Leverett J-function

In petroleum engineering, the Leverett "J"-function is a dimensionless function of water saturation describing the capillary pressure [] , :$J(S\_w)\; =\; frac\{p\_c(S\_w)\; sqrt\{k/phi\{sigma\; cos\; heta\}$where $S\_w$ is the water saturation measured as a fraction, $p\_c$ is the capillary pressure, $k$ is the permeability, $phi$ is the porosity, $sigma$ is the surface tension and $heta$ is the contact angle.

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.

References

External links

* http://www.ux.uis.no/~s-skj/ResTek1-v03/Notater/Tamu.Lecture.Notes/Capillary.Pressure/Lecture_16.ppt