scholarly journals Advection–Diffusion in Porous Media with Low Scale Separation: Modelling via Higher-Order Asymptotic Homogenisation

2019 ◽  
Vol 128 (2) ◽  
pp. 511-551
Author(s):  
Pascale Royer
Keyword(s):  
Porous Media ◽  
Higher Order ◽  
Scale Separation ◽  
Advection Diffusion ◽  
Diffusion In Porous Media

scholarly journals Anomalous diffusion in porous media

2016 ◽  
Vol 40 (3) ◽  
pp. 1850-1862 ◽  
Author(s):  
J.A. Ferreira ◽  
G. Pena ◽  
G. Romanazzi
Keyword(s):  
Porous Media ◽  
Anomalous Diffusion ◽  
Diffusion In Porous Media

Numerical Analysis of Thermal-Solutal Convection in Heterogeneous Porous Media

2005 ◽  
Vol 73 (1) ◽  
pp. 21-25 ◽  
Author(s):  
Charles-Guobing Jiang ◽  
M. Ziad Saghir ◽  
M. Kawaji
Keyword(s):  
Porous Media ◽  
Thermal Diffusion ◽  
Soret Effect ◽  
Heterogeneous Porous Media ◽  
Soret Coefficient ◽  
Solutal Convection ◽  
Coefficient Distribution ◽  
Separation Ratio ◽  
Diffusion In Porous Media ◽  
Vertical Cavity

Thermal diffusion, or Soret effect, in porous media is mathematically modeled with the Firoozabadi model based on non-equilibrium thermodynamics. The Soret effect in a binary mixture is investigated in a vertical cavity with heterogeneous permeability, where natural convection can occur. The thermo solutal convection with heterogeneous permeability was studied in terms of flow pattern, concentration distribution, component separation ratio, and Soret coefficient distribution. A consistent analysis was conducted and it is concluded that the Soret coefficient of thermal diffusion in porous media strongly depends on the heterogeneity of permeability.

Combined surface and pore volume diffusion in porous media

AIChE Journal ◽  
1988 ◽  
Vol 34 (7) ◽  
pp. 1094-1105 ◽  
Author(s):  
S. K. Bhatia
Keyword(s):  
Porous Media ◽  
Pore Volume ◽  
Volume Diffusion ◽  
Diffusion In Porous Media

Homogenization Analysis of Diffusion in Porous Media

2011 ◽  
pp. 241-266
Author(s):  
Yasuaki Ichikawa ◽  
A. P. S. Selvadurai
Keyword(s):  
Porous Media ◽  
Diffusion In Porous Media

scholarly journals Experimental and theoretical memory diffusion of water in sand

2006 ◽  
Vol 10 (1) ◽  
pp. 93-100 ◽  
Author(s):  
G. Iaffaldano ◽  
M. Caputo ◽  
S. Martino
Keyword(s):  
Porous Media ◽  
Laboratory Experiments ◽  
Solid Particles ◽  
Memory Model ◽  
Flux Rate ◽  
Permeability Changes ◽  
Xixth Century ◽  
Diffusion In Porous Media ◽  
Basic Equations ◽  
Fluid Diffusion

Abstract. The basic equations used to study the fluid diffusion in porous media have been set by Fick and Darcy in the mid of the XIXth century but some data on the flow of fluids in rocks exhibit properties which may not be interpreted with the classical theory of propagation of pressure and fluids in porous media (Bell and Nur, 1978; Roeloffs, 1988). Concerning the fluids and the flow, some fluids carry solid particles which may obstruct some of the pores diminishing their size or even closing them, some others may chemically and physically react with the medium enlarging the pores; so permeability changes during time and the flow occurs as if the medium had a memory. In this paper we show with experimental data that the permeability of sand layers may decrease due to rearrangement of the grains and consequent compaction, as already shown qualitatively by Elias and Hajash (1992). We also provide a memory model for diffusion of fluids in porous media which fits well the flux rate observed in five laboratory experiments of diffusion of water in sand. Finally we show that the flux rate variations observed during the experiments are compatible with the compaction of sand, due to the amount of fluid which went through the grains locally, and therefore with the reduction of porosity.

Toward Application of Higher Order Finite Volume Schemes to Porous Media Flow

2013 ◽  
Author(s):  
Rohan Panchadhara ◽  
Laurent White ◽  
Dimitar Trenev
Keyword(s):  
Porous Media ◽  
Finite Volume ◽  
Higher Order ◽  
Porous Media Flow ◽  
Finite Volume Schemes
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