We consider the infiltration of a wetting fluid into a homogeneous porous medium and the formation of preferential flow paths with saturation overshoots. These are caused by dynamic capillary pressure effects which can be modeled by the rate-dependent approach of Hassanizadeh and Gray. To track the overshoot wave numerically, we propose an extended Heterogeneous Multiscale Method. In the approach, the rate-dependent model takes the role of a microscale model. The algorithm is applied to several infiltration problems.
%0 Journal Article
%1 doi:10.2136/vzj2011.0193
%A Kissling, Frederike
%A Helmig, Rainer
%A Rohde, Christian
%D 2012
%J Vadose Zone Journal
%K dumuxarticle
%N 3
%P vzj2011.0193
%R 10.2136/vzj2011.0193
%T Simulation of Infiltration Processes in the Unsaturated Zone Using a Multiscale Approach
%U https://acsess.onlinelibrary.wiley.com/doi/abs/10.2136/vzj2011.0193
%V 11
%X We consider the infiltration of a wetting fluid into a homogeneous porous medium and the formation of preferential flow paths with saturation overshoots. These are caused by dynamic capillary pressure effects which can be modeled by the rate-dependent approach of Hassanizadeh and Gray. To track the overshoot wave numerically, we propose an extended Heterogeneous Multiscale Method. In the approach, the rate-dependent model takes the role of a microscale model. The algorithm is applied to several infiltration problems.
@article{doi:10.2136/vzj2011.0193,
abstract = {We consider the infiltration of a wetting fluid into a homogeneous porous medium and the formation of preferential flow paths with saturation overshoots. These are caused by dynamic capillary pressure effects which can be modeled by the rate-dependent approach of Hassanizadeh and Gray. To track the overshoot wave numerically, we propose an extended Heterogeneous Multiscale Method. In the approach, the rate-dependent model takes the role of a microscale model. The algorithm is applied to several infiltration problems.},
added-at = {2020-07-13T14:28:54.000+0200},
author = {Kissling, Frederike and Helmig, Rainer and Rohde, Christian},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/227162d5c69f1afd15bd34a4bdc29c218/berndflemisch},
doi = {10.2136/vzj2011.0193},
eprint = {https://acsess.onlinelibrary.wiley.com/doi/pdf/10.2136/vzj2011.0193},
interhash = {f110c6b1a27c3815ffb72c6cf74270da},
intrahash = {27162d5c69f1afd15bd34a4bdc29c218},
journal = {Vadose Zone Journal},
keywords = {dumuxarticle},
number = 3,
pages = {vzj2011.0193},
timestamp = {2020-07-13T12:28:54.000+0200},
title = {Simulation of Infiltration Processes in the Unsaturated Zone Using a Multiscale Approach},
url = {https://acsess.onlinelibrary.wiley.com/doi/abs/10.2136/vzj2011.0193},
volume = 11,
year = 2012
}
