Minimum shut-in time to reach pseudo-steady state for tight gas reservoirs being hydraulically fractured
Input(s)
\(\mu_{g}\): Gas Viscosity \((\mathrm{cP})\)
\(\emptyset\): Porosity (fraction)
\(c_{t}\): Total Compressibility \((1 / \mathrm{psi})\)
\(x_{f}\): Fracture Half Length \((\mathrm{ft})\)
k: Permeability \((\mathrm{mD})\)
Output(s)
\(t_{p s s}\): Time (h)
Formula(s)
\[
t_{p s s}=\frac{474 * \phi * \mu_{g} * c_{t} *\left(x_{f}^{2}\right)}{k}
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 23 .