Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media

doi:10.32604/cmes.2019.04812

	Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media
	Devloo, Philippe 1; Teng, Wenchao 2; Zhang, Chen-Song3,4
	2019
发表期刊	CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN	1526-1492
卷号	119 期号:1 页码:145-163
摘要	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.
关键词	Fracture simulation discrete fracture model multiscale hybrid finite element mixed formulation
DOI	10.32604/cmes.2019.04812
语种	英语
资助项目	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研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000465501300008
出版者	TECH SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34669
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Chen-Song
作者单位	1.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
推荐引用方式 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.