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# Capillary pressure

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@wikipedia

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

 (1)
 (2)

Capillary pressure is a function of reservoir saturationpermeability and wettability.

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

 (3)

a function of oil saturation only $//$

 (4)

a function of water saturation only
$//$

Mathematical model of capillary pressure is given by interpolation of laboratory data and also by a number of physical and empirical capillary pressure correlations