# Calculation of fractional flow curve

## Input(s)

\(\mu_{w}\): Water Viscosity \((\mathrm{cP})\)

\(k_{r w}\): Relative Permeability to Water (dimensionless)

\(k_{r o}\): Relative Permeability to Oil (dimensionless)

\(\mu_{o}\): Oil Viscosity \((\mathrm{cP})\)

## Output(s)

\(f_{w}\): Fraction of Total Flowing Stream Composed of Water (dimensionless)

## Formula(s)

\[
f_{w}=\frac{1}{1+\frac{\mu_{w} * k_{r o}}{k_{r w} * \mu_{o}}}
\]

## Reference(s)

Craig Jr. F. F., 2004, the Reservoir Engineering Aspects of Waterflooding, Vol. 3. Richardson, Texas: Monograph Series, SPE, Page: 112.