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Wave simulation for the poroelastic wave equations by the multiscale method
Zhang WenSheng1; Zheng Hui1,2
2019-06-01
发表期刊CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
ISSN0001-5733
卷号62期号:6页码:2176-2187
摘要In this paper, a multiscale method of wave simulation for solving two-dimensional poroelastic wave equations numerically is developed. The multiscale method allows us to apply coarser grids in computations while the information of physical parameter variations in small scale still can be captured. In this paper, the theoretical method and algorithm of the multiscale method are expounded in detail. The corresponding computational schemes are also derived. The basic idea is to construct two sets of meshes, i. e. , coarse grids and fine grids. The computations for wavefield updating on coarse grids are implemented based on the finite volume method while the multiscale basis functions are computed on fine grids with the finite element method by solving a local problem. Numerical computations with the perfectly matched layer (PML) absorbing boundary conditions are implemented for a poroelastic model with randomly distributed scatterers and the numerical results verify the correctness and effectiveness of the method and algorithm in this paper.
关键词Poroelastic wave equations Inhomogeneous media Wave simulation Multiscale method PML absorbing boundary
DOI10.6038/cjg2019M0021
语种英语
WOS研究方向Geochemistry & Geophysics
WOS类目Geochemistry & Geophysics
WOS记录号WOS:000470821500016
出版者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/34964
专题计算数学与科学工程计算研究所
通讯作者Zhang WenSheng
作者单位1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
2.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
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Zhang WenSheng,Zheng Hui. Wave simulation for the poroelastic wave equations by the multiscale method[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2019,62(6):2176-2187.
APA Zhang WenSheng,&Zheng Hui.(2019).Wave simulation for the poroelastic wave equations by the multiscale method.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,62(6),2176-2187.
MLA Zhang WenSheng,et al."Wave simulation for the poroelastic wave equations by the multiscale method".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 62.6(2019):2176-2187.
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