIHlf1oc8XCPZls0P8smzUYr\nd1rrUEMy2JymYSBWr2eXZ6u1rtb+WXndmpOmw5Mo18hxLKyR2R8mVkobZdvoWmkzY0s2zkX6NNHO\nHdtfw2vy2szMjHm+PGH91bNL6pM2ynEy9lni4Z6bQW56Qi+lbwfroovpU6PXCnZWuxoboiBSC5z7\nkEmNa83XAmo1YJtNmFbQlPezhKFvYRKHRTLKdn2L3EsWMLMElxm/67wY/4jIYZdxa8GdpZMh7F31\nl+IBKRaksWeUsU979MbuQzYzFvQh0k8yxK+GSNfYVz72MU7fOKULEeu7fSm1axaRpj6IW3bdptKP\nbBeitpV2lDHFIvl92TdJvtFFmPO3XXxlkrK+vv6Sv+0km0roPcIkn0dO2l4vdWaqg57u8h5TDdYq\n7eW9cs6yOu21l6BJ6tBssarfcr3K9lb1W6usy32SdkbVa2+tSp1a36gqrJE9bU6afe218tMRUbEk\n2jfZNqq6anP03lFgyLo3l3JM6WvtO76Rn0pdmbE9YmAVZyySL/t7pFebk9y/yAc1KW2RNmnFKNZP\ntDPNxAhrraL5y3Ejmz2JYpV1Fpk5W+N5+cOKUR6hl+dEO5vaWJptZVsNFFpxgJm7ZQMLtOS6R+N4\n/ifHzviKtb6Rr8g1LT+1ouUH7zxo9pRjeHZZuCbqL23w1syzid1vT6f22rPFi52aX2lrHuVva5wo\nT1v3onnJObJtZR95LVor+ejFUM0muXbMmWZii2YPK4xuVocVo5l+NXbIOC33r/0f+uw5jPJYdD3C\nY9G4ln+W/mKdt7IdM+aNItN36IX0cbA3Q7yg4QH+9pFJOFrfTHvm0GtiHeSMbNU+TnJcSbo8YNa2\n1+5lQPd2Ow8MSMomjr7EIqg3mzAkoVavp6vLGNkY2KfezZRJ2JONL5MU6R/ZPBfJjXKet5tftpKx\nazvNIWvLjeJHN4tsJjnsgnVLAlcSW9beScTyiJf0OdbNLklCPwvgIQB/Iq7/9wA2ABworn0QwBMA\nHgPw88X1ewA8PLr34ci+Tf8deu1n66KqJVuhZaqaVrVSXreqURGYjiqq0bsC3vzKeZbvGFnvLljv\naEh7rQqmVUHXqnURybMIsVVltNZNtmEr7dZ6a3ZG/qjpsvZI9otIk7YW8joj1rtLkUj7rHdQvKJW\nuVdRe2YOnt72nhc7NJ+Re+fZ571jptkix7b0RePJa1ac0May/K+8551r2U87l5adnr0ZoOa9UyB9\ny4p/0ZjsXrCgSfb17Cr/2PjEiMyHml1lO3ndsyHah/YxisvefS8HefOK4nY0N0+vtEv28XKeFYO1\nfG7tgZV7I2FiiWYvGwstrBOtFbMPVoyzfM4bV4t31jUpmbwV+Xo5D8Zu+dyL99b4mk7rzGVztOyT\njV2MvV3ioYYHanWUcU2L3d6Y7LhsjiztKPNJec+bi6VLa++dtz7y1fUkSUL/q2h+iq5coDsA/ByA\n7xbXXgPgvaPHdwD4fQDton8EwC+j+W36u0f3Tdl0Qt8lcNSKNZYHgL1DmJlDBOqZPh7wsvRlD3Vm\nP6KEz4K1yM6uYpG/DKBjAFQ2aWRBWd/ijckQQ0tqAHGNaMnE8skomUaELrIhe8+yoeYcWH5UC6q0\ntfJiYnacSfg6c9Y8iXxWtolieZ9+NAnR4rEVr714yJASq5gR2dRFaog8q7evvjK3WySr79wY7Q+T\nx1ib+vTrCA/d6BJhKKtd9n4f69rFZ7cjMZRxrvzSbEnorfMSYZDadZdnN/tLN9ncmClM3KiS+B/6\nYwDeCeCj+CE5B4B/DeB/FG3fDeCTAFYBPAngW2h+3u4IgN0AHhi1+wSA93j2MR5wB4C/AvAIgK8D\n+Bej6wcAfA7A4wBOANindZbVUK3aqgXrTBCzwJdXnWaqw3LciDyUutsD5oFgzY62TzmOfG3NzdMf\nrZ+2F9rc2LbMwc8E8OFwOP7JkAiwRQROA05a5ZXVo+1X6Quaz1n+xQBPdm3ZfdD0az7LFrw0X9Hs\njkCajB3e3llxxHrUfjvW23tpi6azbOeJFUe8ecq5av01Xd48rLnXzEWOr83V6mddZ2z0+nogy7I9\nmj+7RhY5s86QFS+6xtFJgWR5ViyfzNiRzQeaTZptsp/cCy/majqiPZFnUmsfxU7tHGRIrTbHSQub\nN9tHb65ebrX2RGIjRr92LVor5mx7fZg8Y73W9Fq5gtVj+Sezj1Zuj8Q7b54w8ZfBWhkbJa6TtlhY\nIhIvLlhz8HRJ7Jmxh/WPLvH9RpDEO/S/B+DX0Xy0vpV3AzgJ4B9E29tH11s5CeCocv3U6Lopc+EM\nmqrBfwfgawCW0fzQ/ecA/LPR428D+JcAPjD6c6WGYLCSDcSe9GGnFgSkLRZo1WxhbWKJYa1+rT8D\njjL6LL1ZGzPtJVlqX9fOp8s6lIFZApWsHm0OVsAv5122jYhs2660lQF4llg2eONa41hzKh+tfrVi\n+Y6VpGt8u9URrbHmS549cg+lHqu/FKk7C3zlHKzrfYMJa41q98gbQ55tzVdr9fe5LlYhwrum9a+d\nm9evvVf+O5+XezNigW42H2XziddG6qj1EasvA9wtifbGit01uvs6g5n9uxFlErGzRmptYPfG8j9m\nXA9rlIRe81GJJzV97B5E7WTMqyleaGOw17aDH22GbGxs4OTJkzh58qTX7BcAPIfm/+d/ZnRtJ4Df\nQPNx+1Z6Dy4MoX9m9AcAFwF8A02V4F0A3jq6/nEAf40eCb2sjnXRxY7FkBbGBob4yPGkTja5eonU\nIg9aUMsElkgyyVuu+aTJc9SOJc8awGX7WG0nERS7kESmOMMQ4ohEMvO21ks7J1phJtKZ8Wvv/iSK\nhpIMaWfZW2NLn2ZPVBjoIjVgI3smrEKV9Tq6runtE+TLNff2przXZ3GhlEivR0y9XCifa3pZ+7z2\n5XnI7KknNX7LnNEaWzLCFNC2u7DnY7vIZto3ifO/XUh+JNm5d1krSd7lNSZmetdZTNpKJn/LYoaH\nO6+3s7YVsr6+jiNHjuDIkSPja/fff79s9lNo+PE7ASwC2IPm4/I/AuDvR22OoXlz/M1o3nm/o+h/\nDM0786dGz8vrpzz7sv9D/yMA3gjgfgCHATw7uv7s6LUrEmhbpDV7SCJHjO5lgLiWnKV+792M8l77\nUR2tvQcI2j4eUWHnpFUcpa3enJhAaa1VOUbUtpZMlbZ66yILC9aalLZotktyr42Z0RmJRTQ04KuN\nGflfeT8C8KU+j3wy97Xxyn7eNS02RDHA2mutvSdejGP6yv3win+lfvn/c5oe73WpUxP2vMs5RAQs\nEjY+MgWfLnb01T+rrw/gqu215WNRH7n+Ue7wnmfmYNll+YYVY5n47/mbd6a982SBba2vB9i159pr\nqctbdy8eMn0iPKDlQi/Wlc8ZPMScEcu3M/6Y8e9Ir3Z+NJvlOkX+x2JfL5doepm5TFpq7Wv7ZvOx\n1lfilvaaFVOydjLttHOTmVsUR6zc7WHDm0XIj9z/BhqCfhzA+wD8JYBfRMORj4/+TgL4CTTc+bOj\ndguje3ej+b/5ZwBcQEP6BwDeD+Aznn3MO/StLAP4v9B8c98PxL3h6O8l8tBDD42d4MiRI9i7d29i\nyFg0x+5Dn5csLAAp2zBJrnxtgRFvTowt2ji1elhAX77W2mivJaGLxo8AB2NrLeDXAA0TiDNj9JEo\na3VogV3qZNe/j3lYZF5LNpk44IHnLsmqy1mKwLdGEmrWuNXFgMX2vrYP5X1Psnvj6ZE6gVz894Cv\n9lojs54+Viyf7bJOkwTYmu/JWOjF/5p1YnKItE1rX7u+2fWUa+CB5q7St66MyDXs0xZNIkwmbcvI\nZpLWjK4+4qWnr4vu64HMsdgs6i/1yGu1+8TgTwYnWPE4GlsWi7S86MXap59+Gt///vep8W4Eqfzd\neW1DymuPAvjU6HENwH3F/fsAfAzAEoA/BfBn3kAsoZ9HQ+b/ED+sEDwL4DY0VYQjaP5n4CXyhje8\nAYPBD78gzvrZulKywFBL1N59pqLmJQjPdk9HeV9Wra0ga41hgWOtAh4VCCJSwAB/jwDK+9JORqy5\nlPe0+VlrZ/WPkl0ZBK0+zFp4vikThezLSqbAYPmA9NPIDrkunm5mXM0OuWaeTVK/t65a4rbmZo2n\nja3pYfozEhEsa3y2SBPFxHatom/Y1c6EFcMYHZZNpW2Wbotw1pJN1n4thln75sUebeyuZEyuV1S0\n0eYQ2WCtb7SnmfPirYeX87219UTapukrY4oVWyz7pEi9rE3l2BnAb+nXMIHWT+YPC/94Nnh4yMOO\n2npre2yN3zU+l+vt5b5SNFvlOddyozbvjP3eOng2Rv0y8dEbS+55TayWerSxNN/18IaHJ6zYotmk\nndns/nkYoE+sUcqRI0dw2223jcf72te+1nmc7SwVhP4Loz8pLxOvPzT6k/IggNexgzEfuR8A+Hdo\nqgf/prj+WQD3jp7fi+CjAB4ZzIp1wFgCo+mRbTJASc7JIjSeLVJXBJgyc+0KWi2JAEWmT3svC9D7\nnpsHYi27mDYZIKXp9yRDwlhdGtjXdHvgNEPUGJFrqCVXT7cFNBm7MgnSWhcNdGn6M4CbJVPMOJGe\nGtJY21cbW5trJibW2qEBa+1+VqJ4V7bTntdKBMBZH7HylDdONDYr1vliz0JmLI80avq6nJNJS+Z8\n9+Frk5Bsjt5s6dMWxjf68p/NtrtLe1a68g2ZdzTMoX3LvaZnEiKLAdkiQG2bbN69USTxs3VbIgyh\n/2kA/xmAn0XzrX0Poflx+99E8419jwN42+i1K9o7Cn07YDtO+cjck0DGStoM6dT0lJU8rzrtgVYZ\nVDzS5BFILXFHRYOSUHugOiORjUwwkXbK6+WaefujzY/Z61IH00e2K8ePJEMqvaKSnLMH2q370fia\nLo/QenOwCgrlPdYn5fmRNmp9o/OqtdXuy72W62GdB8veiExpayXvST+2YkA2bluESxvbstMS7YyV\nuspxmDMidZePnq8wBREW7Gg+3gUoZeJKaYP2XNNrkT9mvb2479kQ9ZFnofwJWCv+a7Zp84ps1UQ7\no55erZiiEQhrLE9flwIG25clFMz5t7CYl2M1n/fyBtvWWo8oz2vtLZ+I/CzyhSh2eK8tPOiJ119r\na8XNTHzMnEUmNmfGb3WUP50ssSWLhyybvLPP6I3Gr8Xp7Pm7GSTxs3VbIsxH7r8Im/i/PTMY6/SW\ntIdnks5kAVhpR0kMNB1eMi/Hkc+1pG8RIu/AS4DrrVk5H81OhhxZdmXBk5Uso6CZDYCWDsbHmHG8\neTNJvBZURXrYPh5YsESuGzt2uR6RT5fty/E8kOeRXY2oebZ4Puu106RrHPPiiyYReJ2ZmXE/Oq+t\nYw2xrxVtrbPA3gJQnt/2FVc0O6O8EJ0JTz973xpfE42UlPdYPUw7aTdjm7SzD6klA6xvdpXsPMt1\n9Xxz0jawemvWjCGNzLmIcnQZR7v6G5szIuxpXevDRiYeZWUzsU3tONIHNUIvJSr8WGN5rzWRfKPL\n/kS852aX7UbgpWS/5b6zeITVa+P1iQJ+BhQwgdIDDlo7loRq5NsCT+X9kryXwbuP9ZC2aoWKLgBY\na1sbONgkHl2vATMZcmX5t0Yya4XRYa29RX69dt7YfSQJ6d+WfdqYm5WIuiZwppghY0T7qBHx7BnI\ntsm08+JkVjKgp48zJPX1eS4jUBhJn6Qxu5dW3GPzXZ82WbYx42fmXT5G7dg+UcGUKWJ5wua8LJnI\nxDttjl39LStMfN1M8YpEm3FWNFs8LNcl7m1FHi7H1uzIFFDa59rP1rUfua+dXxf8XEqLASbpy33Z\ner3KjfCR+05iAW4pbMD2CH07HmOPRQwyScoKyN58ZULTgk9EEL2KqyT1mh0WCLRAt7emFnCywEG0\ntxEYLAGwdl/TqbWzgIUGHrx9lnNlxtPaabZYkiHB0b7LOXj7ZFWnSz0W8czOydqj0la5B6xfa/qj\nvS4fPWFinRVjNDDnxQsZI7w4GAFpzd8jn7Xua/PoA9Bpe8SQqz6AfNsu+vI/Vre33psB5LPEVosT\n8rmMHVpMiMbNAmMvdlv6LRu8M1OOEdnh9WF91zujGfGwgmdjNFYUQ8p2Vhz38rCFi6St2mtrLM0e\nZl6Z+4xE2I7x1xqJsGnX+NyO0bUvE9NZ8eaYObODQfMvPBJrtPnFy5VWjmbPM3MWJSbT1jLC4Fre\nt3KuNe8bXZIfuZ9F8y/qfzJ6fQDA59D8m/oJAPuKth8E8ASAxwD8fHH9HgAPj+59OLJvS9+h77sP\nk5BZkd/GX+qzQKVHzksdEXiw9LPBiLlftmMSeCkR+cmsewY0yXtsMPTGyoxdCpsMtHseAGGTWmRb\nre9rJKOWYEi/7QogmDX3klbWF+TYLDjW9Ed+niFzFqnSbGUkIt0ZUm6Na8XIrLB7mB2HIS9e4SgS\ndl2idn2KtSce0ZKkWSP2mkTzqiHKEYhm9zS79pm8w/oLSzhLnX37xCR8rBSWvJf2aDFO85nMGrPX\na6WvdWTWaLNsmcQ4Xda9dl7Zfhp5L69rxDbCHpOQScQDiXM2y5e2syQJ/a+i+TL51jk+gIbQ/yiA\nvxi9BoDXAHjv6PEdAH4fQLvYHwHwy2h+m/7u0X1TNp3Qt19UEyUl+W5AKdprD9BGFam2j3av5nBq\nVTwNPGnkfjAYvGiNtPFYYpEBKCxIYPbEIqXWOyPWOCxJYffbKqaU91jflLZ7xEq27xJ8IwAsbWQL\nCHIMbe+idS7bRIUir3Ah10uOrY3rzVNLSlJfRJJlH28Nyns1c2eBZ9ZW6Yuavuij+6zfegWMiEBp\ndkdkzSqgaHFKA8rt9eyeZQsnFjkudWULMqUwccErNjHkVjvXFvBlJDpTmf6WfdYctfkyZ9jTy+KW\nSFdUsPB0y1gc6db0R/kv6m+194iqFeM8v/Mkwgx9kGZLMvmIxRp9ETfLVy0cYwlrT63NLOaIxs7g\nZBmPrbjW6i2/5Z5dNzmWNbYnkgfIsSM/q9mTmrhwI0niI/fHALwTwEfxQ3L+LgAfHz3/OID3jJ6/\nG8AnAawCeBLAtwC8Gc3Pwe8G8MCo3SeKPqpsCaGflEQOlbnfR9BkSSEDaDyA4umXOi0yyiYW2SYb\nYKN1jQJvhmQz41njR2uSXX+PxLX3o+RVI7Xzl3Z5Eq195FsZiUhPZgxvrTMgRUvCjG0Zcuyd1wiw\nsOPU6GGTeAaoeDq8NYzIQXasmntZ/VGBoCuAZ8Bupr3so/kiq0e2q90vSXZqihrR+F2AsOazbQsW\njAAAIABJREFUUbEha9NWS58xntEbxYE+yUV2Tlmfri1K1Jxdr+128idGaglpTZ8yrpVxpv0YfoaA\nd7ElsrFr3spghZtREu/Q/x6AXwdQNjgM4NnR82dHrwHgdgAni3YnARxVrp8aXTdlS/6HPnK+shJm\nJdK2vyR57MHyKrcemYtsb3Uz8/TIvAaS2tcl+cvolmO07bRxyntREcATrXpo2RiReU+XtM8aW1sX\nr9Lp2d328z51oiX3qFhgSRakWFVaqa9sJ+fgEefynFpje8TF8nFpX2mHdt7ba+W/yWjnSPaRYzAk\niynMWPFLCuvH1vVobz1yYBHHKJayZ17aUAs+o4KnJJBeTKwR6StdwL0Ua70zcbtWGOLo7b8WL6IY\nL+NmX7aXtllxTNqSka4EnrmWsa0mZ2R0yz32+so4Lu2LsBbjd55+y3bLboZsW9hTrgcTcz07GQwV\nkcAucdTSyepj7kX29VV86XNumg6Jd+S18hx4GEDjE/J1Nk5KvqHdrxVNpxYX+tjD60FIQv8LAJ5D\n8//zlgMOR3+9CvOzdb1Kn2CrT11AfQXNCrJeQrQSrUdGsonSAtReUGHmHAWlCMRmdJc6GTJliRd8\nJKnrA8DJAM8EPCb5scIQyradtv8ZouHZmClclEmwL+AdFRWsvn0BAVZXRBYjwNJXLPT8v9yf1qaM\nzbJ/JF3PZdtPe531L1mg6ioSgLF+X5OT2EIE004S5oxNjLBxy7KNOes1er3Xmf7ZM6DpYouKlh0s\n+dHWUJIWq602jpaDrXgiiZO8FokkWVab6HoGa2wVqdHWuc9Y1ZfU7EWtWHtYc3bLmKJ9y73la4wf\nWfdqsVZWV2u/LFiU/WTMlwWLm0k2NjZw5swZnDlzxmv2U2g+Xv9OAIsA9gD4QzTvyt8G4Bk0H6d/\nbtT+FIA7iv7H0Lwzf2r0vLx+yht4yz9yXx4Mq8rEBiePJFttIjLuJUZNt0betDEskscQei9RRtet\nvtEaW0GrNhhFbT1SEa1HzXgZG2qlHbt9R98bY5LJuExCXhvgpe+wtfeYM2n5r9bGE61AVd4rbbLG\n1uZVPrK2sH2Y4lIXkir3QNuTKC7Ix9IvvbH7vpcVFqBZgN6Ku+zYtcBNG1sjLF2lhvRHop19xgdl\n/y4FO8+uUvokM13IANNHA9FMTrTiW0SarbaseIXx2jVni1hRTK/R3baZNDnR8GZNvplUmwiPWHq2\nQ9GA3bvs2jNFpZbk19jAvGb1DQaDF/1sXZfC6M1I1FlZX1/H/v37cffdd4//FPkNNAT9OID3AfhL\nAO8H8FkA947a3AvgM6Pnnx21Wxj1uRvN/80/A+ACmv+nH4x0tH1U2ZR36CMHY5xOgoZWL9tfs6lM\nph7BjmyydNeQ3RIUlUBb01/aoBEd6/87rCCSAb9RUYMR2VaCG42cZAmUVUyxbNHAg7a2mu2azZp/\nZQB3tJYWaSl1WPtq9bVIS1TsknPtWrTQ1l07/8Ph0PxuDsuGjY2Nl3xE31sr7ZxFbdl5yb7Styxg\nXtosybhmh/RHLQ7U/iyb5wtlG8/vmLjBkjXrrGkESmvnja/pYUWuRxnrrfPD6PLaZImDVTjTiHy2\nmKH5MBPjpH4vLzEENlpjGb8i0ujpKvtHevrANmV/+WjlMzlWF2Lh2SGvMblL7mt2n7X7Vky17Mic\ndW+Nyzbao2an3BcrP3uvo+uW3YxEeWezxcuT7Pkr+5Y6tDgYYV52XT0My/iTho08sbCfF9PLNbgZ\nJfhWe0vaBf1NAJ9C8631TwL4pdH1R0fXHwWwBuC+os99AD4GYAnAnwL4M2+gLfvIfW3w0HS1IgOg\nFcw9iUhLe81LflJHlFRkG3k4LbJo2R4FGNnHIzJa29LOmjX2xAu67N5FEgVfGbSitdH2iQV4nh21\n0u4/Q6o1kif9LLOfjB9n9Xh2lNetdWX8qQ/ypOmSQJSxK7Ijig1lO0uH9trzSy9G1IAHbz892yxg\nbPWtPUdRrLX6ZEl2tC595su+RDvXnn8wILOWTFprtZWAM4p5HkC3zkTtfCLiGuWpPqWP8yjXlil8\nsONuFlHJjuERPbZtjS195sQ+pGsMrF0vKwaXOakkeuz+srEhslVigoy/eKLpsfLwzSIVhP4Loz8A\nOAvg7Ua7D43+pDwI4HXsYJvypXilREC0vWY5k+xjObOW6K3kpoFL6+ebIlCuEYzyEEjSrQG4qGBg\n2WMVCDwd3rieLpaQagnXAvNRUrbGtkBwlqBa+8bYVI4tP/okCbOni7VNjmv10fxI8xnvXFpnyiN4\nGmkp98WyzZsL0ARU7TxbZ0Z7lGewFG99rfbW/ewZ0XRI//Fs9WzRbI/iDnu/9CEPTDDETrtfE8uy\n0tqe0c0WMxh9mk/2CZoiX2DHk7FR+p8Vn60x+gaGUez2zkEUD8prrB1eew+XeGBaW3tLmNxj6fZy\nVWSfZoO0hzk/WlyPcppls7RF3u/jPEv8F5GryH7GHq9NtOdWOzZWszZZecXrU17P4oWyXSYfRH5d\n3m8/FRfhAmadu0p0ZtnzoemUOqzz3Xcs346S+Nm6LZEteYfeC2J9ODhDnKx7FsGRNjLziGzIBHsP\nbHvgjCHO1lyiMWTftl3mYLOBUAvqkS5NR9SX3UuNTMqxvOAaAZ+u56BLcJXki9UVJV3mvJcJMktC\nsufQa9fH+kfzZ/1FinZeLfLC2Cn11oICT/qI6wwxkj7D7Gm0TzIvMHPx7JBjsf65GYCJJVia39WA\nRnlfW6vympcHupzhSa2t5VseNmDy7naQTMzy2jPFpb7PyHZd1+2+9wyG2s5Sk4fKMyvxXolXMniu\nSz7UsP1gMHhRgSGaB2NDbaHoRpbKj9xvmmza/9C3j9rhkKI5nka05bUuRFJe9xw2IpVeUUAeRvmo\ngeqITFrjyzlagUdbU0si0K/Nv7xnkX8m4DF7Y4m3ZtI+BnSVj1KsPdHsn3RgzJIPa+5Mm7KtlvhY\nGxkfLNvJfWPmwvhD2b5M3FHbSKLYE91vRfoqu9cRKeoq1jr1BbiZebOxwjvD1hy6xB9Ll9wTmSs9\nm5hxo5wln3vropF6uS5aXrP01pA3z7ZSh5ZvonVkC5Panlnt2bMp7WVzhXcGrDVn8VfG5rafXCNp\nk3ZPs1nqyuaSyPbI30u9lk9buiMbM+urrQcr3jpLezw/0uzqK19EWKsUbS+0tgyWi0TGO7lug0H8\npXiZsa22jK9NAktGuZY9PzeKbHdCz3zk/g/QfN3+w8W1AwA+B+BxACcA7KMHLD7KzjhgNkBrj4zu\niJwx5K3GqWWwtUCJdZgiUiV1aqBBjtVVataBTQ7MfBmbrNceAZUgpTaIZeZaO0ZtkGfAubTPu8+M\nZ7XXwB9DNEpdGgGxbM0AtAz4sSQLiDQf9fyVIU+aPdY6aaDGKz50OSOsfdq4kY4a8QhQjS3SV5n8\n4olFOjMSxUipN8oZkwR51nmMyEnZl/FjOUZkh9ZHrlnXuKHZk8EhjK/V5g1W2NikxTgvN2clilFe\nTsqMMQnJ2tanHVau74vYemL5OnOea2zQ4rR3LavTI8lsbM2cP89vPB3ZM34jCvk79FsmDKH/9wDe\nIa59AA2h/1EAfzF6rYpX1fSCNeOw7WFinYwBmO1979uetSQtx7AAd1Sh9oCJpcd6zQZwjxiUwJwh\nvZotcqzIRgvweElE2mfp0goo5T0GEGr2Wv2iJJMBYjWSWYu2jfQzOQeGVMkzIMfPzNUjh3IsOY5H\ndCw/8PyaKVpEST4CANlzK58zxS1ZiNHOtEbma+y07GP7azHeyxfltchPZR+vjZyHdj/qL0WLh9k4\nYO2TVWjTxvZ0av2iP01faU8WiNfa1lWvluvL8y37yhziibZP3p5lcpOHMzLxxdPLijV+FKM0e6x4\n6/Xvgo1qxNqbLvuXEW9+fRLdPqQ2h2RErnuGL8h+8nfoZ2ZmaFzAtLHaRnaWNmYIeqTXardV/rLV\nst3/h54h9H8D4Jy49i4AHx89/ziA97ADZh3BciZGT/ZQaON6JLrWqb2A2waJcmwLSNcC1ijheMKQ\nJssGRiy9VnCxQGLWHhm8pQ1MYNRApEWGI9JYm7zKuVh2R8TM8rlsQorWjvUhaYNGDK2xvDOkFXc0\nPRog7COhsSTS6lfGCubn5ryCiNTXt1jrWQOsLcLO6GWKEtFZzxLFSFfGl/oCUl0IbvuonbVIB1No\nyhJJLXZ7OjI2tcKSdK9vJEwO67L/bIFBvtbWLUO4pUSFi6iQ6Nlq6WHnEOlkJONP8jWzxsz4NYXG\nSZK0TAGjL519iUfoWwId+XGpS3teXmNxluQBLEb1xpavp2T+xUK+Q78I4H4AX0PzU3T/qrj3KwC+\nAeDrAH6ruP5BAE8AeAzAzxfX70Hz6fgnAHw4sq/2f+gPo/kYPkaPh62GMkFvtTMwgALgK1se8YlA\ngEeSojXrqwItgwFDzj0bs8RPtvPWv6ZAkwHfVmDM2tLOw1oTa90Y0QK+ZhfjxxZ4LtcgKj5pY2t6\nLNszYFcbIyrERDbX2hHdyyTZsn1UcLL2lYk1kUiQIvsyZDjSnSmGMLGkxr+1695rNi8wEuWGLgWC\nPoQlWBqxnwRob/sxuhnQWmNLFxJfPkaFVsu2LuuWuV4rmZxZm9fLdSzf8Njq8yIlUyRgCiDZ+U2y\n2Fyj17Mng1EztkTYLCNyj8q8Lgk9m+uZ6xk82Er7pXiRblasdd9uZ24zhfyI/RUAPwvgMhqO/UUA\n/wTAPJo3w18PYBXAoVH71wB47+jxKIDPA7gbwBDAR9D8bv0DaH6H/h1wfou+j7djhqM//aaoxrZO\n5wUMNvl5ZCEihhYhZsh4dAi1Q6+1Kf9K3Rpo0sbVgghTgbZILqOrlhB1BbAWcYt0aeNZgEkjYZ7/\naGvCBNHaZMTsrWzPAAY5f0Zn5NeldCXRcgzWf9tr0vfknC27GN/J3PfmIW3R7IsKJpEtUpdWJCjX\nSJMMWaolwl7RRtoZSSZWMP7f9b5sK0Fha4cEiX2A9FasubO5wyP05Xw0XZMEgzJ3Wuc3S3SjPWDj\nnSXWuY/iCZN32HxS6ojOl2eXlRfkay/+avqYuWaKBV0LOl39OHuuNYzI2JJt10ecmTThy5BKKxZk\nxpK8xCL0UljMbPl2xncZe7qsgfeaPcs3giQ+cn959LgAYBbNp9z/azTv1q+O7p0ePb4bwCdH158E\n8C0AbwZwBMBuNGQeAD6B4NPwte/QPwvgNgDPjAZ9zmr48MMPYzBoqqqHDx/uJWCwhF+7n0lwnj4r\n+Wl2ZUC3FnxqSLBHOqVopEcbTwP+2vxrDzazXh7B7lPYNbHaR8WWSGefAL6WZLQ2eQGbIZzaOmaI\nr2VDVIiJxvBAErNmmUTNFoukXdo9jUBF9mpkXusTxYnI1gg01iZ/7yyWvmrds15H17V2no7aebXC\n9q8plDDjM+0leGR01BDprLCENGuD5kNZUhH1ZYseNT7m5RVv/zIxJcINWsxpXzOkXhKpyC65nn3m\n066SsSXjl5uhh9XZp/RFTmtjgsR12jWr+Mr4dlfRsEVNf+16KVrMf/rpp/HMM8+o7W9ESXwJ3gyA\nrwJ4OZp32R9B851z/xTAh9C8i/8/APg7ALcD+HLR9ySad+pXR89bOTW6bkotof8sgHvR/A/AvQA+\nYzV83eteh8FggLm5OdXpI9BbigbYtSSh9ZOJI+oXkUtPykMfVag1sQC7Rpw9gutV0eXrLiBFG7/c\nn/K6Zier3wOxFtnUAExUTWX3XtsDbY+ksMBE2qaNEfVh9qlsZxF6pvBUjmslOM0263xa9moEzhrL\nijOZ4kkGDNUS1kyBQ/M3LT5kxrBijLyftVnaWfatsbF89IC6F1vY8aI2NXtsgb/yOmtTl8JCFJe9\nPtJXvHgWkSntXheQWwJObY5R3s/mI5YMa+sTkWsrt2TivxWPNCzUlVxk7LJeWzqtHPv/t3etsZdd\nVf03M6UpA6SoJQzQJsUEDRAEAQEV5Y2t8fVJIQYfEL/URBMTBDQx+gVQExVi0ESDPCIlikgwNDyD\nYIy2iJRiS2WGPqADHSBqKRrC0P/4YZ/T2bNmPX5rn3P//3un65fc3HvP3XvtdfZ6r3vuuUw+Kddj\n/L23BhNbo88Z22EwWqhr+5DJq6w5S5snXh7A8MvQt2DlLF7OIfPcSF+X8BfN0/Ioz78ya3nzz5w5\ng2PHjuHYsWP3v7/pppuG+N8V7O3t4d5778U3vvGNcCiApwC4FMAHADwXrd7+DgDPAvADAP4GwHev\nyR9T0F8L4DkALgPwRQC/A+D1EzOvQLtE4GfZBbMKmxnPODdvTCbJt+ZHxi3X0YoLK0gx5+DRnY9r\nCU1k5FYxMZKUs4mQVoRFRaQHZt80R96fu7aWDMhsYGT4yM7T6ERBrF9Pzun1KEpkJK/yN13Ruh49\nT8YeLSthkkm/t09WQ8MCGzDZfbTmar7CW6PfQ6/RJHlhfeGSBDeDNexLzmOKLavwGU1imUSetY8s\nLDvKFFgjCTZr0yyN/j1jD/N4za/JMYyNR7BiQyapjmizcS9bWKxlr56ueQW49HEy5mb0ZlTv1i4a\no88zfFo+KqJ7UPDi3Ugu6cHK5dkiVssN+ty1f1j/Q78p/Zppa/nWKLw4aOWI2vwLHffddx+OHj2K\no0eP3n9svkLBwD0A3gfg6Wjftr97Ov4JtKL/MrRv3q/o5lw+jT05ve6Pn/QWYwr6lxrHX0jMBeB/\nk2YVeEwCnUmc2a6fVeBqxu0V7DLxkXSipDoypCj5Yg3M6kp6tKIkhXUAWtMhCkjWvrOdXG3fel4y\niYwlv/kzqduMPLMOfokOaOtlkz6LrtbwYNfydECTpSY3q/DQkkNtfKbgsYpmCyMJttVUmGnI5glj\n/5FdS0SFtPd5Rs+lr+7la/lnay2LJ0vG/fFsI8c6F20tLY5oPpFdY5Q/i45XRGgxXDufmc6aMcsb\nY/HWz2V8rBa/tTXkHC8pjtbrn3serPjMyDlqWkhk/DGjz+y6DF9RnmKtGclciykeDxHY87ViosWf\nlv9k1hsdPzrnoGhn/DWTZ0R+oP/bOiZ2Rrob5Scev17uEtGQ9Cxo9B8oxTxAX3J/GYBvA/gfAA8G\n8CIAvwfgXgDPB/AxtMvvLwbwNbQr3t8B4I/QLql/HNrv5s8A+Dra7+lvAPAyAG/0Fh695H4YkVJZ\nCr+WI/KSJi0oR8GZSWKtgtIr6GdHodHp50eGziSlljOIighvXQtyLitXpgjy9rMfk+GPWYeRsxWQ\nmXOw+PaSlNGiUeOPTQrlOKuYtqDpd0/bOyeZIHlJuKfXXuC1+M0m8BZfLDQ+ve68d+6yGIy6/Ba/\nms5I2iN6H62VKUJG6Eualn14duutYyVwUbNhE2CLPsbOZCGv7ZmVyGr6ypx7H8O0WNbTZ4pUeU6S\nVwZWIbBmIZYt8th9XFvfLHl4sli6/xpdy+asY0vWWwI25mdyKEb2I/SZ2G7FHWYNGUu0z73YlInr\n2vz5uY8BcxPd+oZ+LUR2KAv6+RhD1ztm+eiDsodtAFnQPwrt79wPT4+3A/gIgI8DeDPa39B9C8Av\nTONvQbvi/Ra0RsA1wP03mr8GwFvQGgPXwbnDPXAABX2fMI4mxFLBNSVeGjCZQl0bGzkeOU4rXrQE\nwCqy5r3w6Gk0JTKFuuYgez5GnVtPK5M0R7xmedDOzaLfz9NeWzxptC0HmuFdK6qtNb3kth/jFb9M\nc2RpAGASAabQtGxoE2CabZbf8JIdq0jWgvloA8bzNQzdtZAtsLRmBRtbIp8+6k8iMH53UwmUjB0a\nPBlI3Yv0fUl8sJoCGl/9e208W8hl90Ui48tZ+1+7yO7B2IpmX15hwBQi1loaPal3kZ9l0MfBTdja\n0ri+H7By6lGwct8PZPI4ba6V7zA+bx63RrNQ5msZXiLazOejYy8kkAX9ZwA8VTl+Gu1bdg2vnR4S\nnwTwJIo57HNBf+bMGfc/RCPn3s+xkhE2mfXWiXiJEhitmNJ40hIcjbZGx3MWXuKU6UBHiYUMgiNG\nzhSE/Vhr3z1diMbJ8Zqe9Tz1OpYJ1kzAXFI8ebpqfW4lxfKbWquw1+hp+6KN15Iza71Ibp49Wnxa\n/FjJHbMHjD6zxaHXvGCKF6+g8Zo02vpMwtDTtugzNmpB0+PITkbsSMM8P/M7Rcb/9vsi945NArO8\nMIWqJietiPfsYXTPWT3z5q8Zi6xzZdbPFHK9zWo+QtJcYo8R/x79TMz25mu65uVDkd/UYsi2Fh6W\nLDfRrGH90Aiy85acn5VPbKrBJdeROih9d4bWJnhc8hv6iLb2etP7vo1w/qZuK7AZDXAQJaIzLGes\nBUvGSDLBL6LNrhcVd0u7dpFBRUluPyYq+qQj82ixhs6MkzSzDpHlT9uHbHHOFs5Rka3xngWzX9Y5\n9PxFBYYHrUhcAq3ZYTVJWN+Q0SumITN/FjUZ2HU89EFcO99Ny4tJZCy/EfHHFqARZJLvFQMML2vp\nc9RAYfjyaM/0ljRQLNraY5RXD1HjVb63+JLjvIJSAxuP2fkS0sduKlGO7C9zXlpc9uLekvOyYpM2\nxuNV41sbE2Fp8bbETqLceUSmLJ+M/96GIm/NZt8cY7WmElvQe/vL5Iosn5LHzHyNntcQ21RjYtux\nt7d33mObsPFv6GelkN9wSOPox2YDqKbI0XyvK+ytyRTpXnEYJRNWoqTRiPiwoO1vpoDVaFhrRwVT\nJgBptNiC00ss+s/kzcWsxNAqJqUu9k6RaZ6sCeYbCkv3vT329EU7b2tctA9MIqbx5OmyDMCZxocm\nd4/niK5WzFl+Qo6R+qZdURGdk+YH2N/ij2Lev2zxYPlCK7n35CT3lPWr2nqjNibp9bq1RlHnxUOW\nT6/BoMnD8wdM4psFEzu1OdmE3lufacJsurDT3ks9ivKdNWDZpOXHWT60YkquaSEqOkeKFiZmRGBy\nrn4tmWtY8Zmh5fHUP0e0mLx8E2D508ZGtYC1Xq+D/f73N8Xz1tD8prWWx5Olu7I+GGkwMJBxJYoX\nFxq2rYCXOJBv6Bms4TQ1elEyzhRdWkJtIeO0+znec8+r5QCs5oLHJwMtmc4EArbA0SCDiFYQZWh6\nzoiRWzTW0jltPBMURpClIxMNL/GKknSr+Bo5z0iXLRmwiVNUKDKJOwvtPLwgaSXmUWHrrS3pS3rW\neM/mvLlL92oUmyiu1jgXNn5kEPlGdi8zCW6/lmVraxUczJzIF7PvJU3vvQdtLlPwyvdekWDRYvix\nbJTxBSMNI/Zz6ZMi/xwVuNIGMk0NJs9gkdGdbMzZ9oLK4n3TfLM5gDd3fq3ppdUIZexlVJ6erXjn\nor33civLt68Vs3YN991333mPbcK+FPS9gltBI6uMPe3ImWuFRGRsXrCMHJPs4skx2qNf1wpi8+ce\n71ryHyUkkQxYRzSvLbtY3n5ZCVlUoLH05PpRgcI6fssJasWwXDuibznykcAX7Zc2vn/OrCuTJavA\nGIEWJHv7sXTGK3JYeWiw9okpYr11mSCuBVl57l7C6tmJJfcRu5A8M/xlGkTzMY1fRrYZvWZ1JWPb\nbPGb1U9WTpafknxK2myRpa1pyTxal4GVfFprseuNxEeWH4uOZ58jxcmSfWWbBMz+yJyHLaxZPRvx\n5VqxP4rsuczvl9BbA1GOmJnL+uH9aI4sOS85r8+9ezuc73Jv5eleLmshuzeHDq13dV0Uf5iYdaGC\nvOT+EgDXA7gR7c71r5uO/yGAzwL4NNr/0V/azXkNgOMAbgXw4u7409BusnccwBsi/vb9G/rRv0Vi\nMGIEFo1M0PQc2kgSoDl8KyHOFGveuLWSn3mcRW9UvtHaUVLF0JjHRwmKN3d+tposXlIix0k61ryI\nTnacbEr04yNerOaUNZ4puGUSaNHRaFm20z8zSXLGt2hy0/he4uui5DYqnDy6muzlZx68onQ08Ft6\nJO1kreKwn882NkYKb43/0cbdUkibs9axinl5Pl5DyQNTIHhNo8iepT+R5x7xxcTKSEe8c2T5sRDp\nkqXX/evR2KetI197x+RnGh9r2d+mC3cGUh8iXV+LLyuWRnq5q1gr1mqxwCros7SX8BnZLEOX8VlZ\nv3ChgSzovwngeQCeAuD7ptfPBvBBAE8E8GQAn0Mr4gHgCQB+bnq+CsCbAMyb/GcAXoH23/SPmz43\ncaCX3FtKHCkMq1hWEGG+KYiKEGt9r6CxeNHoe8/aWLm2pN0HDMsxRbzK8excC5mCoW9gWEGHaUAw\nspe8WHJmmj9Rt3qTAdQKMpbOzJ9FPEX74Y3LfM6s4ekFk4Az9pflUaMl+dU+93xTT1vaHoBz7v3A\nJoKs/Ul+M0Wzda4eHx7YosqTK6OrFn3PdixeNGgy1Pw3o4NZn7HEx0gdYfzkWmtneMvYrqc3TGzT\nGoQWX9pxWYBbezaaTLO6lM3DoqaPxUc/N2snmoxHciz2XDReGCzV803YiUczo1uMTx/haSQOMHQZ\nPWHWmm1V08Vob/vXnp3J+MpA8sScB8Or5zOWyn1Xkbgp3v9NzxcDOALgvwB8CMA84XoAl0+vfxrA\ntWh/a3cHgBMAnon2f/YPA3DDNO5tAH7G42/jBX0myY8ScitgZ43KO64lzR68xI9xINr+aDdmk3OY\nIG0pm2a0WqKm8cgUo6yTlkWxhygwy88tul4xz8pNJmDenmjzrKtUmOSD1Ut2X/uxGv0o2bXoaUko\nWwxF0ApXL2nWeNUKay1QS16zRTJzHhZPGm25r9liKmpkRJftZfy317jQniN4vp/lSWKk6cHOjbBf\nSdEaxYGmd5a9eH4hy5/nryW04q+fIwvmpUUgw9eaBY9HO/IlmXMaicVRUe3Rinhh9WvNdb31M1ha\nWDL7nLGRNeDp+SgvjKzY3GcU1nn1j56XOU8fbQaxeWYk7zn/mWM3a+teY8E63vM86id3GYnf0B9G\nu+T+FICPol163+PlAK6bXj8awF3dZ3cBeIxy/OR03MS+/w99b5RrJhrZ8ZpR9M9eghyVBUJ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4XCxnARgM+jXQJ8MeqmeNuKK3H+TfHm3xu9GuffWORitMvXPo+z3zxdj3bH2EOoG4scBA4BeBva\nJb49Spa7h8tw9u68DwbwcQAvQMlyl/EcnP0Nfclxt3AUwMOm1w8B8M9ov9stOe4ePg7ge6bXv4sm\nw5Lj7uKdAH6xe1+yLBQ2iKvR7rh9Au3GFIXtwrUAvgTgW2j3O/hltLv5fhj6X3/8FposbwXwY93x\n+a8/TgB448a5Lkg8G+0y7Rtx9q9crkLJchfxJLTfeN6I9ldZr5yOlyx3F8/B2bvclxx3C49Fs8Ub\n0f4SdM5jSo67hyejfUP/aQDvRrtRXslxN/EQAF/D2WYbULIsFAqFQqFQKBQKhUKhUCgUCoVCoVAo\nFAqFQqFQKBQKhUKhUCgUCoVCoVAoFAqFQqFQKBQKhUKhUCgUCoVCoVAoFAqFQqFQKBQKhUKhUCgU\nCoVCoVAoFAqFQqFQKBQKhUKhUCgUCoVCoVAoFAqFQqFQKBQKhUKhUCgUCoVCobAG/h+NRVxaQwXX\n6gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# easier to work with transposed\n", "result = np.transpose(v_disp)\n", "plt.figure(figsize=(20,4))\n", "plt.imshow(result, cmap='gray', origin=\"lower\", aspect=20)\n", "plt.colorbar(shrink=0.5)\n", "plt.savefig('V_with_f_vs_depth.png', dpi=125)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice that many layers are relatively fast (bright) at low frequencies (top of the plot), but relatively slow at high frequencies. This is the implication of Liner's Figure 5 (in the TLE article). What is this *f* at which we have the least velocity contrast? " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Sven's question" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What difference does the Backus length make? (Chris chose it because it works out as a peak frequency of 125 Hz, given the peak velocity). " ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(100,)" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "range_low = 1\n", "range_high = 50\n", "lb_range = np.linspace(range_low, range_high, 100)\n", "lb_range.shape" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7815, 100)" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "vp_range = np.reshape(np.repeat(vp_tnt, lb_range.size),(vp_tnt.size, lb_range.size))\n", "rho_range = np.reshape(np.repeat(rho_tnt, lb_range.size),(rho_tnt.size, lb_range.size))\n", "rho_range.shape" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(7815, 100)" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Lr = np.reshape(np.repeat(L, lb_range.size),(rho_tnt.size, lb_range.size))\n", "Cr = np.reshape(np.repeat(C, lb_range.size),(rho_tnt.size, lb_range.size))\n", "Cr.shape" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [], "source": [ "R = np.empty_like(rho_range)\n", "for i in range(lb_range.size):\n", " R[:,i] = moving_average(rho_tnt, lb_range[i]/dz, mode='same')\n", "vp0 = np.sqrt(Cr / R)\n", "vs0 = np.sqrt(Lr / R)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Originally, `moving_average()` was sending back one sample too many... Now I check for the 'same' length, and fix it if it's not the same, taking 'between' points, average of each pair, which should have length-1. " ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(7815, 100) (7815, 100)\n" ] } ], "source": [ "print vp0.shape, vp_range.shape\n", "ptemp = np.pi * np.log(vp0 / vp_range) / (np.log(vp0 / vp_range) + np.log(lb/dz))\n", "Qp = 1.0 / np.tan(ptemp)" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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1+pgNTGvLv51YvWaTLDVxMTF1mx5FXq7v9Fxduw+ZWT/WM+svjs9+bza4dF90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\nJEmSJEmSJEmSJEmSJEmSJEmSJI2G/wB41j2IIhYxogAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(18,4))\n", "plt.imshow(1/Qp.T[:,800:1200], aspect=\"auto\", origin=\"lower\", vmin=-0.05, vmax=0.05, cmap=\"cubehelix\", interpolation=\"none\")\n", "plt.ylim((range_low, range_high))\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The *x*-axis is depth. The *y*-axis is the length of the Backus operator in metres. The colour is the value of 1/*Q*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's zoom in so we can see these textures..." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "vline=54\n", "plt.figure(figsize=(18,4))\n", "plt.imshow(1/Qp.T[:10,1000:1100], aspect=\"auto\", origin=\"lower\", vmin=-0.05, vmax=0.05, cmap=\"cubehelix\", interpolation=\"none\")\n", "plt.vlines(vline, -2, 10, \"r\")\n", "plt.colorbar()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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qq+A3v4nJnYqWLImNMo87Lv47Ywb5Tz7ZNM1IIc6W8r//G6egrazqY/36mIjq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\nr2+TKimJCdFycebddVf8f7N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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(18,3))\n", "plt.plot(1/Qp[1054,:], \"r\")\n", "plt.plot(1/Qp[1054,:], \"k.\")\n", "plt.hlines(-0.025, 0, 100)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is a 'transect' across the operator lengths. The *x*-axis is operator length, the *y*-axis is 1/*Q*. Completely by eyeball, it looks like the asymptote is 1/*Q* = ca. -0.025. After a length of about 40 m, in this case, it looks pretty stable / low variance. [NB Need to ceck that these are, indeed, real units.]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Implementation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What's the best way to implement this in `agilegeo`?\n", "\n", "- Already have something to compute elastic moduli, essentially replacing Liner's equation 2\n", "- Make sure existing routines can compute in any dimension, e.g. pass in logs (vectors) instead of scalars\n", "- Maybe this is a module `anisotropy()`, that calls on `moduli()` and returns $V_\\mathrm{P0}$, $V_\\mathrm{S0}$, $\\epsilon$, $\\delta$, and $\\gamma$\n", "- Then need another module, `attenuation()` that takes $V_\\mathrm{P0}$, plus frequencies or wavelengths, and returns *Q*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Enhancements" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "- Top and tail a set of logs according to whichever has the least data.\n", "- Better yet, model the missing data." ] } ], "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": "3.6.4" } }, "nbformat": 4, "nbformat_minor": 1 }