Formula 11.27
Initial effective horizontal stress
Input(s)
v: Poisson (unitless)
$\rho$: Overburden Density $\left(\mathrm{lb} / \mathrm{ft}^{3}\right)$
$\mathrm{H}$: Formation Depth (ft)
$\alpha$: Biot Constant (unitless)
$p_{p}$: Reservoir Pressure (psi)
Output(s)
$\sigma_{h}$: Effective Horizontal Stress (psi)
Formula(s)
$$ \sigma_{\mathrm{h}}=\left(\frac{v}{1-v}\right) *\left(\left(\rho * \frac{\mathrm{H}}{144}\right)-\left(\alpha * \mathrm{p}_{\mathrm{p}}\right)\right) $$
Reference(s)
Boyun, G., William, C., \& Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted Approach Page: 259.