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.