Journal
TRANSPORT IN POROUS MEDIA
Volume 74, Issue 3, Pages 275-292Publisher
SPRINGER
DOI: 10.1007/s11242-007-9194-4
Keywords
two-phase flow; wetting; relative permeability > 1; slip model; special core analysis
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Flow in porous media described by Darcy's law extended to two-phase flow using the concept of relative permeabilities k(r) naturally assumes a maximum value of 0 <= k(r) <= 1. Reports in literature and our own experimental data show endpoint relative permeabilities k(r) > 1. In the porous medium, the flux of the non-wetting phase is in many cases about 2-4 times higher when a small amount of the wetting phase is present. Here, we draw an analogy between k(r) > 1 and a slip-boundary condition for the pore scale flow. We use a model description assuming flow in capillary tubes with a slip boundary condition. This model predicts that the flux increase due to slip depends on the equivalent capillary radius of the flow channels. Our k(r) data specifically follows this dependence indicating that slip is a plausible explanation for the observation of k(r) > 1.
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