Petroleum Casing Biaxial Correction Calculator

Explicit plane-stress von-Mises positive hoop yield root under independently known axial stress/yield, signed measured margin only; not manufacturer biaxial burst/collapse rating, connection strength or casing safety. Caller independently verifies units, applicability and matching conditions; no operational recipe, safety certification, causal efficacy or legal/resource classification is inferred.

Description

The plane-stress von Mises relation gives an ideal hoop-stress yield root when axial stress and uniaxial yield are specified.

The plane-stress von Mises relation gives an ideal hoop-stress yield root when axial stress and uniaxial yield are specified.1

This audit uses its positive root and returns the signed gap from measured hoop stress, without giving a manufacturer casing rating.

When to use Petroleum Casing Biaxial Correction Calculator

Use this tool when you need to calculate the stated measurement summary or conditional model from matched observations. Prepare completed matched measurements, SI or explicitly stated oilfield units, and independent evidence for the selected branch or calibration.

How to use Petroleum Casing Biaxial Correction Calculator and understand its results

  1. Prepare completed matched measurements, SI or explicitly stated oilfield units, and independent evidence for the selected branch or calibration.
  2. Enter callerVerifiedUniaxialYieldPa, observedCasingAxialStressPa, observedCasingHoopStressPa, following the field table and calculation rules below, then run the tool.
  3. Read idealVonMisesPositiveHoopYieldRootPa, signedHoopRootMarginPa. For result objects, inspect the nested output fields below, including any missing evidence or selected indices.
  4. Correct any input issues and run again. Before using a successful result, review its units, signs, evidence coverage, and stated model or reference assumptions.
Input fieldMeaningValue typeRequirement
callerVerifiedUniaxialYieldPaCaller verified uniaxial yield pa; pressure or stress in pascals, with the sign convention described above.numberRequired
observedCasingAxialStressPaObserved casing axial stress pa; pressure or stress in pascals, with the sign convention described above.numberRequired
observedCasingHoopStressPaObserved casing hoop stress pa; pressure or stress in pascals, with the sign convention described above.numberRequired

Require positive verified uniaxial yield Y and finite signed axial and hoop stresses in Pa. Reject |axial|>Y on this branch. Compute (axial+sqrt(4Y²−3axial²))/2 and subtract measured hoop stress; negative margin remains visible. Shear, radial stress, connections, and collapse behavior are outside this idealization.

hoopRoot=(axial+sqrt(4Y²−3axial²))/2; margin=hoopRoot−hoopObserved

Read these symbols with the field meanings and branch or reference rules above.

Output fieldMeaningValue type
idealVonMisesPositiveHoopYieldRootPaIdeal von mises positive hoop yield root pa; pressure or stress in pascals, with the sign convention described above.number
signedHoopRootMarginPaSigned hoop root margin pa; pressure or stress in pascals, with the sign convention described above.number
json
{
  "input": {
    "callerVerifiedUniaxialYieldPa": 100,
    "observedCasingAxialStressPa": 20,
    "observedCasingHoopStressPa": 50
  },
  "output": {
    "idealVonMisesPositiveHoopYieldRootPa": 108.48857801796105,
    "signedHoopRootMarginPa": 58.488578017961046
  }
}

Limitations and assumptions

Measurements, unit conventions, branch identity, and model applicability must be independently established. The result does not infer a complete reservoir or flow model, operational settings, or a reserve classification.

Missing required fields, unknown fields, wrong types, and violated calculation rules return input issues. Numeric values must be finite; nonfinite numeric outputs are rejected.

Alternative or Complementary methods

For a related task, use Petroleum Torque On Bit Calculator: Surface torque includes contributions beyond the bit and may need a matched off-bottom correction. This audit subtracts the supplied baseline and applies an independently measured transmission fraction, retaining a signed apparent bit torque. For a complementary step, use Petroleum Fracture Pressure Calculator: A fracture indicator recorded during a completed pressure test can cross an independently chosen criterion more than once. This tool reports all crossings of supplied measurements without establishing a safe pressure or prescribing a test.

References

  1. Petroleum Casing Biaxial Correction Calculator — tool.io

Similar or alternative tools

  • Petroleum Torque On Bit Calculator

    Surface torque includes contributions beyond the bit and may need a matched off-bottom correction. This audit subtracts the supplied baseline and applies an independently measured transmission fraction, retaining a signed apparent bit torque.

  • Petroleum Fracture Pressure Calculator

    A fracture indicator recorded during a completed pressure test can cross an independently chosen criterion more than once. This tool reports all crossings of supplied measurements without establishing a safe pressure or prescribing a test.

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