We present a novel model for fluid-driven fracture
propagation in poro-elastic media. Our approach combines ideas from
dimensionally reduced discrete fracture models with diffuse phase-field
models. The main advantage of this combined approach is that the
fracture geometry is always represented explicitly, while the
propagation remains geometrically flexible. We prove that our model is
thermodynamically consistent. In order to solve our model numerically,
we propose a mixed-dimensional discontinuous Galerkin scheme with a
computational grid fully conforming to the fractures. As the fracture
propagates, the diffuse phase-field acts as indicator to identify new
fracture facets to be added to the discrete fracture network. Numerical
experiments demonstrate that our approach reproduces classical scenarios
for fracturing porous media
%0 Journal Article
%1 rohde2023modeling
%A Burbulla, Samuel
%A Formaggia, Luca
%A Rohde, Christian
%A Scotti, Anna
%D 2023
%J Comput. Methods Appl. Mech. Engrg.
%K from:brittalenz am vorlaeufig ians
%R https://doi.org/10.1016/j.cma.2022.115699
%T Modeling fracture propagation in poro-elastic media combining phase-field and discrete fracture models
%U https://www.sciencedirect.com/science/article/pii/S0045782522006545
%V 403
%X We present a novel model for fluid-driven fracture
propagation in poro-elastic media. Our approach combines ideas from
dimensionally reduced discrete fracture models with diffuse phase-field
models. The main advantage of this combined approach is that the
fracture geometry is always represented explicitly, while the
propagation remains geometrically flexible. We prove that our model is
thermodynamically consistent. In order to solve our model numerically,
we propose a mixed-dimensional discontinuous Galerkin scheme with a
computational grid fully conforming to the fractures. As the fracture
propagates, the diffuse phase-field acts as indicator to identify new
fracture facets to be added to the discrete fracture network. Numerical
experiments demonstrate that our approach reproduces classical scenarios
for fracturing porous media
@article{rohde2023modeling,
abstract = {We present a novel model for fluid-driven fracture
propagation in poro-elastic media. Our approach combines ideas from
dimensionally reduced discrete fracture models with diffuse phase-field
models. The main advantage of this combined approach is that the
fracture geometry is always represented explicitly, while the
propagation remains geometrically flexible. We prove that our model is
thermodynamically consistent. In order to solve our model numerically,
we propose a mixed-dimensional discontinuous Galerkin scheme with a
computational grid fully conforming to the fractures. As the fracture
propagates, the diffuse phase-field acts as indicator to identify new
fracture facets to be added to the discrete fracture network. Numerical
experiments demonstrate that our approach reproduces classical scenarios
for fracturing porous media},
added-at = {2022-11-10T12:06:54.000+0100},
author = {Burbulla, Samuel and Formaggia, Luca and Rohde, Christian and Scotti, Anna},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2d93a782287eaa526d1b5dd772b997ec8/mathematik},
doi = {https://doi.org/10.1016/j.cma.2022.115699},
interhash = {d9c80ef5df429b35ff12560ff16067d2},
intrahash = {d93a782287eaa526d1b5dd772b997ec8},
issn = {0045-7825},
journal = {Comput. Methods Appl. Mech. Engrg.},
keywords = {from:brittalenz am vorlaeufig ians},
timestamp = {2023-03-03T09:05:15.000+0100},
title = {Modeling fracture propagation in poro-elastic media combining phase-field and discrete fracture models},
url = {https://www.sciencedirect.com/science/article/pii/S0045782522006545},
volume = 403,
year = 2023
}