homework 7/REVISED_homework7_reservoir_geomechanics.ipynb

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  "metadata": {
    "colab": {
      "name": "REVISED-homework7-reservoir-geomechanics.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "toc_visible": true,
      "authorship_tag": "ABX9TyPnPmXdFbIgNQgkwXIjmtir",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/yohanesnuwara/reservoir-geomechanics/blob/master/homework%207/REVISED_homework7_reservoir_geomechanics.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5b72WRLUtK-r",
        "colab_type": "text"
      },
      "source": [
        "# **Homework 7 Building Geomechanical Model for Barnett Shale**\n",
        "\n",
        "For reference, see Homework 6"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wQg4o11cI5Nn",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import pandas as pd"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kmXA2jMq6lLc",
        "colab_type": "code",
        "outputId": "5fe6a49e-4d38-4745-e608-92eabc8a3fe3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 158
        }
      },
      "source": [
        "!git clone https://www.github.com/yohanesnuwara/reservoir-geomechanics"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Cloning into 'reservoir-geomechanics'...\n",
            "warning: redirecting to https://github.com/yohanesnuwara/reservoir-geomechanics.git/\n",
            "remote: Enumerating objects: 84, done.\u001b[K\n",
            "remote: Counting objects: 100% (84/84), done.\u001b[K\n",
            "remote: Compressing objects: 100% (84/84), done.\u001b[K\n",
            "remote: Total 219 (delta 36), reused 0 (delta 0), pack-reused 135\u001b[K\n",
            "Receiving objects: 100% (219/219), 13.72 MiB | 33.37 MiB/s, done.\n",
            "Resolving deltas: 100% (92/92), done.\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GhErboq4tIxu",
        "colab_type": "text"
      },
      "source": [
        "Data and knowns"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sw3eyE4xtQ55",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "depth = 5725 # ft\n",
        "Sh_grad = 0.65 # least principal stress gradient, psi/ft\n",
        "mu = 0.75\n",
        "Pm_grad = 0.53 # mud weight gradient, psi/ft\n",
        "Pp_grad = 0.48 # pore pressure gradient, psi/ft\n",
        "T0 = 0 # tensile strength, psi\n",
        "Wbo = 0 # wellbore breakout width, degree\n",
        "\n",
        "# Sv at depth from homework 1\n",
        "Sv = 6374.8 # psi\n",
        "# UCS from sonic log at depth from homework 3\n",
        "C0_sonic = 12659.88 # psi\n",
        "\n",
        "# Pp at depth\n",
        "Pp = depth * Pp_grad\n",
        "\n",
        "# Pm at depth\n",
        "Pm = depth * Pm_grad"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wM4--1fP8VuL",
        "colab_type": "text"
      },
      "source": [
        "$$\\frac{S_1-Pp}{S_3-Pp}=(\\sqrt{\\mu^2+1}+\\mu)^2$$\n",
        "\n",
        "$(\\sqrt{\\mu^2+1}+\\mu)^2$ denoted as `ratio`"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2RXW5D1i8vi7",
        "colab_type": "code",
        "outputId": "d65c1b4b-5587-43e4-ebfd-f15c84210fa6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "ratio = (np.sqrt((mu**2) + 1) + mu)**2\n",
        "ratio"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "4.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 4
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BJk0IXI988XW",
        "colab_type": "text"
      },
      "source": [
        "Lower bound of least principal stress (in this case `Sh`) is calculated from the above equation\n",
        "\n",
        "$$Sh=(\\frac{Sv-Pp}{(\\sqrt{\\mu^2+1}+\\mu)^2})+Pp$$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vA7JCb3E9e2v",
        "colab_type": "code",
        "outputId": "a2398eb8-48cc-4520-d6ee-4e8a91399e89",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "Sh_lower = ((Sv - Pp) / ratio) + Pp\n",
        "print('Lower bound of minimum horizontal stress:', Sh_lower, 'psi')"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Lower bound of minimum horizontal stress: 3654.7 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UoODH5eQ-Mjj",
        "colab_type": "text"
      },
      "source": [
        "Upper bound of intermediate principal stress (in this case `SH`) is calculated from equation (derived from the very first equation)\n",
        "\n",
        "$$SH = [(\\sqrt{\\mu^2+1}+\\mu)^2]\\cdot(Sv-Pp)+Pp$$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "sOB0vs6Z_OWp",
        "colab_type": "code",
        "outputId": "89aab395-e602-4f48-e348-594955f8e7e7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "SH_upper = (ratio * (Sv - Pp)) + Pp\n",
        "print('Upper bound of maximum horizontal stress:', SH_upper, 'psi')"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Upper bound of maximum horizontal stress: 17255.2 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HMfAhSoH_el_",
        "colab_type": "text"
      },
      "source": [
        "Construct stress polygon using `zobackogram` function from Homework 6"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FRhdP6k9ADkN",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import sys\n",
        "sys.path.append('/content/reservoir-geomechanics/homework 6')"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qhfbx7evAYk_",
        "colab_type": "code",
        "outputId": "c7327500-dff0-4113-cd73-fe10fbf7455e",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 709
        }
      },
      "source": [
        "from zobackogram import zobackogram\n",
        "\n",
        "zobackogram(Sv, Pp, mu)"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "([<matplotlib.lines.Line2D at 0x7f3d1257a470>],\n",
              " [<matplotlib.lines.Line2D at 0x7f3d1257a588>],\n",
              " [<matplotlib.lines.Line2D at 0x7f3d1257a940>],\n",
              " [<matplotlib.lines.Line2D at 0x7f3d1257acc0>],\n",
              " [<matplotlib.lines.Line2D at 0x7f3d1258b080>])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 8
        },
        {
          "output_type": "display_data",
          "data": {
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t2zZ3+PBhl5OT41555ZVC3+NXX33lsrKynHPOHT161P3yl790eXl5bsaMGe7i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\nRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XHFq14RGV6s9",
        "colab_type": "text"
      },
      "source": [
        "Plot tensile fracture and wellbore breakout line"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "EmSyOqlmAgrr",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def breakout(Sv, Pp, mu, Pm, T0, C0, Wbo):\n",
        "  import numpy as np\n",
        "  import matplotlib.pyplot as plt\n",
        "\n",
        "  # plot zobackogram\n",
        "  p1, p2, nf, ss, rf = zobackogram(Sv, Pp, mu)\n",
        "\n",
        "  # ratio of S1-Pp to S3-Pp\n",
        "  ratio = (np.sqrt((mu**2) + 1) + mu)**2\n",
        "\n",
        "  # lower limit of Shmin, from Sv\n",
        "  Sh = ((Sv - Pp) / ratio) + Pp\n",
        "\n",
        "  # upper limit of SHmax, from Sv and Pp\n",
        "  SH = (ratio * (Sv - Pp)) + Pp\n",
        "\n",
        "  # axes of plot\n",
        "  Sv_x = np.arange(0, (SH + 10000), 10)\n",
        "  Sv_y = Sv_x\n",
        "\n",
        "  \"Tensile fracture line\"\n",
        "  Sh_line = Sv_x\n",
        "  SH_tensile = (3 * Sh_line) - ((2 * Pp) + (Pm - Pp)) - T0\n",
        "  tensile = plt.plot(Sh_line, SH_tensile, '--')\n",
        "\n",
        "  \"Wellbore breakout line\"\n",
        "  SH_breakout = (C0 + (2 * Pp) + (Pm - Pp) - (Sh_line *  (1 + 2 * np.cos(np.deg2rad(180 - Wbo))))) / (1 - 2 * np.cos(np.deg2rad(180 - Wbo)))\n",
        "  breakout = plt.plot(Sh_line, SH_breakout, '--') \n",
        "\n",
        "  plt.legend((p1[0], p2[0], nf[0], ss[0], rf[0], tensile[0], breakout[0]), \n",
        "            ['Sv line', 'Sv data', 'Normal Faulting (NF) Polygon', \n",
        "              'Strike Slip (SS) Polygon', 'Reverse Faulting (RF) Polygon',\n",
        "              'Tensile fracture line', 'Wellbore breakout line'])\n",
        "  return(Sh, SH)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "D122j6rUX7iw",
        "colab_type": "code",
        "outputId": "3e055eeb-972e-468d-8d2d-41986c4bbdd4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 621
        }
      },
      "source": [
        "Sh, SH = breakout(Sv, Pp, mu, Pm, T0, C0_sonic, Wbo)"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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ksBRbCAMFMRFpRpu4ikghKsYQBgpiItLMHG3iKiIFplhDGGjVpIg0c/z4QZwwfpCmJUWk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\n",
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zKzY-QS2npG9",
        "colab_type": "text"
      },
      "source": [
        "The value of minimum stress from LOT on the polygon\n",
        "\n",
        "The purple line is the minimum horizontal stress from ISIP data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "oPTPBZKppPPS",
        "colab_type": "code",
        "outputId": "6d88850f-bea4-4efb-b095-fca2c45f643f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 674
        }
      },
      "source": [
        "Sh_data = depth * Sh_grad\n",
        "print('Minimum horizontal stress from Instantaneuous Shut-in Pressure (ISIP) data:', Sh_data, 'psi \\n')\n",
        "\n",
        "sh_x = np.array([Sh_data, Sh_data])\n",
        "sh_y = np.array([0, SH+10000])\n",
        "\n",
        "breakout(Sv, Pp, mu, Pm, T0, C0_sonic, Wbo)\n",
        "plt.plot(sh_x, sh_y, '--', color='purple')"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Minimum horizontal stress from Instantaneuous Shut-in Pressure (ISIP) data: 3721.25 psi \n",
            "\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f3d12084da0>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 11
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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FmS0ys0UbN25s0WfJRZUrK6lcWRl1GXmjOhZnXnklxx/YK+pSRHKOQphkm9CD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\nBwlVWRf5AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "p61n9tvS3eoU",
        "colab_type": "text"
      },
      "source": [
        "Zooming in"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kvJHp5xv3d6l",
        "colab_type": "code",
        "outputId": "f5cf3d9a-97a5-429f-847e-74091cb0198c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 638
        }
      },
      "source": [
        "breakout(Sv, Pp, mu, Pm, T0, C0_sonic, Wbo)\n",
        "plt.plot(sh_x, sh_y, '--', color='purple')\n",
        "plt.xlim(0,11000); plt.ylim(0,11000)"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.0, 11000.0)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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z9oCO5OVq/TBJgeL58NqdBzfcn/Jdb7FVgG4nBFpejEJY9CiIiUTAs1c+C8CF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\ngg==\n",
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HWrgWRszh1D_",
        "colab_type": "text"
      },
      "source": [
        "## Constraints of stresses"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9I3i0I9jh7xF",
        "colab_type": "text"
      },
      "source": [
        "### Tensile fracture\n",
        "\n",
        "Implicit equation for tensile fracture line is:\n",
        "\n",
        "$$Sh+SH-2(SH-Sh)-2P_p-(P_m-P_p) = T_0$$\n",
        "\n",
        "Solving for $SH$, explicit equation becomes:\n",
        "\n",
        "$$SH=3Sh - (T_0+2P_p+(P_m-P_p))$$\n",
        "\n",
        "Criteria for no tensile fracture occurs when:\n",
        "\n",
        "$$Sh+SH-2(SH-Sh)-2P_p-(P_m-P_p)\\geq T_0$$\n",
        "\n",
        "So, $SH$ is explicitly:\n",
        "\n",
        "$$SH\\leq 3Sh - (T_0+2P_p+(P_m-P_p))$$\n",
        "\n",
        "Or $SH$ must be below the tensile line"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xVUbcpIFliSa",
        "colab_type": "text"
      },
      "source": [
        "### Wellbore breakout\n",
        "\n",
        "Implicit equation for the breakout line is: \n",
        "\n",
        "$$Sh+SH-2(SH-Sh)\\cos(\\pi-W_{bo})-2P_p-(P_m-P_p)=C_0$$\n",
        "\n",
        "Solving for $SH$, explicit equation becomes:\n",
        "\n",
        "$$SH=\\frac{C_0+2P_p+(P_m-P_p)-Sh(1+2\\cos(\\pi-W_{bo}))}{1-2\\cos(\\pi-W_{bo})}$$\n",
        "\n",
        "Criteria for no wellbore breakout occurs when:\n",
        "\n",
        "$$Sh+SH-2(SH-Sh)\\cos(\\pi-W_{bo})-2P_p-(P_m-P_p) \\geq C_0$$\n",
        "\n",
        "So, $SH$ is explicitly:\n",
        "\n",
        "$$SH \\leq \\frac{C_0+2P_p+(P_m-P_p)-Sh(1+2\\cos(\\pi-W_{bo}))}{1-2\\cos(\\pi-W_{bo})}$$\n",
        "\n",
        "Or $SH$ must be below the breakout line"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TXaWqCAstrtI",
        "colab_type": "text"
      },
      "source": [
        "### Corner point 1: lowermost point in NF regime on $SH=Sh$ line"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mF3MYgLFuIxH",
        "colab_type": "code",
        "outputId": "deacf3c3-572f-4179-c3f3-b7d108fd3156",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 52
        }
      },
      "source": [
        "# minimum stress\n",
        "Sh1 = Sh_lower\n",
        "print(\"Minimum horizontal stress at point 1:\", Sh1, \"psi\")\n",
        "\n",
        "# maximum stress\n",
        "SH1 = Sh1\n",
        "print(\"Maximum horizontal stress at point 1:\", SH1, \"psi\")"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Minimum horizontal stress at point 1: 3654.7 psi\n",
            "Maximum horizontal stress at point 1: 3654.7 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hcJdMUZ4n-C_",
        "colab_type": "text"
      },
      "source": [
        "### Corner point 2: intersection between tensile line and lower bound of Shmin in NF regime"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vKres9Xun9g1",
        "colab_type": "code",
        "outputId": "184da472-3b8a-4641-b2eb-46e3e88c9359",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 52
        }
      },
      "source": [
        "# minimum stress\n",
        "Sh2 = Sh_lower\n",
        "print(\"Minimum horizontal stress at point 2:\", Sh2, \"psi\")\n",
        "\n",
        "# maximum stress\n",
        "SH2 = (3 * Sh2) - ((2 * Pp) + (Pm - Pp))\n",
        "print(\"Maximum horizontal stress at point 2:\", SH2, \"psi\")"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Minimum horizontal stress at point 2: 3654.7 psi\n",
            "Maximum horizontal stress at point 2: 5181.8499999999985 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nzv6ms2ZpG8t",
        "colab_type": "text"
      },
      "source": [
        "### Corner point 3: intersection between tensile line and breakout line in SS regime"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "d89WJ695pZtk",
        "colab_type": "code",
        "outputId": "951900f3-a600-4da1-940d-4c5107696d9f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 52
        }
      },
      "source": [
        "# Solving Sh and SH simultaneously\n",
        "\n",
        "from scipy.optimize import fsolve\n",
        "\n",
        "def f(y):\n",
        "  Sh, SH = y\n",
        "  # tensile line\n",
        "  f1 = (3 * Sh) - ((2 * Pp) + (Pm - Pp)) - T0 - SH\n",
        "  # breakout line\n",
        "  f2 = ((C0_sonic + (2 * Pp) + (Pm - Pp) - (Sh *  (1 + 2 * np.cos(np.deg2rad(180 - Wbo))))) / (1 - 2 * np.cos(np.deg2rad(180 - Wbo)))) - SH\n",
        "  return[f1, f2]\n",
        "\n",
        "solve = fsolve(f, [1, 1]) # initial guess\n",
        "\n",
        "# minimum stress\n",
        "Sh3 = solve[0]\n",
        "print(\"Minimum horizontal stress at point 3:\", Sh3, \"psi\")\n",
        "\n",
        "# maximum stress\n",
        "SH3 = solve[1]\n",
        "print(\"Maximum horizontal stress at point 3:\", SH3, \"psi\")"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Minimum horizontal stress at point 3: 4473.61 psi\n",
            "Maximum horizontal stress at point 3: 7638.579999999999 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EWnnsrqEsqOY",
        "colab_type": "text"
      },
      "source": [
        "### Corner point 4: intersection between breakout line and $SH=Sh$ line in RF regime"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QclYf5Gfs_Ja",
        "colab_type": "code",
        "outputId": "ba4f05dc-5db2-401b-b718-45ccf2477169",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 52
        }
      },
      "source": [
        "# Solving Sh and SH simultaneously\n",
        "\n",
        "from scipy.optimize import fsolve\n",
        "\n",
        "def f(y):\n",
        "  Sh, SH = y\n",
        "  # normal line\n",
        "  f1 = SH - Sh\n",
        "  # breakout line\n",
        "  f2 = ((C0_sonic + (2 * Pp) + (Pm - Pp) - (Sh *  (1 + 2 * np.cos(np.deg2rad(180 - Wbo))))) / (1 - 2 * np.cos(np.deg2rad(180 - Wbo)))) - SH\n",
        "  return[f1, f2]\n",
        "\n",
        "solve = fsolve(f, [1, 1]) # initial guess\n",
        "\n",
        "# minimum stress\n",
        "Sh4 = solve[0]\n",
        "print(\"Minimum horizontal stress at point 4:\", Sh4, \"psi\")\n",
        "\n",
        "# maximum stress\n",
        "SH4 = solve[1]\n",
        "print(\"Maximum horizontal stress at point 4:\", SH4, \"psi\")"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Minimum horizontal stress at point 4: 9221.064999999999 psi\n",
            "Maximum horizontal stress at point 4: 9221.064999999999 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_jvlrWCvuwMv",
        "colab_type": "text"
      },
      "source": [
        "### Plot the constrained area on stress polygon"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GiaU2Qegu0jx",
        "colab_type": "code",
        "outputId": "13e54861-1a2e-4a75-a5a9-19f2ba3bf827",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 638
        }
      },
      "source": [
        "Sh_constrain = [Sh1, Sh2, Sh3, Sh4]\n",
        "SH_constrain = [SH1, SH2, SH3, SH4]\n",
        "\n",
        "breakout(Sv, Pp, mu, Pm, T0, C0_sonic, Wbo)\n",
        "plt.plot(sh_x, sh_y, '--', color='purple')\n",
        "# fill area\n",
        "plt.fill(Sh_constrain, SH_constrain, color='green', alpha=0.2)\n",
        "plt.xlim(0,11000); plt.ylim(0,11000)"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.0, 11000.0)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 17
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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JSNBC2B9Wu88B0DovN+BKRCQVwhLCQCNiIpEw7fZpQZfQfCHrD3POMe3215k+tjdfPX1o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\n5B8fT5XXCkH/CgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 720x720 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MKhXq4yBuZ5n",
        "colab_type": "text"
      },
      "source": [
        "## Questions"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8AC54BnD5Jur",
        "colab_type": "text"
      },
      "source": [
        "### Question 1a. From the first homework assignment, what is the overburden stress of the site at 5725 feet depth in psi?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ikN_AVoR5iCH",
        "colab_type": "code",
        "outputId": "36862316-93dd-47ef-f878-07fbf621188c",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "print('The overburden stress at depth 5725 m is:', Sv, 'psi')"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "The overburden stress at depth 5725 m is: 6374.8 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "9xbS0ZQb_VY_",
        "colab_type": "text"
      },
      "source": [
        "### Question 1b. What is the minimum horizontal stress of the site at 5725 feet depth in psi?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KRQNn-lj_c3D",
        "colab_type": "code",
        "outputId": "44109862-770c-422b-e529-1016aa72b35d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "print('The minimum horizontal stress at depth 5725 m is:', Sh_data, 'psi')"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "The minimum horizontal stress at depth 5725 m is: 3721.25 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PAwqzA3w_jM1",
        "colab_type": "text"
      },
      "source": [
        "### Question 1c. What is the pore pressure of the site at 5725 feet depth in psi?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YvVRyjdVADG4",
        "colab_type": "code",
        "outputId": "a1e786ef-8b4c-447a-f704-b0e50c629f47",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "print('The pore pressure at depth 5725 m is:', Pp, 'psi')"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "The pore pressure at depth 5725 m is: 2748.0 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "F6sRqRJkAK9j",
        "colab_type": "text"
      },
      "source": [
        "### Question 1d. What is the mud pressure of the site at 5725 feet depth in psi?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CZkZnn5PAUQx",
        "colab_type": "code",
        "outputId": "a257b686-ab55-4f15-95f6-8ceade14a5c6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "print('The mud pressure at depth 5725 m is:', Pm, 'psi')"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "The mud pressure at depth 5725 m is: 3034.25 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AK_DwXtGAahL",
        "colab_type": "text"
      },
      "source": [
        "### Question 1e. From the third homework assignment, what is the unconfined compressive strength estimated from a sonic log for the Barnett formation of the site at 5725 feet depth in psi?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PgN6wj8TAo5i",
        "colab_type": "code",
        "outputId": "3fd2ae85-e69f-4678-deac-f85c1ea01789",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "print('The unconfined compressive strength at depth 5725 m is:', C0_sonic, 'psi')"
      ],
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "The unconfined compressive strength at depth 5725 m is: 12659.88 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Z5pOSz6HUyo0",
        "colab_type": "text"
      },
      "source": [
        "### Question 1f. What is the upper bound of the maximum horizontal stress of the site at 5725 feet depth in psi?\n",
        "\n",
        "From the intersection of our $Sh$ and the polygons, we know that we are in Normal Faulting (NF) regime.\n",
        "\n",
        "$Sh$ from ISIP data 3721.25 psi substituted to tensile line\n",
        "\n",
        "$$SH=3Sh - (T_0+2P_p+(P_m-P_p))$$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Zx3AkpStV9yw",
        "colab_type": "code",
        "outputId": "67c95587-5f8e-4438-b6fd-368e90fdbdcc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "SH_upper = (3 * Sh_data) - ((2 * Pp) + (Pm - Pp)) - T0\n",
        "print('Upper bound of maximum horizontal stress:', SH_upper, 'psi')"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Upper bound of maximum horizontal stress: 5381.5 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ApC8xZrGTpqQ",
        "colab_type": "text"
      },
      "source": [
        "### Question 1g. What is the lower bound of the maximum horizontal stress of the site at 5725 feet depth in psi?\n",
        "\n",
        "$Sh$ from ISIP data 3721.25 psi substituted to $SH=Sh$ line"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8r1n6P9bUANN",
        "colab_type": "code",
        "outputId": "ecbe4b78-25f3-4915-86fa-1e1d850c9c42",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "SH_lower = Sh_data\n",
        "print('Lower bound of maximum horizontal stress:', SH_lower, 'psi')"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Lower bound of maximum horizontal stress: 3721.25 psi\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8hMhtZajvXKx",
        "colab_type": "text"
      },
      "source": [
        "### Question 1h. What is the value of the upper bound of a ϕ of the site at 5725 feet depth? Enter your answer as a number from 0 to 1\n",
        "\n",
        "$$\\phi=\\frac{S_2-S_3}{S_1-S_3}$$\n",
        "\n",
        "Regime is NF, the stresses are: $Sh<SH<Sv$\n",
        "\n",
        "Therefore, $S_1=Sv$, $S_2=SH$, and $S_3=Sh$"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YwEZOusZvaYv",
        "colab_type": "code",
        "outputId": "44799531-603f-4793-b6aa-d42a13143a2f",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "phi_upper = (SH_upper - Sh_data) / (Sv - Sh_data)\n",
        "print('Upper bound of phi:', phi_upper)"
      ],
      "execution_count": 26,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Upper bound of phi: 0.6256712705620772\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ikAbGSlEw0fl",
        "colab_type": "text"
      },
      "source": [
        "### Question 1i. What is the value of the upper bound of an Aϕ of the site at 5725 feet depth? Enter your answer as a number from 0 to 3.\n",
        "\n",
        "$$A \\phi=(n+0.5)+(−1)^n(\\phi −0.5)$$\n",
        "\n",
        "Where $n=0$ for NF regime, $n=1$ for SS regime, $n=2$ for RF regime"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AW6fqQ6Uw7wn",
        "colab_type": "code",
        "outputId": "12efabf5-a701-462c-f0d1-1c09ff58b3e6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "n = 0\n",
        "A_phi_upper = (n + 0.5) + (1 * (phi_upper - 0.5))\n",
        "print('Upper bound of (A*phi):', A_phi_upper)"
      ],
      "execution_count": 32,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Upper bound of (A*phi): 0.6256712705620772\n"
          ],
          "name": "stdout"
        }
      ]
    }
  ]
}