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.