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.