Horizontal effective stress (assuming no lateral strain as per Lorenz and Teufel)
Input(s)
\(v\): Poisson Ratio (dimensionless)
Sv: Vertical Overburden Stress (psi)
\(\alpha\): Biot Coefficient (dimensionless)
P: Pore Pressure (psi)
Output(s)
\(S_{\text {hor }}\): Horizontal Stress (psi)
Formula(s)
\[
\mathrm{S}_{\mathrm{hor}}=\left(\frac{v}{1-\mathrm{v}}\right) * \mathrm{~Sv}+\alpha * \mathrm{P} *\left(1-\frac{v}{1-v}\right)
\]
Reference(s)
Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 381.