Pressure to grow fractures (Abe, Mura, et al.)

Input(s)

ScS_{c}: Minimum Principle Stress (psi)

PpP_{p}: Pore Pressure (psi)(\mathrm{psi})

cfc_{f}: Radius of Fracture (in.)

cic_{i}: Radius of Invaded Zone (in.)

Output(s)

Pgrow : Growth Pressure (psi) P_{\text {grow }}: \quad \text { Growth Pressure (psi) }

Formula(s)

Pgrow =Sc(1(PpSc)(1(cfci)2)0.51((1(cfci)2)0.5))\mathrm{P}_{\text {grow }}=\mathrm{S}_{\mathrm{c}} *\left(\frac{1-\left(\frac{\mathrm{P}_{\mathrm{p}}}{\mathrm{S}_{\mathrm{c}}}\right) *\left(1-\left(\frac{\mathrm{c}_{\mathrm{f}}}{\mathrm{c}_{\mathrm{i}}}\right)^{2}\right)^{0.5}}{1-\left(\left(1-\left(\frac{\mathrm{c}_{\mathrm{f}}}{\mathrm{c}_{\mathrm{i}}}\right)^{2}\right)^{0.5}\right)}\right)

Reference(s)

Mark D. Zoback, Reservoir Geomechanics, Cambridge University Press, UK, Page: 326.

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