%0 Journal Article %1 Gläser2019 %A Gläser, Dennis %A Flemisch, Bernd %A Helmig, Rainer %A Class, Holger %D 2019 %J GEM - International Journal on Geomathematics %K EXC310 curated %N 1 %P 5 %R 10.1007/s13137-019-0116-8 %T A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media %U https://doi.org/10.1007/s13137-019-0116-8 %V 10 %X We present a hybrid-dimensional numerical model for non-isothermal two-phase flow in fractured porous media, in which the fractures are modeled as entities of codimension one embedded in a bulk domain. Potential fields of applications of the model could be radioactive waste disposal or geothermal energy production scenarios in which a two-phase flow regime develops or where \$\$\backslashhbox \CO\\_2\$\$CO2 is used as working fluid. We test the method on synthetic test cases involving compressible fluids and strongly heterogeneous, full tensor permeability fields by comparison with a reference solution obtained from an equi-dimensional discretization of the domain. The results reveal that especially for the case of a highly conductive fracture, the results are in good agreement with the reference. While the model qualitatively captures the involved phenomena also for the case of a fracture acting as both hydraulic and capillary barrier, it introduces larger errors than in the highly-conductive fracture case, which can be attributed to the lower-dimensional treatment of the fracture. Finally, we apply the method to a three-dimensional showcase that resembles setups for the determination of upscaled parameters of fractured blocks.

@article{Gläser2019, abstract = {We present a hybrid-dimensional numerical model for non-isothermal two-phase flow in fractured porous media, in which the fractures are modeled as entities of codimension one embedded in a bulk domain. Potential fields of applications of the model could be radioactive waste disposal or geothermal energy production scenarios in which a two-phase flow regime develops or where {\$}{\$}{\backslash}hbox {\{}CO{\}}{\_}2{\$}{\$}CO2 is used as working fluid. We test the method on synthetic test cases involving compressible fluids and strongly heterogeneous, full tensor permeability fields by comparison with a reference solution obtained from an equi-dimensional discretization of the domain. The results reveal that especially for the case of a highly conductive fracture, the results are in good agreement with the reference. While the model qualitatively captures the involved phenomena also for the case of a fracture acting as both hydraulic and capillary barrier, it introduces larger errors than in the highly-conductive fracture case, which can be attributed to the lower-dimensional treatment of the fracture. Finally, we apply the method to a three-dimensional showcase that resembles setups for the determination of upscaled parameters of fractured blocks.}, added-at = {2024-01-11T14:33:25.000+0100}, author = {Gl{\"a}ser, Dennis and Flemisch, Bernd and Helmig, Rainer and Class, Holger}, biburl = {https://puma.ub.uni-stuttgart.de/bibtex/281aad64dc4fcc88c01fe3ed45ee35e5b/simtech}, doi = {10.1007/s13137-019-0116-8}, interhash = {22bb30de71121b6eb024eb372bf8c894}, intrahash = {81aad64dc4fcc88c01fe3ed45ee35e5b}, issn = {1869-2680}, journal = {GEM - International Journal on Geomathematics}, keywords = {EXC310 curated}, number = 1, pages = 5, timestamp = {2024-02-26T18:00:29.000+0100}, title = {A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media}, url = {https://doi.org/10.1007/s13137-019-0116-8}, volume = 10, year = 2019 }