%0 Journal Article %1 burbulla2022flow %A Burbulla, Samuel %A Hörl, Maximilian %A Rohde, Christian %D 2023 %J SIAM J. Sci. Comput %K 390740016 EXC2075 PN1 SFB1313 Simtech am from:brittalenz ians imported updated vorlaeufig %N 4 %P A1519-A1544 %R 10.1137/22M1510406 %T Flow in Porous Media with Fractures of Varying Aperture %U https://doi.org/10.1137/22M1510406 %V 45 %X We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures and porous matrix. We derive a new mixed-dimensional model, where fractures are represented by $(n-1)$-dimensional interfaces between $n$-dimensional subdomains for $n2$. In particular, we suggest a generalization of the model in~22 by accounting for asymmetric fractures with spatially varying aperture. Thus, the new model is particularly convenient for the description of surface roughness or for modeling curvilinear or winding fractures. The wellposedness of the new model is proven under appropriate conditions. Further, we formulate a discontinuous Galerkin discretization of the new model and validate the model by performing two- and three-dimensional numerical experiments.

@article{burbulla2022flow, abstract = {We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures and porous matrix. We derive a new mixed-dimensional model, where fractures are represented by $(n-1)$-dimensional interfaces between $n$-dimensional subdomains for $n\ge 2$. In particular, we suggest a generalization of the model in~[22] by accounting for asymmetric fractures with spatially varying aperture. Thus, the new model is particularly convenient for the description of surface roughness or for modeling curvilinear or winding fractures. The wellposedness of the new model is proven under appropriate conditions. Further, we formulate a discontinuous Galerkin discretization of the new model and validate the model by performing two- and three-dimensional numerical experiments.}, added-at = {2023-02-03T09:24:50.000+0100}, author = {Burbulla, Samuel and Hörl, Maximilian and Rohde, Christian}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/2608038df73e2886cbe5c6681c09be78b/mathematik}, doi = {10.1137/22M1510406}, eprint = {https://doi.org/10.1137/22M1510406}, interhash = {966225b3cd5b5d0838e76b342356e493}, intrahash = {608038df73e2886cbe5c6681c09be78b}, journal = {SIAM J. Sci. Comput}, keywords = {390740016 EXC2075 PN1 SFB1313 Simtech am from:brittalenz ians imported updated vorlaeufig}, number = 4, pages = {A1519-A1544}, timestamp = {2023-10-26T12:01:28.000+0200}, title = {Flow in Porous Media with Fractures of Varying Aperture}, url = {https://doi.org/10.1137/22M1510406}, volume = 45, year = 2023 }