Gas flow rate into the wellbore
Input(s)
k: Permeability \((\mathrm{mD})\)
\(\partial P\): Pressure Differential (psi)
L: Length of Section Open to Wellbore (ft)
\(\mathrm{u}\): Viscosity of intruding Gas (cP)
\(R_{e}\): Radius of Drainage ( \(\mathrm{ft}\) )
\(R_{w}\): Radius of Wellbore \((\mathrm{ft})\)
Output(s)
Q: Flow Rate (bbl/min)
Formula(s)
\[
Q=\frac{0.007 * k *(\partial P) * L}{u * \ln \left(\frac{R_{e}}{R_{w}}\right) * 1440}
\]
Reference(s)
Lapeyrouse, N. J., 2002, Formulas and Calculations for Drilling, Production and Workover, Second Edition, Gulf Professional Publishing, Page: 136.