# Kerns method for gas flow in a fracture

## Input(s)

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

\(\mu\): Viscosity \((\mathrm{cP})\)

P: Pressure \((\mathrm{psi})\)

## Output(s)

\(V_{g}\): Gas Velocity \((\mathrm{cc})\)

## Formula(s)

\[
V_{g}=\frac{k * P^{2}}{2 * \mu}
\]

## Reference(s)

Ahmed, T., McKinney, P.D. Advanced Reservoir Engineering, Gulf Publishing House, Burlington, MA, 2015.