A computational algorithm for tracking liquid- vapor interfaces moving with
curvature-dependent velocity, based on, the Gibbs energy formulation. and
the level-set approach is described. The algorithm is used for finding equi
librium distributions of condensate in several samples of 3-D reconstructed
porous media under varying relative saturation of the surrounding atmosphe
re. Primary and higher-order hysteresis cycles are calculated and their dep
endence on various physico-chemical parameters (temperature, wetting angle)
as well as on geometrical properties of the porous medium is investigated.
An explanation of the influence of the morphology of a porous medium on th
e character of corresponding hysteresis loops is provided.