A multiscale method for wave propagation in 3D heterogeneous poroelastic media

doi:10.1190/GEO2018-0482.1

	A multiscale method for wave propagation in 3D heterogeneous poroelastic media
	Zhang, Wensheng1,2 ; Zheng, Hui 1,3
	2019-07-01
发表期刊	GEOPHYSICS
ISSN	0016-8033
卷号	84 期号:4 页码:T237-T257
摘要	A new multiscale method for wave simulation in 3D heterogeneous poroelastic media is developed. Wave propagation in inhomogeneous media involves many different scales of media. The physical parameters in the real media usually vary greatly within a very small scale. For the direct numerical methods for wave simulation, a refined grid is required in mesh generation to maintain the match between the mesh size and the material variations in the spatial scale. This greatly increases the computational cost and computer memory requirements. The multiscale method can overcome this difficulty due to the scale difference. The basic idea of our multiscale method is to construct computational schemes on two sets of meshes, i. e., coarse grids and fine grids. The finite-volume method is applied on the coarse grids, whereas the multiscale basis functions are computed with the finite-element method by solving a local problem on the fine grids. Moreover, the local problem only needs to be solved once before time stepping. This allows us to use a coarse grid while still capturing the information of the physical property variations in the small scale. Therefore, it has better accuracy than the single-scale method when they use the same coarse grids. The theoretical method and the dispersion analysis are investigated. Numerical computations with the perfectly matched layer boundary conditions are completed for 3D inhomogeneous poroelastic models with randomly distributed small scatterers. The results indicate that our multiscale method can effectively simulate wave propagation in 3D heterogeneous poroelastic media with a significant reduction in computation cost.
DOI	10.1190/GEO2018-0482.1
语种	英语
资助项目	National Natural Science Foundation of China[11471328] ; Key Project National Natural Science Foundation[51739007]
WOS研究方向	Geochemistry & Geophysics
WOS类目	Geochemistry & Geophysics
WOS记录号	WOS:000480678900045
出版者	SOC EXPLORATION GEOPHYSICISTS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35430
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, LSEC, ICMSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Wensheng,Zheng, Hui. A multiscale method for wave propagation in 3D heterogeneous poroelastic media[J]. GEOPHYSICS,2019,84(4):T237-T257.
APA	Zhang, Wensheng,&Zheng, Hui.(2019).A multiscale method for wave propagation in 3D heterogeneous poroelastic media.GEOPHYSICS,84(4),T237-T257.
MLA	Zhang, Wensheng,et al."A multiscale method for wave propagation in 3D heterogeneous poroelastic media".GEOPHYSICS 84.4(2019):T237-T257.