From ad54339776a74d01fd91f93ca43179ab51361a8e Mon Sep 17 00:00:00 2001 From: EvanBianco Date: Sun, 20 Feb 2022 11:10:13 -0400 Subject: [PATCH] trying again with Wedges --- docs/_userguide/Wedges.ipynb | 1037 ++++++++++++++++++++++++++++++++++ 1 file changed, 1037 insertions(+) create mode 100644 docs/_userguide/Wedges.ipynb diff --git a/docs/_userguide/Wedges.ipynb b/docs/_userguide/Wedges.ipynb new file mode 100644 index 0000000..6aa3d52 --- /dev/null +++ b/docs/_userguide/Wedges.ipynb @@ -0,0 +1,1037 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "corporate-inspector", + "metadata": {}, + "source": [ + "# Wedges in `bruges`\n", + "\n", + "Let's make wedge models!\n", + "\n", + "We're going to make **all sorts of models** using one magical function. Here's what it can do:\n", + "\n", + "- Layer-cake models with no dip.\n", + "- Wedge models with arbitrary thickness on the left and right.\n", + "- Clinoform models.\n", + "- Models filled with arbitrary stratigraphy, from constant values to well logs.\n", + "\n", + "All these models can have varying amounts of rock above and below them, and can be extended left and right beyond the wedgy part. You can also dip the wedge in either direction.\n", + "\n", + "**This is a new feature introduced in v0.4.2; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "mechanical-genius", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import bruges as bg" + ] + }, + { + "cell_type": "markdown", + "id": "french-swing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## The default model and a basic synthetic workflow\n", + "\n", + "We can produce a simple wedge model just by calling the function." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "changed-graphic", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge()\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "severe-companion", + "metadata": {}, + "source": [ + "You can then use this integer model to index into an array of rock properties:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "80b58fa4", + "metadata": {}, + "outputs": [], + "source": [ + "vps = np.array([2320, 2350, 2350])\n", + "vss = np.array([1150, 1250, 1200])\n", + "rhos = np.array([2650, 2600, 2620])" + ] + }, + { + "cell_type": "markdown", + "id": "f513fc44", + "metadata": {}, + "source": [ + "We can use these to make `vp`, `vs` and `rho` earth models. We can use NumPy’s fancy indexing by passing our array of indicies to access the rock properties (in this case acoustic impedance) for every element at once." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "5ff4f7e7", + "metadata": {}, + "outputs": [], + "source": [ + "vp = vps[w]\n", + "vs = vss[w]\n", + "rho = rhos[w]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "environmental-transfer", + "metadata": {}, + "outputs": [], + "source": [ + "# Make reflectivity.\n", + "rc = bg.reflection.acoustic_reflectivity(vp, rho)\n", + "\n", + "# Get a wavelet.\n", + "ricker, _ = bg.filters.ricker(0.064, 0.001, 40, sym=True, return_t=True)\n", + "\n", + "# Repeated 1D convolution across the rc array.\n", + "syn = bg.filters.convolve(rc, ricker)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "reported-classroom", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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H9LdrGn/3XkE0hvE+ojHdb47fdx9RRvqRuMvkmK6S8XjqbwC/RnQOmMgngPPi7Xwz9fyniXp6WTdwYxa3QaKiqDeKyDBRQH03URKqfp66jShj/POJNjKOic4t45rG9fa7gb+Jt/fWcTYx7vnSTI+oTQm54Ek0tdV9qvrOVrfFmMUo7s61TVX/ptVtMcYsHBIVHL0POCkubmSMWaJE5JNEw0LtWmKRsjHWC5CIPI4oa/YoUabsN4C+ljbKGGOMMQkRcYiGgX3JgmpjljYR6Sbq2XnRFKuaBcy6gi9MJwE/IyrH/wHgDfEUP8YYY4xpMYnmtz9CNH7cepMtEt29/du7e/v/q9XtMAuLiPwjUbfwf1XVR1vdHjN7ZhRYi8iVInK/iDwkIr1Tv8M0g6r+n6puUNUOVT1LVf9n6neZxciOwbkRT59hXbfMGHYMmvHEc8t3qepj4rGVZnFYlAkpO4/NLlX92/h8YDPjLHLHfIKIp5H5MFFBnPOIJj4/r1kNM8ZMzo5BY1rLjkFjzEJn5zFjmmcmY6wfDzykqo8AiMiXiMb63jPRG4pS0jY6Z/CRxixcZYapamU68xNP11Efgx2rirry5I4mNsGYhePQjhFGDlZbegy6nZ1aWLm6iU0wZuGoHTpAMDzczGPQzNwxnce8VXYeM0uTf3Di89hMAut1ZKeF2UZUZj5DRF4LvBagjQ6eIM+cwUcas3DdqD9u9iaP+hhcsbadP/rS0/KrGLMkfPwlVzd7k0d9DHorVnHKG/682e0wZkHY8pH3troJZqyjP4+tXMX6N9l5zCxN294/8Xls1seKqOrHVPVSVb20kEzraoyZK+ljsGNVsdXNMWbJSR+Dbqf12jLGLDzp85hj5zFjxjWTwHo7sCG1vD5+zhgzN+wYNKa17Bg0xix0dh4zpklmEljfDJwpIqeKSBF4CfDt5jTLGDMNdgwa01p2DBpjFjo7jxnTJMc8xlpVfRH5U+AHgAt8UlV/1bSWGWMmZcegMa1lx6AxZqGz85gxzTOT4mWo6neB7zapLcaYo2THoDGtZcegMWahs/OYMc2xKCe6N8YYY4wxxhhj5ooF1sYYY4wxxhhjzAxYYG2MMcYYY4wxxsyABdbGGGOMMcZMTVrdAGPM/DWj4mXGGGOMMcYsIdrqBixpdmvDtNokv4MWWBtjjDHGGGPmBwuezQJlXcGNMcYYY4yZmoV8s832sFnALLA2xhhjjDFmaoJ1BZ89FlSbBc4Ca2OMMcYYY6bHAmtjzLgssDbGGGOMMWZqllM1xkzIipcZY4wxxhgzNQHCVjdiUZrmLQu1WxtmHrPA2hhjjDHGmKk5WFfwOWWBtFlILLA2xhhjjDFmala8bJYddSAt9uMw84cF1sYYY4wxxkzNAYJWN2LJsiDazHMWWBtjjDHGGDM1BxtjHWl2jDtepnq8QNq6hpt5zAJrY4wxxhhjpuZigfXsywfUVtjMLBAWWBtjjDHGGDO1AlBrdSMWKxWyQbWknh+PBdKmFSb5vbPA2hhjjDHGmEl09/YL0XWz3+q2LHqpwGVMUD3VsjEtZIG1McYYY4wxk3Pjr0s+Yy00P55N8tSSC6Zz/5+0u/dMi5tZkG5myAJrY4wxxhhjJleKv5Zb2oql5mgC6aOequtoG2MM1hXcGGOMMcaYGWiLv1pgDbM2m7fm0uHZ7LWOyWBPFuTosWSwLdg2U5r498oCa2OMMcYYYyZngXUr5IuZjekafpRZawuczSyywNoYY4wxxpjJLYu/DrW0FfNFszPWSiNwnmyMtTNJoJ03067ixozHuoIbY4wxxhhzzOqB9ZGWtmIpktTXiYJuGNtVfLx18usb00QWWBtjjDHGGDO5FfHXwZa2Yp5odkyq42xPcxlsHTPGerwx11NktI+i4WIZbjMey1gbY4wxxhhzzI6Pv+5raSvmA6W5XcHjQEU0DrDTy9N8b/IGJ/96YwtjAmXLWJsms8DaGGOMMcaYyZ0Qf93T0lYsRnHiOcla17+OlxnMZ6RzY64ls5zNaMtRjrm2jLUZ1yQ3ZCywNsYYY4wxZnInAiFwoNUNmRdmqXiZaGqKrfE+Q+Uou3PnAvHMa/mVm/dNWUy+NFlgbYwxxhhjzOQ2AtsG+nrCVjdkUdJGV3CJ97AK0a2MetdwR1BSkfeYDLRmu347+Yx19j1j4urxtmdMzmQ9GfIjEcZ5s2wQkZ+KyD0i8isReVP8/GoRuUpEHoy/rmpek40xdXYMGtNadgwaY4DTgEda3Yhj1ezzWD2GbeYDBQkF4oeEREF0fUx3SDaLrfmHZB6qU+eNRTR5jG1Qfl172GPy36cpA2vAB96iqucBlwF/IiLnAb3Aj1X1TODH8bIxpvnsGDSmtewYNMacDjzc6kbMwPw+j9Uz1WH0NXoIEoAEggQSB9sSBdghSQCePOKMd/0xJvDOGZOhzryWfThOIwCf6cNx7LGQH5OZsiu4qu4Edsb/HxSRe4F1wG8AV8SrfRr4GfBXU23PGHN07Bg0prXsGDRmaevu7T+RaIz1Pa1uy7Ga9+exesZaID1vtQRCPXssYRQ/S30FJzUee4JN5p8Rp/GGVC/z+scln6WazU6Ol/2eLDCfzHhTi5nF4ajGWItIN3ARcCNwYnyQAuwiOuEYY2aRHYPGtJYdg8YsSZfEX29paSuaZD6exySsB67ZcdEOoMkg61xXXIfMumMC1nGm66qvI6LxmO38CpK8rpNUaBMZP9ieeH2LppeCaQfWItIFfB14s6oekdRvtqqqTPAbIyKvBV4L0EbHzFprzBLWjGNwxdr2uWiqMYtSM45Bb8WquWiqMaa5HkcUo93e6obMVLPOY0cRU06LE4+fltSGo/9qI3aW+Mn4CY2i7gaXKKVdf7+rEGp2uf5eQNwwE5hLZoCsxNnz8Yud5XfSVIGzWp3wJWFagbWIFIgOws+r6jfip3eLyFpV3Skia5lgXj9V/RjwMYDlstpu1xhzDJp1DJ78mJV2DBpzDJp1DLat22DHoDELzzOAOwf6egZb3ZCZmNfnsfoY6/TsWAIaNALp7GTXUWCtmUAaNB3ZhNFzjWXJzHutmoqkhdyc2BoH9qkMdi42nqqreHZlO/UvFpN15Z8ysJboVtYngHtV9T9SL30beBXQF3/91oxaaYwZlx2DxrSWHYPGLF3dvf0rgCcD72l1W2aiqecxYXrlj6crVfVbcpOZ5cNV8VOBtAPqpTPSgvqNdUM3G0iHHtnAOpXBRkAl2w09s2567HfSmGyENVXF6MneaxaQSW6iTCdj/WTgFcBdInJH/Nw7iA7Ar4jIa4DNwO/MrJXGmAnYMWhMa9kxaMzS9SyiTsbfa3VDZqip57FmdgWv97gWBSdg7JRaaUHqJQc0HWi7cfBc366rqNt4XYK4+3h9fU8a34coOKlu5vXlTEPz81yn+5GPUyxt0uDZuoYvWDPJWKvqtUz803/msbXIGDNddgwa01p2DBqzpL2MqHv0Da1uyEw0/TzWxIx10rVWQfxs1lqCbHyaCeglFyi72a7foSu5QBq0HiyLRkF4agB3+r0qcUY79VmZQmm58ddjs9ljv89pvWbmvxlmrI0xxhhjjFlSunv7TwKeB7x3oK/Hn2r9pWKCaaGPmTRi3Wj+6iC17Gs28Zv74Ezg7GSDY8eDMB0sB+mYSJACma7gYb5reCrbrZC5mTB+1/Dc62O+0XGeMwvPTDLWxhhjjDHGLEGvJLpW/mSrGzKvSK4o2EylE78BOL4mz7uVVGJYwQlyc2jlgtlJM9jpjDUQpgJrlXzX8Ny28t+zkOkKns9gjwmsjyajbea1fB2ANAusjTHGGGOMSenu7S8BfwZcPdDXc1+r2zPvNLH4lhIHtPWMdZi8gOODxFNmSbycLsuc7SaumWA3HBNYC5ouZuaTCaRDT3KBdnrbYwPrMd3Sc2OuM3LLzZ6uzMwhC6yNMcYYY4yZtj8A1gGvbnE75p+mZ6yjQmFJhjiOfSWMstdOvWt4qLhlRbSR0ZZg4gBfU8XIAMKCZDPWmTHXEHraCI4lfj3TNTy37GQD6XyGe86CawvS55RlrI0xxhhjjJmG7t7+IvB24Hrgxy1uzrykTSxeJpoKMjXb9TvKYMcZ6zjQrmesJdBGt3GIAu5U0KNuLrCuSnbctNcItNWpZ6w1XpZMhXF14um7Usvp7DdONlAes3/yGe34uWmxwHlemayzhgXWxhhjjDHGNPwZsAH4w4G+HptwOE8At4ldwTWqwK1uVHxM6xlq4iAmyWArTjVMMtbiK245PXF1iPgTpxPVcbIFyApuNoNddFNdwYWw6KTeG2W8G8vjVBF3soH3ZFXEjznIpomZbnNMJJj4NQusjTHGGGOMAbp7+9cC7wS+M9DX88NWt2feanJwF2WAyXapzsfuGmWlGxlsBb8RaBOGSC0V9YSN7DaAuE624FgtAKcRPIsfJnNXqwhOkA6shdDPLmcCa0cy03OpI9PIYI99brosuG4hy1gbY4wxxhgzpfcAReDPW92Q+UuzczzPfHOoC2FBCYqNwcniROOeJVN9u9G9WzREgiDp/i01H6lUG9v1Awhy6cV6oC2CuG4m0HYKXmrMtUCx0HibK2ihsb46gnqpQNt1st3Mndwc2qnXEBlT+CzzNb978tlt01LOJOP6LbA2xhhjjDFLXndv/zOAVwDvHujreajV7Vky4ix1fXqsTCVvV3DiFKGG9cxvKvhNU4Ug1RXc91Hfz76e+VyJovf6Yhg2gngRCMIk0BbHyRRKU89Bg3xgnV6WbHbcG//mQLRMkinPPFdvVz5FaoF2a1nG2hhjjDHGmPF19/Z3AB8HHgLe1eLmzG8COM3NWIdFBYSg1AisJYznsfajQNL1BK/sJl3BEXAqXqOYWRhmAlRVhVRgrTU/k8HWdDdxEdRNRfSOgxQLjSDWdZFCI4Mtnot6qfVdF1LL6jnRmO46z8l2DU8F4ePOiZ2WD6SbWDjOHL3k928cFlgbY4wxcyWewqVpm1MoHBHc6tTrGtNqkxX9mQf+HjgNePpAX89IqxuzpMSBurrR3NFhvSt4EBUME6cRSAdFQcI40AzBLbjJGGutBUh6zLQIKun+2JoJpjNBdvx65r3xVwAcP5OolCBAtBFoE2a3Lepmbz5oao5tJz//NtmMdS6jHQ0uT5c3J8PGW88fFlgbY4wxc0Rdpba6edGF+MIpP6xSuHtz07ZpzGzZcqjc6iaMq7u3/2LgL4CPD/T1/KzFzVkYml28rKDggB82bsBEU201AmmnBhI4yTzCXkmQsBHcep6TCWwckWwzgwDCRlQahhr1L69LZ7dFED8VTLsuUkt1Ky940RjumHgu4nnZ19NZ6dDLjhX3GoXUhOwYbBEZm8F2Jtnhc9k13IL4+dMVXJd14D/+kqZtT1Qp7B3BGZmfJ2pj0mRbsdVNoCABa4uHmra9mrp8e+eF7Bnqato2jZkth6o3t7oJkWZO3qMwuKFEl3RT3HkkW7jHmPnmiDv1OnOsu7ffI+oCvgd4W4ubs3RJPWMtyfzQEghhkSSQVgeCtsYyInjtqQx14OJUU921/TDqHg5Rxtj3k7hQVZEgTNK9GioQZrLWGqYz2NkK44QKYSrjHUqjOjlEAXw6GA7CbKCdH++dGXStY4PldPfjyYLs8VgwPGfmNLBe372Xf/nER5q2vcGwjddc/yq8zauatk1jZkvlw4WpV5plx7lVXrW8eZmt3UGF//nC81j7nYebtk1jZsvAPn/qlWaZ+EJxf/OCi9CDp73lep6+7F7e8MNX0bHVOqKZ+av6ydb/HRzHG4GLgd8d6Os51OK2LAgntHfyric+q2nbqwQ+A0MHGQ1qEEjm5qNUGxlqCcEtS9IV2gnAG2ms7FbBG21koL3RAKk0gl+nXIV61lmBaiUJWFU1KnSWjnfT2WxxkHRA6zjR9F3Jh+cy1K6bDYBzy5kx1uMsZ7uGT1EZ3IqZzZkDB4a46c6JX5/Tv8CdIlxSal7WrqIVLtq4lbuLa6nsa8ep2Gh+M3+NmcOwBRyEkjTvwmaZ1Bg8Dbou3UjHjY8Q7NvftG0b02yqrQ+sIZVtadK2dpaXs6XtOFatP8zhZR0AhL5DYVcRp9a8zzJmpubD38G07t7+E4B/AL4LfLXFzVkwHBE6Cs27lji+vYP1y5ezc2SQhw/tZzSIz9UhaCGEsJ5VlkxlbmpCUEoHlYqE6axwNtDRXHdsaFQRF42m9dJUV/H650YrZLtni+NMI6Cd4vX61F25bUdV0mXcdcfd9DgfY1N0zQ51J/+5L+hb2yUp8JlTv8vOU6o894Y/xt/R0eomGbOkrHI7+Pkr/43bfnc17/nTV1L8vgXWxswlx4cbfvYYftF+Hu+88ms8v3MLAHfVOnj1915Hcf88i2SMmV/eBnQAbx3o62nmII1FbffwEH/x0+81bXudhQKPO2UtF5xwEsd1tXHvoV3cvHcLg7UKQeAkWWQNBR31kmWpOhSGGhlub0QoDDW2WxhUisONH2vxSIA32gjavcEKUq1nsBUZKTem61JFq7Vs1jrdfVskykLXFz0P0lXAC162anjBa4yjltyc2JIdc60CuNIIjvMZa8kVLHNk6krik7DiZ0dnsv21oANrgA6nyImEXLhuOw+1Hw9A1fcY2dGF1Ow3xZjZtsbtZFNxP9uf5rFqzRMBKIyELP/RfQSHDre4dcYsfk4NEOGHBzZxOOgEYJ/fxYr1hxk9IcoqVcsFCltL870qszFzpru3fy3wp8DnB/p67m11e5ay4VqNq3c8wu0Ht/CEk9ax6bi1POa4NdxzMAqwh/wKAGEo+NAYF+0pfmrSa3WzAaiKZObEBpewEL9eD8796BwpQYgbz10dva6I52bHNoe57kbp4NVzM4G15oqXZabfcuLldOBcSK3rSPSobz5ebnxfjMlYj8lQTxICzbeeIwvNZPtvwQfWAF1OG5899fsE3dEv/701ePGRN8DBeTmWx5hFZ73Xxc2v+A9q8Z3drw2exbceehrcYYG1MXPBqcLNPz2Xm+RcAGqrAj736x/lomKUjfnOyAm8Y/fv4Y22spXGzCt/ChSIuoKboyJI0LzklYqCwEhQ4foD93Hv0MNctLqbC49fy0Vrjue+w9u54+CjDPk1/I5GVFP1PSqdhWRYdK3s4S9rRNL+kEN1JK68rVDrFLxyI7AudTq41foc2ErxSCGZo1h8xRmpNQqShSFSy92ZTAfduS7C+XmsteRmAumw6CbBr4pEAX86g+02ptxSJ9s1XB2ytc7Gmwd7gh/PMWWnLU+ZMaabfsqiCKwh6hZe/8Gf7A7x2NO2sGdkGQBHyiWGtixv6knAGJO1wmlP/n9x+wDvfdEL6HjykwBo3x+y4pt3EJatgr8xs0WCxvWPO+Lw33uexintBwDYX+1ixTn78YPoonPwSDuFzaXMXKrGLDHPAX4x0NfzUKsbsuDEBbSbRaTRndsVZTQsc92++7jr8KNcdsJ6Lli9jk2rTuT+I9v45aEBRoNo9oNaWGPEbQS7o16BqldI2lhzPcJ6JlhBxSFoawTaAE7cu1XCKGBy/HpFcsUrOElgLb7iVINGd3DVsfsgPbzbdTIFyMKCm7yuIoSeJK+rEy+nAunQy3b9Dt1JAmtnbFfxtLHdxJmUdQ2fwmLuCj6etV4XXz39B8nyVaPtvGHXq5BR+00xZi48vlTgl3/wgWT5L3c+iYevPo5w564WtsqYpcMbFq770Saui5er66pc/cz3s9aNboC97+BZfHzbs5H5Uc/NmDnV3dt/PHAR8LetbsuCFTb5mjqO5jw3pOhFJyafGncP3s7W0V/xmBVncvFx67jkuBN4ZGiA+wcfZjSsUu1oZKiHayWGao0iyYdH2imXG71Xy11FnHIj0PbbHZx4hkKpL9fn0PahOOQ0AnBfcVMVxyXQJAhPnktP1eVIJtgdk5H2pNGlWCDIvR56ZDLa6S7tUQY7u5wPtLO7ViYOBmf4Y1yKQbhOMrHHogysAVxp/FZt9A5y0XmPMuJHB9uOI8sZHljR3LlEjTEZ6erjT1t+Pz/445fhjZwGwIpHQ5Z95ebMHJDGmOZKVx+XIY+/2f5cVhaivuAHqp2ccPHu5PWdu1dS3Fya6yYa0yqXx19/0tJWLGDNnN0AicZPhyqZ3tUAngTUGOKOw7fz8PB9XLLqVM5feQqPWbGOgeFHeGDoQaphFB13FSp01hrnsaIbMFRsLB8WxW+PoiINhaoUcKpxZBhGAWg6sFbPaUzt5UOh6CQZaycAp5qa5zrUsXFFOth1s4F06KXGUIsQeo0gNcpgp97rxMHcdLuGpwPrfKGzXLvgKIPjJRhI5y3q4mXTcW6xg2+ccVWy/NFD6/iXLc+zruHGzJEXdR3hRa9pzGH/1Lt+C+ebBcKyBdbGzIXiQYebrnpMckHgnjvILZd9kg4nuuH8um1P5OrNj21dA42ZW5VWN2BBU5pbCFGIAttxsuBtro9Xj3Y5xJbha9hf6eS0zk1csGIDF644kR2j97N95D5GQ59y2Lipf6jWwRG/EVjvbl+eZLSD0OFAWyeBH0WhGjiUS4Xk+3L8aCqvRpdx8IdB4pOoUyMZnx2tn7vZoJq8tz4GuhFIQ5gOlEUIC2RfT5WJygfaOPH7U8uZDHZujPV4xc7SpgysLVzKWPTFy47Wxe0DXHbJA/jxnrlnz0mMbl7W4lYZs3S8cP3tfPjvn5P8AVtzW0jn125sbaOMWQLqF3qj+zr4g81X4sVXguXAo/vyLcl69w+spbTNCoCaRWtb/HV9S1uxgEkTu4KrAIGggeAHLjWnPuA6wFcHJ+liHVBwAvzwMA8M/oK95XbOWXY2Z3SexWkdp7K7fC+7Rn9FoFEGe4U3wlDQlnxOu1tjsBYthwieEzJai0KhMHQ47HQQxoF2UBPU8TIZ67DQGAvu1MgUg3T8eIaG9P5JZ7BzuysbWIPmMtaazli72UBa3XG6gk/QNTwKqjUbPI/z/0mDawussyywznp8qcAXTv1psvyXHRfxjc1PaGGLjFla3rxqgDe/opHBPu3k13Dm11rYIGOWmNIelzt+fHayvOYJu7jm/P9Nlq+kh4Ftp7SiacbMha3x1/Na2oqFqunFy4BQ0MAhCB38oBG5RN3DJfl/QQIK8V150WEOjDzCaHUFa9ov4ayuszmrcyMHK3dysPJLKuFhqqkBscd7KxkJ44y1OizzKgzHw0R9ddhSWEXVj9av+h7DhfbG91lzogJk9Zi/CkGpEXG6VZLx2hCNyc5msLPfczb4lTFdvcNcYJ0JpN3sOF91dczrk465dnKNyWe3J3jNRCxjPYWeFXdy5MmNO1o/33I6la1dLWyRMUvL7z32Jr7w4Scly+t/qLR/66YWtsiYpWXrtuN4bvG5yXKHV+Wxz7wfiC5mb77nNEq77JLBLA4DfT2Hunv7fwj8eXdv/0cH+nqssuZRiJOgzd1mIKgv1GqNiDEIQ0b8Ir7T6HdeDgsEcR2lggQ4ElIJDrJ16EcMFbpY334hJ3dcxEnt53G4fAdHKnegRBFvp1OhXA+sEdqcWhJol8MCnoRU49TwiF9kuxMmQX2l4lFzS0mAHFQcvGLqBkBZcFIDDBxfcNLFIcOJ91k0vVZq2SGbsRbGZrA9zSynA+IosK5P1D3eGOxUQ8abmmtMV/Gj+GEvhUB8kv1hfyWBK9pDrlh/fbL8O9UObt16ZgtbZMzS8q41d/Gu37orWT7r8Bs49VstbJAxS0xpe4FHtm9Mli/9tXv5XPfPAKhpwCX7Xk5118rWNM6Y2fFG4C7gX4FXtLgtC08zA2sFAoFACPxGhBm6wqhfSKaaciSkEnqEcfXsNida140bo8EeKqP/S1Bdw7LSZZzccQnr2s9jtHIzo9XbWemUk0A5QDKBdlkLFCSgEqeKR8Iijih+GAXPQ9US+xxF4/fXKh41rxFGhQUHp5jKYJezgbXjk91n+f2X68odTaHVeC2bwdZcxjobLKe7lSMabTvJjuvYrsz5QHGS8djjrr/ULPXiZUfrD066llOv2A9Ed+q/ed+FhLvbpniXMaZZrnz2LXxn/cXRQiic+hnwfnJraxtlzBJy3QOn89TBVcnyeSfsZvVzHgVgyC9y7W3nUtw/SX84Y+a5gb6eB7p7+/8V+Ovu3v7vD/T1fL7VbVowtPlVwR0fQhGCqoPG2w5ch6FKiaoXRZG10OVAtTMpZhbgsMrrxI37a7sSUmWEarCPkZHvsKq6mtVtl7Gi/XKWlS6hWr2ZavUOoEYItMlBanG/3ioOBfGpxanh4bBEQQJqcQR7uNZOwQ2SwPpIucSg1558C37RIyynbgoUnMyYa7cijX1W338TxafjZbDTgbOTy1A7ua7gjubm1NZsMOiMs5z67HTgLGOy2dMIqhd71tq6gh+dKzsqXNlxBwCBhly/51R27kkF1kv8Ro0xs+0DJ9/MB06+GYCK1rjsljdx4jXR6UpDtWm6jJllxS1F9mw5CYgu4p7+/Af4f8dHvUr2h6M88eHT0YONv4tNvcg2Zu78M/BU4HPdvf0bgXcP9PXYVd50NHsvhYIEoDUnySpLGFKuecmY6yB0GPRLSdFFVzTpyg3QGVaSQBjAD3ZTHf1f/MpJlNqezPK2p+GUHk9QvYVq7Q7apEqg9SAdYF/y/uGwRKiSBNoHvE5qqQpi+7zOTPOHnBI1p9GWUEArqQhTUpXUFZyaZGPUXKGzyeapHtN9W8gGe7lAfEwg7WYDackE1tl1JbccPcf0LcrstnUFP2auOLzt9O9z77p1AAwGbXzhl49D9heneKcxphk8XC59xZ3c8MyzACiPFjn9vQF6811TvNMY0xQKn73zCfzfyk0AuI7yjDMf4MRNRwDYWV7Bz67fRGFwsacpzGIz0Ncz0t3b/yzgE8A/AWd29/a/bqCvpzrFW00zaTQvdIggVQcN4q7djjBaKOI4USBd9V32Frpw4mCtHHi0O9VkuaZuUtgMAO8QroxCsBuGv8HqwsksK12O1/ZU3OKllKq3ENbuAnxCQlwq1JPMZR3FlZAgjnAPFTooSEAYR5l7istocxt9vfcWOzlcbGSwR7wSYdFNvj913UbXcI0y0ukMtjPZFMDjBaf5oDy3XJ8WbNzx0ZmgXDPBdD6QlnwGO7+pqQLnRRhYT3ZjwQLraXhB5wgv6HwQgMPhKN9adj7DhxrTkNh82MbMHlccPr7hF7DhFwA8Whvi5f/7Fpbf1ciWhZUK6OI7eRszH4hCcaDECNF8sEEJLnvBNbx8eVRY+d5qyE86ziUc9ZL1mzrHrTGzaKCvp9Ld2/8K4CHgncAZ3b39rx3o67m3xU2b15odL2kYJ2L91DRVjhBWXTQeY61h1DXcdRpdZA4VO5LAuuT4HHI7ktc6nQqdUos3pdT87dTCryPuOrziEym2PR2n9ASo3UpQ/SWOUyGMu5XXNKTmDhHEoWRnWKFcLBDSKJxWSQ18DmlULwcIAodqPROsEIZC6EiyLKEkXd5FIURzGexJYgtlbIQ7wc9DVOLLo0Yxs7Er5RZzgXdmsR6Ij7eZaYZDUwbjC9i0A2sRcYFbgO2q+jwRORX4EnAccCvwClVd9Hf4OqRI3/nfYPs5qwHYWV3Jp256Ms6QO8U7jZkZOwYjJ7pFLnzbndz72hMB2HFgBaf/zRDBg4+0uGVmsbNjMOLU4J9uei7/1hFdsBYLPi99/I2sKUYZ7DsHN3Dt1ZtwK5NtxZj5I+7+/Xfdvf0PAh8Cftnd2/8h4O8H+noOtbRxTTZfz2NSr5pdFbQeoTlK4LioRNfYoRdy2GlLAriRUgFHFCcOGof9YqYreFkLlAuNRFjo7aesNQg2Q3Uzxxc30l56ClK8HAoX0la9Fa3dA0RTep1IYzcMyggU9yTLy5xyJjve7tbo8KL1QxVcUYaLxWR5SCCsNjLYgaQScyG4Io38gIIEjUBbhUzgPGbojS/EhdLjeatzU0KJNqJeIer3nlQNl7FTc2k6Qy1J1jtZLR30TxEkL+YgejxHk7F+E3AvsDxefg/wXlX9koh8FHgN8JGJ3rxYFMSlp6MM7ADg4doDfK7z8QTV+Dc4jO+2GdN8dgwCHU6R/1x3A0SjM/j+SIl/W/8yivuiQkvq+4RDQ5bBNrPBjkGii7ri5hIaZ7AHVyhXbLqXJ7RFgfWPCge4uuO85MpOlEwRH2Pmq4G+ns/H03C9i+h4f1l3b/9fA58c6OtZLP0w5ud5LO7OLAGNCC6MuobXi2upOvhVLxOsDRZLyf9FlE6vEQx3OFXapHHyWemMJNltF6Xib0GCLyHuKRSKT6JQejpO8XFQvRlqv6IjHRQ6NVZrOekKHnhHGE6N7x4Ji1RTGeyhWimJhUMVypUC9ThaQwirTmNcdACaytRLPE94Zth1akHJBdcOjey3MHaO8bARPGu9q3cq0E6Px5Zct3JNrRolvmXCYFlT8ftSNa3AWkTWAz1E40/+QkQEeAbwe/Eqnwb+jiVwQZG33ivx4cd/nkNh1PXkjuGNfPH6y3AqVi3VNI8dgxN7QukgF/7bHewsrwDgpoEzOOvN2wj27m1xy8xiYsfgxLxh4XU/fyVuMbqa6+ws8+fP+D4r3GEAvrv/Am7/2dnWPdwsCAN9PXuB13X39n8U+ADwMeD13b39fw98Z6CvZ8GW6pvP5zEJ44jMT3U9FqLsaNyFWh0lUC9JmFY9j/2BkwR6I9UClaAR2gz7RY60NYaNlbXACV50A9BFKRf2scypQfAobvUR1hRPo1h6Ek7pqVC4iGL1FtS/FwjpAI5za9SjzoIMQ6rcUlECOpxson9fISpwFqqgKoxWC8nycChoXJSNQAi0UTVcAnDCRoQqIVFwXF/Ox7WqjYBWQFUySeUw1XVcRNBCusK4ZtLb6mhURby+OUfR9Gc7iqSj51xX8XzjJuvRHrVn8tcXmulmrN8HvA1YFi8fBxxS1fow/G0k+aMsEXkt8FqAU9YtviHdJSnw7I4acBiAdd4dfKnzUkInHmsWCFJdZL81phXehx2D41rldvDva29Llv952dlcc8qleMXoD5iWywT7D7SqeWbxeB9NOAa9FavGW2VBc3wobW1cYR45yeMJFz7Ehrgv+M7aKm7uOCsJrB1fcBZ9h3mz0A309dze3dv/VOAlwLuBbwH3xFN0fWGBFjh7H006j00VMB0NSWVqJcgGhY5oko3FEZxqIwgMNSSoprp+i3LEbWSwS25HMjUXwHKvnPzfJWSlO5yMoS4S0lF7hIL/KK57Km1tl1NseyZO+DjC6o24/j2UUqW3OyRguTTGu4y4IwyHjc9e6Y0kVcRDFQ4Wq8kNAD9wKRdCwnom3nHAdVLxrWSrfOenmc4H1qFknlQhE2hLkHq93k28HmjngvDks+pZapVG1XCJg+zUttJdxZMPT7eVyekim2ppyqtsEXkesEdVbxWRK472A1T1Y0R3+7j0wrbFtffGcWGxyqee8knKYXRR/51Dj+U7111sBc7MMbNj8Oj8/spbqX3SZSiI/sB97dZLOeeNI4Tl8hTvNGZ8zTwG29ZtWPTHYOGAx+/+6I+TKV2OX3OEf+n5AgWJrt3/c+vTGbj2lFY20Zhpicdef7G7t/9rwO8AfwX8D/CP3b397wU+PtDXM9jKNk7XfD6PqYATz+ssYTYYS2dLEQhS/QWcikuQGn5ZqzgcqjUC7UqtwOFKI2M94hc5rhT1pHFFKWuBZU50bVAQn9OLe2gTH/xtFKpfYG1xI22lJ+GWnoEWLsKt3kjg3wcoRRFWu41u5gGDOKk+2DV16YpvLoYINXUYqkXXJdUwmkKsFkRtDQKHciBJVlp9QUInVW9McINs8JruASSpfyHbnV4FxNPGuHXJ3bxwlDAdo7gaTWua2ng6g42jjfeKjq0a7uTvAshkiwuyavhkIw2nk756MvACEXku0EY0JuP9wEoR8eK7XOuB7TNv6sLX5bTx1DYgLth/KHyA/1t2AVr/pa05OGXrJm6Oih2DR2Gt18U7T7gnWd563ioOn30q7micXDg8SLB7zwTvNmZcdgweBacKpZ2Ny4uDpU5OL+ylI55rZmPXAR5YsSF53R0V3IWY+zNLxkBfTw34fHdv/xeAK4kC7H8H/qa7t/8jwEcG+nq2tbKN09Dc81gz80Wpol35qaMycZdE8z/Xn1QFrTjJcihO0mMUoOxqkiUW0cx0WI4oK73lVLwoEVaQgOO8oWRMdpvU6Kw9zKj/MAXvDNpLT6Kt7Urc8PHUKjfg+PdRSDW0TQI6nUYGe6U7QhCnnUN1WO41XquGAW3FGo4fVyB3XCpeoXETQZ1M8TEJGbM8Zv9lY+Ek+K0H3fX9UC9ulghzY6ZzGedo/HW6uhnJmHeQsXNs56Xvi4hmg9J0Q6dhIXQbnzKwVtW3A28HiO9wvVVVXyYiXwV+m6iS4KuIusiYnF/v2MXpV3wk6WrygZ3P4vobz2lxq8xCYsfgzPzLhm/zf188N6kU+qHvXcnpb7XA2kyfHYMzI1vb+K0fvDFZ7j59N596/kdx4+zOW+9/MQdvXtOq5hkzbXEG+3vA97p7+59AFGC/Hfir7t7+bwIfBn4WrzevzOvzWK4rsqQD7RzXJ4mw1IkKI9azsWFVCSuNjQU1YWi0EepUqx77StG4ZxGlHBToigNezwkohwXa4kqLHU6F4eIeihJAbQ9t5a+yrrSB9rYn4rY9Bwkfj1O5jpr/ABAF1itTgXXZO5JsK1CHkbYig0GUPa+EHtXApRxEQf2oX8D3XcI4sPZrHkEqU6+O0xiDDoSqmTHYTpDbV7msPz6ZjLWmst3qaNxVPF4W0FR0qK5kM9Zuqut3PUhPd0N3ssvpLu1K7jWmCJbz47UnWXVOTXIzYCYDLv8K+JKIvAu4HfjEDLa1aK1w2rmkMeSCi5dv4brVpyU/FC27OKOWwTbHxI7BaTjF6+JPVm5Nlj9z1kHkksckVTPdXfvxd+5qUevMAmfH4DS4VXD3NLpn7j+pgzap4caXSSd0DLPr+OhKT1RwhxybqsvMewN9PTcCL+zu7T8VeD3wh8CLiMZhfwj43ALpJn7057F81rOJ8lWp88tRljP+fyq+S/6XTq5WUp2zBWoVD42vv0WUQ6V2qoXo3OQ5IXuKy5ICZB1ukZXuSDKlVqdToa36KE7tEdoKZ7Oi9HjaO55PMdhHuXI91B5Ipv2CKOMdxHNgheLQ5TaGo7U5Lh1eLalQ7ohSKvgE9dhAhcBzGwGcp6iT+i6nyBLnM9rqjIlRG+/PVfkWh6TyefQ62SrhSjK1V1JRPNU2wlxpcCX74blIekyMOkn2fCEQncMpaS69sE1v+sGGqVdcxA6Ho+wOwuTgecujv839d9hYs6Vgx7+/j8qWrS09S9gxCI/WhrizehJB3K/qbz/9cjb803UtbpWZCzfqjzmiB1p6DLat26CnvOHPW9mElguKEHQ2rvwuvegh3rn+OwDU1OH3bn0N4T3LJnq7WcC2fOS9lLe39u/gbOnu7W8nKnT2p8DFwCDwKeBDA309D7SwaU3Xtn6Drv/T5p7HnFpUFVv8bGCYz8amX8t3a1YXwsY9PMIihMXGm/3OEE0te8ureIUocHbdkLUrjlByoyErHV6VMzr3UoiLn3W5ZU4r7sWNG9AhVda3rWNF2xPwnNX44R7K5V9Q9R8GYES9zJza2/1VyfRcNfV4uLyGkXh5NCjwyODx+GF0XTJaK3DgcGdyE8CvuMhQIxfqlB1ScTpuVRC/sez4jL05kd5n6SyyEz+SMdcQZjLWSurbQN3s9FzRcuN1XM3+TNJjrscLoqfZjfyozeLY7V3/8EEqA9vGbd3iKxE8z61w2lmR+gU8f+UOHjgx7gKnQnCkYGOwjZlFpxa6OLUwlCz/5dllwqddFC2EUHxwB/6u3S1qnTGLn1sFN1XZd9fwcnYFXUDUZXJ11wjb18ZjIUPwDno2BtvMewN9PaPA/3T39n8KeAJRgP164I3dvf3fIxrPfNVCnq5rVkluLO94Jht/HXPy2e3UNh3PSQpzqUQBa737teMog20lRp2oe3al4LG/2Ikbf0jNc9nvjiZDWAJ3hH3VR9lXHaCzcBYntF/Kss7fpBbsYah8HdQ246TuArSlpkKoaUCXW0mCdpeQTq+KH0eoqoJXCJLAOgyFsKDJ966uol6973ackU7vunRWH8buM02Nwc5l/VWzBcnDMRuDMWXE04E7Qr5qeONt+UBaxvbvzk/YnVt92lqU7bbAusXeccL1vPG4a4GoZ+rv3P1q9t5/fGsbZcwS8rMrPsDWy6N56Gvq8Zb3vI7jP2aBtTFzZeftJ/HaX/1RtCDwm0+9iTed9xkADgQFXnjNG3A3lybZgjHzRzy++gbghu7e/rcCrwPeAHwfuL+7t/+DwKcH+nqGJtnM/NfkuKWeSRVpZEDHC5zHdBVPZ7BT1bAhytxqNb0shF4joqwFBdSLNha4sDcQnHg8sesFVHwP14k+YFmxwlBQSrpvH18YYrAYVxyvHmRl+dusb9vAyrbH09b+YgrFHQxVrqfsDwDQKVXa4iriNfU4sXA4yWiPuCUqYYFa/I0PFtrww0bH8sFCieHU9xxKgXT4GzWpEWhLmB2nLiET3pAYN4OdylCLH42zTl73slno0JPM+0MX8r0Ikqm9kLEZ7NwNgUnj4aP9nZut2HqGVcHNLEpnsAMNOf+4nVy7PrpTH4ZCdX8bTsUy2MbMllO8Lk6Jz4Q1rXHw/JCu5z0eAAmUjlsGCPbubWELjVncogx2PLZQ4P7BE7lhWTSV7khYYtXqIQ7Wrxl9h8Kegs2DbRaEgb6eXcDfd/f29wEvBt4EfAj4p+7e/k8C/7EAqonPrVyCVGWc+ChJrzJhwNjYQOM94qcLWkezESRTTTlKUPQI48A6LAiD5RJOHFgHocOBQmcmC92ROxE55QF2lLewunQmJ7U/llWdv0XF38Xh8g0Q7kjqSgSEtDk1Ctrov93pVQjrGWp16CxUk7HOtcClXGhUHAuLLpqaZiysSTS2Od4HWmsEu0lHgEky2Jkkf24fOsCYLhapQFtyG4g6CTQKpY2ZXzuTwc59oIDkq5nlkuNpOlV37xZUO7PAeh5xxeG9635M7eSrADgUhvTc/HoqW7ta3DJjloaCuPziN/6dwRdEZ/KB2kre9Zbfp/1bFlgbMxdE4YEbuvlrpxuIxkf+5bP/j99eFg1Rvb/Wzst/8HpKe91JtmLM/DLQ11MBPtfd2/954DLgz4A3An/c3dv/X8C74yB84Wh2NjAuhKUiSXEsrQfO9Z7FYRycTRRMT5LNhnr2NbUcSLKsjsTL9cDa5XDgJJH4YNGnFjYSXavaRhnuaPSkObF0hLXFaHlrbR/bR7/NuvaNHNd+Ccs7X0yHv43D5Rsp+9soSsBKdzip9dLm1Kipl8wg1OVGQXY9sG73OjPfxxFHqUgxWQ7UQx0n2R8SQjxrWLQcpH5cOs5+CdIL+arhIOkx1l6jR4FKvA/TU4F5mllOuqwT/3jS+1+yRdnyGexJC5sxThA+V2apKriZBV1OYyL7klS5YO0O7vVOBMAPHEZ3dSHVRVn3w5h5Ya3Xxdr4/6udQ+x6ostxnZcB4JWVZT99gODgwdY10JhFLp0EkkC45uBZyfIBv4uVJx9heGV0AetXXbztJRw/vxVj5p+4m/j1wPXdvf1vB/4W+BPgj7p7+z8M/MtAX8/SvJNbz6pKJskMpOIYibuKp9+SjssUJF2UOZP5lkwXaZW4q3iYWi40uj1LIPhFN3mDHwqDxbakgrYjmnTtBig4QVJBHKJx0zr6KNtHt7CqdBYbOjexpuuFjNZ2cKB8I/i7k0JoRQJKTi3JWNfcCp2pea8rgUdnsRHEV2oevt+IUIOKS5jKWIdVcJIK42TPj/mh7Ll9psjYebLTUtlvIcpmS2ofIpJb1sZ47vobkm3lUum5ruCSD7Tzd3MmS7W3iAXW81iHU+TT3T8g2Bj9sjzkh/zmNX8M+4tTvNMY0wzHu53c/PL/oBL/5f3+8EY+/8rnwE0WWBszF5wa3HL1Odwi5wDgLwv56JWf5Elt0SxGPxldzV98+5U4vt1wNgvLQF/PAPCa7t7+dwP/D/gL4PXdvf0fAPrm81RducRwc9SD5tTUUKpE467ry3EF6+TDw3GKduUa2qijpRDkArew0c88+lxJXlePaMBwvByWlOHUfM+VcoGq3wijRvwiQ+2N6/NKm8dgIUqWba/tYnf5Yda1n8YJ7RdxfNeLWe5v4eDojZSDXSA+K93h5L1tYY2w1Ej7lnJ3Dh3RZOw3wJH69FxEhc/80E1uUEYZa0myzhLGGexUL4D0D9MJsz/ZfOX1MMxlqMNsVfAwbKyvQlKALVn2sl3DyWes06Nf88XOxmSwJ1yYvfHVU7DAep4rSSH55TjJHeax3VvZecJyAIYrRYa2LI8mdjfGzIoVTnvy/8e2beOfn9dF50VPBKB0SFnxf78kHBlpVfOMWfTS15TOqMMX913GLR17ANhTW8byMw9SC6KrxuHBNgpbSpNnXIyZRwb6eh4CXhkH2O8E3gG8qLu3/7cH+nrubm3r5lg9wxlf+Er8TyaDnQr0lNxUT0om0pb8lMKpQBuJu0DXs6khaC3VzVmj+g9JXKiCFtxkXG+NAkNe40TjOmFS2Ayg5AQEcZToElKQgOrIowyMbOHE9rM4peM8Tl72IoZr29gzeitu2OioUJAgM367y62wsjiaLJcDLznnhSqUSzUqqWJlWnUIU99XWJTkPKohOC6NCuMCbrrrN9mu4gKZwDsdlAPR56RfT8+xLYCfW06HLOPNx53LaGcz2NlAe9KbO/nM/ByxwHoBWeN28tXTf0AY/yr9olzg93e/BhmxsWbGzIULim3c+ZoPEMR/rP953yXcfkM34WYLrI2ZC94oXPejTVwXXzBVT6zxg2e9n1O9KDP00UOn8cHtz7XA2iw4A3099wIv6e7t/wjwJeCm7t7+1w309Xy2xU2bG/UAWuLsMuNkNMPsPNUija7c0RumGHOdW3bDXPY0VSlNnSijXQ/sQg9EneT1oOJQTiW2/JpLpdYIq4LQYbAt6r7toAQ4LIsnn97rb2Nf+T7Wtp/NCW0XsH7Ziyj7A+wfvYlyEN00XO01isYXxE+6jde35znZk9ygV0q+5aFQCCvxjgqjseNhHDxLEH1f9c1JAE7QuHshoU66Dx3NZZHT+ywe/57uuh8WGstClMFOdw0P0zc/0hnrfBAO2d+FZB0d+1y67bPBqoIvHq441M8pG7wjXHTuAIerUUZt71AnwwMrWlIFz5ilIt2L5IldD/K111xO4cgGAJZtC1n+tVtQ3wZ8GjNbMtmUYY9377yS1YWoG+XeaherL9ybjFXct38ZxQGbqsssHAN9PVd39/ZfDHwR+Ex3b/+TgTfFBdAWr1Qwlhk6m+r6HQW7jWUkm7EWjbuP10V9kTOfkQnNcjGdBOkIUnBqqaBQQcvZDajbCLR9x2NYSsnKB732pPiYg9Lu1qgUorDLJaTk1BgafpiHhzezruNMNnacw/rlL2awupndo7dS8w8kn1OQgC63TBh/s8u9USphI4QbKjXOcQpUKgX8uOiahkJQFcRvjB13qo3zqDgQ+o194QSSzPUNjC10lr9ZEaQCbZFsQCzR9uudCFSA9JRoThzU19vuZAMYdUgK2UXfC5n9L8lG0138WxsEWWC9gJ1e6OIbZ1yVLH/qyBr+YetvJQePMWZ29XSUufI1H06Wn//A89D+dnRw3g6NM2ZRKR4WrrtqU7KsZw5z8+X/lQzheMvOi/nO5ifMl7o2xkzLQF/Pzu7e/l8D/hHoBfYDf93aVuU0+1Iz3d9bGs+lx/iK5rp+h4CbXcxMUKtkBlWLZqeGyv/fSQduonH2NQ7c3Oz6UhNIVQkPAqGWuv4+pEI5zmALUTfmrnjMteeEeE405RbAwSOb2V++l5Paz2FN2yZOXX4qo7VH2DN6C5VgP51OJZuxlpCCk5p+S4UOr5r8vxa4yWcHgcOI7zSm5woEJ3CTSuDiC06Q+t58SPqRE90UyFQNzwXaTqrLtYqiqX2W6QJO9KNI7+LMePnoG8v8PMn/vHKzD2vqsxvTimXHdM81C6wXkfNL23j8xQ9SjcddPHTgeIYfXdHiVhmzuLmp26kvOPFO/uOvX5BMc3Hc3cqyL9/QopYZszSkg+bqwTbesPm5lNyo18hgrcQpT2pME/zw1jUUt1gBUDP/DfT1+MDbu3v7zySalmteFzSbqfrwaM1lJNVpdE1WZExwNWZu4/SyO8lrjM2+Zrancbfperd0Ba1KNlgczadPGx9Y8wqEceAtohwodFD2C1GznJBOt5qcp4qOT5tT4/DQgzw0PMD69rM4tfNMNi4/jcPVAXaP3kYQNDLYbVJjhdsYcz1SLCbju0MVhttKDLvRec4PHaqVQjJfd+g7BFUnCZCdGji1dNaYqChcvB9CJOr+Xf82c8XOMtOh1W+CpE7Kku6+7USxc7oXQCZOH3MDVNDUk7m4OdubIf9WWjLE2gLrxeSSUpEvnfqTZPmdex/D5x59SgtbZMzS8vqV23n9Kz+SLJ91zStZ9hUZ+9fcGDMrSntdbvvxOcny8kv2cdNFX02Wf9P7de7bclormmbMsfpX4EXAa4D3tbYpcyBXnCoTbKsi6Yxk8k/qPROVHVLiOZMn6eac62YufioIDKPPTzKkgWSjQpVGZlegJh5BLb4LIMohp53RUhRYO6KUXD+ZrqvoRsXK6sHxoP8Qhyt3sabtPNa0b+LMFd0MVx9kT/k2KsFBlrnlzNRetYKbVA4PVaiEHp2F6LOqoUfVd5NiZ7WaS6XmJFlprQmO76S620smQ+1I9uZl+maEpG5C1L/v1JcxQbY6EmWsU+PY8x0Q8tI/7xDNVIGvj8lPf+acXG3ZGOul6ZnLfsW2J65KxnjcuG0jla1dLW6VMUvHy869hU+/76nJ35V1Pwtp/+ZNrW2UMUvI3h0reUHXlTjxlZAjIZue/iAQXYDe/sBGSjsKrWyiMZMa6Ou5sbu3/x7gd1nkgXVS1Hu8buH1dZxGdSzJdSVWssGZk8tIa/IBkVA1G1zr2CynpDKiTrpLNJrZViadKlGAHwROslzzigS1KLgVV9lX6KQYl+MueT7tbg0vbkynV6Hg+OwdepD7hzdzWueZnNJxJt2FMzhUfZRdI7dRkMPJR3elAu0AYSQsMuxG4659dRj1C1TiqcGqRZcDvovGgXVYcfH9xsB214uKmzV2Yja4BW1UGIcou53eX6n9qUK2G7kqTmqfqTP25xXmI9P0sHdSVcIb86hltpcO6luR07DAehF7ahs89ZRrk+VXqvCLree1sEXGLC3vPOEe3vnie5LlM4LXc/o3W9ceY5aa0k6PB3aemixvevqDfO30HwEQaMhlR17C4I7jWtU8Y6bU3dt/BnAu0NfqtsyZdLA0XuyajnbTY6jrz9XfO05X8HQ35Ew6VqOgMFM4LV0ocUx1bHKRW77qmiB+46Wa5xLWM9iOcsRrw4un6yq4Ae1eI7AeLRQyGezq4L0cLN/Jie2bWNN2HuesPJXB6oPsGb2daniYTqdCWzwGLcChUijQ5Ua17mrqMhoUkm7o5cCjXPOSbupVz6VWS+WNHafRbmgMjE4vp77v/M2LMVXYyS6H6bsXKtl5yMllsL3s9lTS9zKiOzCZmD8b/2cKnzXTZF3MLbBeQn7vhBtZ/dTGtEDfffA8gp0dLWyRMUvL8664hW994tJoQaH7q1D8wS2tbZQxS8itD23k6eXfSJZPXbmfZc/eAUAl9PjFnWdR2mtTWJp55S1ADfhgqxsyq+JMdaoeVeP5mDLOuNqjCJ7CVJJZqQeFjSc0VSxr0vHXREG3kw5AM/NMRe2SoFGxWl2H0IvHaztQ8UpU3ShidQohe7wAN55Ca7BQyhQnW1EYBQ6zu/YAhcHNnNF1Bhs6zuC04lkcqDwUB9hHACgAK9zRZB7smrqMlgpJRfLRoEAl8AjiwHq4UOBw4Caxcui5+NoID9WBMdGvZCPYdCZf0oXQyAbXGmZ/XOpkf9qqY7PM6Zsjjk+2eF29Cvl4HyaMqSI+FyywXkKu7KhwZUd0ER9oyF0HT2ZgVyqwtmGgxsyq9629hfetjY7BmgZcfN8bOfmqdEnTYIJ3GmOaobS1yM6tJwPRxe7Fz72RfzkpOiaHtMKlA93ovvZkfasmblqpu7f/94A/AD470Nezs9XtmXWp4Dp5Ktc1PBOKCZniVmP7jee272ZX0ZBMNlbTY6xz/cpFc0Ei2W7ODiDxNFUq2bHKKqCeIF5j5VrRRb0oSgyqymChDScOrKtFl85CZ7LtQCUJlAGCobvYV76Lk9o3sabtHI4rnc6R6v3sGb2dWjhIh1MhiEPYUIVyoZBMz1VxPUbaivjxhOAlr0jV99D4pkDZKRD4jehVQocgEzhLNn4NJMpCx/soXfgsej+pBcb8tDJTnOV+fvl4XiXX1TzMrZMZjz92qMBcsMB6iXLF4S+6f8jta7oBKIcFvnjXpbDP5vs0Zi4UxOUpv3sbP7vsXACqVY/TPqjI9Xe2uGXGLA2i8L93P5Zrdp4RLYty+WkPs+bcqPDyvkoXP71xE8XDragta5ay7t7+EvAfwB8D1wLvaG2LWmycACv6TzawymdAx7w393KojUBNNApCk57hSqYa9mTZa8h1G483qKk5mnEgdOMMthNlsOvZ19BTym4JiedxrhQLUS/1uDGjbdk6EJXQoxYOs6t6H8XBzZyz7HTWtZ/FsuI57K88AKO3Uw2Hom2Lw2pvmFqc+i2HBSpthaT+0pFaG37oJIH1Ea/EEUh2cuB4qJNKAMQ3CdL7IJkjW8FFGzcklGje6gn2E5rLYKsSprL+DuNksNO91kn9LkQ7PTNnts5WVG3Fy8x4ejrK9HTcB8BQWKZ/+WM4fKARWOerJRpjmus/190A66LpuHb6Q/xW/1tZeVt8DIaK1qqTvNsYM1PFzSUGN0fHXFiES19wA3+44hEAHqnV+EnHuehQ41JJrFOJmWXdvf0bga8CjwP+HXj7QF9PrbWtmkPZwt2T5aPHLW6WTZdKIxBT4kissSxOqie4xvNYp17PzF2d61Ys5LKnMKaatqYy2E5VkDg+VQEtCKEbZ3oDQUfd+MZANCf2cLGYBNYA7V7jV6AgYVIFnCDkgcHb2Vu+k7Xt53N829kcVzqDQ5X72FO+g1o4kslgl5waFfWoxRlrTwJG/AJhKmKt+o1z3mgIYaqYWeC72THWviTBsWoUZNeLRdbHrU/YNby+X9P7NL1CkP3hZjLQEhcryy2PmfprjllgbQBolyJ/f9632XpmVMRlT205n7nliThH7FfEmLmw2i1x4Zvu5O5XrANg76Euzvj7UYJ7H2xxy4xZGsSHf7/5WfxnV1T0p+gF/PYlt3B8Icr8PDB8Ilf//Hy80cm2Ysyx6e7t7wL+DHgbUUjwooG+nm+0tlUtks8yp/47Xvfg9NsyY3DJjXtOby9OrGYCvdQY36jQViqDHdIIGGHs3FC5ruIEjXWSDHZ9TmcBHJLl0AXESZoaFh1GaUv2Q7VSSDLKABXfS7p2Q5TBHglH2F65l5KzmU3LTuPE9vNYXjqPA5X72DNyO75GNZaK4rDKG07e2xWUCNVJMtgdXjUT3B5wOhh2G8uBFNBCtg6FW81msOtzZkc3HhrzkE8rg53Zxdmfn0Pq5yvZryrjZ7BtjLVpCVccXtA5AkQH3hZ/iC92XoI/Wr+91ujqYYxpvpIU+K/118P6aPmaMvzdhj+kbftyADQICEdGxvaLMsY0hYRRBjsgymAf6VKueMy9PK3tEADXtm/hp+2PIaxPoZMvXmTMMeju7e8g6vL9V8DxwHeAPx/o63mopQ2bp6YsbpZe12mMewbAkWgcdf196QJl42Wo0xlQ8kF7al3GqceQC7SjwlvZDHZ9e+JCWGlUKBcVwkrjw3xxGS4Xk2XPDSi4jQi13a3hxeOzRwKf+4duYefoXaztOJ81bedxfOlMDlbuZc/onVTCcma8touysjCS6YI94jc+qxa4SaEzgJGak1k3rLiNdocQ1oT6/QNCUD91syKcOoOdDrSdIOoeXt9nhNk4JN3jQKbIYDeVdQU3R+tEt8QHLv0y+4No3ut7R0/m8zc8EWd0lmrXG2MyLiyOsumf72TbyEoA7tq2jrPesgt/567WNsyYJcItC2+89mW4xegCtqOjwhuu+BGr3Sjb8+MD53LL1edYcG2OSXdvfxvwWuDtwEnAVcDfDvT13NjShs0342SvxxQ3G7tK8tYxGeyJ3qDZJLSE2Z7j0XKqgnU+gy3kpqWaRgY7bovGRdXqy2EV4tHK8bLDaCqo9H2HSi0K4UQUP3QYTgfD6nLYrbC1cg+d7qNsWn46a9rOZ0XxMewt38f+8m34WgbAdUKOLwwm7+1wq3gSJF3Di65PyWuc5PY6IeVi9Fmqgk8RiW8CJFNL18dch/F3W/++p5HBzvwAU4XQot2rqTHUcnQZ7DligbUZV0kKXNlRAaIucbcWd/KFjscRxiX4JRSkOse/rcYsISucdj5w8s3J8oeP38C3N1yBV797W6kSHDzYquYZs+g5PhS3NC5Wj6wp8qQLHuTMQtQXfCQscWPH2YS16G+hE4BjZRHMFLp7+48D/gj4U2AdcDXwOwN9PT9vacMWgtz463FfTxmTwRaQTDCcWspXnHbGZqhDNxvopV/Pz7Y1VQZbgsZ4YlXQmmRn60plsBEhLKYy2J7HaH18tihDBT/JWAOsLDbqJVXCGvcN3sTOkV9ycseFHN/+GE5sP5MDlXvYM3onhNVMBjtUh+VeOfV+Dz90ktdGSo1u6aqCX2ncAFCFsOgmRdgkEMICSWDtBKC1xo/QGadmheQC68y49vSy6NFlsJtosm1aYG2m5exCyMef/GnKGlUm/Mnh8/jf6x5n3cONmSMv7LqX7f+1iiN+NBVQ/13nc84b7yUcHp7incaYZigccnn5T1+LxBe0q44b5B+e81XaJCoq9D87nsyDP++2KbrMuLp7+y8A3gi8HGgDfgK8CvjJQF+P/dZMVy6Dnd9xk2awnfxoqmw0nBlzPVUGO8hmsEPRbHHDKTLY6Z4uUYDeyGA7tXqgnl5ujGv2faFcawTaewOH4Uox/v6jytrLi1Fw7KAEOBx2qmyp3MVy72E2LT+d40sXsqK4iT3lezhQvoNAo0Sa64YUUt9IQQLa3Ubg7TkBh4vRdUiowm6gWo3apqFDjSIS32yM5vF2GpXX/XjH1Hse+OCkdoqksvrAmLnEJSD5+Y+Xwc5Ma53PZM8RC6zNtHQ5bTyzPaDeZ6OmD/CNrovQ+oHtC07FuokbM1vWel3884m/TJZHgwI7zjgFbzDKnungMMHeva1qnjGLnlOF0vbGtDcHnS4eU9zBCicKrH++bC/3LtuYXAg6FcG1DPaS1t3b7wLPB94EXAGMAp8BPjjQ13N3C5u2OMxGBlsaK0+awda46FjMUclE7dPJYCevhXEGO34yRHDSdeAlzmDXP8t1Mp/tl1zKTiH+FpShaiNj7Tkhw34pmeqrEla578gNdHi/Yl3Hhaxpv4CT289iX/lX7C3fTRj6lFIf3uFWkqm6AIYLpWSMdagOg6USItFnh6HgF72kKJsGQliUZD86IoRe7ntP3WCoz4Od7CLJ7rd0xjqZ0zqVwZZUBrs+XntWuoJbxto029Pb9/LlKz6ajMH4+J6n8bMbNs1OkQBjzBjvPPn7fOMLm5I/eB/58bM4888PQGjzARkzF9wdJX7rB29Mrvw2dO/jY8//eDIy8v899BvsufGkVjbRtEjc3fsPiIqSdQNbiIqT/fdAX8+BFjZt8Zkkgy351yEbOM8kg+3QKNJF1CtZnGwknQTmmvsKY6thpwPMUHPdxiWzvgRC4Ke6hodFyqU4pBPYq8LhQhsQjaEGaHOjYLkY978u+AFbynewynuQ81ecyeq2S1hRuoB95bvYX76LQOO7gi60paJfV0KWFaJseKiCIyHDtSiQ99VhF+D70XVJEMQZ7HqV8Jqg4iTfm1Ml08VAq9PPYOc7BESb0VTgLfme5M1jgbVpthVOO49v3BDj1uWb+enKsxsnqLKLU7YMtjGz5RSvizevGkiWv3n2hTgXnA1h9KfG2XMQf9fuFrXOmMXPrYK7p5HJ2X98ByudUQrxFfCajkG2rV7TWH/IsQz2Itfd238x0djplxJ1974GeAvw7YG+HitzN8fGrSCerhqde32yDLbkorTxMtiZqcGcVAY7zq5m4rFcNna8DHaqGZkMtuOSRPUaZ7NDqZcYh2rFSz7acZTBaomqG52r2lyfoWKJQnwTPtBR7jl8LZ3eCtZ3XMia9ks4qf1c9pbvZl+cwSb1fXY4VQK38URXoZIEw37ocqjYRs2NzoG+7zJa9ND6fNSOQ1hJ3f1QIUxn5vPfdz4yzgW041YUnyCD3UyTbdUCa9MUL1/+AFdc8UCy/Nebf5O7bju1hS0yZmn53Lmf4cYvbyCI/wL+45d+l43vtMDamLlSfXA5L975xuSqa9OmzXyj5wMABAivvuPV1O5a0cIWmtnQ3dtfBH6bKKB+ItG8pZ8GPjzQ13NXK9u25OQjnmPJYKfem8lgS65rcgipqaSjODedwSaXwc5Xw05/ZRoZ7HTQGAph5nWHoNoI4n0tUinEjXOV3YDnxZnqeJouL85cd3jx3b6a8sjoHZxUup/zlp3NcW2PZ0XpQvaXf8mhyl2EGkfAHnS59Yx1dL0xGhTiTUTBezmIPrsSeOwm6iIO4Nc8fIrJ9x1WBHVSGWyPTDcArYJTa+wkx59kn+V+rkkGezZYxtrMthVOOysaxVPZtGIHd51wcrIcDhVsqi5jZtGphS5OLTSqhP/dmSPokx+bLBcesam6jJlNbhXcA6mCQiOdHArbk+XjOkfYfGJntKCCd8i1DPYCFnf3/lPgDcCJwIPAm4FPD/T1HGpdy8xExmSw0+oZ7HRGW1JPhFFxrFScnctQZ5czQTq5DLYeXQY7P97b8clkkdNdqlWIZu2Jg151lWrVIwii5cBzGKyV8OIN+qHLkcJoknXeWx3mV4evodM7jvUdF3Ji++M4se089ozexb7yPRQzg6IDOpwqbrytWujSVahQdKN1ykGBI6USfhAF3CJQLrlJNe8Qh7Ca+kZDyYxmk4DGvONE/8/fgEjWzfcYYJyM9xywwNrMir88/iZe85Trk+VX3PtKdt67ZpJ3GGOa6ceXf4gHnxBlxwJ1+Kv3/RFrPmSBtTFzZd+da3jNfa+NFgR+/cl38ImzPwfAsHq88BdvgIfbWthCcyy6e/s3An8B/CHQAfQDHwSuGujrCSd7r5ljU2Wwxwm68hnsxvOa3Z5kp8eKps/KfXa9GnY8PjvbNXmSDHaugng+wBTNVSBPd6kWEHUIC9EG1IEaRYJ4NoOqp+wi6iIO0FaIgmAnjlhXFNsJ2hyo1Xhk9BbWt3Vw9rJzWNNxGavaHsv+8h0cqtyN1iegLjQy1fUMdn15NIgybvXpukZqRfaIJtN1VcsevjSycqHnoG4qY+2AmyrapgKOf2wZ7KaaacZaRFYC/w1sijf3B8D9wJeJijIMAL+jqgfH34JZalY47axInZAes3one0/uAqIbdrWDbTYG+yjYMWiO1ileF6d49TFUNQ6d57PyyscBUbeytju3EOze08omLih2DJqj5VbBrTaySI8MHsddK6NiZuWwwKoVw+zbEP8dDIXC3oLNgz2Pdff2nw+8jWj8tAKfB/51oK/nVy1t2FGw81jWVBnsfD9yzQXOmUA6l7FWp7FtzXczZ4IMdjqon6wOaZj97HS3cQSkFlcpj9vhVBw0Dqw1UCqVAk5c1ExVGKyVkoy1I8oRr3HDb2dliFrwM7q8E1jfcSFrO57Aie2b2DN6J/vK9+ESJhnrQBy6UlXECxKwvNBONS5h7ohypFhKzYMNlZKbfONhAGGqKFvo54q2+VHFdIhuLhxNBruZmjHG+v3A91X1t0WkSHSH7h3Aj1W1T0R6gV6iiofGjPHvJ/+U8tofATCiSs+tr2VkYHmLW7Wg2DFojpkrDtc97z848Nzoj9veoJO/fvtr6fqKBdZHwY5Bc8xE4ZGbTuGtt74CAPWU1z/rKl51YTSF3oBf5Hd/+MeUdltHwvkmDqjfDfQAw8AHgPcO9PVsbWnDjs3SPo8dZQY7X5wsk8FOVaCuv3nSDHa8DRibwY6WsxnsTLXyXAabXEApqplpq1BpjP8WgFRg7UFNitTridWKIbsBiT9gsFTCT83lNdpWJCg57K5VeHj0JrrbOzmj61xO7Hgyq9ou4kD5Ng5V7kMJCFQ4vjCYTMdVUy/+Gm1vOIgC+Prrh8rtHHAaGexKsUDNa5wD1XEJ6zMcarR/60XcRKM7H+kbEJkpysgF3c00k4y1iKwAngq8GkBVq0BVRH6DaE4+iIo0/IzFeiCaGety2uiK/1/RGuev2Um9okcQOJR3d0ZjQswYdgyaZljrdbE2/v/hcJg9lwpwGQBuJaTr2ocI9tssMOOxY9A0g1NtDIsMPeHmQ92sdocBGAzbWHnSIIPLokxRWHXxdhSzmSgzp7p7+1cD/0A0hvoQ8LfAfy7U6bLsPDa1o85g517PdwWvB+aicQa7nqCuZ7CTYmRERbtSGewxQf0UGez66irRuk69cU507ql3sdZQccpOsn0FKuVCElgDDBYb0/4UXZ9S6kS0XY4w5P+U5YUT2dDxWNZ2PJk1bRewe/RODlQeiDPYjaZ1uFWC+MMcUbq8SpJ19kOHkWIhWTcIhFoqYx3UGjtJUMJaY8OiIL4k+1xU0WCScepzZDq3Rk8F9gL/IyIXArcSTXR/oqrujNfZRVS4wZgplaTA/3T/kNrG6Cyx1Q95/i/+BN1TmuKdS5Ydg6apVjjt3PTSf6f8kuh27nXlk/noa16E8/MFeb04F+wYNE3l+HDHNWdxh3MWAH5HyPue81me1r4fgOvLK/mT7/w+zhG74TzXunv7PeC1wD8CK4D/BN65UAPqFDuP5c00g50plpXLYKcibyXuKZ4P9FIZ7KgneRxEhtkMtoRTZ7CT8dzJCuk2SyOQrgfY9VEooy6+FpP1/YrH7lTqvex7VINGuBgiVEKPPdVRHhm5jtM7Ojm9axNrO5/Cce0Xs3/0Fg5XH0AJKajPmkIjQ13WRhANsKLQjuc00sr7Cx0c9hrLo04Jv+Cm3uE2hsvUA26/vo+iGxPpfTZfA2sPuBh4o6reKCLvJ+omklBVFZFxmy8iryU6QXHKOuviZCIlKVCS6AA7yR3hgg3b2LpiFQDlmsfwtmWIbxcUMTsGTdOtcjuS/59f2smWZ7ex/MwnAlAcDFn+/XsIBwdb1bz5pmnHoBef54xJZ6Ndcfjf/Zdwf9cOAPbVlrH81ENUatE5uzxSpLClNHtdGw0A3b39lwKfAC4Afgq8aRFNmdW889jKpXEeyyWos2RsEJ7ZcU62K3K6avh4GexM0A7gNGbUdnIR/5iK4qS2Jblq2BoHn05j2alKZgC4U24MCA+BciqL7DohRbeRLm/zGv2tHZTt5UMcrP6EFYW1bOy6gJM7n8qJ7Y9l1+jtHKw8NCaDvSyeqgsgVGG4ONroOh64VP1GIO3XXGr1IF8hKDmoNMZYB1XBqfcKCMHxpTF1eKg4s3S+1EnCk+lcZW8DtqnqjfHy14gOxN0islZVd4rIWmDcwXqq+jHgYwCXXtjWgnsHZr5b5Xbw5dO/nyzfVBFevv+1yKAFgTE7Bs2sOqvQye2//37C+Jb3Bw5cyLV3bgILrOuadgy2rdtgx6AZw63AdT/exHVsAqB6vM+3fv2DnB1naz53ZAN9O37LpueaRd29/S8CPgfsI5qX+hsDfT2L6Xht2nmstH6RnscmGBNd/+94VcST1x2mncEmFVCP93mS6toNEIpEwXVqU9mq4KmXFEhPWVWfFyyXwa4vOzWJAv16YF11o7mmY4O+gx9P1SUCQehQbstmnpd7o+yrDfLo6LWc3bGM7q5NnNx5Bce1XcLB8s0crD4E6JgMdodTTYqmAbS7NUpe447jLkcZKjR6s47SRliN2xJGfe2TMdehZMaeSyhIOPfVy6aMXFR1l4hsFZGzVfV+4JnAPfHjVUBf/PVbTWmsWZIK0rhDdbI7xEVnbeZgJcqoHRjuYHDziiV7p96OQTMXOpzGH9IndD7EZ17+DEoHox6BHbtCVnztNrS2NK/q7Rg0cyFThGfE5b27nsWaUnRza1+li1Xn70uK/Ow/0EVhc4nxc4vmaHT39gvwVuBfgOuB3xjo69nb2lY1n53HZm7GGex0QJ2qWl3PYGe2latqHabSpEeVwWZsBtup5ZY9ybzRGU1V5haXipsKtFPZa0eUDq9KLW58QUK2lvezt/ojVhXXc0rn+azruoITgovYNXIb+6sDmQx2yamxwh1NtlcpeMm2QnUYTQXwqhLNx+1E8YKGQlCRpGu7hBpl4uPv2wmiquJz3R18uinBNwKfjysIPgL8PtHNlK+IyGuAzcDvzE4TzVJzaqGLr57+g2T568Or6N3+Eljaxc3sGDRz5pntAXe95kPJ8qsGfo1D3+8kOLg0A+uYHYNmzhQGheuu2pQsB6eVueGpH2KV0w7AO/deyFe3XN6SMYSLSXdvvwN8hKiL85eBVw/09ZQnf9eCZuexo5G+7Mwda8eUwc5XO8tlsJOvAmEucM5nsOs99jNjihnn/1NksJNhl/UvQTYYDQKXIGysMwhJd22RqKv4kB9llT0J8JyADqfKvtohBkZ/xtmdKzil4wLWdT2T44NDHCjfwqHqI9Qz2IVCo3GuhJlCaY6EtMddz0MVQoVyKQq2w9ChHEoUPMftlsBJxpo7NYluVs7COXJMt/2UaQXWqnoHcOk4Lz3zmFpkzBTc1JwG5xR3c+mFD1EOooNp4OAqhh9d0aqmtYQdg2aupXuRXHncXbzrL1+MW47+gK26P2TZV24cpx/b4mXHoJlr6Yvy8FCRN2/tod2NLjIP19pY+/idyetbdhxHcUsxvwkztT8iCqr7gL8e6OtZ1H3j7Dw2A/mq4LnF8WLszPRb42S0k+7ZuQw2CqRrdgGaXtbGxqPCaJrJQOcblw3ws4G3g6I1yXwD6kh6BdRpXJMHrke5HswLHPTaqRSjcNJzQjq8WnKeKjk+A7Kf7eWrOK54Cqd2bWJ91zM43r+YnaO3c6j6KMXUPGEdTpXAbXzWaKGAGzc+UGHULzDsxnNmhw61qkdYi9bXQPCrEt0YANRTnNnKWM9wjLUxLXVBsY2vnPbjZPk9+8/kYwPPtDv1xsyRVy7fxytf/ZFk+YKbXsryr7uob3MBGTMXivsdbvnRucly+4UHueXSLyQ3oV/S+Qzu2HJ2q5q3IHX39p9AND/1z4B3LLLx1GY2zCCDTSqQBtD0jWnNBYC5buBIkogF4ux1alshk2ewJx2DHWZXSDLWyTRW2Q/3xU2yxAgMSjuVUhROOo5Scv1knHTR8Sk5NUqOz8HafraO/phzOlexvvNCTul6JmuCAxwo38zh6gAAy9xRSrnJqLvcCgABDn7oJmOu/TAa+13Pnvu+S9UXiLPrYS3OYM/HjLUx88nlnffzqyesJYx/s2/fuY7ylmUtbpUxS8dLTruNT77n6ckfsLXXh3R848Yp3mWMaZZDu5fxu488O1kOVTjraY8my3c9tJ7S9sJ4bzUNfcAy4E8sqDZHbaoMdi4IH1NJOlUlHNEogK2vns9YB9nlkGzX8HRUrwqO5gunMXkGO13fAc1krFXAS21MXZDQSV7zPY8gnntaHGWf10FbIQqsC05Ih1elEEf57W6NguxjYPRHnFDayGld57Gh61kc5x9g18htHK5tyWSwl7ll3NQdgtFSIcmG19Rh1C9Q9qNQ1g9cDvouYT1jXXXwfZmV+kwWWJtF5cltDk/eeE2y/Drvifxoy4UtbJExS8s7jr+fd7z0/mT5tI7XceY3WtggY5aY0i6Pu3edmSyf9pTNfPfs7ybLl4++kH3bl850xEeru7e/k2h88YcG+nruaXV7zAI1VQZ7vPXSz6W6b6szSQZ7HJkMdubD4um7UoXRCHNNmCSDjYKbS5dnAnFHCFLr11wPrYVJswe9NsrxuGnPDWnzliXTdXV4VTq9Ci4hh/3d7Chv49yu41nb/lg2Lns2lWAPe0dvYbC2FchmsEMVakWXkTiDXVOXclBIholWA5eK7xLEFcxrBY+aPzsZa5yJN2qBtVnwXrT6FkpPadzh+uEj51Db3tnCFhmztLzoiTfxtY89Llne+E0offfm1jXImCXm3kdP5lnh85PlkzqPcOazo8LWlcDj+rvOpLTHnejtS9EGoljDutqY5phJBntMdjmXwZ4oMI+3FRJVwa4LtZGpTTLYE0ztBdkMNrlA26nl2uKQjGNGQL1oiq5oZaVWKOJ70Yc7nrLfC3DjCaXbCzWKjp+Mm17mlXGG9vDQ8A9Y03YqZ3Sey8ZlVzLs72XXyO3UatsaGWyBLrecBNq10GO0VKQSRqFsJXQp+wX8OJs+WvQ4HDrobFRNcC2wNovYsztqPLujcRH/3METuN8Ca2PmzL+edDv/+rzbk+XHDPwx67+Xu31ujJk1pW0Ftm5bnyyf+Zzb+c91NwAwEla5ePt6dG9X8rpN00V9Z21raSvM4jJJBnvC9SZ4bsoMdj34rc8/nXopk8HWo8xgh9llh+x4cNfJdq8OPUEK9TmuhHDERb0ouA1cZbBQwo0LjlV9l85CZzJ3dS10aXdrUQZ7aCd7ywOc0XkSazsupHvZlZT93ewt38xQbTsAy5wyQdwJPnSEinrUwiior4QeI+1FqnGgPVooUKkVZuXyw7GMtVlK/mTDT7hp9elAdNB+5Z5L0D2lKd5ljGmWp/3Wbfzo/AsACHyH0/5Lca69o7WNMmYJ+f4953HZ3ih2FFEev2Ezq08fAeBwrZ2rbz6P4sFJBgoufqvir0MtbYVZvHIZ7DHzTE+SwRay43glVEiPe57o8+qva+P9otEc0PU31TPYyfDuepA8UQY7H2iLImE2gx3WUhls10k+O/SUiltC4gxvpRjgOpoUWhsuFXFSUfpIcQRfd3H/0B5ObDuVs5adwyldPQzVdrN79FZquhO3fgtBYJU3TC0ul14LPSpthWQe7GG/RC1wM/N/N8tWZ+I0uAXWZtHp6SjT0/ErACpa46rt57B/XyOwno1CBsaYhv9cdwPE2bKDwQjP/slbOO7GxlRAWlvS82EbM+uKm0sc2nwCAKEHL37B7bxx1YMAbPNHeUbXWeiR+JjUJfl38ab46+XAra1siFnEjjGDnRsyHQeqqcrdSHZzcRY6WXQby0r0/yRYVsZ2j05XAc+9JmG2MY6fzWA7riTFz9QBd1TQOJAWT9CimywHvjBUKOHEgamq0O41MtiuaDKP9aHhHRyoPshpHRtY234Bpy3voexvY8/orQz7u4BsBrvmuIyExSSQLjk+I20FfG3+EBjPAmuzVHm4/O3Z3+GRU9cAcNDv5DO3XYZzyKqlGjMXupwSj339L7njRd0AHB5s5/R3Vwh/eV9rG2bMEiEBfOi2K/jU8icA0UXh88//JWsuGQTg0ZHjufraTXgjzc/szFcDfT2bu3v7HwKeBby/1e0xS8DRZLBzr+cz2NHdsNwbMtNvgaTWz3cF1/SY6TCeBzu9ndxUXZNlsN1qqoq4EM97HU955QKOk2Tjw6JDOVW0rdqWvRYf9QtJ126IptQqhzu4d2gXJ7efwdnLzmDjshcwWNvJjpHbcHUXBeKpvcTh+MJgMmNQh1slVIdwskmnj1EhPaA9xwJrs6i54vCCzhHoHABgTzDMV7oupjIU/+prqgiDMabpCuLy8Q2/iEoFAXdUKrzplDfS8Wg8RV4QEI6O2jhsY2aJKBQHSlSJem6NdCiXn/MAz+3YDcBtXW38pOM8nFp8QatRVmoJ+CHw6u7e/uMH+nr2tboxZgloYgZbwkz/7Kkz2PUVwijgTea7ZpzpoybqFs4EGex4zLEKOFVpdEN3QcuSvC4qaNlF4436eAwXG73ZXCek5DZOPu1uLckOHxnawuHKvWzs6GZtx/mcteJ5jNa2sqd8CyP+HtCQDqfRG64gAeVCYVa6gnuTdPGxwNosKSucIv920VfZ6y8H4KHyiXz+xstwRqxaqjFz4dRCyGPe+UsGhlYD8ODONZz19v34m7e2uGXGLA1uRei9/kX8TSm6gG1vq/Gay69hlTcMwPWHTuema87FWfwjNj4MvAH4S+CvWtwWs9TMdgbbabwU0giQ1akXJIu3peAwgwx20Hhd4g1qvS1O9GSSwa5ETyYxftVhVNuSTfk1l1rQ+Mb80GHYbwTeYbtwONjO3YO72NBxOucsO43uZb/Jkdp2dozcBsGuZF3XCTm+MMhs8MQy1sYAUJICPR1loAzAL9u28MXOS5MJ5SUUpGYZbGNmywqnPalWDPCZtcfzuXU9eCPRMUmtSnDocItaZ8ziJ0E0Bps4gz14XMhTL7iP8wpRYN0mNa5rPwc3f6HeBLOQPDpmA30993T39n8BeGN3b/97B/p6dk35JmOaqVkZbCE76lpSSxJlmdPLmaB8igy25AurjTNtV/q5TAY7BKcmyfvFg7AiqTcIYTEVSLseo4VGID1Y8DPjmVcWG/WSHhh6hCPVuzml43ROat/E2StewHBtgL2jtzIa7AP8TAa7mZxJflgWWJsl7QzP4WNP/AzDYXSw/nzwbL5+3eMtuDZmjlzZuZlfffhODtXaAbjq3nM5500PW3BtzBzxjji86md/iMRzz65cOcxfP/ubLHNHm/5Z7/jMgaZvc4b+HngJ8HfA61vbFLOk5auE51+eLIPt5EdTZaPhdMa6nsFO3hvGGez6cpDNYIeiZBK008hgp4uZUW5ksOt1xOrLThWE1JjqmsOo3/jsIHAYqRTj718JVVhejG7COygBDgf9rdw9uJNTOs7g7K7TOHX5Rg5Vt7Bz5Hbawj3MBgusjZlAh1Pkme0BEE1DUpR7+HrXxYSVWZiGZJJ574xZqta4nbznxDuS5Te7Ne7vPgvv4PKmf5bssKKFxuQ5tWge7LqDG4THnr+FE9zmZ3u6ZH71Lx/o63mwu7f/g8Cbu3v7PzPQ13Ndq9tkTL6b+LivpxxLBjtZ18llsDW/LJmofToZ7OS1MAqy65+uCprKYCPgVBobcx0IvEagXSt6lOvjs0UZqjYy1p4TMuyXCN3o/fcNPsRQ9Zesbz+LE9sfwzkrNzJSe5jdo7dRDpp8Q2+S3JsF1sakXN52mM8+9eNJ+f5met0HrTaKMVN56wk/4/OfPUw5bH4QfOdLKk3fpjGLjbe7yG9f9SeTXjweq11HPtD8jc7c3wIvAj7W3dt/8UBfz/yK/s3SNEkGW/Kvkwp2dYYZbCe7bXFAnGwkPWbu61wwnf7YdCHEaJqvxsqhL5n1HV+QzBjrAuVKI9DeEwqHi9GYbNcJCVXo8KLDtRhX6t5d24w3uIPTOs/grK5TOW35aQzVdhNojWZR/dWEr1lgbUxKl9PGk9umXu9YLLPe5cZMab3XxV8d9+CsbLvfK8/Kdo1ZTNwquLtm5/JwPg6zGujrGeru7f8T4NtEhcz+qcVNMmZS+Qx1JsMt08xgp+etTq08XgY7U2TNSWWw4+HSmXmxJZfFHieDnWoGTireDd2oqnidUxFCp9GYWrVxXnKcKIPth9HrRTdgqFiiEEYfcO/g/Ryu3Mm6jnNZUTgZpDF2e6Ymm8LLAmtjjDHGGLNkDfT1/F93b/9Xgf/X3dv/9YG+nvta3SZjEvk4rpkZbIkD7/R0XKno0EnNOx2/3LQMtoSamyNbcq87BNVGEO9rkUoxbpyj7AE8LwqkC270tRhvIMpkH2R37WHgYZrJHzM/WYMF1sYYY4wxZql7I/BrwH939/Y/daCvZ+LJao2ZR8ZksNOmyGArgkgmzs5lqLPL4mSDehVp1BDSXAXyeIMTZbDRbAbb8SE9EtOpklRt03g8dhivoI5SrRQI4q7jgecwWC1RdKLQ1g9djhRGccYMAp+5wAJrY4wxxhhjxjfQ17O7u7f/z4FPAa8DPtLaFhkzgaky2ONE2WMy2MkLmt1eqps4xMXHMq/TmLe6Pkd2mB0QLvnM9QQZbAnibuT1oF5zFchDIax3FRcQdQjL8Q0BB3wVgng2g6obZbCdOMhvK0SZa0eaf3+sEk4cPltgbYwxxhhjDHwGeCXwT929/V8Z6OvZ3+oGGXO0pspg5/uRay5wzgTSuYy1Oo1taz5IJzcGe5wM9rjtSnVDT3+2E6TeIHEGO26sOiAVgXiMtbpKpVLAiee9VhUGa6VZyViHOuHetcDaGGOMMcaYgb4e7e7t/zPgTuBdwBta3CRjpnaUGex8cTJJLas0L4MdLWcz2JrvCp4ZY53LaKsifnp9aYz/FgAHdeMMtgc1itSLiteKIbu0kcFuplrgTvjaLEzWa4wxxhhjzMIz0NfzK+BDwOu6e/svbHV7jJmpSUPLCbqNpx9M8lAhiibr1cQdUDd+OFEGu15pfLxHpin5hoZR1toJooDb8XOPalRF3KkKTkVwKg5SFaQqUHGoVApUys1/qGWsjTHGGGOMmZa/A14NvBN4YUtbYszRmmkGO931m1wGG8ms75CvOE7yYaL1nuRxBjvMZrAlnDqDnWTD4xXq03OpZNuibvSNaVyxPPTAp0gwCzP8qT/xRi1jbYwxxhhjTGygr+cQ8D7gt7p7+y9obWuMaS5NPcYYJ1udyWA7ZDPW6exz/fVUBruRuW5ksEO3/hjn/enPzjctzD38xsOpRdlrtxI/quCUHaTS/Me4jYtZxtoYY4wxxpis9wN/DvwN8Dstbosxx26cDHb6v+NVEU9ed6bOYNe3p0yRwQ5zGd1A0PTKkp1+a0wGO/Wa1OcFk0Y7VSRZDr3GNF3NlmljjmWsjTHGGGOMSRno6zkIfBR4YXdv/9pWt8eY2TLjDHb9MVUGO5+9dkllr8eOxR4vgy31YFtz2esgzlqnH1XBnYXHZIPWLWNtjDHGGGPMWJ8A3ga8CuhrcVuMaY7stNMZx5TBzmwjFXjWM9nTzGCHIjhMnsFOXlImzWBLfRz0bGSsJ5ka2zLWxhhjjDHG5Az09TwAXAO8pru3fxYu0Y1psfGqgqce45ksg02uSvh4GexM1XA3+xiTwU6tm/+sevY6k8EO4ux1oGMz2E16TDY1tmWsjTHGGGOMGd9ngP8Gzgd+2eK2GNN8M8hgJ4XMYtl5q+sDoFMby5QnT4p+A2OzvSGCxBtLVxIfr61jMtjhON9Ms1hgbYwxxhhjzFH7Xvz1uVhgbRY7YdzgOnk5F4Tni4NJegiyKKKNgmKqgJtaOcwuh+SC61RUr0rUTXySQmzZLuqTFxmbkUkCa+sKbowxxhhjzDgG+np2AHcAz2lxU4yZG6nptPLyw6nHfWSKmWnqMbZ7+NhiZo2Heqmu4F60TvJafdarCdoq2ugW3vTHTANrEflzEfmViNwtIl8UkTYROVVEbhSRh0TkyyJSnM62jDFHz45BY1rLjkFjlrSrgCd29/aXWt2QmbDzmDlqU43BzgW2+Yrh2Yc2gu5xxlfnx1yH+fHXnqBu9AhdGf/9E4zBbuZjMlMG1iKyDvgz4FJV3USUtH8J8B7gvap6BnAQeM10fj7GmKNjx6AxrWXHoDFL3k1AgWic9YJk5zFzzGaawU49Js1gjzsdVypLPc5juhnsuTLdruAe0C4iHtAB7ASeAXwtfv3TwG82vXXGmDo7Bo1pLTsGjVm6bom/XtrSVsycncfMzMwgg52f53pMBjufxXbiLuD1hwuhFz3UmyKD7TAmg92sx2SmDKxVdTvwb8AWogPwMHArcEhV/Xi1bcC6cfe/yGtF5BYRuWXv/tkaRW7M4mXHoDGt1cxjMBgenosmG2OaazNwCLigxe04Zs08j4V2HlvappsVzmerp8hgjzdFVyaoTQXMSZY6F0xPmsFu5mMC0+kKvgr4DeBU4GSgE7hyqvfVqerHVPVSVb30hOPcqd9gjMmwY9CY1mrmMeh2ds5SK40xs2Wgr0eBh4HTWt2WY9XM85hj5zFTlwsyNfcYL7ieLIM9XnfvzJhrL/tIZ7DVk+QRZbMbrzfzMdkw6+lMt/VrwKOquhdARL4BPBlYKSJefJdrPbD9aH4Oxphps2PQmNayY9AY8zBwcasbMQN2HjOzIx1cTxZ1jhOEZ97qgISpDTiS3ZySmfha3cayEv0/KS4moOk5r5tpJhlroi4jl4lIh4gI8EzgHuCnwG/H67wK+NbMWmmMmYAdg8a0lh2DxpgBYGN3b3+LyiLNmJ3HzOyb7Qx2erx1bnmyDHYzHzMKrFX1RqKiBrcBd8Xv+RjwV8BfiMhDwHHAJ45uzxtjpsOOQWNay45BYwywm6gy+IpWN+RY2HnMzJkmjcGOltNzXaUCcYcxy5kx1+lx2E1+TGY6XcFR1XcC78w9/Qjw+Om83xgzM3YMGtNadgwas+Ttib+uISpktuDYeczMuVw38XxPcRknw5285oDm+4KnynKHpLp+a6aXOBJGd46mmHb6mExWGXxagbUxxhhjjDFL2N746wnAA61siDELkjCzMdgCmVHXklqSKJhO1p1Gdnk2WGBtjDHGGGPM5A7HX5e3tBXGLGSTZLAl/zrNy2A3lWWsjTHGGGOMOWZH4q/LWtoKYxapfIb6mDLY8QoSjn3/XLDA2hhjjDHGmMkNxl8tsDamGfKB73Qy2NJYd9IMdlzUTGZhkLWNsTbGGGOMMebYjcZf21raCmOWiDEZ7DSZPIMdBdUyaRA8GyywNsYYY4wxZnKV+Gt7S1thzGI1VQZ7nCB5TAY79d7ZqQmOjbE2xhhjjDFmBsrxV8tYG9MC08pga2rZxlgbY4wxxhgz7/jx10JLW2HMUtGEDPactCulBTN8GWOMMcYYs3AM9PUoUXBtSSlj5oFJO3q3IFsNdnIwxhhjjDFmOnwsY21MaxxlBltbkD62wNoYY4wxxpipBVhvT2PmpTFTdbWABdbGGGOMMcZMLQTcVjfCGMO4Gez0f8cbgz3bLLA2xhhjjDFmagEWWBuzIMzSZFuTbtcCa2OMMcYYY6Y26Yw/xpgWmiSDPVdsnIgxxhhjjDFTs8DaGDMhy1gbY4wxxhgztRBLShmzMLTgFpidHIwxxhhjjJlaCzqXGmMWCgusjTHGGGOMmR7rCm6MGZcF1sYYY4wxxkzNxlgbYyZkgbUxxhhjjDFTs67gxpgJWWBtjDHGGGOMMcbMgAXWxhhjjDHGGGPMDFhgbYwxxhhjzPTYGGtjzLgssDbGGGOMMWZqNsbaGDMhC6yNMcYYY4wxxpgZsMDaGGOMMcYYY4yZAQusjTHGGGOMMcaYGbDA2hhjjDHGGGOMmQELrI0xxhhjjDHGmBmwwNoYY4wxxhhjjJkBC6yNMcYYY4wxxpgZsMDaGGOMMcYYY4yZAVGdu7nuRWQvMAzsm7MPnb7jmZ/tgvnbtvnaLpifbduoqie0sgF2DB6z+dq2+doumJ9ts2NwavPx5wbWrmMxH9vW8mNwJrp7+3cC3x7o63ldq9vSSvP8PDYff+/r5mvb5mu7YH62bcLzmDeXrVDVE0TkFlW9dC4/dzrma7tg/rZtvrYL5nfbWsmOwWMzX9s2X9sF87ttrTSfj0GYvz83a9fRm89tMwvbfD6Pzdd2wfxt23xtF8zvto3HuoIbY4wxxhhjjDEzMKcZa2OMMcYYYxaoZwJHWt0IY8z81IrA+mMt+MzpmK/tgvnbtvnaLpjfbWu1+bpv5mu7YP62bb62C+Z321ptPu+b+do2a9fRm89tW5AG+nruaXUb5pH5+vs1X9sF87dt87VdML/bNsacFi8zxhhjjDHGGGMWGxtjbYwxxhhjjDHGzMCcBdYicqWI3C8iD4lI71x97gRt2SAiPxWRe0TkVyLypvj51SJylYg8GH9d1aL2uSJyu4h8J14+VURujPfdl0Wk2KJ2rRSRr4nIfSJyr4g8cT7sMxH58/jneLeIfFFE2ubLPptP7Bg8qvbZMXh07bJjcJrmy3Fox+Axt8uOQbOkzZdzWNwWO48dW7vsPDZL5iSwFhEX+DDwHOA84KUict5cfPYEfOAtqnoecBnwJ3F7eoEfq+qZwI/j5VZ4E3Bvavk9wHtV9QzgIPCalrQK3g98X1XPAS4kamNL95mIrAP+DLhUVTcBLvAS5s8+mxfsGDxqdgxOkx2D0zfPjkM7Bo+NHYNmyZpn5zCw89ixsvPYbFHVWX8ATwR+kFp+O/D2ufjsabbvW8CzgPuBtfFza4H7W9CW9US/0M8AvgMI0cTo3nj7cg7btQJ4lHhcfur5lu4zYB2wFVhNVIzvO8Cvz4d9Np8edgweVVvsGDy6dtkxOP19NW+PQzsGp9UuOwbtsaQf8/kcFrfHzmNTt8vOY7P4mKuu4PWdVbctfq7lRKQbuAi4EThRVXfGL+0CTmxBk94HvA0I4+XjgEOq6sfLrdp3pwJ7gf+Ju7X8t4h00uJ9pqrbgX8DtgA7gcPArcyPfTaf2DE4fe/DjsFps2PwqMzL49COwWmzY9AsdfPyHAZ2HjsKdh6bRUu6eJmIdAFfB96sqpl5CTW6NTKnJdNF5HnAHlW9dS4/d5o84GLgI6p6ETBMrptIi/bZKuA3iE4UJwOdwJVz2QZz7OwYPCp2DJqms2PwqNgxaMw8ZOexo2LnsVk0V4H1dmBDanl9/FzLiEiB6CD8vKp+I356t4isjV9fC+yZ42Y9GXiBiAwAXyLqPvJ+YKWI1Occb9W+2wZsU9Ub4+WvER2Yrd5nvwY8qqp7VbUGfINoP86HfTaf2DE4PXYMHj07BqdvXh2HdgweNTsGzVI3r85hYOexY2DnsVk0V4H1zcCZcWW3ItFg9G/P0WePISICfAK4V1X/I/XSt4FXxf9/FdFYjTmjqm9X1fWq2k20j36iqi8Dfgr8dqvaFbdtF7BVRM6On3omcA8t3mdEXUYuE5GO+Odab1fL99k8Y8fgNNgxeEzsGJy+eXMc2jF4TG2zY9AsdfPmHAZ2HjvGttl5bDbN1WBu4LnAA8DDwF/P1edO0JbLibo4/BK4I348l2j8w4+BB4EfAatb2MYrgO/E/z8NuAl4CPgqUGpRmx4L3BLvt28Cq+bDPgP+HrgPuBv4LFCaL/tsPj3sGDzqNtoxOP122TE4/X01L45DOwaPuU12DNpjST/myzksboudx46tTXYem6WHxN+IMcYYY4wxxhhjjsGSLl5mjDHGGGOMMcbMlAXWxhhjjDHGGGPMDFhgbYwxxhhjjDHGzIAF1sYYY4wxxhhjzAxYYG2MMcYYY4wxxsyABdbGGGOMMcYYY8wMWGBtjDHGGGOMMcbMgAXWxhhjjDHGGGPMDPx/4/h/QEt3IO0AAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(figsize=(17, 4), ncols=5, gridspec_kw={'width_ratios': (4, 4, 4, 1, 4)})\n", + "axs[0].imshow(w)\n", + "axs[0].set_title('Wedge model')\n", + "axs[1].imshow(vp * rho) \n", + "axs[1].set_title('Impedance')\n", + "axs[2].imshow(rc)\n", + "axs[2].set_title('Reflectivity')\n", + "axs[3].plot(ricker, np.arange(ricker.size))\n", + "axs[3].axis('off')\n", + "axs[3].set_title('Wavelet')\n", + "axs[4].imshow(syn)\n", + "axs[4].set_title('Synthetic')\n", + "axs[4].plot(top, 'w', alpha=0.5)\n", + "axs[4].plot(base, 'w', alpha=0.5)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "qualified-formula", + "metadata": {}, + "source": [ + "Note that we could also have made the impedance model directly — it just depends how you want to make your models. \n", + "\n", + "So we can use the `strat` argument, and pass in the rock properties there. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "873b26d7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([6.148, 6.11 , 6.157])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rocks = np.array([2.32 * 2.65, # Rock index 0\n", + " 2.35 * 2.60, # Rock index 1\n", + " 2.35 * 2.62, # Rock index 2\n", + " ])\n", + "rocks" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "afa65ef5", + "metadata": {}, + "outputs": [], + "source": [ + "vps = np.array([2320, 2350, 2350])\n", + "vss = np.array([1150, 1250, 1200])\n", + "rhos = np.array([2650, 2600, 2620])" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "2e6a81f6", + "metadata": {}, + "outputs": [], + "source": [ + "impedances = vps * rhos" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "f945d77c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(strat=impedances)\n", + "plt.imshow(w, interpolation='none') \n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "international-domain", + "metadata": {}, + "source": [ + "Now the wedge contains rock properties, not integer labels." + ] + }, + { + "cell_type": "markdown", + "id": "radical-listing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## A layered wedge model\n", + "\n", + "We can modify the stratigraphy of any layer. E.g., let's pass `(1, 2, 1, 2, 1)` in as the wedge strat, instead of just `1`. We'll also change the bottom layer to a `3`, so now we have 4 rocks." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "hidden-phone", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(100, 600, 100),\n", + " width=(200, 1600, 200),\n", + " strat=(0, (1, 2, 1, 2, 1), 3),\n", + " mode='linear'\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "sticky-playback", + "metadata": {}, + "source": [ + "Notice that the `wedge` function returns 4 things:\n", + "\n", + "- The wedge model as a 2D NumPy array of ints (or whatever numbers you gave as input).\n", + "- The top horizon, in pixel index units, for convenience.\n", + "- The base horizon, in pixel index units, for convenience.\n", + "- The horizontal (left-right) position, as an integer, of the 'reference' model. You may or may not be interested in this, depending on your application.\n", + "\n", + "If you only want the wedge, you can call the function like so:\n", + "\n", + " wedge, *_ = bg.models.wedge()" + ] + }, + { + "cell_type": "markdown", + "id": "protecting-credit", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Arbitrary thicknesses\n", + "\n", + "You can provide the minimum and maximum thickness of the wedge.\n", + "\n", + "**Note:** If the maximum thickness of the wedge if more than 1, then the total depth (i.e. number of rows) of the model will be more than the sum of the `depth` argument, so that the entire model can be accommodated. If you don't want the 'extra' depth, you can slice them off the model as with any NumPy array.\n", + "\n", + "Here's a layer cake:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "frequent-dominant", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", + " width=(10, 80, 10),\n", + " strat=(0, (1, 2, 2, 1, 2, 1, 0, 1, 1,), 3), # Floats in the wedge\n", + " thickness=(1, 1),\n", + " mode='linear',\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "unsigned-parks", + "metadata": {}, + "source": [ + "Here's another example. This time we'll also pass in floats — velocities perhaps." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "reduced-modeling", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", + " width=(10, 80, 10),\n", + " strat=(1.48, (2.10, 2.25, 2.35), 2.40), # Floats in the wedge.\n", + " thickness=(1, 0.5),\n", + " mode='linear',\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "cb = plt.colorbar()\n", + "cb.ax.invert_yaxis()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "outdoor-edmonton", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Top and bottom conformance\n", + "\n", + "The layers in the wedge can also be top or bottom conforming, rather than proportionally adjusted." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "elementary-leeds", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "confs = ['both', 'top', 'bottom']\n", + "\n", + "fig, axs = plt.subplots(ncols=len(confs), figsize=(12, 4))\n", + "for ax, conf in zip(axs, confs):\n", + " w, top, base, ref = bg.models.wedge(strat=((0, 1, 0), (2, 3, 2, 3, 2), (4, 5, 4)),\n", + " conformance=conf)\n", + " ax.imshow(w, interpolation='none')\n", + " ax.axvline(ref, color='k', ls='--')\n", + " ax.plot(top, 'r-', lw=4)\n", + " ax.plot(base, 'r-', lw=4)\n", + " ax.set_title(f\"{conf} conformant\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "packed-closing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Different 'wedge' shapes\n", + "\n", + "The linear wedge is familiar, but you can also have other shapes (`power` and `root` were new in v0.4.3):" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "defined-cassette", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "modes = ['linear', 'root', 'power', 'sigmoid']\n", + "\n", + "fig, axs = plt.subplots(ncols=len(modes), figsize=(15, 5))\n", + "for ax, mode in zip(axs, modes):\n", + " w, top, base, ref = bg.models.wedge(mode=mode)\n", + " ax.imshow(w, interpolation='none')\n", + " ax.axvline(ref, color='k', ls='--')\n", + " ax.plot(top, 'r-', lw=4)\n", + " ax.plot(base, 'r-', lw=4)\n", + " ax.set_title(mode)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "capital-analyst", + "metadata": {}, + "source": [ + "If you're feeling creative, you can also give `wedge()` your own function (since version 0.4.3). Your function should have an API like `np.linspace()` (the function that produces the standard wedge shape). Here's an example:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "plastic-lafayette", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def wavy(start, stop, num):\n", + " \"\"\"\n", + " Custom wedge shape.\n", + " \"\"\"\n", + " x = np.linspace(0, 10*np.pi, num)\n", + " y = np.sin(x) + x\n", + " \n", + " # Normalize to 0-1.\n", + " y_ = (y - np.min(y)) / (np.max(y)-np.min(y))\n", + " \n", + " # Scale to required output.\n", + " return min(start, stop) + abs(stop-start) * y_\n", + "\n", + "\n", + "# The wedge function will pass 'left' and 'right' thicknesses.\n", + "# You only need to worry about the case where left < right.\n", + "left, right = 1, 2\n", + "y = wavy(left, right, 100)\n", + "\n", + "plt.plot(y)\n", + "plt.ylim(right, 0)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "guided-secondary", + "metadata": {}, + "source": [ + "Let's use that function to make a model:" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "sublime-poverty", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(mode=wavy, thickness=(1, 0))\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "exciting-completion", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Varying net:gross across `breadth`\n", + "\n", + "**This is a new feature introduced in v0.4.3; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**\n", + "\n", + "If you define a **binary wedge** — i.e. exactly 2 lithologies in the wedge layer — then you can pass a `breadth` argument to get a 3D model. The new dimension contains the 2 pure litholgies at each end, and pinches them out across the model's 'breadth'. Now the top and base are 2D arrays (surfaces through the wedge volume), while `ref` is still a scalar (the lateral position of the reference 'trace')." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "psychological-spanish", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((100, 100, 100), (100, 100), (100, 100), 89)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(strat=(0, (1, 2, 1, 1, 2, 1), 3), # Binary wedge.\n", + " breadth=100)\n", + "\n", + "w.shape, top.shape, base.shape, ref" + ] + }, + { + "cell_type": "markdown", + "id": "framed-alaska", + "metadata": {}, + "source": [ + "Let's look at 3 slices: one from one end of the 'net:gross' axis (the last axis), one from the other end (right hand image), and one from halfway (middle image). These are the net:gross end-members." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "polish-shirt", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "slices = [0, 50, 99]\n", + "\n", + "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", + "for ax, slic in zip(axs, slices):\n", + " ax.imshow(w[..., slic], interpolation='none')\n", + " ax.plot(top[:, slic], 'r-', lw=4)\n", + " ax.plot(base[:, slic], 'r-', lw=4)\n", + " ax.set_title(f\"Wedge slice: {slic}\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "cathedral-ceramic", + "metadata": {}, + "source": [ + "Slices in/out of the page, look like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "indirect-booth", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "slices = [30, 50, 90]\n", + "\n", + "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", + "for ax, slic in zip(axs, slices):\n", + " ax.imshow(w[:, slic], interpolation='none')\n", + " ax.plot(top[slic], 'r-', lw=4)\n", + " ax.plot(base[slic], 'r-', lw=4)\n", + " ax.set_title(f\"Net:gross slice: {slic}\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "falling-seller", + "metadata": {}, + "source": [ + "Let's simulate the seismic:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "2cc6ed01", + "metadata": {}, + "outputs": [], + "source": [ + "# Populate the model (4 layers) with rock properies\n", + "vps = np.array([2320, 2350, 2350, 2370])\n", + "rhos = np.array([2650, 2600, 2620, 2610])\n", + "\n", + "vp = vps[w]\n", + "rho = rhos[w]" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "selected-settle", + "metadata": {}, + "outputs": [], + "source": [ + "rc = bg.reflection.acoustic_reflectivity(vp, rho)\n", + "\n", + "# Get a wavelet.\n", + "ricker, _ = bg.filters.ricker(0.064, 0.001, 40, sym=True, return_t=True)\n", + "\n", + "# Repeated 1D convolution for a synthetic.\n", + "syn = bg.filters.convolve(rc, ricker)" + ] + }, + { + "cell_type": "markdown", + "id": "enhanced-cookbook", + "metadata": {}, + "source": [ + "Let's look at the three orthognal profiles through this synthetic:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "liquid-manchester", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ma = np.percentile(syn, 99.9)\n", + "vols, cmaps = [w, syn], ['viridis', 'gray']\n", + "\n", + "fig, axs = plt.subplots(ncols=3, nrows=2, figsize=(14, 8))\n", + "for row, vol, cm in zip(axs, vols, cmaps):\n", + " row[0].imshow(vol[:, :, 24], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", + " row[0].axhline(40, c='w', lw=0.67)\n", + " row[0].axvline(50, c='w', lw=0.67)\n", + " row[0].set_title(f\"Wedge axis\")\n", + " row[1].imshow(vol[:, 50, :], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", + " row[1].axhline(40, c='w', lw=0.67)\n", + " row[1].axvline(24, c='w', lw=0.67)\n", + " row[1].set_title(f\"Net:gross axis\")\n", + " row[2].imshow(vol[40, :, :], aspect='auto', interpolation='none', cmap=cm, vmin=0 if vol is w else -ma, vmax=ma if vol is syn else None)\n", + " row[2].axhline(50, c='w', lw=0.67)\n", + " row[2].axvline(24, c='w', lw=0.67)\n", + " row[2].set_title(f\"Timeslice axis\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "functional-scene", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Models from well logs\n", + "\n", + "We can pass in arrays as `strat` and they will be used as the values in the model layers.\n", + "\n", + "We'll start by loading a CSV file of a well log and dissecting it into three zones that we can pass in as `strat`. [Welly](https://code.agilescientific.com/welly/) would but useful for this, but we can also select these segments using conditions on the key depth boundaries.\n", + "\n", + "Well load the well log as a 2D numpy array, and then pull out the `depths`, p-sonic (slowness) `dt`, and density `rhob`:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "b6903ba3", + "metadata": {}, + "outputs": [], + "source": [ + "log_data = np.loadtxt('../data/P-129.csv', delimiter=',', skiprows=1)\n", + "depths, dt, rhob = log_data[:, 0], log_data[:, 2], log_data[:, 4]" + ] + }, + { + "cell_type": "markdown", + "id": "7b9ad511", + "metadata": {}, + "source": [ + "And calculate an acoustic impedance log as input into our model:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "fbf1d82e", + "metadata": {}, + "outputs": [], + "source": [ + "impedance = (1e6 / dt) * rhob" + ] + }, + { + "cell_type": "markdown", + "id": "17d24a87", + "metadata": {}, + "source": [ + "We must can segment this array into upper, middle, and lower segments. " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "1dc12225", + "metadata": {}, + "outputs": [], + "source": [ + "datum, top, base, floor = 500, 701, 805, 1005 \n", + "\n", + "log_upper = impedance[(depths >= datum) & (depths < top)]\n", + "log_wedge = impedance[(depths >= top) & (depths < base)]\n", + "log_lower = impedance[(depths >= base) & (depths < floor)]" + ] + }, + { + "cell_type": "markdown", + "id": "28b6851b", + "metadata": {}, + "source": [ + "We'll create arrays of depths for the corresponding zones as well:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "e76ab68c", + "metadata": {}, + "outputs": [], + "source": [ + "upper_depths = depths[(depths >= datum) & (depths < top)]\n", + "wedge_depths = depths[(depths >= top) & (depths < base)]\n", + "lower_depths = depths[(depths >= base) & (depths < floor)]" + ] + }, + { + "cell_type": "markdown", + "id": "1797dee4", + "metadata": {}, + "source": [ + "A quick plot of the three zones shows us the stratigraphic impedance values we'll pass intou the `wedge` function." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "ae5d27b9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1005.0, 500.0)" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(2, 8))\n", + "plt.plot(log_upper, upper_depths, lw=2)\n", + "plt.plot(log_wedge, wedge_depths, lw=1)\n", + "plt.plot(log_lower, lower_depths, lw=1)\n", + "plt.ylim(floor, datum)" + ] + }, + { + "cell_type": "markdown", + "id": "210c89b0", + "metadata": {}, + "source": [ + "The middle piece (orange) will be fitted to the middle layer of the wedge (resulting in the number of pixels given in the `depth` argument. The upper (blue) and lower (green) pieces will then be cropped to fit their layers, so you must provide enough data for this to happen. The safest thing to do is to provide the _entire_ log above and the same below.\n", + "\n", + "Now we can send these pieces to `wedge`. At the reference location `ref`, it will squeeze all of `log_upper` array into the 400 samples allocated to the upper layer, `log_wedge` will be squeezed into 208 samples in wedge layer, and `log_lower` will be squeezed into 400 samples in lower layer. We've chosen these depth sizes to be proportional to the the thicknesses of these three zones. This is not a requirement however, it simply prevents distorting the individual segments at the reference trace." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "fadb30e8", + "metadata": {}, + "outputs": [], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(400, 208, 400),\n", + " width=(20, 260, 20),\n", + " strat=(log_upper, log_wedge, log_lower),\n", + " mode='sigmoid', conformance='bottom',\n", + " thickness=(0, 1)\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "b7add786", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ref = 280 # location of the well (reference location)\n", + "log = w[:, ref]\n", + "log = (log - np.mean(log)) / np.std(log)\n", + "depth = np.arange(len(log))\n", + "sf = 2.5 # scale factor for log plot\n", + "log_bias = np.ptp(log) # offset from reference trace\n", + "\n", + "# Create Figure\n", + "fig, axs = plt.subplots(figsize=(16, 8), ncols=2, gridspec_kw={'width_ratios': (1, 5)})\n", + "\n", + "axs[0].plot(log, depth)\n", + "axs[0].set_ylim(depth[-1], depth[0])\n", + "axs[0].set_title('Well A: impedance')\n", + "\n", + "im=axs[1].imshow(w, aspect='auto', cmap='viridis_r')\n", + "axs[1].plot(top, 'r-', lw=4)\n", + "axs[1].plot(base, 'r-', lw=4)\n", + "axs[1].fill_betweenx(depth, ref + log_bias + (sf*log), ref, color='w', alpha=1.0)\n", + "axs[1].plot(ref + log_bias + (sf*log), depth, c='k', lw=1)\n", + "axs[1].axvline(ref, color='k', ls='-', lw=0.5)\n", + "axs[1].set_title('Well A')\n", + "axs[1].set_xlim(0, 300)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "timely-forward", + "metadata": {}, + "source": [ + "---\n", + "© 2021 Agile Scientific, licensed CC-BY / Apache 2.0" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}