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Geomechanics and FracturingIn-Situ Stress and Rock Mechanics

Normal Radial Stress Near a Wellbore Calculator

σrr=12(Shmax+Shmin−2Po)(1−R2r2)+12(Shmax−Shmin)(1−4R2r2+3R4r4)cos⁡(2θ)+PoR2r2\sigma_{rr}=\frac{1}{2}(S_{hmax}+S_{hmin}-2P_o)\left(1-\frac{R^2}{r^2}\right)+\frac{1}{2}(S_{hmax}-S_{hmin})\left(1-4\frac{R^2}{r^2}+3\frac{R^4}{r^4}\right)\cos(2\theta)+P_o\frac{R^2}{r^2}

Enter the required inputs, confirm the units, and run the calculator to solve sig_rr. Review the formula source and assumptions before using the result in engineering work.

Tabular solver

Inputs

Defaults provide a quick field-unit example for the equation.

6 variables

Calculation runs locally with the shared TypeScript engine.

Formula reference

Normal Radial Stress Near a Wellbore calculates normal radial stress near wellbore for in-situ stress and rock mechanics workflows in geomechanics and fracturing.

View formula, units, and source

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.

Common mistakes

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