Torcaso and Wyllie's correlation for relative permeability ratio prediction

Input(s)

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

Swi\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)

S=So1Swikog=krg(1S)2(1S2)S4\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.


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