Formula 3.57
Time to reach the semi-steady state for a gas well in a circular or square drainage area (2)
Input(s)
$\mu_{g i}$: Initial Gas Viscosity $(\mathrm{cP})$
$\emptyset$: Porosity (fraction)
A: Drainage Area $\left(\mathrm{ft}^{2}\right)$
$\mathrm{k}$: Effective Gas Permeability $(\mathrm{mD})$
$c_{t i}$: Initial Total Compressibility $(1 / \mathrm{psi})$
Output(s)
$t_{p s s}$: Time (h)
Formula(s)
$$ t_{p s s}=\frac{15.8 \phi * \mu_{g i} * c_{t i} * A}{k} $$
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 194.