(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 |
Initial water saturation s_{wi} maybe equal to critical s_{wс} or less than critical s_{wi} < s_{wc} like for example for some petroleogenetic rocks
Fig. 1. Typical Oil-Water relative permeabilities |
See also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics
[ Permeability ] [ Absolute permeability ]