Formula 11.45
Minimum normal stress in tangential direction at wellbore wall (hoop stress)
Input(s)
$S_{\text {hmax }}$: Maximum Principal Stress in Reservoir (psi)
$S_{\text {hmin }}$: Minimum Principal Stress in Reservoir (psi)
Po: Pore Pressure (psi)
$S_{d t}$: Stress induced due to Temperature (psi)
$\mathrm{dP:} \quad$ Difference Between Wellbore Pressure and Mud Weight (psi)
Output(s)
sig $_{t h}$: Minimum Hoop Stress in Tangential Direction at Wellbore Wall (psi)
Formula(s)
$$ \operatorname{sig}_{\mathrm{th}}=3 * \mathrm{~S}_{\mathrm{hmin}}-\mathrm{S}_{\mathrm{hmax}}-2 * \mathrm{Po}-\mathrm{dP}-\mathrm{S}_{\mathrm{dt}} $$
Reference(s)
Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 238.