Gas flow under laminar viscous conditions
Input(s)
k: Permeability \((\mathrm{mD})\)
\(\mathrm{h}\): Thickness \((\mathrm{ft})\)
\(\varphi_{r}\): Average Reservoir Real-Gas Pseudo-Pressure (psi)
\(\varphi_{w f}\): Real-Gas Pseudo-flowing Pressure (psi)
\(\mathrm{T}\): Temperature \((\mathrm{R})\)
A: Drainage Area \(\left(\mathrm{ft}^{2}\right)\)
\(C_{A}\): Shape Factor (dimensionless)
\(r_{w}\): Wellbore Radius \((\mathrm{ft})\)
S: Skin (dimensionless)
Output(s)
\(Q_{g}\): Gas Flow Rate \((\mathrm{MSCF} / \mathrm{d})\)
Formula(s)
\[
Q_{g}=\frac{k * h *\left(\varphi_{r}-\varphi_{w f}\right)}{1422 * T *\left(0.5 * \ln \left(\frac{4 * A}{1.781 * C_{A} * r_{w}^{2}}\right)+S\right)}
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 188 ,