current oil saturation,
initial water saturation
k_{row}(s_w) \bigg|_{ s_g =s_{gc}} = k_{rcow} \, \bigg[ \frac{ 1 - s_w - s_{orw} }{ 1- s_{wi} - s_{orw} } \bigg]^{n_{ow}} |
where
| current water saturation | |
current oil saturation, | |
initial water saturation | |
| critical water saturation to oil displacement, below which water is immobile | |
| residual oil saturation to water displacement, below which oil is immobile | |
| oil relative permeability curvature to water displacement | |
| water relative permeability curvature to oil displacement |
| Fig. 1. Typical Oil-Water Relative permeabilities |