- Modeling Wicking in Deformable Porous Media Using Mixture Theory

2012 ◽  
pp. 308-339
Keyword(s):  
Porous Media ◽  
Mixture Theory ◽  
Deformable Porous Media

scholarly journals A Review of Mixture Theory for Deformable Porous Media and Applications

2017 ◽  
Vol 7 (9) ◽  
pp. 917 ◽  
Author(s):  
Javed Siddique ◽  
Aftab Ahmed ◽  
Asim Aziz ◽  
Chaudry Khalique
Keyword(s):  
Porous Media ◽  
Mixture Theory ◽  
Deformable Porous Media

scholarly journals Dynamic loading of deformable porous media can induce active solute transport

2008 ◽  
Vol 41 (15) ◽  
pp. 3152-3157 ◽  
Author(s):  
Michael B. Albro ◽  
Nadeen O. Chahine ◽  
Roland Li ◽  
Keith Yeager ◽  
Clark T. Hung ◽  
...  
Keyword(s):  
Porous Media ◽  
Solute Transport ◽  
Dynamic Loading ◽  
Deformable Porous Media

scholarly journals Invasion patterns during two-phase flow in deformable porous media

2015 ◽  
Vol 3 ◽  
Author(s):  
Fredrik K. Eriksen ◽  
Renaud Toussaint ◽  
Knut J. Måløy ◽  
Eirik G. Flekkøy
Keyword(s):  
Porous Media ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Deformable Porous Media ◽  
Invasion Patterns

scholarly journals Modeling chemical reactions in porous media: a review

2021 ◽  
Vol 33 (6) ◽  
pp. 2279-2300
Author(s):  
Bettina Detmann
Keyword(s):  
Porous Media ◽  
Chemical Reactions ◽  
Chemical Potential ◽  
Mixture Theory ◽  
Reaction Diffusion ◽  
Second Law Of Thermodynamics ◽  
Reaction Diffusion Equations ◽  
Set Up ◽  
The 1960S ◽  
In The Beginning

AbstractFirst, different porous media theories are presented. Some approaches are based on the classical mixture theory for fluids introduced in the 1960s by Truesdell and Coworkers. One of the first researchers who extended the theory to porous media (thus mixtures containing at least one solid constituent) and also accounting for chemical reactions was Bowen. Another important branch of porous media theory goes back to Biot. In the beginning, he dealt with classical geotechnical problems and set up his model empirically. Mathematicians often use reaction–diffusion equations which are limited in comparison with continuum models by several restrictive assumptions and very often only applicable to special problems. In this paper, the focus lies on approaches based on the mixture theory which incorporate chemical reactions. Different strategies to describe the chemical potential for mixtures are presented, and different opinions about the exploitation of the second law of thermodynamics for mixtures are put forward. Finally, several works of different types including chemical reactions in porous media are summarized.

From mixture theory to biot’s approach for porous media

1998 ◽  
Vol 35 (34-35) ◽  
pp. 4619-4635 ◽  
Author(s):  
Olivier Coussy ◽  
Luc Dormieux ◽  
Emmanuel Detournay
Keyword(s):  
Porous Media ◽  
Mixture Theory

scholarly journals An Experimental Measurement of the Permeability of Deformable Porous Media

1986 ◽  
Vol 85 ◽  
Author(s):  
A. Ambari ◽  
B. Gauthier-Manuel ◽  
E. Guyon
Keyword(s):  
Porous Media ◽  
Pore Structure ◽  
Experimental Measurement ◽  
Sol Gel ◽  
Main Difficulty ◽  
Present Measurement ◽  
Deformable Porous Media ◽  
Sol Gel Transition ◽  
Differential Permeability ◽  
Gel Transition

ABSTRACTKnowledge of the evolution of the permeability of cement throughout the course of hydration provides a suitable means to evaluate the evolution of the pore structure. The main difficulty is to measure permeability without disturbing the tenuous structure of the material at the beginning of the hydration. We have developed a differential permeability technique in which the applied flow is sufficiently weak that the structure of the medium is not disturbed. As an example of application of this technique we present measurement of the evolution of the critical permeability during a sol-gel transition.

Modelling Turbulent Flow in Deformable Highly Porous Seabed and Structures

2018 ◽  
Author(s):  
Hisham Elsafti ◽  
Hocine Oumeraci
Keyword(s):  
Porous Media ◽  
Transient Flow ◽  
Stokes Equations ◽  
Pore Fluid ◽  
Navier Stokes ◽  
Model Parameters ◽  
Navier Stokes Equations ◽  
Deformable Porous Media ◽  
Physical Experiments ◽  
Fluid Coupling

In this study, the fully-coupled and fully-dynamic Biot governing equations in the open-source geotechFoam solver are extended to account for pore fluid viscous stresses. Additionally, turbulent pore fluid flow in deformable porous media is modeled by means of the conventional eddy viscosity concept without the need to resolve all turbulence scales. A new approach is presented to account for porous media resistance to flow (solid-to-fluid coupling) by means of an effective viscosity, which accounts for tortuosity, grain shape and local turbulences induced by flow through porous media. The new model is compared to an implemented extended Darcy-Forchheimer model in the Navier-Stokes equations, which accounts for laminar, transitional, turbulent and transient flow regimes. Further, to account for skeleton deformation, the porosity and other model parameters are updated with regard to strain of geomaterials. The presented model is calibrated by means of available results of physical experiments of unidirectional and oscillatory flows.

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