Shear stress near vertical well

Input(s)

$\mathrm{S}_{\mathrm{hmax}}$: Maximum Principal Stress in reservoir (psi)

$\mathrm{S}_{\mathrm{hmin}}$: Minimum Principal Stress in reservoir (psi)

$\mathrm{r}$: Distance from wellbore $(\mathrm{ft})$

$\mathrm{R}$: Radius of wellbore $(\mathrm{ft})$

$\theta$: Angle from $S_{\text {hmax }}$ at which stress is measured (degrees)

Output(s)

sig $_{r t h}$: Shear Stress near Vertical Well (psi)

Formula(s)

$$ \operatorname{sig}_{\mathrm{rth}}=0.5 *\left(\mathrm{~S}_{\mathrm{h} \max }+\mathrm{S}_{\mathrm{hmin}}\right) *\left(1+2 * \frac{\mathrm{R}^{2}}{\mathrm{r}^{2}}-3 * \frac{\mathrm{R}^{4}}{\mathrm{r}^{4}}\right) * \sin \left(2 * \theta * \frac{3.142}{180}\right) $$

Reference(s)

petrowiki.org.