Relations Between Seepage Velocities in Immiscible,Incompressible Two-Phase Flow in Porous Media |
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Authors: | Alex Hansen Santanu Sinha Dick Bedeaux Signe Kjelstrup Magnus Aa. Gjennestad Morten Vassvik |
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Affiliation: | 1.PoreLab and Department of Physics,Norwegian University of Science and Technology,Trondheim,Norway;2.CSRC,Beijing,China;3.PoreLab and Department of Chemistry,Norwegian University of Science and Technology,Trondheim,Norway |
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Abstract: | Based on thermodynamic considerations, we derive a set of equations relating the seepage velocities of the fluid components in immiscible and incompressible two-phase flow in porous media. They necessitate the introduction of a new velocity function, the co-moving velocity. This velocity function is a characteristic of the porous medium. Together with a constitutive relation between the velocities and the driving forces, such as the pressure gradient, these equations form a closed set. We solve four versions of the capillary tube model analytically using this theory. We test the theory numerically on a network model. |
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