Relative permeability - Corey exponents

Input(s)

$k_{\text {roe }}$: Permeability at end point $(\mathrm{mD})$

$S_{w}$: Saturation of Water (fraction)

$S_{\text {or }}$: Residual Water Saturation (fraction)

$S_{w i}$: Initial Water Saturation (fraction)

$N_{o}$: Corey Coefficient (fraction)

Output(s)

$k_{r o}$: Relative Permeability at given Saturation (mD)

Formula(s)

$$ k_{r o}=k_{r o e} *\left(\frac{1-S_{w}-S_{o r}}{1-S_{w i}-S_{o r}}\right)^{N_{o}} $$

Reference(s)

Dandekar, A. Y. 2006. Petroleum Reservoir Rock and Fluid Properties. Boca Raton, FL: CRC Press Taylor \& Francis Group, Chapter: 9, Page: 233.