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Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media
Devloo, Philippe1; Teng, Wenchao2; Zhang, Chen-Song3,4
2019
Source PublicationCMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN1526-1492
Volume119Issue:1Pages:145-163
AbstractThe multiscale hybrid-mixed (MHM) method is applied to the numerical approximation of two-dimensional matrix fluid flow in porous media with fractures. The two-dimensional fluid flow in the reservoir and the one-dimensional flow in the discrete fractures are approximated using mixed finite elements. The coupling of the two-dimensional matrix flow with the one-dimensional fracture flow is enforced using the pressure of the one-dimensional flow as a Lagrange multiplier to express the conservation of fluid transfer between the fracture flow and the divergence of the one-dimensional fracture flux. A zero-dimensional pressure (point element) is used to express conservation of mass where fractures intersect. The issuing simulation is then reduced using the MHM method leading to accurate results with a very reduced number of global equations. A general system was developed where fracture geometries and conductivities are specified in an input file and meshes are generated using the public domain mesh generator GMsh. Several test cases illustrate the effectiveness of the proposed approach by comparing the multiscale results with direct simulations.
KeywordFracture simulation discrete fracture model multiscale hybrid finite element mixed formulation
DOI10.32604/cmes.2019.04812
Language英语
Funding ProjectNational Key Research and Development Program of China[2016YFB0201304] ; Key Research Program of Frontier Sciences of CAS ; CNPq-the Brazilian Research Council[305823/2017-5]
WOS Research AreaEngineering ; Mathematics
WOS SubjectEngineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000465501300008
PublisherTECH SCIENCE PRESS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34669
Collection计算数学与科学工程计算研究所
Corresponding AuthorZhang, Chen-Song
Affiliation1.Univ Estadual Campinas, FEC, Campinas, SP, Brazil
2.Tracy Energy Technol, Beijing, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Devloo, Philippe,Teng, Wenchao,Zhang, Chen-Song. Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2019,119(1):145-163.
APA Devloo, Philippe,Teng, Wenchao,&Zhang, Chen-Song.(2019).Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,119(1),145-163.
MLA Devloo, Philippe,et al."Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 119.1(2019):145-163.
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