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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

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bodys_w

current water saturation

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bodys_o

current oil saturation,

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bodys_o = 1 - s_w

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bodys_{wi}

initial water saturation

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bodys_{wс}

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

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bodys_{orw}

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

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bodyn_{ow}

oil relative permeability curvature to water displacement

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bodyn_{wo}

water relative permeability curvature to oil displacement

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Fig.1. Typical Oil-Water Relative permeabilities