Analytical solutions for transport in porous media with Gaussian source terms

2001 ◽  
Vol 37 (3) ◽  
pp. 843-848 ◽  
Author(s):  
Douglas D. Walker ◽  
Janis E. White
Keyword(s):  
Porous Media ◽  
Analytical Solutions ◽  
Source Terms ◽  
Transport In Porous Media ◽  
Gaussian Source

scholarly journals Analytical solutions of polymer transport in porous media under magnetic effect

2020 ◽  
Vol 75 ◽  
pp. 46 ◽  
Author(s):  
Mohamed F. El-Amin
Keyword(s):  
Porous Media ◽  
Analytical Solutions ◽  
Polymer Concentration ◽  
Nonlinear Function ◽  
Solution Concentration ◽  
Magnetic Effect ◽  
Transport In Porous Media ◽  
Polymer Transport ◽  
The Mathematical Model ◽  
The Magnetic Field

The analytical solution is helpful for understanding the mechanism and physical impacts and validating a numerical method through the model issue. This paper is devoted to developing analytical solutions for the problem of magnetic polymer transport in porous media. The mathematical model has been firstly developed then the analytical solutions have been obtained. The magnetization is treated as a nonlinear function of the magnetic field strength. The effects of the parameters of magnetic/polymer/rock on the polymer concentration, pressure and velocity have been investigated. It was found that the magnetization enhances velocity and concentration; and has a significant effect on concentration for high permeabilities. Also, it was found that for high permeabilities the advection dominates, but for lower permeabilities the diffusion dominates. As the adsorption rate increases the polymer solution concentration decreases.

Modeling Microbial Transport in Porous Media

1988 ◽  
Vol 20 (11-12) ◽  
pp. 509-511 ◽  
Author(s):  
A. B. Cunningham ◽  
D. J. Crawford ◽  
W. G. Characklis
Keyword(s):  
Porous Media ◽  
Microbial Transport ◽  
Transport In Porous Media
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