Patent ID: 8224629

Claim:
A method for modeling a saturation dependant property in a sample, wherein the property is selected from the group consisting of capillary pressure and relative permeability, the method comprising the steps of: (a) obtaining a spatially resolved measurement of fluid saturation in the sample using an external force; (b) determining a measured value of a saturation dependant property from the measurement; (c) fitting a model to the measured value to obtain a model value for the measured value; (d) optimizing the fit of the model to the measured value by minimizing an error between the model and the measured value where the error is a distance between the measured value and the model value, wherein the error is modeled by the following equation: Error = ∑ { ( S w - measured - S w - calculated S w - FullScale ) 2 + ( P C - measured - P C - calculated P C - FullScale ) 2 } where S w-measured is measured water saturation, S w-calculated and P c-calculated are calculated water saturation and capillary pressure from a capillary pressure model equation, S w-Fullscale is maximum measured water saturation, P c-measured is measured capillary pressure and P c-Fullscale is maximum measured capillary pressure; and (e) repeating step (d).