scholarly journals Mathematical modeling of anomalous diffusion in porous media

2011 ◽  
pp. 1-28 ◽  
Author(s):  
Sergei Fomin ◽  
Vladimir Chugunov ◽  
Toshiyuki Hashida
Keyword(s):  
Mathematical Modeling ◽  
Porous Media ◽  
Anomalous 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

Mathematical modeling of the simultaneous convection–anomalous diffusion processes in porous media

2017 ◽  
Vol 35 (8) ◽  
pp. 994-998 ◽  
Author(s):  
Cs. Mészáros ◽  
I. Farkas ◽  
K. Gottschalk ◽  
Á. Bálint
Keyword(s):  
Mathematical Modeling ◽  
Porous Media ◽  
Anomalous Diffusion ◽  
Diffusion Processes

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.

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