Maximum principal stress failure (Hoek and Brown)

Input(s)

σb\sigma_{b}: Second Largest Stress (psi)

C: Rock Compressive Strength (lbf)

m: Hoek - Brown Constant Dependent on Rock Type (dimensionless)

s: Hoek and Brown Constant Dependent on Shape (dimensionless)

Output(s)

σa\sigma_{a}: Principal Stress (psi)

Formula(s)

σa=σb+(C( m(σbC)+s)0.5)\sigma_{\mathrm{a}}=\sigma_{\mathrm{b}}+\left(\mathrm{C} *\left(\mathrm{~m}_{*} *\left(\frac{\sigma_{\mathrm{b}}}{\mathrm{C}}\right)+\mathrm{s}\right)^{0.5}\right)

Reference(s)

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


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