Geomechanics and FracturingIn-Situ Stress and Rock Mechanics

Shear Modulus from Force Area and Deformation Angle Formula

G=\frac{F/A}{\theta}

Shear Modulus from Force Area and Deformation Angle calculates shear modulus 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 (F, A, theta_deg) 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, G equals 28,647,889.756541 Pa.

10000

Am^2

0.01

theta_degdeg

Inputs

F

Force

A

m^2

Area

theta_deg

deg

Deformation Angle

Outputs

G

Shear Modulus

F

Force

A

m^2

Area

Source and review

reviewed

Theory, Measurement, and Interpretation of Well Logs, Bassiouni, Z. (1994)

Bassiouni, Z. 1994. Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4, Chapter 3, Page 45.

Source