Year: 2008
Author: M. A. Peter, R. E. Showalter
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 5 : pp. 150–156
Abstract
Fully-saturated and partially fissured media, in which supplementary flow and transport arise from direct cell-to-cell diffusion paths, have been described accurately over wide range of scales by discrete secondary-flux models. These models were constructed as an extension of classical double-porosity models for totally fissured media by two-scale modeling considerations. There is some substantial literature on the analysis of continuously distributed secondary-flux models, and the corresponding discrete models have been proven to give efficient and accurate simulations when compared to recently available experimental data. These are particularly effective in the presence of advection. In this note, a summary description is given for the two-scale convergence of the discrete secondary-flux model to the corresponding continuous double-porosity secondary-flux model.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2008-IJNAM-845
International Journal of Numerical Analysis and Modeling, Vol. 5 (2008), Iss. 5 : pp. 150–156
Published online: 2008-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: secondary-flux partially fissured porous media homogenization multiscale flow and transport.