Maximum compression at vertical wellbore
Input(s)
\(\sigma_{c}\): Minimum Principle Stress (psi)
\(S_{w}\): Intact Rock Strength (psi)
\(\mu\): Internal Friction of Weak Bedding \((\mathrm{cP})\)
ß: Angle of Weak Plane to Maximum Principle Stress (degrees)
Output(s)
\(\sigma\): Stress \((\mathrm{cm} / \mathrm{s})\)
Formula(s)
\[
\sigma=\frac{\sigma_{\mathrm{c}} * 2 *\left(\mathrm{~S}_{\mathrm{w}}+\mu * \sigma_{\mathrm{c}}\right)}{(1-\mu * \cot (\beta)) * \sin (2 * \beta)}
\]
Reference(s)
Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 107.