scholarly journals Geometric Multigrid for Darcy and Brinkman models of flows in highly heterogeneous porous media: A numerical study

2017 ◽  
Vol 310 ◽  
pp. 174-185 ◽  
Author(s):  
Guido Kanschat ◽  
Raytcho Lazarov ◽  
Youli Mao
Keyword(s):  
Porous Media ◽  
Numerical Study ◽  
Heterogeneous Porous Media ◽  
Geometric Multigrid

Numerical Study of Density-Driven Convection in Laminated Heterogeneous Porous Media

2020 ◽  
Vol 36 (5) ◽  
pp. 665-673 ◽  
Author(s):  
Qian Li ◽  
Wei Hua Cai ◽  
Bing Xi Li ◽  
Ching-Yao Chen
Keyword(s):  
Porous Media ◽  
Numerical Study ◽  
Heterogeneous Porous Media ◽  
Convection Flow ◽  
Order Of Accuracy ◽  
Compact Finite Difference Scheme ◽  
Pseudo Spectral Method ◽  
Laminated Structures ◽  
Pseudo Spectral ◽  
Permeability Field

ABSTRACTIn the present study, we use direct numerical simulation to investigate the density-driven convection in a two-dimensional anisotropic heterogeneous porous media associated with significant laminated formation. At first, the heterogeneous porous media are randomly generated to represent laminated structure, in which the horizontal correlation length of permeability field is much longer than the vertical counterpart. Then, a highly accurate pseudo-spectral method and compact finite difference scheme with higher order of accuracy are employed to numerically reproduce the convection flow in the laminated porous media. The results show that the laminated structures restrict interactions among the downward plumes of heavier fluid. The plumes tend to descend more straightly in a laminated porous medium associated with a slower growth rate. As a result, the laminated distribution of permeability is considered having an inhibiting effect on the convection flow.

Density-dependent dispersion in heterogeneous porous media Part I: A numerical study

2007 ◽  
Vol 30 (12) ◽  
pp. 2467-2480 ◽  
Author(s):  
Anke Jannie Landman ◽  
K. Johannsen ◽  
Ruud Schotting
Keyword(s):  
Porous Media ◽  
Numerical Study ◽  
Heterogeneous Porous Media ◽  
Density Dependent
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