Normal stress in tangential direction at wellbore wall (hoop stress)
Input(s)
Shmax: Maximum Principal Stress in reservoir (psi)
Shmin: Minimum Principal Stress in reservoir (psi)
Po: Pore Pressure (psi)
\(S d t\): Stress induced due to temperature (psi)
\(d P\): Difference between Wellbore Pressure and Mud Weight (psi)
\(\theta\): Angle from \(S_{\text {hmax }}\) at which stress is measured (degrees)
Output(s)
sig \(_{\text {th }}\): Hoop Stress in Tangential Direction at Wellbore Wall (psi)
Formula(s)
\[
\operatorname{sig}_{\mathrm{th}}=(\operatorname{Shmax}+\mathrm{Shmin})-2 *(\text { Shmax }-\operatorname{Shmin}) * \cos \left(2 * \theta * \frac{3.142}{180}\right)-2 * \text { Po }-\mathrm{dP}-\mathrm{Sdt}
\]
Reference(s)
Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 102.