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Geomechanics and FracturingIn-Situ Stress and Rock Mechanics

Tensile Breakdown Pressure with Thermal Stress Formula

Pb=PpσHmax+3σhmin+Ts+σΔTP_b=P_p-\sigma_{Hmax}+3\sigma_{hmin}+T_s+\sigma^{\Delta T}

Tensile Breakdown Pressure with Thermal Stress calculates tensile breakdown pressure for in-situ stress and rock mechanics workflows in geomechanics and fracturing.

Calculate

How engineers use this formula

Use this formula when the listed inputs (S_Hmax, S_hmin, P_p, T_s, sigma_DT, TVD) 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, P_b equals 4,320 psi.

S_Hmaxpsi

6300

S_hminpsi

4300

P_ppsi

3080

T_spsi

800

sigma_DTpsi

0

TVDft

7000

Inputs

S_Hmax

psi

Total Maximum Horizontal Stress

S_hmin

psi

Total Minimum Horizontal Stress

P_p

psi

Pore Pressure

T_s

psi

Rock Tensile Strength

sigma_DT

psi

Thermally Induced Hoop Stress

TVD

ft

True Vertical Depth

Outputs

P_b

psi

Tensile Breakdown Pressure

MW_b

ppg

Equivalent Mud Density at Breakdown Pressure

T_s

psi

Rock Tensile Strength

Source and review

reviewed

Introduction to Energy Geomechanics, Espinoza, D.N.

Espinoza, D.N. Introduction to Energy Geomechanics, Chapter 6.4, Eqs. 6.17-6.18 and Problem 6.3.

Source

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