Low-pressure region gas flow rate for non-circular drainage area

Input(s)

k\mathrm{k}: Permeability (mD)(\mathrm{mD})

h\mathrm{h}: Thickness (ft)

PrP_{r}: Average Reservoir Pressure (psi)

PwrP_{w r}: Well Flowing Pressure (psi)

μgavg \mu_{\text {gavg }}: Average Gas Viscosity (cP)

Zavg Z_{\text {avg }}: Average Gas Compressibility Factor (Dimensionless) A: Drainage Area (ft2)\left(\mathrm{ft}^{2}\right)

CAC_{A}: Shape Factor (dimensionless)

rwr_{w}: Wellbore Radius (ft)

S: Skin (dimensionless)

T: Temperature (R)(\mathrm{R})

Output(s)

QgQ_{g}: Gas Flow Rate (MSCF/(\mathrm{MSCF} / day ))

Formula(s)

Qg=kh((Pr2)((Pwf)2))1422μgavg TZavg (0.5ln(4A1.781CA(rw2))+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.


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