Rotation of maximum principal stress near wellbore

Input(s)

A: Stress Field Direction (dimensionless)

Pp\mathrm{P}_{\mathrm{p}}: Change in Pore Pressure (psi)(\mathrm{psi})

θ\theta: Fault Orientation (degrees)

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

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

Output(s)

γ\gamma: Rotation (degrees)

Formula(s)

γ=0.5atan(APpsin(2θ)ShmaxShmin+APpcos(2θ))\gamma=0.5 * \operatorname{atan}\left(\frac{\mathrm{A} * \mathrm{P}_{\mathrm{p}} * \sin (2 * \theta)}{\mathrm{S}_{\mathrm{hmax}}-\mathrm{S}_{\mathrm{hmin}}+\mathrm{A} * \mathrm{P}_{\mathrm{p}} * \cos (2 * \theta)}\right)

Reference(s)

Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 393.


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