Maximum plane tangential stress acting on deviated wellbore (2)

Input(s)

$\sigma_{z z}$: Radial Stress (psi)

$\sigma_{a a}$: Axial Stress (psi)

$\tau$: Shear Stress (psi)

Output(s)

$\sigma_{\text {tmax }}$: MaximumTangential Stress (psi)

Formula(s)

$$ \sigma_{\mathrm{tmax}}=0.5 *\left(\sigma_{\mathrm{zz}}+\sigma_{\mathrm{aa}}-\left(\left(\left(\sigma_{\mathrm{zz}}-\sigma_{\mathrm{aa}}\right)^{2}\right)+4 * \tau^{2}\right)^{0.5}\right) $$

Reference(s)

Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 239.