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Volume 5, Issue 5
Homogenization of Secondary-Flux Models of Partially Fissured Media

M. A. Peter & R. E. Showalter

Int. J. Numer. Anal. Mod., 5 (2008), pp. 150-156.

Published online: 2018-11

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  • 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.

  • Keywords

secondary-flux, partially fissured porous media, homogenization, multiscale flow and transport.

  • AMS Subject Headings

76S05, 35B27, 74Q15, 35R10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-150, author = {Peter , M. A. and Showalter , R. E.}, title = {Homogenization of Secondary-Flux Models of Partially Fissured Media}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {5}, number = {5}, pages = {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.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/845.html} }
TY - JOUR T1 - Homogenization of Secondary-Flux Models of Partially Fissured Media AU - Peter , M. A. AU - Showalter , R. E. JO - International Journal of Numerical Analysis and Modeling VL - 5 SP - 150 EP - 156 PY - 2018 DA - 2018/11 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/845.html KW - secondary-flux, partially fissured porous media, homogenization, multiscale flow and transport. AB -

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.

Peter , M. A. and Showalter , R. E.. (2018). Homogenization of Secondary-Flux Models of Partially Fissured Media. International Journal of Numerical Analysis and Modeling. 5 (5). 150-156. doi:
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