Analysis of cake filtration was made by the numerical solution of the appropriate equations of change based on the multiphase flow theory with the assumption that the cake properties are functions of the particle phase compressive stress, p,. Unlike earlier studies which assume the relationship between p, and the pressure of the fluid phase, p(l), to be delp(s), + delp(l) = 0, other possibilities were also considered in view of the recent work of Tien et al. (Chem. Eng. Sci. 56 (2001) 5361). In addition to investigating the effect of the p(s)-p(l) relationship, comparisons of predicted filtration performance with experiments made it possible to substantiate earlier findings that the ps-pl relationship is system specific. The results of the analysis were also used to test the parameter sensitivity of predictions, namely, values of the parameters of the constitutive relationships (i.e. epsilon(s) vs. p(s) and I vs. ps, where epsilon(s) and alpha are the cake solidosity and specific cake resistance). This information, in turn, can be used as a bench mark for improving existing and developing new procedures for determining cake soliclosity and permeability. (C) 2004 Published by Elsevier Ltd.