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dc.contributor.authorShao, Qian
dc.contributor.authorFahs, Marwan
dc.contributor.authorHoteit, Hussein
dc.contributor.authorCarrera, Jesus
dc.contributor.authorAckerer, Philippe
dc.contributor.authorYounes, Anis
dc.date.accessioned2019-03-11T07:09:25Z
dc.date.available2019-03-11T07:09:25Z
dc.date.issued2018-12-17
dc.identifier.citationShao Q, Fahs M, Hoteit H, Carrera J, Ackerer P, et al. (2018) A 3-D Semianalytical Solution for Density-Driven Flow in Porous Media. Water Resources Research 54: 10,094–10,116. Available: http://dx.doi.org/10.1029/2018WR023583.
dc.identifier.issn0043-1397
dc.identifier.doi10.1029/2018WR023583
dc.identifier.urihttp://hdl.handle.net/10754/631496
dc.description.abstractExisting 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®) 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.
dc.description.sponsorshipQ. Shao acknowledges the support of the National Natural Science Foundation of China (Grant 11702199) and the Natural Science Foundation of Hubei Province (Grant 2017CFB147). The Editor, Associate Editor, and the three reviewers are thanked for their comments that helped us to improve the paper. The source code for the semianalytical solution (with all necessary input files) as well as the TRACES model are available at https://lhyges.unistra.fr/FAHS-Marwan or by contacting the author directly (fahs@unistra.fr). The COMSOL models are available on the COMSOL application exchange website.
dc.publisherAmerican Geophysical Union (AGU)
dc.relation.urlhttps://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2018WR023583
dc.rightsArchived with thanks to Water Resources Research
dc.subject3-D analytical solution
dc.subjectbenchmarking
dc.subjectCOMSOL Multiphysics
dc.subjectdensity-driven flow
dc.subjectFourier series solution
dc.subjectRayleigh number
dc.titleA 3-D Semianalytical Solution for Density-Driven Flow in Porous Media
dc.typeArticle
dc.contributor.departmentAli I. Al-Naimi Petroleum Engineering Research Center (ANPERC)
dc.contributor.departmentEnergy Resources and Petroleum Engineering
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalWater Resources Research
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionSchool of Civil Engineering; Wuhan University; Wuhan PR China
dc.contributor.institutionLaboratoire d'Hydrologie et Geochemie de Strasbourg; University of Strasbourg/EOST/ENGEES; Strasbourg France
dc.contributor.institutionInstitute of Environmental Assessment and Water Research (IDAEA), CSIC; Barcelona Spain
dc.contributor.institutionLaboratoire de Modélisation en Hydraulique et Environnement; Ecole Nationale d'Ingénieurs de Tunis; Tunis Tunisia
dc.contributor.institutionIRD UMR LISAH; Montpellier France
kaust.personHoteit, Hussein
refterms.dateFOA2019-05-26T00:00:00Z
dc.date.published-online2018-12-17
dc.date.published-print2018-12


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