Maximum principal stress calculation using breakout width

Input(s)

\(S_{\text {hmin }}\): Minimum Principal Stress in Reservoir (psi)

\(C_{o}\): Distance from Wellbore \((\mathrm{ft})\)

Pp: Pore Pressure (psi)

\(\mathrm{S}_{\mathrm{dt}}\): Stress induced Due to Temperature \((\mathrm{psi})\)

\(\mathrm{dP}\): Difference Between Wellbore Pressure and Mud Weight (psi)

\(\Theta\): Angle from Wellbore Breakout Width (rad)

Output(s)

\(S_{h m i n}\): Maximum Principal Stress in Reservoir (psi)

Formula(s)

\[ \mathrm{S}_{\mathrm{hmax}}=\frac{\left(\left(\mathrm{C}_{\mathrm{o}}\right)+2 * \mathrm{Pp}+\mathrm{dP}+\mathrm{Sdt}\right)-\mathrm{S}_{\mathrm{hmin}} *(1+2 * \cos (\Theta))}{1-2 * \cos (\Theta)} \]

Reference(s)

Mark D. Zoback., Reservoir Geomechanics, Cambridge University Press, UK, Page: 223.

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