Torcaso and Wyllie's correlation for relative permeability ratio prediction

Input(s)

$\mathrm{S}_{\mathrm{o}}$: Oil Saturation (fraction)

$\mathrm{S}_{\mathrm{wi}}$: Initial Water Saturation (fraction)

krg: Gas Relative Permeability (dimensionless)

Output(s)

S: Saturation (fraction)

kog: Oil Relative Permeability Ratio (fraction)

Formula(s)

$$ \begin{gathered} \mathrm{S}=\frac{\mathrm{S}_{\mathrm{o}}}{1-\mathrm{S}_{\mathrm{wi}}} \\ \operatorname{kog}=\operatorname{krg} * \frac{(1-\mathrm{S})^{2} *\left(1-\mathrm{S}^{2}\right)}{\mathrm{S}^{4}} \end{gathered} $$

Reference(s)

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