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.