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Geomechanics and FracturingIn-Situ Stress and Rock Mechanics

Radial Stress Around a Vertical Wellbore Calculator

σrr=0.5(Shmax+Shmin2Po)(1R2/r2)+0.5(ShmaxShmin)(1+3R4/r44R2/r2)cos(2θ)+PoR2/r2\sigma_{rr}=0.5(S_{hmax}+S_{hmin}-2P_o)(1-R^2/r^2)+0.5(S_{hmax}-S_{hmin})(1+3R^4/r^4-4R^2/r^2)\cos(2\theta)+P_oR^2/r^2

Enter the required inputs, confirm the units, and run the calculator to solve sigma_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

Radial Stress Around a Vertical Wellbore calculates radial stress 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.