{
 "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": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "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": "environmental-transfer",
   "metadata": {},
   "outputs": [],
   "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",
    "\n",
    "# Fancy indexing into the rocks with the model.\n",
    "impedance = rocks[w]\n",
    "\n",
    "# Make reflectivity.\n",
    "rc = (impedance[1:] - impedance[:-1]) / (impedance[1:] + impedance[:-1])\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 = np.apply_along_axis(np.convolve, arr=rc, axis=0, v=ricker, mode='same')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "reported-classroom",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1224x288 with 5 Axes>"
      ]
     },
     "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(impedance)\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": 5,
   "id": "diagnostic-journey",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPsAAAD7CAYAAACscuKmAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAY40lEQVR4nO3deZwU9Z3/8ddnhuGYA+ZgGIaZYVCCB3E94mS9YlZF4hk1eWhWjYYkbvCRTYxG8zPETeImaxLXK9GscUUjx5D1iDGLupzhEJBbQeUQIcJyiICAgCBnf35/TLMh6R7oYbq/3TP1fvrg0VPVNf35PNp+T1V9q7rK3B0Raf/yst2AiIShsItEhMIuEhEKu0hEKOwiEaGwi0REq8JuZheb2TIzW2FmQ9LVlIiknx3tcXYzywfeAQYCa4F5wHXuviR97YlIunRoxe/+PbDC3d8FMLNngCuBZsNeWNbRS3sVtqKkSNu3edVHAFT0KU77a3/43i52bd1ryZ5rTdhrgDWHTK8FzvjbhcxsMDAYoFt1F77xzD+0oqRI2zfi668CMOipc9L+2k9c+0qzz7Vmnz3ZX4+EfQJ3H+ruDe7eUFjWsRXlRKQ1WrNmXwvUHTJdC7zXunZE2r9zBx+XlbqtCfs8oJ+ZHQOsA64Frk9LVyLt2LFnVmal7lGH3d33m9m3gfFAPvCUuy9OW2ci7dT7b28DoOcJ3YLWbc2aHXcfA4xJUy8ikTD+vkVAZgboDkdn0IlEhMIuEhEKu0hEKOwiEdGqAToRabkLvnNiVuoq7CKB1Z1anpW62owXCWzNwi2sWbgleF2FXSSwyY8sZfIjS4PXVdhFIkJhF4kIhV0kIhR2kYjQoTeRwC6686Ss1FXYRQIL/dXWg7QZLxLYu7M38e7sTcHras0uEtj0oe8A4a9YozW7SEQo7CIRobCLRITCLhIRGqATCeyyH52SlboKu0hg3Y9J/z3eUqHNeJHAlk19n2VT3w9eV2t2kcBmj/wzAMef1zNoXa3ZRSJCYReJCIVdJCIUdpGI0ACdSGBX/fxTWamrsIsE1q1nl6zU1Wa8SGCLx61j8bh1wetqzS4S2PznVgHwyYtrgtbVml0kIhR2kYhQ2EUi4ohhN7M6M5tiZkvNbLGZ3RqfX25mE81sefyxLPPtisjRSmWAbj9wh7u/bmYlwGtmNhH4KjDJ3e81syHAEOD7mWtVpH245sGGrNQ94prd3de7++vxn3cAS4Ea4EpgRHyxEcBVGepRpF0pLOtEYVmn4HVbtM9uZn2A04A5QJW7r4emPwhAj2Z+Z7CZzTez+bu27m1luyJt38LRq1k4enXwuimH3cyKgT8At7n79lR/z92HunuDuzcUlnU8mh5F2pU3Rq/hjdFrgtdNKexmVkBT0H/n7i/EZ28ws+r489XAxsy0KCLpkMpovAG/BZa6+0OHPPUiMCj+8yBgdPrbE5F0SWU0/hzgRuAtM1sYn3cXcC/wnJndBKwGrslIhyKSFkcMu7vPAKyZpwektx0RyRR9EUYksOsfPSMrdRV2kcAKumQndjo3XiSwec+sZN4zK4PXVdhFAlsy4T2WTHgveF2FXSQiFHaRiFDYRSJCYReJCB16Ewls0FPnZKWu1uwiEaGwiwQ2c/gKZg5fEbyuwi4S2PJpG1g+bUPwugq7SEQEHaDrvH0fJ/4p/WcOuRkb+5WwpXdx2l9bpL0wdw9WrMHM5werJhI9XSlju29J+pV0bcaLRITCLhIRCrtIRIQ9g+7kTsTG16X/dd1h8i7sgS3Ywj1JF4kBU6hjFP1ZayXp70EkRe/6EgCOtf7pf3Gf1OxT7WPNbgYDivAxtcRGVuN/l3i3jTxgAGt4kvHc6XPp5R+F71ME2MJGtmThyuvtI+wHmcHAInx8LbFhPfFPJt6UIh8YyGqeYjx3+Hx6KvQSEe0r7AeZwcXF+IQ6Yk/2xE9IFnrnYlYxjPF811+jyndmoVGRcNpn2A/KM7isGJ9UR+zxKrxfQcIiHXAuZSXDGMet/jqVvisLjYpkXvsO+0F5BleU4FN6E/tNFd43MfQFOJfzLiMYyy2+gAr/OAuNShQU0IkCwt/FNewZdKd09rmZGI1vqQMOf/wIe2gLtnJf0kX2ksf/cCzPcDxbrEvgBkWOzhyfpDPo/kq+wdUl+LTexH7VA69PPALZkRhfYAUjGcvN/galvjsLjYqkTzTDflAHg3/sik+vJ/ZgD7wuMfSdiHE1y2lkLN/wN+nmyY/ji6Rqhb/FCn8reN1oh/2gAoPru+Iz6ondV4n3Sgx9Zw7wJd6hkTHc5G/RVaGXo/Qhm/mQzcHrKuyH6mhwYzd8Zj2xeyvx6vyERbpwgGtZRiNj+ZovosT3ZqFRkZZT2JPpZDAoHvp7uuNViaEvZD/X8zaNjOErvpgihV5ynMJ+OJ3z4KZSfFY9sX/tjlcmhr6I/dzIUkYxlht8CYWefHRfJNsU9lR0yYObS/HZ9cTursArEkNfzD4GsYRGxnCdL6WLQi/N6EwhnSkMXjeax9lba2cMhm/DHt2KbY0lXWQbHfk9xzGaT7DbdHl+CUPH2dOtKA++VYbP7UNsSDlemvg2dmMv/8QiGhnD1b6MTr4/C42K/EXKYTezfDNbYGYvx6fLzWyimS2PP5Zlrs0cVZwHt5Y3hf7Ocrxb4ttZyl5u5i0aGcsX/R06+oEsNCq5ZJkvZJkvDF63JWv2W4Glh0wPASa5ez9gUnw6mkry4Lvl+Jx6/I4yvCTxbS1jD9/kTUYylit9BQUKfWTt4EN28GHwuimF3cxqgcuAJw+ZfSUwIv7zCOCqtHbWFnXLx79X0RT6W8vwosRdpwp2820WMoJxfN7/rNBLMKmu2X8F3EnT1Z0OqnL39QDxxx7JftHMBpvZfDObv2lzRD7YZfn4kAp8bh/826V4YWLoK/mY77CA4YzjMn+XDp58oE8kXY4YdjO7HNjo7q8dTQF3H+ruDe7eUJnkkFW7Vp6P/0t3fE4f/J9L8S6Joe/Bx9zG6wxjHJf4SvIVesmQVNbs5wBXmNkq4BngAjMbBWwws2qA+GP4i2q1Fd3z8R91b9q8H9wN75wY+p7s4nZeYxjjuchXkafQt1tFlFBE+Iuetug4u5mdB3zP3S83s/uBze5+r5kNAcrd/c7D/X67Oc7eWhv2Y/+xFRq3Y3uSv//rKGYUJzKZOmKmI6SSmkwdZ78XGGhmy4GB8WlJRVUH/N8q8Vn1+Ne64YmXyKOGj/g+83iSCZzvq8kLePKTtE86gy4XrNuHPbIVnt6ONXOW7f9SQiP9mUYtbkn/cEsbsTQ+/HWinZ7219YZdLmupgD/9x74q/X4l7viSc6urWcHP2QOjzORc30tpjV9m7WTHexkR/C6CnsuqSvAH4iH/roSPMnBi2PYzo+ZzWP8ibN9XdPdcERSoLDnot4F+ENV+PTe+DUleJL/S33Zxk+YxW+YxJn+nkIvR6Sw57JjOuKPVOHTeuNfLMaT7In140P+jZn8B5P5e1+v0EuzFPa2oG9H/NGe+NTe+FXJQ388W/kZr/IIU2jw9xX6HFZCKSWUBq+r0fi26O092INbsJebv2XVYioYQX8W0KPpdlgSCRqNb29O6IQ/UU1sUh1+aVHSRT7JZu5jOg/yCie7Tm4Uhb1t698J/201sYl1+EXJQ38yH/Ag07jfX+Ek3xS4QUlmkc9lkc8NXldhbw9O6oQPryY2rha/MPm1zU5lE7/kFe71afT3DwI3KIfazS52E/4Gogp7e3JKZ7yxF7Extfj5yUN/Oht5mKn83Kdzgoe/UYFkj8LeHp3WGf+vXsReqsE/m/ymlJ9mA79mCvf4DI7zLYEblGxQ2Nuzhi74szXE/rsG/0zy0J/B+zzKZH7qr9LXtwZuUEJS2KPgjC7472uI/aEGP7Nz0kXOYj3/ySTu9pkc6x+G7S9iSqmglIrgdXWcPWrcYcbH2P1bsHnN34Z6GjU00p9V1i1gc9JaOs4uf2EG5xbio2uIPd0LP71T0sU+yzoeZyJ3+Wx6+/bATUomKOxRZQbnFeIv1RIbVY2fmhj6POB81vIEExjic6j18F/LbI/e8Fm84bOC11XYo84MBhThY2qJjazGT0oe+gGs4UnGc6fPpZd/FL7PdmQfe9jHnuB1FXZpYgYDi/AJtcSe6on3T7xWVj4wkNU8xXi+5/PoqdC3KQq7/DUzuKQYn1hH7Ime+AnJQu9cxP8yjPHc7vOp8ua/kCO5Q2GX5PIMLi/GJ9URe7wK71eQsEgHnEtYxXDGcau/TqWHPwVUUqewy+HlGVxRgk/pTew3VXjf5KG/nHcZzjhu8QV0V+gPq5welCe/gVJG6Ti7tMwBhz9+hD20BVuZ/FK4e8njfziWZzieLZb8zD3JDB1nl/TJN7i6BJ/Wm9jDPfD6xEvhdiTGF1jBSMZys79BqTd/8o6Eo7DL0elg8KWu+PR6Yg/2wOsSQ9+JGFeznEbG8g1/k24e/nBTLlrg01ng04PXVdildQoMru+Kz6gndl8l3isx9J05wJd4h0bG8HV/i5KIh/5A/L/QFHZJj44GN3bDZ9YT+0UlXp140fsuHOA6ljGKsXzVF1Hie7PQaHQp7JJenQy+Gg/9Pd3xqsTQF7KfL/M2jYzhK76YIoU+CIVdMqNzHtxUis+qJ/aT7nhlYuiL2M+NLGUUY7nBl1DozdzoTtJCYZfM6pIHg0vx2fXE7q7AKxJDX8w+BrGERsZwvS+lSzsPfSXVVFIdvK6Os0tYu2IwbBv26FZsayzpItvpyHMcx2g+wW5LcpdLaZaOs0vuKMyDb5Xhc/sQG1KOlyZ+BLuyl39iEY2M4WpfRiffn4VG2x+FXbKjOA9uLW8K/f8rx7slfhRL2cvNvEUjY/miv0NHD3+4KhPm+1Tm+9TgdRV2ya6SPLi9HJ9Tj99RhpckfiTL2MM3eZORjOUqX05BOwl9aAq75IZu+fj3KvC59fhtZXhx4m5nBbv5Fm8wkrFc4SsU+hZS2CW3lObj36/A5/TBbynDCxND353d3MJChjOOy/xdOnjygT75aymF3cxKzex5M3vbzJaa2VlmVm5mE81sefyxLNPNSoSU5+N3xUP/z6V4l8TQ9+BjbuN1hjGOS3wl+Qr9YaW6Zn8YGOfuJwCnAEuBIcAkd+8HTIpPi6RX93z8R92b9ukHd8M7J4a+J7u4ndcYxng+56vIy/HQV1FHFeEPQR/xOLuZdQXeAI71QxY2s2XAee6+3syqganufvzhXkvH2aXVNuzHfr0VRm3H9iT/7K6jmFGcyGTqiFm09lRbe5z9WGATMMzMFpjZk2ZWBFS5+3qA+GPSS2+Y2WAzm29m8zdt1oCKtFJVB/yeSnxWPf71bnjiJfKo4SO+zzyeZALn+2ryAp44looDvp8DWTh3IJWwdwA+BTzm7qcBO2nBJru7D3X3BndvqExyqqTIUanugP+sEp9Zj3+lK554tSzq+Ii7mMtQJvAPvgbLkdAvYAYLmBG8biphXwusdfc58ennaQr/hvjmO/HHjZlpUeQwagrwf++Bv1qPf7krnuTs2np28EPm8DgTOdfX5kzoQzti2N39fWCNmR3cHx8ALAFeBAbF5w0CRmekQ5FU1BXgD8RDf10JnmQj8hi282Nm8xh/4hxf13TfuwhJ9VsGtwC/M7OOwLvA12j6Q/Gcmd0ErAauyUyLIi3QuwB/qApuKYNfboU/7MD+ZnC+L9v4V2axnFIavT+zqG66Xn47p2+9Sfv2573YQ1uarojbzEd9GWWMpD9z6Rkk9AfPi2+w89L+2vrWm0RX3474oz3xqb3xq4rxJDE4nq38jFd5hCk0+PsZ37zvRR960SejNZLRml2iZdke7MGt2EvN36duMRWMoD8L6NHmNu+1Zhc56PhO+NCexCbV4ZcWJV3kk2zmPqbzIK9wiqf/INNe38PeLFxhV2GXaOrfCf9tNbGJdfhFyUN/Mh/wANO431/hJN+UttJvMos30f3ZRcI6qRM+vJrYuFr8wsKki5zKJn7JK9zr0+jvHwRuMH0UdhGAUzrjjb2IjanFz08e+tPZyMNM5ec+nRN8c+AGW09hFznUaZ3x/+pF7KUa/LPJb0r5aTbwa6Zwj8/gON8SuMGjp7CLJNPQBX+2htgfa/Bzkof+DN7nUSbzU3+Vvr41cIMtp+v0ihzOmV3w52vwmbuw+7dgsxPvSHsW6zmL9czwXoykPyut9LAvWUvfDDV7eAq7SCrOLsRf6ILP+Lgp9PMSQ/8Z3uMzvMc0r6GR/qyybklfqqdl51wTbcaLpMoMzi3ER9cQe7oXfnqnpIt9lnU8zkTu8tn09u0Jz+/2Xez2XZnuNoHCLtJSZnBeIf5SLbFR1fipiaHPA85nLU8wgSE+h1rf8X/PLWIui5gbsOG/9CQiR8MMBhThY2qJjazGT0oe+gGs4am88dzpc+nlzZ+mm2naZxdpLTMYWIRfWIiP24k9uAVb/Ne3obYYDGQ1F7CGp+nIVDpyjK9JeytzDvOcvggjkm4xhzHx0L8d9t7zXSnTF2FEgskzuLwYn1RH7PEqvF+SC+RlyHEnNz/wp7CLZEqewRUl+JTexH5ThfcNF/pktM8ukmn5Bl8owT9fjL/0EfbKLtidod3nlfuafUphFwmlQ1Po3/67plH74z+R5KL3rXVR84N+CrtIYN+8s+mCGJNfqA1aV/vsIhGhsItEhMIuEhEKu0hEaIBOJLC7bivPSl2FXSSwCz+b/Bp3mabNeJHAFi7aw8JF4a8brzW7SGC3/7jpGvQ6zi4iGaGwi0SEwi4SEQq7SERogE4ksHt+UJGVugq7SGBnfzr5HWYyLaXNeDP7rpktNrNFZva0mXU2s3Izm2hmy+OPZZluVqQ9mDnvY2bO+zh43SOG3cxqgO8ADe5+EpAPXAsMASa5ez9gUnxaRI7gh7/YzA9/Ef4usKkO0HUAuphZB6AQeA+4EhgRf34EcFXauxORtDli2N19HfAAsBpYD2xz9wlAlbuvjy+zHuiR7PfNbLCZzTez+Zs2H0hf5yLSIqlsxpfRtBY/BugFFJnZDakWcPeh7t7g7g2VFflH36mItEoqm/EXAivdfZO77wNeAM4GNphZNUD8cWPm2hSR1krl0Ntq4EwzKwQ+BgYA84GdwCDg3vjj6Ew1KdKePPTTyqzUPWLY3X2OmT0PvA7sBxYAQ4Fi4Dkzu4mmPwjXZLJRkfbi1CQ3gAwhpZNq3P1u4O6/mb2HprW8iLTAn6Y13aIp9EUsdAadSGA//9UWIHzY9UUYkYhQ2EUiQmEXiQiFXSQiNEAnEthj9yU9szzjFHaRwDJyq+YUaDNeJLCXJuzkpQk7g9fVml0ksF/+51YAPv+5oqB1tWYXiQiFXSQiFHaRiFDYRSJCA3QigY34dVVW6irsIoHV1RRkpa4240UCe3b0Dp4dvSN4Xa3ZRQJ7fMQ2AP7xypKgdbVmF4kIhV0kIhR2kYhQ2EUiQgN0IoE990R1Vuoq7CKBdc/SbdC0GS8S2PBntzP82e3B6yrsIoGNfHY7IxV2EckUhV0kIhR2kYhQ2EUiQofeRAJ7eVSvrNRV2EUCKyzMzga1NuNFAnts+DYeG74teF2FXSSw37+4g9+/GP7iFQq7SEQo7CIRobCLRITCLhIR5u7hipltAnYCHwQr2nrdaTv9tqVeoW3121Z6rXf3ymRPBA07gJnNd/eGoEVboS3125Z6hbbVb1vqtTnajBeJCIVdJCKyEfahWajZGm2p37bUK7StfttSr0kF32cXkezQZrxIRCjsIhERLOxmdrGZLTOzFWY2JFTdVJlZnZlNMbOlZrbYzG6Nzy83s4lmtjz+WJbtXg8ys3wzW2BmL8enc7nXUjN73szejr/HZ+Vqv2b23fhnYJGZPW1mnXO115YIEnYzywceBS4B+gPXmVn/ELVbYD9wh7ufCJwJfCve4xBgkrv3AybFp3PFrcDSQ6ZzudeHgXHufgJwCk1951y/ZlYDfAdocPeTgHzgWnKw1xZz94z/A84Cxh8y/QPgByFqt6Ln0cBAYBlQHZ9XDSzLdm/xXmpp+tBdALwcn5ervXYFVhIfED5kfs71C9QAa4Bymi7u8jLwuVzstaX/Qm3GH3wDD1obn5eTzKwPcBowB6hy9/UA8cceWWztUL8C7gRih8zL1V6PBTYBw+K7HU+aWRE52K+7rwMeAFYD64Ft7j6BHOy1pUKF3ZLMy8ljfmZWDPwBuM3dw1/JPwVmdjmw0d1fy3YvKeoAfAp4zN1Po+n7ETm5GRzfF78SOAboBRSZ2Q3Z7So9QoV9LVB3yHQt8F6g2ikzswKagv47d38hPnuDmVXHn68GNmarv0OcA1xhZquAZ4ALzGwUudkrNP3/X+vuc+LTz9MU/lzs90Jgpbtvcvd9wAvA2eRmry0SKuzzgH5mdoyZdaRpwOPFQLVTYmYG/BZY6u4PHfLUi8Cg+M+DaNqXzyp3/4G717p7H5rey8nufgM52CuAu78PrDGz4+OzBgBLyM1+VwNnmllh/DMxgKbBxFzstWUCDnxcCrwD/Bn4l2wPViTp7zM07Vq8CSyM/7sUqKBpIGx5/LE8273+Td/n8ZcBupztFTgVmB9/f/8bKMvVfoGfAG8Di4BGoFOu9tqSfzpdViQidAadSEQo7CIRobCLRITCLhIRCrtIRCjsIhGhsItExP8H+UlOXdnwNBkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w, top, base, ref = bg.models.wedge(strat=rocks)\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": "international-domain",
   "metadata": {},
   "source": [
    "Now the wedge contains rock properties, not integer labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "combined-relaxation",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n",
       "       6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n",
       "       6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n",
       "       6.148, 6.148, 6.148, 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 ,\n",
       "       6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 ,\n",
       "       6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.157, 6.157, 6.157,\n",
       "       6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n",
       "       6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n",
       "       6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n",
       "       6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n",
       "       6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n",
       "       6.157])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w[:, 50]"
   ]
  },
  {
   "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": 7,
   "id": "hidden-phone",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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WGADcbmZnA2uBUwHcfYWZ3Q68DHQDP9SkjIj0Kkdtmy1rVgAwcvKM1O+rr3QSk4hkV0ZPkirSnLuISOtp2qbP2u8nFpF8ylHbJgsU7iKSLwWYtmkFhbuI5JfaNjXpgKqIFEsL3pJ42/ubARgyfHQiJfdVvQOqCncRKa6MTtskReEuIpLgSVKbO54DYPRBh6VWbiM0CikikuC0zTsvl97kNnS416NwF5H2ksC0zVU7utmY8YOwasuIiEBzbRvgjYGDGDxsVEtKq2X/re+oLSMiUlczbRvgwB3dsPWd1tfZoAGhCxARyZRy2+Yf98KXT2Hntfvi3xiGDwxdWHO05y4iUkuTJ0llicJdRKQR8bbNxh3wQf2To1ri6LU1r1K4i4g0w4zrH/0QgDP/KrsnOqnnLiLSpBsXbuXGhVtDl1GXwl1EpIAU7iIiBaRwFxEpIIW7iEgBaVpGRKRJ9960X+gSeqVwFxFp0tCh2W96ZL9CEZGMufr6LVx9/ZbQZdSlcBcRadIdi7q4Y1FX6DLqUriLiBSQwl1EpIAU7iIiBaRwFxEpoEz8mz0z6wJWha6jAWOB7P7rlc+ozmSpzmTloc481Aiwv7vvVe2KrMy5r6r1fwCzxMyeVZ3JUZ3JUp3JyUONvVFbRkSkgBTuIiIFlJVwXxC6gAapzmSpzmSpzuTkoca6MnFAVUREkpWVPXcREUlQ8HA3s+PNbJWZdZjZ/IB1TDSz/zOzlWa2wszOjZZfamZvmtny6GN27HsujupeZWbfaGGta8zsxaieZ6NlY8zsITN7Nfo8OmSdZjYtts2Wm9lWMzsvC9vTzK4zs41m9lJsWdPbz8wOjx6HDjP7DzOzFtR5hZm9YmYvmNlvzGxUtHyymX0U266/DFxn049zoDoXxmpcY2bLo+XBtmdi3D3YBzAQWA0cAAwBngemB6plHDAzurwH8AdgOnAp8JMq60+P6t0NmBL9HANbVOsaYGzFssuB+dHl+cDPQ9dZ8Ti/Beyfhe0JzAJmAi/1Z/sBvwf+DDDgAeCEFtT5dWBQdPnnsTonx9eruJ0QdTb9OIeos+L6fwV+Fnp7JvURes/9SKDD3V9z923AbcCcEIW4+3p3XxZd7gJWAuPrfMsc4DZ3/8TdXwc6KP08ocwBbogu3wCcHFseus6vAavd/Y0667SsTnf/HfBulftvePuZ2ThghLs/5aXf+Btj35Nane7+oLt3R18+DUyodxuh6qwjU9uzLNr7Pg24td5ttKLOpIQO9/HAH2Nfd1I/UFvCzCYDhwFLokU/iv4Mvi7253rI2h140MyWmtm8aNk+7r4eSi9UwN4ZqLNsLrv+0mRte0Lz2298dLlyeSudRWnPsWyKmT1nZo+Z2VejZSHrbOZxDr09vwpscPdXY8uytj2bEjrcq/Wqgo7vmNlw4NfAee6+FbgaOBD4ErCe0p9uELb2o919JnAC8EMzm1Vn3aDb2MyGACcBd0SLsrg966lVV+jtegnQDdwcLVoPTHL3w4DzgVvMbATh6mz2cQ79+H+XXXdAsrY9mxY63DuBibGvJwDrAtWCmQ2mFOw3u/tdAO6+wd13uPtO4Fd81ioIVru7r4s+bwR+E9W0IfqTsfyn48bQdUZOAJa5+wbI5vaMNLv9Otm1JdKyes3sDOBE4PSoNUDU5tgUXV5KqZd9cKg6+/A4h9yeg4BvAwvLy7K2PfsidLg/A0w1synRHt5cYFGIQqKe27XASnf/t9jycbHVvgWUj7QvAuaa2W5mNgWYSulAS9p1DjOzPcqXKR1geymq54xotTOAu0PWGbPLHlHWtmdMU9svat10mdmfRs+d78W+JzVmdjxwEXCSu38YW76XmQ2MLh8Q1flawDqbepxD1Rk5FnjF3T9tt2Rte/ZJ6CO6wGxKkymrgUsC1vEVSn9evQAsjz5mA/8NvBgtXwSMi33PJVHdq2jREXNKk0XPRx8rytsM2BN4BHg1+jwmZJ3R/Q4FNgEjY8uCb09KLzbrge2U9sTO7sv2A46gFFqrgauITgpMuc4OSj3r8nP0l9G634meD88Dy4C/DFxn049ziDqj5dcD/1CxbrDtmdSHzlAVESmg0G0ZERFJgcJdRKSAFO4iIgWkcBcRKSCFu4hIASncRUQKSOEuIlJACncRkQL6f94IMUqO/J9jAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "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": 8,
   "id": "frequent-dominant",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "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": 9,
   "id": "reduced-modeling",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "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": 10,
   "id": "elementary-leeds",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "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": 11,
   "id": "defined-cassette",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 4 Axes>"
      ]
     },
     "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": 12,
   "id": "plastic-lafayette",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "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": 13,
   "id": "sublime-poverty",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "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": 14,
   "id": "psychological-spanish",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((100, 100, 100), (100, 100), (100, 100), 89)"
      ]
     },
     "execution_count": 14,
     "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": 15,
   "id": "polish-shirt",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x288 with 3 Axes>"
      ]
     },
     "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": 16,
   "id": "indirect-booth",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3EAAAEICAYAAADxxn1sAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8vihELAAAACXBIWXMAAAsTAAALEwEAmpwYAAAZzklEQVR4nO3de7Ctd1kf8O9DriYx5RYgJJFLPQUiEy5zFBSnTQneMBorYlFwUsXGVpGLYSSgltrWDlXHCcxUJQNCpiCCSAmlDkijcbDTSTkBbyGNIoTkwDEJ9xAFEvL0j/WeYXM8l72z19pr/fb6fGbW7L3e913rffbKWt+c533etVZ1dwAAABjDfZZdAAAAAJuniQMAABiIJg4AAGAgmjgAAICBaOIAAAAGookDAAAYiCaOuaqq86tq/4br11fV+curCGD+ZB2wDmTd6tLEzUFV3VRVt1bVqRuW/XhVXbPJ27++qv7Twgpcou7+hu6+ZpH7qKpfrqpbqupzVfXRqvq5Q9Y/vqquq6q/m34+fpH1wG4l645sh7Lu9VX1par6/IbLcRvWyzqYA1l3ZDuUdWdV1VVV9amq2l9V/+aQ9bIumrh5Oj7JC5ZdRJJU1fHLrmGHvTbJo7v79CTfkuSHq+r7k6SqTkxyVZI3JLlfkiuTXDUtB7ZO1i3XL3f3aRsuX05kHSyArFueNyT5SJIHJ/nuJP+5qv55Ius20sTNz68keXFV3fdwK6vq0VX1numowo1V9YPT8kuSPDvJz05HVf/HEW7/xKr6QFXdUVW/W1VvPniU5+Cou6peUlV/m+R1VXVSVV1eVR+fLpdX1UnT9g+sqndW1Wemet5bVfeZ1r2kqj427efGqrrgCPU8vao+OG33sap68RG2u6mqnjb9flxVvayq/ma63XVVdc7RHp/N6O4bu/vODYvuSfL10+/nZxbEl3f3F7v7VUkqyVM3e//AV5F1h99u4Vl3DOdH1sE8ybrDb7fQrKuq0zLLs1/q7ru6+8+SvDXJj02bnB9Zl0QTN0/7klyT5B886Ws2jn9Pkt9O8qAkP5Tk16vqG7r7iiRvzFeOrn7PdJtfr6pfn34/Mcl/T/L6JPdP8qYk/+KQ3TxkWvewJJck+bkkT07y+CSPS/JNSX5+2vbSJPuTnJHZUY6XJemqelSS5yX5xu7+2iTfkeSmI/y9r03yE9N2j03yh8d+iPIz09/+9CSnZ/aC/LujPT7T3//DVfXnR7vjqrqsqj4//V2nTveVJN+Q5M+7uzds/ufTcmDrZN2xLSzrkvzk9I+i66rqGRuWyzqYL1l3bIvIujrk58HfHzv9Lusmmrj5+ndJfrqqzjhk+YVJburu13X33d39/iS/l+QHjnRH3f2T3f2T09UnZ3bU4VXTUYm3Jfm/h9zkniQvn45K/H1mR4H+Q3ff1t23J/nFJD8ybXtXkjOTPGy6v/dOL4YvJzkpyblVdUJ339Tdf3OEEu+atju9uz89/U3H8uNJfn6anHV3/1l3f/JYj093/3Z3n3e0O+7uVyT52iRPTPLfknx2WnXaht8P+uy0LXDvyLqjW1TWvSrJnsz+UfQLSV5fVU+Z1sk6mD9Zd3Rzz7ruviPJ/07yC1V1clU9MckzkpwybSLrJpq4Oeruv0zyziSXHbLqYUmeNI25P1NVn8nsxfiQTd71Q5N87JCjDrccss3t3f2FQ27z0Q3XPzotS2anCHwoyR9U1Yer6rKp/g8leWGSf5/ktqr6nap6aA7vGZkdefloVf1xVX3zJv6Oc5IcLjy2+/hkqr+7+wNJ/j6zcEuSz2d2dGij05PcsZX7Br5C1h3TQrKuu9/f3Z+c/lH0+5kd7f/+abWsgzmTdce0qH/XPTvJIzJ7TH4js6w7+AmZsm6iiZu/lyf510nO2rDsliR/3N333XA5rbv/7bS+/8G9fLUDSc6qqo2j5XMO2ebQ+/h4Zi+ig75uWpbuvqO7L+3uRyb5niQ/c/Ac6enoyLdOt+0k/+VwBXX3+7r7osyOCL89yVuO8Tcks8fhHx9h+dEen606fsN+rk9y3iGP3XnTcuDek3VHtlNZ1/nKKUeyDhZD1h3ZQrKuuz/a3Rd29xnd/aQkD8hXJpWybqKJm7PpqMebkzx/w+J3JvknVfUjVXXCdPnGqnrMtP7WJI88yt3+n8xG4s+rquOr6qLMzoU+mjcl+fmqOqOqHpjZKQFvSJKqurCqvn56AXxuuu8vV9WjquqpNXuj7Bcym2h9+dA7rqoTq+rZVfWPuvuuDfdxLK9J8h+rak/NnFdVD9jE43NEVXWfqvqJqrrfdJ/flOSnklw9bXLNVNvza/am4OdNyzdzrjdwBLLuqOaedVM9P1BVp0259+1JnpPkHdPqayLrYO5k3VEtKuseU1VfO9X1nCTfnuTXptXXRNbNdLfLNi+ZvUn0aRuun5PZi+WaDcseleR/Jrk9yScze7I9flq3J8mfJvlMkrdPy34zyW9uuP3eaZvPJ/ndJG9L8gvTuvOT7D+kppMze//EgenyqiQnT+teNNV8Z2bj6YP3c15mRzruSPKpzF6EDz3M33tikncl+XRmL/T3JfnWw9Wy8bFJclxmb8L9yLSP9yU5exOPz7OTXH+Ex/4+Uy2fmh6bv8rsDb21YZsnJLkus/B6f5InLPs54+Iy4kXWLS/rpvXvzey9H59L8mdJnnXIelnn4jKHi6xbeta9cLrdnUn+JMneQ9bLuu7ZP3QZT1Vdm1kYvG7ZtQAsiqwD1oGsY6ucTjmIqvpnVfWQaex+cWZHV9617LoA5knWAetA1rFd6/YN8CN7VGZvMj0ts08C+oHuPrDckgDmTtYB60DWsS3bOp2yqr4zySszOyf2NT37ri6AXUXWAetA1sE47nUTV1XHZfYhEt+W2Zso35fkh7r7g/MrD2C5ZB2wDmQdjGU7p1N+U5IPdfeHk6SqfifJRUmO+GI/sU7qk3PqNnYJHM0Xcme+1F+sY2/JFsg6WDGybiFkHaygO/LpT3T3GYcu304Td1a++tvl9yd50qEbVdUlSS5JkpNzSp40++5BYAGu7auPvRFbJetgxci6hZB1sIL+V7/1o4dbvp1PpzzcEbB/cG5md1/R3Xu7e+8JOWkbuwNYClkHrANZBwPZThO3P7MvPzzo7CQf3145ACtH1gHrQNbBQLbTxL0vyZ6qekRVnZjkWUneMZ+yAFaGrAPWgayDgdzr98R1991V9bwk787so2h/q7uvn1tlACtA1gHrQNbBWLb1Zd/d/ftJfn9OtQCsJFkHrANZB+PYzumUAAAA7DBNHAAAwEA0cQAAAAPRxAEAAAxEEwcAADAQTRwAAMBANHEAAAAD0cQBAAAMRBMHAAAwEE0cAADAQDRxAAAAA9HEAQAADEQTBwAAMBBNHAAAwEA0cQAAAAPRxAEAAAxEEwcAADAQTRwAAMBANHEAAAAD0cQBAAAMRBMHAAAwEE0cAADAQDRxAAAAA9HEAQAADEQTBwAAMBBNHAAAwEA0cQAAAAPRxAEAAAxEEwcAADAQTRwAAMBANHEAAAAD0cQBAAAMRBMHAAAwEE0cAADAQDRxAAAAAzlmE1dV51TVH1XVDVV1fVW9YFp+/6p6T1X99fTzfosvF2AxZB2wDmQd7A6bmcTdneTS7n5Mkicn+amqOjfJZUmu7u49Sa6ergOMStYB60DWwS5wzCauuw909/un3+9IckOSs5JclOTKabMrk3zfgmoEWDhZB6wDWQe7w5beE1dVD0/yhCTXJnlwdx9IZoGQ5EFHuM0lVbWvqvbdlS9us1yAxZN1wDqQdTCuTTdxVXVakt9L8sLu/txmb9fdV3T33u7ee0JOujc1AuwYWQesA1kHY9tUE1dVJ2T2Qn9jd79tWnxrVZ05rT8zyW2LKRFgZ8g6YB3IOhjfZj6dspK8NskN3f1rG1a9I8nF0+8XJ7lq/uUB7AxZB6wDWQe7w/Gb2OYpSX4kyV9U1Z9Oy16W5BVJ3lJVz01yc5JnLqRCgJ0h64B1IOtgFzhmE9fdf5KkjrD6gvmWA7Acsg5YB7IOdoctfTolAAAAy6WJAwAAGIgmDgAAYCCaOAAAgIFo4gAAAAaiiQMAABiIJg4AAGAgmjgAAICBaOIAAAAGookDAAAYiCYOAABgIJo4AACAgWjiAAAABqKJAwAAGEh1947tbG9V79uxvcH6OXXPQ3LnXx2oZdex7mQdLJasWw2yDhavkuu6e++hy03iAAAABqKJAwAAGIgmDgAAYCDH7+TOPvjAs/OEZ7xoJ3fJijnh+25fdgm72/Nfv+wKiKxjte2KHJZ1K0HWsS6Wmpvf9YrDLt7RJm6ZdsX/tAAYgv/nACzXbs9hp1MCAAAMZG0mcXe9/Yxll3BEu/1IAcC8yU2A3UWub41JHAAAwEDWZhK3ylZ5SrjKHLGBxfIaA+Bo/H9ieUziAAAABmISx7BWeYLpyBRb5TkDwKL5f83uYRIHAAAwEJM4jsoRG9gZqzhZ9voHWC45zJGYxAEAAAxEEwcAADCQtTmd0jgaYGtW8RTPg2Q6sKrkEzvBJA4AAGAgazOJW+UjyvPk6A+wDlY902UxjMPrlRGZxAEAAAxk05O4qjouyb4kH+vuC6vq/knenOThSW5K8oPd/elFFMnmrfrR6VXmSByJrGM+VjmLZR3J+Fnnecy628ok7gVJbthw/bIkV3f3niRXT9cBRifrgHUg62Bgm5rEVdXZSb47yS8l+Zlp8UVJzp9+vzLJNUlecrT7OfcT+7Pv1Zfemzph8V697AK279Q9D1l2CUObV9bBKlvFKaGpys5aZtb5bw3zsdlJ3OVJfjbJPRuWPbi7DyTJ9PNBh7thVV1SVfuqat92CgXYAZdnDll39xfuXHihANtweWQdDO2Yk7iqujDJbd19XVWdv9UddPcVSa5Ikr1VvdXbA5v3mK9Z2bcvrLx5Zt0pZ5wj61hZJiHrbdlZN69JsOcx624zp1M+Jcn3VtXTk5yc5PSqekOSW6vqzO4+UFVnJrltkYUCLJisA9aBrINd4JhNXHe/NMlLk2Q6YvPi7n5OVf1KkouTvGL6edUx93beSbnn3edso1zgqL7jlmVXMKy5Zh3AipJ1sDts58u+X5HkLVX13CQ3J3nmfEoCWCmyji1zqhcDGirr5vkBPV6vjGhLTVx3X5PZpxWluz+Z5IL5lwSwXLIOWAeyDsa1nUkcACyFI+fAvMz7azfkEzthK1/2DQAAwJKZxAFwWI4mA2yd9+uxE0ziAAAABmISB7ACHG0F4FDer8eRmMQBAAAMxCQOYAXM+2jrPDhiC7C7mOztHiZxAAAAAzGJA+CwVnE6eJCjvwDL55M4l8ckDgAAYCCaOAAAgIE4nRKA4azyqZ6J04IAtsqHrmyNSRwAAMBATOIAYM5WeVK4249OAyS7/0NXTOIAAAAGYhIHMGfnfmJ/9r360mWXAYf36mUXsH2n7nnIsksA1si8pnrznOiZxAEAAAxEEwcADOUxX/PpZZcAsFSaOAAAgIF4TxzAvJ13Uu559znLrgJ2r++4ZdkVAGvEp1MCAACwLZo4AACAgTidEgAA2FVW8RTIeTKJAwAAGIhJHAAAsFS7fXI2byZxAAAAAzGJAwAAtsz0bHlM4gAAAAZiEgcAAGvA5Gz3MIkDAAAYiEkcAACsIJMzjsQkDgAAYCAmcQAAMCemZ+wEkzgAAICBaOIAAAAGsqnTKavqvklek+SxSTrJjyW5Mcmbkzw8yU1JfrC7P72IIgF2gqwD1oGs+2pOf2REm53EvTLJu7r70Ukel+SGJJclubq79yS5eroOMDJZB6wDWQeDO+YkrqpOT/JPk/yrJOnuLyX5UlVdlOT8abMrk1yT5CWLKBJg0WQdsA52S9aZnrHuNjOJe2SS25O8rqo+UFWvqapTkzy4uw8kyfTzQYe7cVVdUlX7qmrf7Z/88twKB5gzWQesg7ll3d1fuHPnqga+ymbeE3d8kicm+enuvraqXpktjNi7+4okVyTJ3sed3PeqSoDFk3XAOphb1p1yxjlbzjoTNJiPzUzi9ifZ393XTtffmtmL/9aqOjNJpp+3LaZEgB0h64B1IOtgFzjmJK67/7aqbqmqR3X3jUkuSPLB6XJxkldMP69aaKUACyTrgHWw7Ky76+1nzOV+TPRYd5v6ioEkP53kjVV1YpIPJ/nRzKZ4b6mq5ya5OckzF1MiwI6RdcA6kHUwuE01cd39p0n2HmbVBXOtBmCJZB2wDnZD1s1ropeY6jGmzX5PHAAAACtAEwcAADCQzb4nDgAAdp15npqZOD2TnWESBwAAMBCTOAAAmBMfusJOMIkDAAAYiEkcAACsIO/X40hM4gAAAAZiEgcAAGvAZG/3MIkDAAAYiEkcAACwZT6Jc3lM4gAAAAZiEgcAACyV9+ttjUkcAADAQEziAADYsnM/sT/7Xn3pssuAw3v1sguYjzrCcpM4AACAgWjiAAAABqKJAwAAGIj3xAEAsHXnnZR73n3OsquA3e3MDx12sUkcAADAQDRxAAAAA9HEAQAADEQTBwAAMBBNHAAAwEA0cQAAAAPRxAEAAAxEEwcAADAQTRwAAMBANHEAAAAD0cQBAAAMRBMHAAAwEE0cAADAQDRxAAAAA9HEAQAADGRTTVxVvaiqrq+qv6yqN1XVyVV1/6p6T1X99fTzfosuFmCRZB2wDmQdjO+YTVxVnZXk+Un2dvdjkxyX5FlJLktydXfvSXL1dB1gSLIOWAeyDnaHzZ5OeXySr6mq45OckuTjSS5KcuW0/sok3zf36gB2lqwD1oGsg8Eds4nr7o8l+dUkNyc5kOSz3f0HSR7c3QembQ4kedDhbl9Vl1TVvqrad/snvzy/ygHmSNYB60DWwe6wmdMp75fZ0ZlHJHloklOr6jmb3UF3X9Hde7t77xkPOO7eVwqwQLIOWAeyDnaHzZxO+bQkH+nu27v7riRvS/ItSW6tqjOTZPp52+LKBFg4WQesA1kHu8Bmmribkzy5qk6pqkpyQZIbkrwjycXTNhcnuWoxJQLsCFkHrANZB7vA8cfaoLuvraq3Jnl/kruTfCDJFUlOS/KWqnpuZoHwzEUWCrBIsg5YB7IOdodjNnFJ0t0vT/LyQxZ/MbOjNwC7gqwD1oGsg/Ft9isGAAAAWAGaOAAAgIFo4gAAAAaiiQMAABiIJg4AAGAgmjgAAICBaOIAAAAGookDAAAYiCYOAABgIJo4AACAgWjiAAAABqKJAwAAGIgmDgAAYCCaOAAAgIFo4gAAAAaiiQMAABiIJg4AAGAgmjgAAICBaOIAAAAGookDAAAYiCYOAABgIJo4AACAgWjiAAAABqKJAwAAGIgmDgAAYCCaOAAAgIFo4gAAAAaiiQMAABiIJg4AAGAgmjgAAICBaOIAAAAGookDAAAYiCYOAABgIJo4AACAgWjiAAAABqKJAwAAGIgmDgAAYCDV3Tu3s6rbk9yZ5BM7ttPte2DGqXekWpOx6h2l1od19xnLLmLdybqFG6nWZKx6R6lV1q0AWbdwI9WajFXvSLUeNu92tIlLkqra1917d3Sn2zBSvSPVmoxV70i1shpGe86MVO9ItSZj1TtSrayG0Z4zI9U7Uq3JWPWOVOuROJ0SAABgIJo4AACAgSyjibtiCfvcjpHqHanWZKx6R6qV1TDac2akekeqNRmr3pFqZTWM9pwZqd6Rak3GqnekWg9rx98TBwAAwL3ndEoAAICBaOIAAAAGsmNNXFV9Z1XdWFUfqqrLdmq/m1VV51TVH1XVDVV1fVW9YFp+/6p6T1X99fTzfsuu9aCqOq6qPlBV75yur3Kt962qt1bV/5se429e1Xqr6kXTc+Avq+pNVXXyqtbKalrlvJN1iyXrWCeybr5k3WLs1qzbkSauqo5L8l+TfFeSc5P8UFWduxP73oK7k1za3Y9J8uQkPzXVeFmSq7t7T5Krp+ur4gVJbthwfZVrfWWSd3X3o5M8LrO6V67eqjoryfOT7O3uxyY5LsmzsoK1spoGyDtZt1iyjrUg6xZC1s3Zrs667l74Jck3J3n3husvTfLSndj3Nmq+Ksm3JbkxyZnTsjOT3Ljs2qZazs7sSffUJO+clq1qracn+UimD9LZsHzl6k1yVpJbktw/yfFJ3pnk21exVpfVvIyWd7JurrXKOpe1uci6udcn6xZT667Nup06nfLgA3jQ/mnZSqqqhyd5QpJrkzy4uw8kyfTzQUssbaPLk/xskns2LFvVWh+Z5PYkr5tOE3hNVZ2aFay3uz+W5FeT3JzkQJLPdvcfZAVrZWUNk3eybu5kHetE1s3X5ZF1c7ebs26nmrg6zLKV/G6Dqjotye8leWF3f27Z9RxOVV2Y5Lbuvm7ZtWzS8UmemOQ3uvsJSe7Mio6tp3OiL0ryiCQPTXJqVT1nuVUxmCHyTtYthKxjnci6OZF1i7Obs26nmrj9Sc7ZcP3sJB/foX1vWlWdkNkL/Y3d/bZp8a1Vdea0/swkty2rvg2ekuR7q+qmJL+T5KlV9YasZq3J7L///u6+drr+1sxe/KtY79OSfKS7b+/uu5K8Lcm3ZDVrZTWtfN7JuoWRdawTWTc/sm5xdm3W7VQT974ke6rqEVV1YmZvKHzHDu17U6qqkrw2yQ3d/WsbVr0jycXT7xdndk71UnX3S7v77O5+eGaP5R9293OygrUmSXf/bZJbqupR06ILknwwq1nvzUmeXFWnTM+JCzJ7s+4q1spqWum8k3WLI+tYM7JuTmTdQu3arKvpDX2L31HV0zM73/e4JL/V3b+0IzvepKr61iTvTfIX+cr5yC/L7PzptyT5usyeCM/s7k8tpcjDqKrzk7y4uy+sqgdkRWutqscneU2SE5N8OMmPZnYQYeXqrapfTPIvM/tkqw8k+fEkp2UFa2U1rXLeybrFknWsE1k3f7Ju/nZr1u1YEwcAAMD27diXfQMAALB9mjgAAICBaOIAAAAGookDAAAYiCYOAABgIJo4AACAgWjiAAAABvL/AWoIE8/KqRRVAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 1152x288 with 3 Axes>"
      ]
     },
     "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": "selected-settle",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(99, 100, 100)"
      ]
     },
     "execution_count": 17,
     "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",
    "                  2.37 * 2.61,  # Rock index 3\n",
    "                 ])\n",
    "\n",
    "impedance = rocks[w]\n",
    "rc = (impedance[1:] - impedance[:-1]) / (impedance[1:] + impedance[:-1])\n",
    "syn_ = [np.apply_along_axis(np.convolve, arr=line, axis=0, v=ricker, mode='same')\n",
    "        for line in np.moveaxis(rc, 1, 0)]\n",
    "syn = np.moveaxis(syn_, 0, 1)\n",
    "syn.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "enhanced-cookbook",
   "metadata": {},
   "source": [
    "Let's look at the three orthognal profiles through this synthetic:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "liquid-manchester",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "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 well and making the pieces we want to pass in as `strat`.\n",
    "\n",
    "The middle piece will be fitted to the middle layer of the wedge (resulting in the number of pixels given in the `depth` argument. The upper and lower 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. The tool `welly` makes this straightforward:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "quantitative-glossary",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/matt/opt/miniconda3/envs/bruges/lib/python3.8/site-packages/welly/well.py:193: FutureWarning: From v0.5 the default will be 'original', keeping whatever is used in the LAS file. If you want to force conversion to metres, change your code to use `index='m'`.\n",
      "  warnings.warn(m, FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "from welly import Well\n",
    "\n",
    "w = Well.from_las('../data/R-39.las')\n",
    "\n",
    "log, top, bot = 'GR', 2620, 2720  # The zone we want in the wedge\n",
    "\n",
    "log_above = w.data[log].to_basis(stop=top)\n",
    "log_wedge = w.data[log].to_basis(start=top, stop=bot)\n",
    "log_below = w.data[log].to_basis(start=bot)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "numerous-trainer",
   "metadata": {},
   "source": [
    "Now we can send these pieces to `wedge`; it will squeeze all of `log_wedge` into the 600 pixels allotted to the wedge layer in `depth`. But it will only use the bits of `log_above` and `log_below` that it needs for the 200 pixels above and the 400 below (adjusting for the scale implied by the wedge)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "distant-joshua",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "w, top, base, ref = bg.models.wedge(depth=(200, 600, 400),\n",
    "                          width=(20, 260, 20),\n",
    "                          strat=(log_above, log_wedge, log_below),\n",
    "                          mode='sigmoid', conformance='bottom',\n",
    "                          thickness=(0, 2)\n",
    "                         )\n",
    "\n",
    "log = w[:, ref]\n",
    "depth = np.arange(len(log))\n",
    "\n",
    "fig, axs = plt.subplots(figsize=(10, 6), ncols=2, gridspec_kw={'width_ratios': (1, 3)})\n",
    "\n",
    "axs[0].plot(log, depth)\n",
    "axs[0].set_ylim(depth[-1], depth[0])\n",
    "axs[0].set_title('Well A: GR')\n",
    "\n",
    "axs[1].imshow(w, aspect='auto', cmap='summer_r')\n",
    "axs[1].axvline(ref, color='k', ls='--')\n",
    "axs[1].plot(top, 'r-', lw=4)\n",
    "axs[1].plot(base, 'r-', lw=4)\n",
    "axs[1].fill_betweenx(depth, (10 - log/10)+ref, ref, color='k', alpha=0.4)\n",
    "axs[1].set_title('Well A')\n",
    "\n",
    "plt.show()"
   ]
  },
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   "cell_type": "markdown",
   "id": "timely-forward",
   "metadata": {},
   "source": [
    "---\n",
    "&copy; 2021 Agile Scientific, licensed CC-BY / Apache 2.0"
   ]
  }
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