| (1) | 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
s_w | current water saturation |
s_o | current oil saturation, s_o = 1 - s_w |
s_{wi} | initial water saturation |
s_{wс} | critical water saturation to oil displacement, below which water is immobile |
s_{orw} | residual oil saturation to water displacement, below which oil is immobile |
n_{ow} | oil relative permeability curvature to water displacement |
n_{wo} | water relative permeability curvature to oil displacement |
| Fig.1. Typical Oil-Water Relative permeabilities |