The Effect of Capillary Pressure and Gravity on Two-Phase Fluid Flow in a Porous Medium

1959 ◽  
Vol 216 (01) ◽  
pp. 147-155 ◽  
Author(s):  
F.J. Fayers ◽  
J.W. Sheldon
2014 ◽  
Vol 49 (6) ◽  
pp. 783-788 ◽  
Author(s):  
M. N. Dmitriev ◽  
N. M. Dmitriev ◽  
A. N. Kuzmichev ◽  
V. M. Maksimov

2014 ◽  
Vol 6 ◽  
pp. 871021 ◽  
Author(s):  
Jie Chen ◽  
Shuyu Sun ◽  
Zhangxin Chen

This paper reports a numerical study of coupling two-phase fluid flow in a free fluid region with two-phase Darcy flow in a homogeneous and anisotropic porous medium region. The model consists of coupled Cahn-Hilliard and Navier-Stokes equations in the free fluid region and the two-phase Darcy law in the anisotropic porous medium region. A Robin-Robin domain decomposition method is used for the coupled Navier-Stokes and Darcy system with the generalized Beavers-Joseph-Saffman condition on the interface between the free flow and the porous media regions. Obtained results have shown the anisotropic properties effect on the velocity and pressure of the two-phase flow.


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