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.