{
  "version": 1,
  "topic": "PV02",
  "title": "Reservoir barrels versus stock tank barrels",
  "createdAt": "2026-10-24",
  "case": {
    "title": "Reservoir and stock-tank oil volumes",
    "premise": "Stock-tank amount fixed at 1,000 STB. Each Bo is a synthetic state assumption.",
    "formula": "Vreservoir = Bo Vstocktank",
    "variables": "Bo in reservoir bbl/STB; this is not a geometric barrel-to-cubic-foot conversion.",
    "steps": [
      {
        "label": "Define the baseline",
        "calculation": "Bo (reservoir bbl/STB) = 1.2",
        "explanation": "Stock-tank amount fixed at 1,000 STB. Each Bo is a synthetic state assumption."
      },
      {
        "label": "Select the relation",
        "calculation": "Vreservoir = Bo Vstocktank",
        "explanation": "Bo in reservoir bbl/STB; this is not a geometric barrel-to-cubic-foot conversion."
      },
      {
        "label": "Substitute the values",
        "calculation": "1.2 reservoir bbl/STB × 1,000 STB = 1,200 reservoir bbl",
        "explanation": "Retain intermediate precision. The displayed values are rounded only after evaluation."
      },
      {
        "label": "Read the result",
        "calculation": "Reservoir oil volume (bbl) = 1200; Stock-tank oil volume (STB) = 1000",
        "explanation": "The same stock-tank amount corresponds to different reservoir volumes under different Bo assumptions."
      }
    ],
    "result": "Reservoir oil volume (bbl) = 1200; Stock-tank oil volume (STB) = 1000",
    "interpretation": "The same stock-tank amount corresponds to different reservoir volumes under different Bo assumptions.",
    "control": "Bo (reservoir bbl/STB)",
    "columns": [
      "Bo (reservoir bbl/STB)",
      "Reservoir oil volume (bbl)",
      "Stock-tank oil volume (STB)"
    ],
    "rows": [
      [
        1,
        1000,
        1000
      ],
      [
        1.1,
        1100,
        1000
      ],
      [
        1.2,
        1200,
        1000
      ],
      [
        1.3,
        1300,
        1000
      ],
      [
        1.5,
        1500,
        1000
      ]
    ],
    "baseline": 2,
    "rowNotes": [
      "Bo (reservoir bbl/STB) = 1. Reservoir oil volume (bbl): 1000; Stock-tank oil volume (STB): 1000.",
      "Bo (reservoir bbl/STB) = 1.1. Reservoir oil volume (bbl): 1100; Stock-tank oil volume (STB): 1000.",
      "Bo (reservoir bbl/STB) = 1.2. Reservoir oil volume (bbl): 1200; Stock-tank oil volume (STB): 1000.",
      "Bo (reservoir bbl/STB) = 1.3. Reservoir oil volume (bbl): 1300; Stock-tank oil volume (STB): 1000.",
      "Bo (reservoir bbl/STB) = 1.5. Reservoir oil volume (bbl): 1500; Stock-tank oil volume (STB): 1000."
    ],
    "provenance": "Original synthetic teaching calculation. Equations and fixed controls are stated here; these are not field measurements.",
    "questions": [
      {
        "question": "Reproduce the baseline Reservoir oil volume (bbl) without rounding intermediate values.",
        "answer": "1.2 reservoir bbl/STB × 1,000 STB = 1,200 reservoir bbl. Reservoir oil volume (bbl) = 1200. The same stock-tank amount corresponds to different reservoir volumes under different Bo assumptions."
      },
      {
        "question": "Compare the first and last recorded scenarios. Which input changes?",
        "answer": "Bo (reservoir bbl/STB) changes from 1 to 1.5. Other controls remain as stated in the premise. Reservoir oil volume (bbl) changes from 1000 to 1500."
      },
      {
        "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. Bo in reservoir bbl/STB; this is not a geometric barrel-to-cubic-foot conversion. The same stock-tank amount corresponds to different reservoir volumes under different Bo assumptions."
      }
    ]
  },
  "recorded": null
}