Shear stress near vertical well

Input(s)

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

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

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

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

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

Output(s)

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

Formula(s)

sigrth=0.5( Shmax+Shmin)(1+2R2r23R4r4)sin(2θ3.142180)\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.


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