Relations between Seepage Velocities in Immiscible, Incompressible Two-Phase Flow in Porous Media
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2017
- DOI:
- 10.48550/arXiv.1712.06823
- arXiv:
- arXiv:1712.06823
- Bibcode:
- 2017arXiv171206823H
- Keywords:
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- Physics - Fluid Dynamics
- E-Print:
- This work is a major advancement from the previous work presented in arXiv:1605.02874v2. 27 pages, 7 figures