Print Email Facebook Twitter Flow in porous media with low dimensional fractures by employing enriched Galerkin method Title Flow in porous media with low dimensional fractures by employing enriched Galerkin method Author Kadeethum, T. (Center of Electron Nanoscopy) Nick, H.M. (TU Delft Reservoir Engineering; Center of Electron Nanoscopy) Lee, S. (Florida State University) Ballarin, F. (SISSA) Date 2020 Abstract This paper presents the enriched Galerkin discretization for modeling fluid flow in fractured porous media using the mixed-dimensional approach. The proposed method has been tested against published benchmarks. Since fracture and porous media discontinuities can significantly influence single- and multi-phase fluid flow, the heterogeneous and anisotropic matrix permeability setting is utilized to assess the enriched Galerkin performance in handling the discontinuity within the matrix domain and between the matrix and fracture domains. Our results illustrate that the enriched Galerkin method has the same advantages as the discontinuous Galerkin method; for example, it conserves local and global fluid mass, captures the pressure discontinuity, and provides the optimal error convergence rate. However, the enriched Galerkin method requires much fewer degrees of freedom than the discontinuous Galerkin method in its classical form. The pressure solutions produced by both methods are similar regardless of the conductive or non-conductive fractures or heterogeneity in matrix permeability. This analysis shows that the enriched Galerkin scheme reduces the computational costs while offering the same accuracy as the discontinuous Galerkin so that it can be applied for large-scale flow problems. Furthermore, the results of a time-dependent problem for a three-dimensional geometry reveal the value of correctly capturing the discontinuities as barriers or highly-conductive fractures. Subject Enriched GalerkinFinite element methodFractured porous mediaHeterogeneityLocal mass conservativeMixed-dimensional To reference this document use: http://resolver.tudelft.nl/uuid:c6391a74-d7a8-4869-86d1-eb5e5088f784 DOI https://doi.org/10.1016/j.advwatres.2020.103620 ISSN 0309-1708 Source Advances in Water Resources, 142 Part of collection Institutional Repository Document type journal article Rights © 2020 T. Kadeethum, H.M. Nick, S. Lee, F. Ballarin Files PDF 1_s2.0_S0309170819312576_main.pdf 8.72 MB Close viewer /islandora/object/uuid:c6391a74-d7a8-4869-86d1-eb5e5088f784/datastream/OBJ/view