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 .