Journal
ADVANCES IN WATER RESOURCES
Volume 24, Issue 3-4, Pages 365-384Publisher
ELSEVIER SCI LTD
DOI: 10.1016/S0309-1708(00)00062-2
Keywords
three-phase flow; relative permeability; saturation-dependency; weakly wetted pores; contact angles; interfacial tensions; mixed-wet; fractionally wet
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The saturation-dependency behaviour of three-phase relative permeabilities is of central importance for modelling three-phase displacement processes in porous media. In this paper, and in related work, a method has been developed to determine the saturation-dependencies of three-phase relative permeabilities. This method is suitable for all types of mixed-wet and fractionally wet porous systems that contain clusters of oil-wet and water-wet pores with constant but different oil-water contact angles, reflecting weakly wetted conditions. Based on the classification of all allowed pore occupancies in a completely accessible porous medium, saturation-dependencies of the corresponding relative permeabilities are derived. Furthermore, three-phase relative permeabilities that appear to depend only on their own saturations are either linked to the corresponding two-phase relative permeabilities or it is shown that such a link cannot be established. A comparison has been made with existing relative permeability models with respect to their saturation-dependencies. (C) 2001 Elsevier Science Ltd. All rights reserved.
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