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| DOI | 10.1016/j.advwatres.2020.103620 |
| Flow in porous media with low dimensional fractures by employing enriched Galerkin method | |
| Kadeethum T.; Nick H.M.; Lee S.; Ballarin F. | |
| 发表日期 | 2020 |
| ISSN | 0309-1708 |
| 卷号 | 142 |
| 英文摘要 | 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. © 2020 |
| 关键词 | Degrees of freedom (mechanics)Flow of fluidsFracturePorous materialsDiscontinuous galerkinDiscontinuous Galerkin methodsFractured porous mediaGalerkin discretizationMulti-phase fluid flowPressure discontinuityThree dimensional geometryTime-dependent problemGalerkin methodsflow modelingfluid flowfractured mediumGalerkin methodmultiphase flowporous medium |
| 语种 | 英语 |
| 来源机构 | Advances in Water Resources |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/131770 |
| 推荐引用方式 GB/T 7714 | Kadeethum T.,Nick H.M.,Lee S.,et al. Flow in porous media with low dimensional fractures by employing enriched Galerkin method[J]. Advances in Water Resources,2020,142. |
| APA | Kadeethum T.,Nick H.M.,Lee S.,&Ballarin F..(2020).Flow in porous media with low dimensional fractures by employing enriched Galerkin method.,142. |
| MLA | Kadeethum T.,et al."Flow in porous media with low dimensional fractures by employing enriched Galerkin method".142(2020). |
| 条目包含的文件 | 条目无相关文件。 | |||||
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