Minimum shut-in time to reach pseudo-steady state for tight gas reservoirs being hydraulically fractured

Input(s)

μg\mu_{g}: Gas Viscosity (cP)(\mathrm{cP})

\emptyset: Porosity (fraction)

ctc_{t}: Total Compressibility (1/psi)(1 / \mathrm{psi})

xfx_{f}: Fracture Half Length (ft)(\mathrm{ft})

k: Permeability (mD)(\mathrm{mD})

Output(s)

tpsst_{p s s}: Time (h)

Formula(s)

tpss=474ϕμgct(xf2)kt_{p s s}=\frac{474 * \phi * \mu_{g} * c_{t} *\left(x_{f}^{2}\right)}{k}

Reference(s)

Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 23 .


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