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 ,