Leverett J-function

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This article may be too technical for most readers to understand. Please help improve this article to make it understandable to non-experts, without removing the technical details. The talk page may contain suggestions. (June 2012)

In petroleum engineering, the Leverett J-function is a dimensionless function of water saturation describing the capillary pressure[1], \[J(S_w) = \frac{p_c(S_w) \sqrt{k/\phi}}{\sigma \cos \theta}\] where \(S_w\) is the water saturation measured as a fraction, \(p_c\) is the capillary pressure (in pascal), \(k\) is the permeability (measured in m²), \(\phi\) is the porosity (0-1), \(\sigma\) is the surface tension and \(\theta\) is the contact angle. The function is important in that it is constant for a given saturation within a reservoir, thus relating reservoir properties for neighboring beds.

The Leverett J-function is an attempt at extrapolating capillary pressure data for a given rock to rocks that are similar but with differing permeability, porosity and wetting properties. It assumes that the porous rock can be modelled as a bundle of non-connecting capillary tubes, where the factor \(\sqrt{k/\phi}\) is a characteristic length of the capillaries' radii.

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