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 - <p style="text-align: justify;">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.</p>