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.