The difference between phase pressures due to difference in fluids interaction with rock martixmatrix:
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Capillary pressure is a function of reservoir saturation, permeability and wettability.
One of the strong assumptions in reservoir fluid fluid dynamic modelling is that 3-phase capillary pressure is a function of one saturation only:
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Mathematical model of capillary pressure is given by interpolation of laboratory data and also by a number of physical and empirical capillary pressure correlations
See also
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Physics / Fluid Dynamics / Percolation
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Field Study & Modelling