In many natural and technical applications in porous media fluid's flow behavior is highly affected by fractures. Many approaches employ mixed-dimensional models that model thin features as dimension-reduced manifolds. Following this idea, we consider porous media where dominant heterogeneities are geometrically represented by sharp interfaces. We model incompressible two-phase flow in porous media both in the bulk porous medium and within the fractures. We present a reliable and geometrically flexible implementation of a fully conforming finite volume approach within the DUNE framework for two and three spatial dimensions. The implementation is based on the new dune-mmesh grid implementation that manages bulk and surface triangulation simultaneously. The model and the implementation are extended to handle fracture junctions. We apply our scheme to benchmark cases with complex fracture networks to show the reliability of the approach.
%0 Conference Paper
%1 Burbulla2020
%A Burbulla, Samuel
%A Rohde, Christian
%B Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples
%C Cham
%D 2020
%E Klöfkorn, Robert
%E Keilegavlen, Eirik
%E Radu, Florin A.
%E Fuhrmann, Jürgen
%I Springer International Publishing
%K ians imported vorlaeufig
%P 547-555
%R https://doi.org/10.1007/978-3-030-43651-3_51
%T A fully conforming finite volume approach to two-phase flow in fractured porous media
%U https://link.springer.com/chapter/10.1007%2F978-3-030-43651-3_51
%X In many natural and technical applications in porous media fluid's flow behavior is highly affected by fractures. Many approaches employ mixed-dimensional models that model thin features as dimension-reduced manifolds. Following this idea, we consider porous media where dominant heterogeneities are geometrically represented by sharp interfaces. We model incompressible two-phase flow in porous media both in the bulk porous medium and within the fractures. We present a reliable and geometrically flexible implementation of a fully conforming finite volume approach within the DUNE framework for two and three spatial dimensions. The implementation is based on the new dune-mmesh grid implementation that manages bulk and surface triangulation simultaneously. The model and the implementation are extended to handle fracture junctions. We apply our scheme to benchmark cases with complex fracture networks to show the reliability of the approach.
@inproceedings{Burbulla2020,
abstract = {In many natural and technical applications in porous media fluid's flow behavior is highly affected by fractures. Many approaches employ mixed-dimensional models that model thin features as dimension-reduced manifolds. Following this idea, we consider porous media where dominant heterogeneities are geometrically represented by sharp interfaces. We model incompressible two-phase flow in porous media both in the bulk porous medium and within the fractures. We present a reliable and geometrically flexible implementation of a fully conforming finite volume approach within the DUNE framework for two and three spatial dimensions. The implementation is based on the new dune-mmesh grid implementation that manages bulk and surface triangulation simultaneously. The model and the implementation are extended to handle fracture junctions. We apply our scheme to benchmark cases with complex fracture networks to show the reliability of the approach.},
added-at = {2020-06-15T14:04:01.000+0200},
address = {Cham},
author = {Burbulla, Samuel and Rohde, Christian},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/26295baaa370e6e107895e5bcc444ec6c/mathematik},
booktitle = {Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples},
doi = {https://doi.org/10.1007/978-3-030-43651-3_51},
editor = {Klöfkorn, Robert and Keilegavlen, Eirik and Radu, Florin A. and Fuhrmann, Jürgen},
interhash = {ad7fca2224d427fbdec02ef5227f3853},
intrahash = {6295baaa370e6e107895e5bcc444ec6c},
keywords = {ians imported vorlaeufig},
pages = {547-555},
publisher = {Springer International Publishing},
timestamp = {2020-07-13T08:43:07.000+0200},
title = {A fully conforming finite volume approach to two-phase flow in fractured porous media},
url = {https://link.springer.com/chapter/10.1007%2F978-3-030-43651-3_51},
year = 2020
}
