{
  "version": 1,
  "topic": "MB10",
  "title": "The same rock volume with three different fluid volume bases",
  "createdAt": "2026-10-24",
  "case": {
    "title": "One gas amount through two conversion paths",
    "premise": "Bg = 0.005 reservoir ft³/scf. One petroleum barrel = 5.614583333 ft³.",
    "formula": "Vres,bbl = Vres,ft³/5.614583333; Vstd = Vres,ft³/0.005",
    "variables": "Converted Bg is 0.005/5.614583333 reservoir bbl/scf. Both paths preserve the same gas amount.",
    "steps": [
      {
        "label": "Define the baseline",
        "calculation": "Reservoir volume (ft³) = 1000",
        "explanation": "Bg = 0.005 reservoir ft³/scf. One petroleum barrel = 5.614583333 ft³."
      },
      {
        "label": "Select the relation",
        "calculation": "Vres,bbl = Vres,ft³/5.614583333; Vstd = Vres,ft³/0.005",
        "explanation": "Converted Bg is 0.005/5.614583333 reservoir bbl/scf. Both paths preserve the same gas amount."
      },
      {
        "label": "Substitute the values",
        "calculation": "1,000/5.614583333 = 178.107607 reservoir bbl; /[0.005/5.614583333] = 200,000 scf",
        "explanation": "Retain intermediate precision. The displayed values are rounded only after evaluation."
      },
      {
        "label": "Read the result",
        "calculation": "Reservoir volume (bbl) = 178.107607; Standard gas volume (scf) = 200000",
        "explanation": "Different numbers describe one gas amount; state conversion and geometric unit conversion are separate operations."
      }
    ],
    "result": "Reservoir volume (bbl) = 178.107607; Standard gas volume (scf) = 200000",
    "interpretation": "Different numbers describe one gas amount; state conversion and geometric unit conversion are separate operations.",
    "control": "Reservoir volume (ft³)",
    "columns": [
      "Reservoir volume (ft³)",
      "Reservoir volume (bbl)",
      "Standard gas volume (scf)"
    ],
    "rows": [
      [
        10,
        1.7810760667903527,
        2000
      ],
      [
        100,
        17.810760667903526,
        20000
      ],
      [
        1000,
        178.10760667903526,
        200000
      ],
      [
        10000,
        1781.0760667903526,
        2000000
      ],
      [
        100000,
        17810.760667903527,
        20000000
      ]
    ],
    "baseline": 2,
    "rowNotes": [
      "Reservoir volume (ft³) = 10. Reservoir volume (bbl): 1.78107607; Standard gas volume (scf): 2000.",
      "Reservoir volume (ft³) = 100. Reservoir volume (bbl): 17.8107607; Standard gas volume (scf): 20000.",
      "Reservoir volume (ft³) = 1000. Reservoir volume (bbl): 178.107607; Standard gas volume (scf): 200000.",
      "Reservoir volume (ft³) = 10000. Reservoir volume (bbl): 1781.07607; Standard gas volume (scf): 2000000.",
      "Reservoir volume (ft³) = 100000. Reservoir volume (bbl): 17810.7607; Standard gas volume (scf): 20000000."
    ],
    "provenance": "Original synthetic teaching calculation. Equations and fixed controls are stated here; these are not field measurements.",
    "questions": [
      {
        "question": "Reproduce the baseline Reservoir volume (bbl) without rounding intermediate values.",
        "answer": "1,000/5.614583333 = 178.107607 reservoir bbl; /[0.005/5.614583333] = 200,000 scf. Reservoir volume (bbl) = 178.107607. Different numbers describe one gas amount; state conversion and geometric unit conversion are separate operations."
      },
      {
        "question": "Compare the first and last recorded scenarios. Which input changes?",
        "answer": "Reservoir volume (ft³) changes from 10 to 100000. Other controls remain as stated in the premise. Reservoir volume (bbl) changes from 1.78107607 to 17810.7607."
      },
      {
        "question": "What would be needed to apply this example to a different physical system?",
        "answer": "Replace the synthetic controls with compatible documented inputs and check the relation's assumptions. Converted Bg is 0.005/5.614583333 reservoir bbl/scf. Both paths preserve the same gas amount. Different numbers describe one gas amount; state conversion and geometric unit conversion are separate operations."
      }
    ]
  },
  "recorded": null
}