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DOI | 10.1002/2016WR019644 |
Adaptive implicit finite element methods for multicomponent compressible flow in heterogeneous and fractured porous media | |
Moortgat, Joachim | |
2017 | |
发表期刊 | WATER RESOURCES RESEARCH |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2017 |
卷号 | 53期号:1 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | This work presents adaptive implicit first-order and second-order discontinuous Galerkin (DG) methods for the transport of multicomponent compressible fluids in heterogeneous and fractured porous media, discretized by triangular, quadrilateral, and hexahedral grids. The adaptive implicit method (AIM) combines the advantages of purely explicit or implicit methods (in time). In grid cells with high fluxes or low pore volumes, the transport update is done implicitly to alleviate the Courant-Friedrichs-Lewy (CFL) time step constraints of the conditionally stable explicit approach. Grid cells with a large CFL condition are updated explicitly. Combined, this allows higher efficiency than explicit methods, but it reduces the "penalty" of implicit methods, which exhibit high numerical dispersion and are more computationally and storage expensive per time step. The advantages of AIM are modest for uniform grids and rock properties. However, in heterogeneous or fractured reservoirs explicit methods may become impractical, while a fully implicit approach introduces unnecessary numerical dispersion and is overkill for low-permeability layers and matrix blocks. In such applications, AIM is shown to be significantly more efficient and accurate. The division between explicit and implicit grid cells is made adaptively in space and time. This allows for a high level of explicitness and can also adapt to high fluxes caused by, e.g., viscous and gravitational flow instabilities. Numerical examples demonstrate the powerful features of AIM to model, e.g., solute transport, carbon sequestration in saline aquifers, and miscible gas injection in fractured oil and gas reservoirs. |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000394911200005 |
WOS关键词 | EFFICIENT NUMERICAL-MODEL ; EQUATION-OF-STATE ; DISCONTINUOUS-GALERKIN ; RESERVOIR SIMULATION ; MULTIPHASE FLOW ; COMPOSITIONAL MODEL ; PERMEABLE MEDIA ; 2-PHASE FLOW ; MIXED-HYBRID ; CAPILLARITY |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/21878 |
专题 | 资源环境科学 |
作者单位 | Ohio State Univ, Sch Earth Sci, Columbus, OH 43210 USA |
推荐引用方式 GB/T 7714 | Moortgat, Joachim. Adaptive implicit finite element methods for multicomponent compressible flow in heterogeneous and fractured porous media[J]. WATER RESOURCES RESEARCH,2017,53(1). |
APA | Moortgat, Joachim.(2017).Adaptive implicit finite element methods for multicomponent compressible flow in heterogeneous and fractured porous media.WATER RESOURCES RESEARCH,53(1). |
MLA | Moortgat, Joachim."Adaptive implicit finite element methods for multicomponent compressible flow in heterogeneous and fractured porous media".WATER RESOURCES RESEARCH 53.1(2017). |
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