Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1029/2018WR023583 |
A 3-D Semianalytical Solution for Density-Driven Flow in Porous Media | |
Shao, Qian1; Fahs, Marwan2; Hoteit, Hussein3; Carrera, Jesus4; Ackerer, Philippe2; Younes, Anis2,5,6 | |
2018-12-01 | |
发表期刊 | WATER RESOURCES RESEARCH
![]() |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2018 |
卷号 | 54期号:12页码:10094-10116 |
文章类型 | Article |
语种 | 英语 |
国家 | Peoples R China; France; Saudi Arabia; Spain; Tunisia |
英文摘要 | Existing analytical and semianalytical solutions for density-driven flow (DDF) in porous media are limited to 2-D domains. In this work, we develop a semianalytical solution using the Fourier Galerkin method to describe DDF induced by salinity gradients in a 3-D porous enclosure. The solution is constructed by deriving the vector potential form of the governing equations and changing variables to obtain periodic boundary conditions. Solving the 3-D spectral system of equations can be computationally challenging. To alleviate computations, we develop an efficient approach, based on reducing the number of primary unknowns and simplifying the nonlinear terms, which allows us to simplify and solve the problem using only salt concentration as primary unknown. Test cases dealing with different Rayleigh numbers are solved to analyze the solution and gain physical insight into 3-D DDF processes. In fact, the solution displays a 3-D convective cell (actually a vortex) that resembles the quarter of a torus, which would not be possible in 2-D. Results also show that 3-D effects become more important at high Rayleigh number. We compare the semianalytical solution to research (Transport of RadioACtive Elements in Subsurface) and industrial (COMSOL Multiphysics (R)) codes. We show cases (high Raleigh number) where the numerical solution suffers from numerical artifacts, which highlight the worthiness of our semianalytical solution for code verification and benchmarking. In this context, we propose quantitative indicators based on several metrics characterizing the fluid flow and mass transfer processes and we provide open access to the source code of the semianalytical solution and to the corresponding numerical models. |
英文关键词 | density-driven flow 3-D analytical solution Rayleigh number Fourier series solution benchmarking COMSOL Multiphysics |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000456949300005 |
WOS关键词 | DOUBLE-DIFFUSIVE CONVECTION ; DISCONTINUOUS GALERKIN METHODS ; NATURAL-CONVECTION ; NUMERICAL-SIMULATION ; GROUNDWATER-FLOW ; BENCHMARK ; DISPERSION ; TRANSPORT ; IMPACT ; MANAGEMENT |
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/20112 |
专题 | 资源环境科学 |
作者单位 | 1.Wuhan Univ, Sch Civil Engn, Wuhan, Hubei, Peoples R China; 2.Univ Strasbourg, EOST, ENGEES, Lab Hydrol & Geochem Strasbourg, Strasbourg, France; 3.King Abdullah Univ Sci & Technol, Phys Sci & Engn Div, Thuwal, Saudi Arabia; 4.CSIC, Inst Environm Assessment & Water Res IDAEA, Barcelona, Spain; 5.IRD UMR LISAH, Montpellier, France; 6.Ecole Natl Ingenieurs Tunis, Lab Modelisat Hydraul & Environm, Tunis, Tunisia |
推荐引用方式 GB/T 7714 | Shao, Qian,Fahs, Marwan,Hoteit, Hussein,et al. A 3-D Semianalytical Solution for Density-Driven Flow in Porous Media[J]. WATER RESOURCES RESEARCH,2018,54(12):10094-10116. |
APA | Shao, Qian,Fahs, Marwan,Hoteit, Hussein,Carrera, Jesus,Ackerer, Philippe,&Younes, Anis.(2018).A 3-D Semianalytical Solution for Density-Driven Flow in Porous Media.WATER RESOURCES RESEARCH,54(12),10094-10116. |
MLA | Shao, Qian,et al."A 3-D Semianalytical Solution for Density-Driven Flow in Porous Media".WATER RESOURCES RESEARCH 54.12(2018):10094-10116. |
条目包含的文件 | 条目无相关文件。 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论