Estimation of Imbibition Capillary Pressure Curves from Spontaneous Imbibition Data

A closed-form solution for calculating imbibition capillary pressure from experimental data has been derived oil the basis of the assumption of a constant capillary diffusion coefficient combined with Corey functions for the relative permeability Curves. The Solution is almost similar to the capillary pressure correlation reported by Skjaeveland et al. (Skjaeveland, S. M.; Siqveland, L. W Kjosavik, A.; Hammervold Thomas, W. L., Virnovsky, G. SPE Reservoir Eval. Eng. 2000, 3 (1), 60-67), but it allows for calculation of the empirical fit parameters from experimental data. Calculated imbibition capillary Pressure Curves Show the Correct qualitative behavior because Of Variations ill the curvature Of the relative permeability curves, the end-point values oil the relative permeability curves, the absolute permeability, and the capillary diffusion coefficient. Capillary pressure threshold values calculated from the model are ill accordance with experimental data, assuming reasonable input data. The model, however, needs to be tested more against experimental data to confirm its potential to calculate reliable imbibition capillary pressure Curves and capillary pressure threshold values.