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The explicit form of physical correlations is given by following analytical formulaPhysical correlation for capillary pressure on reservoir saturation:

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anchor	Pcow
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P_{cow} (s_w) = \frac{ (\sigma \cos \theta) _{ow} } { \sqrt \frac{k}{\phi}} \; J_{cow}(s_w)

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anchor	Pcog
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P_{cog} (s_g) = \frac{  (\sigma \cos \theta)_{og} } { \sqrt \frac{k}{\phi}} \; J_{cog}(s_g)

where

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body	\sigma_{ow}

oil-water surface tension

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body	\sigma_{og}

oil-gas surface tension

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body	\theta_{ow}

oil-gas contact angle

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body	\theta_{og}

oil-gas contact angle

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body	k

absolute permeability to air

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body	\phi

porosity

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body	J_{cow}(s_w)

some function of water saturation

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body	J_{cog}(s_g)

some function of gas saturation

The functions

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body	J_{cow}(s_w)

and

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body	J_{cog}(s_g)

They are individual to every certain rock type, just like relative permeability curves.

There are many correlations for Leverett J-functions and the most popular is Brooks-Corey correlation:

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