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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 Publication CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES ISSN 1526-1492 Volume 119Issue:1Pages:145-163 Abstract The 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. Keyword Fracture simulation discrete fracture model multiscale hybrid finite element mixed formulation DOI 10.32604/cmes.2019.04812 Language 英语 Funding Project National 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 Area Engineering ; Mathematics WOS Subject Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications WOS ID WOS:000465501300008 Publisher TECH SCIENCE PRESS Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/34669 Collection 计算数学与科学工程计算研究所 Corresponding Author Zhang, Chen-Song Affiliation 1.Univ Estadual Campinas, FEC, Campinas, SP, Brazil2.Tracy Energy Technol, Beijing, Peoples R China3.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, Beijing, Peoples R China4.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing, Peoples R China Recommended CitationGB/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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