Low-pressure region gas flow rate for non-circular drainage area
Input(s)
\(\mathrm{k}\): Permeability \((\mathrm{mD})\)
\(\mathrm{h}\): Thickness (ft)
\(P_{r}\): Average Reservoir Pressure (psi)
\(P_{w r}\): Well Flowing Pressure (psi)
\(\mu_{\text {gavg }}\): Average Gas Viscosity (cP)
\(Z_{\text {avg }}\): Average Gas Compressibility Factor (Dimensionless) A: Drainage Area \(\left(\mathrm{ft}^{2}\right)\)
\(C_{A}\): Shape Factor (dimensionless)
\(r_{w}\): Wellbore Radius (ft)
S: Skin (dimensionless)
T: Temperature \((\mathrm{R})\)
Output(s)
\(Q_{g}\): Gas Flow Rate \((\mathrm{MSCF} /\) day \()\)
Formula(s)
\[
Q_{g}=\frac{k * h *\left(\left(P_{r}^{2}\right)-\left(\left(P_{w f}\right)^{2}\right)\right)}{1422 * \mu_{\text {gavg }} * T * Z_{\text {avg }} *\left(0.5 * \ln \left(\frac{4 * A}{1.781 * C_{A} *\left(r_{w}^{2}\right)}\right)+S\right)}
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 189.