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.