Capillary pressure.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "22792ca7-3827-43f2-b0b9-783aa132d4a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 960x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "\n",
    "#Creating variable of laboratory capillary pressure\n",
    "\n",
    "#Interfacial Tension, dynes/cm\n",
    "sigma = 50 \n",
    "\n",
    "#Lab Porosity\n",
    "phi_lab = 0.16\n",
    "\n",
    "#Lab Permeability\n",
    "k_lab = 80\n",
    "\n",
    "#Creating variable of reservoir capillary pressure\n",
    "\n",
    "#Described porosity by the Reservoir analysis (Actual)\n",
    "phi = 0.19 #porosity\n",
    "\n",
    "#Described absolute permeability by the Reservoir analysis (Actual)\n",
    "k = 120 #md\n",
    "\n",
    "pc_lab = {'Sw':[1.0,0.8,0.6,0.4,0.25,0.23,0.21,0.20],\n",
    "      'Pc_lab':[0.5,0.6,0.75,1.05,1.50,1.75,3.0,8.0]}\n",
    "\n",
    "df = pd.DataFrame(pc_lab)\n",
    "df\n",
    "\n",
    "plt.style.use(\"classic\")\n",
    "plt.figure(figsize=(9,6))\n",
    "plt.plot(df['Sw'],df['Pc_lab'], label = 'Pc v/s Sw', color = 'red', lw =3)\n",
    "\n",
    "\n",
    "plt.xlabel('Sw', size = 12)\n",
    "plt.ylabel('Pc', size = 12)\n",
    "plt.title(\"Laboratory Data\", size = 20, pad = 22)\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.grid()\n",
    "plt.show()\n",
    "\n",
    "\n",
    "\n",
    "df['J'] = 0.21645*(df['Pc_lab']/sigma)*(np.sqrt(k_lab/phi_lab))\n",
    "df\n",
    "df['Pc_reservoir'] = (df['J']*sigma)/(0.21645*np.sqrt(k/phi))\n",
    "df   \n",
    "\n",
    "plt.style.use(\"classic\")\n",
    "plt.figure(figsize=(12,6))\n",
    "\n",
    "plt.plot(df['Sw'],df['Pc_lab'],label = 'Pc(Lab) v/s Sw', lw = 2)\n",
    "plt.plot(df['Sw'],df['Pc_reservoir'],label = 'Pc(Actual) v/s Sw', lw = 2)\n",
    "\n",
    "plt.xlabel('Sw(Fraction)', size = 12)\n",
    "plt.ylabel('Pc(Psi)', size = 12)\n",
    "plt.title('Application of Leverett-J function', size = 20 ,pad = 22)\n",
    "\n",
    "\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ac8cdac9-6bb0-4a0b-8e73-c82caec3f37f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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