Fracture gradient (Matthews and Kelly)
Input(s)
\(\sigma_{\text {min }}\): Minimum Principle Horizontal Stress (psi)
\(\sigma_{v}\): Vertical Principle Stress (psi)
\(S_{v}\): Vertical Stress (psi)
\(P_{p}\): Pore Pressure (psi)
Output(s)
\(S_{\text {hmin }}\): Minimum Horizontal Stress (psi)
Formula(s)
\[
\mathrm{S}_{\mathrm{hmin}}=\left(\frac{\sigma_{\min }}{\sigma_{\mathrm{v}}}\right) *\left(\mathrm{~S}_{\mathrm{v}}-\mathrm{P}_{\mathrm{p}}\right)+\mathrm{P}_{\mathrm{p}}
\]
Reference(s)
Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 281.