Stress component near normal faulting in reservoir

Input(s)

α\alpha: Biot (dimensionless)

vv: Poisson (dimensionless)

Shmax \mathrm{Sh}_{\text {max }}: Maximum Principal Stress (psi)

Shmin \mathrm{Sh}_{\text {min }}: Minimum Principal Stress (psi)

dP\mathrm{dP}: Change in Pore Pressure (psi)

θ\theta: Fault Orientation (degrees)

Output(s)

A: Constant a Value (dimensionless)

Sx\mathrm{S}_{\mathrm{x}}: Stress in X\mathrm{X} Direction (psi)

Sy\mathrm{S}_{\mathrm{y}}: Stress in Y\mathrm{Y} Direction (psi)

Txy\mathrm{T}_{\mathrm{xy}}: Normal Stress in Y Direction (psi)

Formula(s)

A=α12v1vSx=Shmax AdPAdP2(1cos(2θπ180))Sy=Shmin AdPAdP2(1+cos(2θπ180)) Txy =AdP2sin(2θπ180)\begin{gathered} \mathrm{A}=\alpha * \frac{1-2 * v}{1-\mathrm{v}} \\ \mathrm{Sx}=\mathrm{Sh}_{\text {max }}-\mathrm{A} * \mathrm{dP}-\mathrm{A} * \frac{\mathrm{dP}}{2} *\left(1-\cos \left(2 * \theta * \frac{\pi}{180}\right)\right) \\ \mathrm{Sy}=\mathrm{Sh}_{\text {min }}-\mathrm{A} * \mathrm{dP}-\mathrm{A} * \frac{\mathrm{dP}}{2} *\left(1+\cos \left(2 * \theta * \frac{\pi}{180}\right)\right) \\ \text { Txy }=\mathrm{A} * \frac{\mathrm{dP}}{2} * \sin \left(2 * \theta * \frac{\pi}{180}\right) \end{gathered}

Reference(s)

Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 381.


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