OIL

WATER

k_{row}(s_o) = k_{rowc} \,  \bigg[  \frac{ s_o - s_{orw}   }{ 1- s_{wi} - s_{orw}  } \bigg]^{n_{ow}}

k_{rwo}(s_w) = k_{rwoc} \,  \bigg[ 

 \frac{ s_w - s_{wc}   }{ 1- s_{wc} - s_{orw}  } \bigg]^{n_{wo}}

current oil saturation,

current water saturation,

residual oil saturation to water displacement, below which oil is immobile

critical water saturation to oil displacement, below which water is immobile

maximum oil relative permeability during water displacement

maximum water relative permeability during oil displacement

oil relative permeability curvature to water displacement

water relative permeability curvature to oil displacement

where is initial water saturation which maybe equal to critical or less than critical like for example in petroleogenetic rocks.

The model assumes no gas presence in pores.

GLOSSARY > Oil+Water RPM Corey @model > image2018-12-20_9-31-20.png

Fig. 1. Typical Oil+Water relative permeability

See also