Axial stress around vertical wellbore

Input(s)

R: Radius of Wellbore (ft)

r\mathrm{r}: Position in Respect to Centre of Wellbore (ft)

Θ\Theta: Azimuth of Shmax(rad)\mathrm{S}_{\mathrm{hmax}}(\mathrm{rad})

Shmax\mathrm{S}_{\mathrm{hmax}}: Maximum Horizontal Stress (psi)

Shmin\mathrm{S}_{\mathrm{hmin}}: Minimum Horizontal Stress (psi)

Output(s)

τ\tau: Twisting Stress (psi)

Formula(s)

τ=0.5( ShmaxShmin)(1+(2R2r2)(3R4r4))sin(2Θ)\tau=0.5 *\left(\mathrm{~S}_{\mathrm{h} \max }-\mathrm{S}_{\mathrm{h} \min }\right) *\left(1+\left(\frac{2 * \mathrm{R}^{2}}{\mathrm{r}^{2}}\right)-\left(\frac{3 * \mathrm{R}^{4}}{\mathrm{r}^{4}}\right)\right) * \sin (2 * \Theta)

Reference(s)

Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 170.


Related

An unhandled error has occurred. Reload 🗙