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.