{
  "version": 1,
  "id": "po.wb.mbe.black-oil-model",
  "name": "Material Balance — Expansion Terms",
  "sheets": [
    {
      "name": "Inputs",
      "cells": [
        {
          "ref": "A1",
          "value": "Material Balance — Inputs"
        },
        {
          "ref": "A2",
          "value": "Initial reservoir conditions for material balance analysis. The Expansion Terms sheet computes Eo, Eg, and Efw at each pressure step using PVT lab data."
        },
        {
          "ref": "A4",
          "value": "Initial Conditions"
        },
        {
          "ref": "A5",
          "value": "Initial Pressure (Pi)"
        },
        {
          "ref": "B5",
          "value": 4200
        },
        {
          "ref": "C5",
          "value": "psi"
        },
        {
          "ref": "A6",
          "value": "Initial Bo (Boi)"
        },
        {
          "ref": "B6",
          "value": 1.35
        },
        {
          "ref": "C6",
          "value": "RB/STB"
        },
        {
          "ref": "A7",
          "value": "Initial Rs (Rsi)"
        },
        {
          "ref": "B7",
          "value": 650
        },
        {
          "ref": "C7",
          "value": "scf/STB"
        },
        {
          "ref": "A8",
          "value": "Initial Bg (Bgi)"
        },
        {
          "ref": "B8",
          "value": 0.00095
        },
        {
          "ref": "C8",
          "value": "RB/scf"
        },
        {
          "ref": "A10",
          "value": "Reservoir Parameters"
        },
        {
          "ref": "A11",
          "value": "Gas Cap Ratio (m)"
        },
        {
          "ref": "B11",
          "value": 0.3
        },
        {
          "ref": "C11",
          "value": "dimensionless"
        },
        {
          "ref": "A12",
          "value": "Connate Water Saturation"
        },
        {
          "ref": "B12",
          "value": 0.25
        },
        {
          "ref": "C12",
          "value": "fraction"
        },
        {
          "ref": "A13",
          "value": "Water Compressibility"
        },
        {
          "ref": "B13",
          "value": 3E-06
        },
        {
          "ref": "C13",
          "value": "1/psi"
        },
        {
          "ref": "A14",
          "value": "Rock Compressibility"
        },
        {
          "ref": "B14",
          "value": 5E-06
        },
        {
          "ref": "C14",
          "value": "1/psi"
        }
      ]
    },
    {
      "name": "Expansion Terms",
      "cells": [
        {
          "ref": "A1",
          "value": "MBE Expansion Terms vs Pressure"
        },
        {
          "ref": "A2",
          "value": "Eo = oil expansion, Eg = gas cap expansion, Efw = formation/water expansion. As pressure declines, each term grows — showing how much each phase contributes to fluid withdrawal support."
        },
        {
          "ref": "A4",
          "value": "PVT & Expansion Data"
        },
        {
          "ref": "A5",
          "value": "P (psi)"
        },
        {
          "ref": "B5",
          "value": "Bo"
        },
        {
          "ref": "C5",
          "value": "Rs"
        },
        {
          "ref": "D5",
          "value": "Bg"
        },
        {
          "ref": "E5",
          "value": "Eo"
        },
        {
          "ref": "F5",
          "value": "Eg"
        },
        {
          "ref": "G5",
          "value": "Efw"
        },
        {
          "ref": "A6",
          "value": 4200
        },
        {
          "ref": "B6",
          "value": 1.35
        },
        {
          "ref": "C6",
          "value": 650
        },
        {
          "ref": "D6",
          "value": 0.00095
        },
        {
          "ref": "E6",
          "value": 0
        },
        {
          "ref": "F6",
          "value": 0
        },
        {
          "ref": "G6",
          "value": 0
        },
        {
          "ref": "A7",
          "value": 3800
        },
        {
          "ref": "B7",
          "value": 1.34
        },
        {
          "ref": "C7",
          "value": 590
        },
        {
          "ref": "D7",
          "value": 0.00105
        },
        {
          "ref": "E7",
          "formula": "=PO.MBE.Exp.Eo(B7,MBE_Boi,C7,MBE_Rsi,D7)",
          "cached": 0.05299999999999999
        },
        {
          "ref": "F7",
          "formula": "=PO.MBE.Exp.Eg(MBE_Boi,D7,MBE_Bgi)",
          "cached": 0.1421052631578946
        },
        {
          "ref": "G7",
          "formula": "=PO.MBE.Exp.Efw(MBE_Boi,MBE_cw,MBE_cf,MBE_Swc,MBE_m,MBE_Pi-A7)",
          "cached": 0.005382000000000001
        },
        {
          "ref": "A8",
          "value": 3400
        },
        {
          "ref": "B8",
          "value": 1.32
        },
        {
          "ref": "C8",
          "value": 530
        },
        {
          "ref": "D8",
          "value": 0.00118
        },
        {
          "ref": "E8",
          "formula": "=PO.MBE.Exp.Eo(B8,MBE_Boi,C8,MBE_Rsi,D8)",
          "cached": 0.11159999999999998
        },
        {
          "ref": "F8",
          "formula": "=PO.MBE.Exp.Eg(MBE_Boi,D8,MBE_Bgi)",
          "cached": 0.32684210526315804
        },
        {
          "ref": "G8",
          "formula": "=PO.MBE.Exp.Efw(MBE_Boi,MBE_cw,MBE_cf,MBE_Swc,MBE_m,MBE_Pi-A8)",
          "cached": 0.010764000000000003
        },
        {
          "ref": "A9",
          "value": 3000
        },
        {
          "ref": "B9",
          "value": 1.295
        },
        {
          "ref": "C9",
          "value": 470
        },
        {
          "ref": "D9",
          "value": 0.00135
        },
        {
          "ref": "E9",
          "formula": "=PO.MBE.Exp.Eo(B9,MBE_Boi,C9,MBE_Rsi,D9)",
          "cached": 0.18799999999999986
        },
        {
          "ref": "F9",
          "formula": "=PO.MBE.Exp.Eg(MBE_Boi,D9,MBE_Bgi)",
          "cached": 0.5684210526315789
        },
        {
          "ref": "G9",
          "formula": "=PO.MBE.Exp.Efw(MBE_Boi,MBE_cw,MBE_cf,MBE_Swc,MBE_m,MBE_Pi-A9)",
          "cached": 0.016146000000000004
        },
        {
          "ref": "A10",
          "value": 2600
        },
        {
          "ref": "B10",
          "value": 1.265
        },
        {
          "ref": "C10",
          "value": 410
        },
        {
          "ref": "D10",
          "value": 0.00158
        },
        {
          "ref": "E10",
          "formula": "=PO.MBE.Exp.Eo(B10,MBE_Boi,C10,MBE_Rsi,D10)",
          "cached": 0.2941999999999998
        },
        {
          "ref": "F10",
          "formula": "=PO.MBE.Exp.Eg(MBE_Boi,D10,MBE_Bgi)",
          "cached": 0.895263157894737
        },
        {
          "ref": "G10",
          "formula": "=PO.MBE.Exp.Efw(MBE_Boi,MBE_cw,MBE_cf,MBE_Swc,MBE_m,MBE_Pi-A10)",
          "cached": 0.021528000000000005
        },
        {
          "ref": "A11",
          "value": 2200
        },
        {
          "ref": "B11",
          "value": 1.23
        },
        {
          "ref": "C11",
          "value": 350
        },
        {
          "ref": "D11",
          "value": 0.0019
        },
        {
          "ref": "E11",
          "formula": "=PO.MBE.Exp.Eo(B11,MBE_Boi,C11,MBE_Rsi,D11)",
          "cached": 0.44999999999999984
        },
        {
          "ref": "F11",
          "formula": "=PO.MBE.Exp.Eg(MBE_Boi,D11,MBE_Bgi)",
          "cached": 1.35
        },
        {
          "ref": "G11",
          "formula": "=PO.MBE.Exp.Efw(MBE_Boi,MBE_cw,MBE_cf,MBE_Swc,MBE_m,MBE_Pi-A11)",
          "cached": 0.026910000000000003
        },
        {
          "ref": "A12",
          "value": 1800
        },
        {
          "ref": "B12",
          "value": 1.19
        },
        {
          "ref": "C12",
          "value": 290
        },
        {
          "ref": "D12",
          "value": 0.0024
        },
        {
          "ref": "E12",
          "formula": "=PO.MBE.Exp.Eo(B12,MBE_Boi,C12,MBE_Rsi,D12)",
          "cached": 0.7039999999999997
        },
        {
          "ref": "F12",
          "formula": "=PO.MBE.Exp.Eg(MBE_Boi,D12,MBE_Bgi)",
          "cached": 2.0605263157894735
        },
        {
          "ref": "G12",
          "formula": "=PO.MBE.Exp.Efw(MBE_Boi,MBE_cw,MBE_cf,MBE_Swc,MBE_m,MBE_Pi-A12)",
          "cached": 0.03229200000000001
        },
        {
          "ref": "A13",
          "value": 1400
        },
        {
          "ref": "B13",
          "value": 1.15
        },
        {
          "ref": "C13",
          "value": 230
        },
        {
          "ref": "D13",
          "value": 0.0032
        },
        {
          "ref": "E13",
          "formula": "=PO.MBE.Exp.Eo(B13,MBE_Boi,C13,MBE_Rsi,D13)",
          "cached": 1.144
        },
        {
          "ref": "F13",
          "formula": "=PO.MBE.Exp.Eg(MBE_Boi,D13,MBE_Bgi)",
          "cached": 3.1973684210526323
        },
        {
          "ref": "G13",
          "formula": "=PO.MBE.Exp.Efw(MBE_Boi,MBE_cw,MBE_cf,MBE_Swc,MBE_m,MBE_Pi-A13)",
          "cached": 0.037674000000000006
        },
        {
          "ref": "A14",
          "value": 1000
        },
        {
          "ref": "B14",
          "value": 1.11
        },
        {
          "ref": "C14",
          "value": 170
        },
        {
          "ref": "D14",
          "value": 0.0046
        },
        {
          "ref": "E14",
          "formula": "=PO.MBE.Exp.Eo(B14,MBE_Boi,C14,MBE_Rsi,D14)",
          "cached": 1.9680000000000002
        },
        {
          "ref": "F14",
          "formula": "=PO.MBE.Exp.Eg(MBE_Boi,D14,MBE_Bgi)",
          "cached": 5.186842105263159
        },
        {
          "ref": "G14",
          "formula": "=PO.MBE.Exp.Efw(MBE_Boi,MBE_cw,MBE_cf,MBE_Swc,MBE_m,MBE_Pi-A14)",
          "cached": 0.04305600000000001
        }
      ]
    }
  ],
  "namedRanges": [
    {
      "name": "MBE_Bgi",
      "refersTo": "Inputs!$B$8"
    },
    {
      "name": "MBE_Boi",
      "refersTo": "Inputs!$B$6"
    },
    {
      "name": "MBE_Pi",
      "refersTo": "Inputs!$B$5"
    },
    {
      "name": "MBE_Rsi",
      "refersTo": "Inputs!$B$7"
    },
    {
      "name": "MBE_Swc",
      "refersTo": "Inputs!$B$12"
    },
    {
      "name": "MBE_cf",
      "refersTo": "Inputs!$B$14"
    },
    {
      "name": "MBE_cw",
      "refersTo": "Inputs!$B$13"
    },
    {
      "name": "MBE_m",
      "refersTo": "Inputs!$B$11"
    }
  ],
  "namedLambdas": [],
  "charts": [
    {
      "sheet": "Expansion Terms",
      "type": "XYScatterLines",
      "title": "Expansion Terms vs Pressure",
      "series": [
        {
          "name": "Eo",
          "values": "'Expansion Terms'!$E$6:$E$14",
          "categories": "'Expansion Terms'!$A$6:$A$14"
        },
        {
          "name": "Eg",
          "values": "'Expansion Terms'!$F$6:$F$14",
          "categories": "'Expansion Terms'!$A$6:$A$14"
        },
        {
          "name": "Efw",
          "values": "'Expansion Terms'!$G$6:$G$14",
          "categories": "'Expansion Terms'!$A$6:$A$14"
        }
      ],
      "anchor": "A16",
      "endAnchor": "F34",
      "xAxis": {
        "title": "Pressure (psi)"
      },
      "yAxis": {
        "title": "Expansion (RB/STB)"
      }
    }
  ],
  "shapes": [],
  "pictures": [],
  "connectors": [],
  "conditionalFormats": [],
  "sparklineGroups": [],
  "functions": [
    "PO.MBE.Exp.Efw",
    "PO.MBE.Exp.Eg",
    "PO.MBE.Exp.Eo"
  ]
}