Theory of nonequilibrium effects associated with the flow of nonuniform fluids in porous media

1980 ◽  
Vol 15 (3) ◽  
pp. 365-369 ◽  
Author(s):  
V. M. Entov
Keyword(s):  
Porous Media ◽  
Nonuniform Fluids ◽  
Nonequilibrium Effects

Numerical Investigation of Forced Convection Nonequilibrium Effects on Heat and Mass Transfer in Porous Media

2016 ◽  
Vol 38 (1) ◽  
pp. 122-136 ◽  
Author(s):  
Ali Bousri ◽  
Rachid Nebbali ◽  
Rachid Bennacer ◽  
Khedidja Bouhadef ◽  
Hassen Beji
Keyword(s):  
Mass Transfer ◽  
Porous Media ◽  
Numerical Investigation ◽  
Heat And Mass Transfer ◽  
Forced Convection ◽  
Nonequilibrium Effects

Nonequilibrium Effects and Multiphase Flow in Porous Media

2013 ◽  
Vol 97 (3) ◽  
pp. 373-394 ◽  
Author(s):  
Saman A. Aryana ◽  
Anthony R. Kovscek
Keyword(s):  
Porous Media ◽  
Multiphase Flow ◽  
Flow In Porous Media ◽  
Nonequilibrium Effects

scholarly journals Discovery of Dynamic Two-Phase Flow in Porous Media Using Two-Dimensional Multiphase Lattice Boltzmann Simulation

Energies ◽  
2021 ◽  
Vol 14 (13) ◽  
pp. 4044
Author(s):  
Guanxi Yan ◽  
Zi Li ◽  
Thierry Bore ◽  
Sergio Andres Galindo Torres ◽  
Alexander Scheuermann ◽  
...  
Keyword(s):  
Porous Media ◽  
Lattice Boltzmann ◽  
Two Phase Flow ◽  
Flow In Porous Media ◽  
Immiscible Fluid ◽  
Phase Flow ◽  
Dynamic Effects ◽  
Two Phase ◽  
Nonequilibrium Effects ◽  
Phase Fluid

The dynamic two-phase flow in porous media was theoretically developed based on mass, momentum conservation, and fundamental constitutive relationships for simulating immiscible fluid-fluid retention behavior and seepage in the natural geomaterial. The simulation of transient two-phase flow seepage is, therefore, dependent on both the hydraulic boundaries applied and the immiscible fluid-fluid retention behavior experimentally measured. Many previous studies manifested the velocity-dependent capillary pressure–saturation relationship (Pc-S) and relative permeability (Kr-S). However, those works were experimentally conducted on a continuum scale. To discover the dynamic effects from the microscale, the Computational Fluid Dynamic (CFD) is usually adopted as a novel method. Compared to the conventional CFD methods solving Naiver–Stokes (NS) equations incorporated with the fluid phase separation schemes, the two-phase Lattice Boltzmann Method (LBM) can generate the immiscible fluid-fluid interface using the fluid-fluid/solid interactions at a microscale. Therefore, the Shan–Chen multiphase multicomponent LBM was conducted in this study to simulate the transient two-phase flow in porous media. The simulation outputs demonstrate a preferential flow path in porous media after the non-wetting phase fluid is injected until, finally, the void space is fully occupied by the non-wetting phase fluid. In addition, the inter-relationships for each pair of continuum state variables for a Representative Elementary Volume (REV) of porous media were analyzed for further exploring the dynamic nonequilibrium effects. On one hand, the simulating outcomes reconfirmed previous findings that the dynamic effects are dependent on both the transient seepage velocity and interfacial area dynamics. Nevertheless, in comparison to many previous experimental studies showing the various distances between the parallelly dynamic and static Pc-S relationships by applying various constant flux boundary conditions, this study is the first contribution showing the Pc-S striking into the nonequilibrium condition to yield dynamic nonequilibrium effects and finally returning to the equilibrium static Pc-S by applying various pressure boundary conditions. On the other hand, the flow regimes and relative permeability were discussed with this simulating results in regards to the appropriateness of neglecting inertial effects (both accelerating and convective) in multiphase hydrodynamics for a highly pervious porous media. Based on those research findings, the two-phase LBM can be demonstrated to be a powerful tool for investigating dynamic nonequilibrium effects for transient multiphase flow in porous media from the microscale to the REV scale. Finally, future investigations were proposed with discussions on the limitations of this numerical modeling method.

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