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@wikipedia


The difference between phase pressures due to difference in fluids interaction with rock matrix:


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anchorpcog
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p_{cog} = p_o - p_g



oil-gas capillary pressure


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anchorpcow
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p_{cow} = p_o - p_w



oil-water capillary pressure


One of the strong assumptions in reservoir fluid dynamic modelling is that 3-phase capillary pressure is a function of one saturation only:


LaTeX Math Block
anchorNOGBY
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p_{cog} = p_{cog}(s_o)



a function of oil saturation only

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bodys_o


LaTeX Math Block
anchorERU7X
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p_{cow} = p_{cow}(s_w)



a function of water saturation only

LaTeX Math Inline
bodys_w