Hoek and Brown criteria for principal stress failure

Input(s)

Co: Unconfined Compressive Strength of Rock (psi)

m: Constant Depending on Property of Rock and Extent to Which It Is Broken (dimensionless)

s: Constant Depending on Property of Rock and Extent to Which It Is Broken (dimensionless)

\(\sigma_{c}\): Minimum Effective Principal Stress (psi)

Output(s)

\(\sigma_{a}\): Maximum Effective Principal Stress (psi)

Formula(s)

\[ \sigma_{\mathrm{a}}=\sigma_{\mathrm{c}}+\operatorname{Co} *\left(\mathrm{~m} * \frac{\sigma_{\mathrm{c}}}{\operatorname{Co}}+\mathrm{s}\right)^{0.5} \]

Reference(s)

Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 98.


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