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OILWATER


LaTeX Math Block
anchorM1AZD
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k_{row}(s_w) \bigg|_{ s_g =s_{gc}} = k_{rowc} \,  \bigg[  \frac{ 1 - s_w - s_{orw}   }{ 1- s_{wi} - s_{orw}  } \bigg]^{n_{ow}}



LaTeX Math Block
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k_{rwo}(s_w) \bigg|_{ s_g =s_{gc}} = k_{rwoc} \,  \bigg[ 

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


LaTeX Math Inline
bodys_o

current oil saturation,

LaTeX Math Inline
bodys_o + s_w = 1 - s_{gc}

LaTeX Math Inline
bodys_w

current water saturation

LaTeX Math Inline
bodys_{gc}

residual gas saturation to oil displacement

LaTeX Math Inline
bodys_{wi}

initial water saturation

LaTeX Math Inline
bodys_{orw}

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

LaTeX Math Inline
bodys_{wс}

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

LaTeX Math Inline
bodyk_{rowc}

maximum oil relative permeability

LaTeX Math Inline
bodyk_{rwoc}

maximum water relative permeability

LaTeX Math Inline
bodyn_{ow}

oil relative permeability curvature to water displacement

LaTeX Math Inline
bodyn_{wo}

water relative permeability curvature to oil displacement


Initial water saturation 

LaTeX Math Inline
bodys_{wi}
 maybe equal to critical 
LaTeX Math Inline
bodys_{wс}
 or less than critical 
LaTeX Math Inline
bodys_{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 ] [ Relative permeability ]