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Geomechanics and FracturingIn-Situ Stress and Rock Mechanics

Stress Path for Induced Normal Faulting Formula

A=11(μ2+1+μ)2A=1-\frac{1}{(\sqrt{\mu^2+1}+\mu)^2}

Stress Path for Induced Normal Faulting calculates stress path for in-situ stress and rock mechanics workflows in geomechanics and fracturing.

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How engineers use this formula

Use this formula when the listed inputs (mu) are known and the assumptions behind the cited in-situ stress and rock mechanics relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, A equals 0.679428 dimensionless.

mudimensionless

0.6

Inputs

mu

dimensionless

Friction Coefficient

Outputs

A

dimensionless

Stress Path

mu

dimensionless

Friction Coefficient

Source and review

reviewed

Reservoir Geomechanics, Zoback, M.D. (2007)

Zoback, M.D. 2007. Reservoir Geomechanics, Cambridge University Press, Page 385.

Source

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