Gas flow under laminar viscous conditions

Input(s)

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

h\mathrm{h}: Thickness (ft)(\mathrm{ft})

φr\varphi_{r}: Average Reservoir Real-Gas Pseudo-Pressure (psi)

φwf\varphi_{w f}: Real-Gas Pseudo-flowing Pressure (psi)

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

A: Drainage Area (ft2)\left(\mathrm{ft}^{2}\right)

CAC_{A}: Shape Factor (dimensionless)

rwr_{w}: Wellbore Radius (ft)(\mathrm{ft})

S: Skin (dimensionless)

Output(s)

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

Formula(s)

Qg=kh(φrφwf)1422T(0.5ln(4A1.781CArw2)+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 ,


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