Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver

doi:10.1016/j.jappgeo.2017.10.006

	Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver
	Cao, Jian 1; Chen, Jing-Bo ; Dai, Meng-Xue
刊名	JOURNAL OF APPLIED GEOPHYSICS
	2018
卷号	148 页码:70-82
关键词	Bi-CGSTAB Multigrid method Average-derivative optimal scheme Local mode analysis Fourier spectral analysis
ISSN号	0926-9851
DOI	10.1016/j.jappgeo.2017.10.006
文献子类	Article
英文摘要	An efficient finite-difference frequency-domain modeling of seismic wave propagation relies on the discrete schemes and appropriate solving methods. The average-derivative optimal scheme for the scalar wave modeling is advantageous in terms of the storage saving for the system of linear equations and the flexibility for arbitrary directional sampling intervals. However, using a LU-decomposition-based direct solver to solve its resulting system of linear equations is very costly for both memory and computational requirements. To address this issue, we consider establishing a multigrid-preconditioned BI-CGSTAB iterative solver fit for the average-derivative optimal scheme. The choice of preconditioning matrix and its corresponding multigrid components is made with the help of Fourier spectral analysis and local mode analysis, respectively, which is important for the convergence. Furthermore, we find that for the computation with unequal directional sampling interval, the anisotropic smoothing in the multigrid precondition may affect the convergence rate of this iterative solver. Successful numerical applications of this iterative solver for the homogenous and heterogeneous models in 2D and 3D are presented where the significant reduction of computer memory and the improvement of computational efficiency are demonstrated by comparison with the direct solver. In the numerical experiments, we also show that the unequal directional sampling interval will weaken the advantage of this multigrid-preconditioned iterative solver in the computing speed or, even worse, could reduce its accuracy in some cases, which implies the need for a reasonable control of directional sampling interval in the discretization. (C) 2017 Elsevier B.V All rights reserved.
WOS关键词	FINITE-DIFFERENCE ; HELMHOLTZ-EQUATION ; PROPAGATION ; EXTRAPOLATOR ; ACCURACY ; SPACE ; LAYER
WOS研究方向	Geology ; Mining & Mineral Processing
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000424171900008
资助机构	National Natural Science Foundation of China(41474104 ; National Natural Science Foundation of China(41474104 ; 41674132) ; 41674132) ; National Natural Science Foundation of China(41474104 ; National Natural Science Foundation of China(41474104 ; 41674132) ; 41674132) ; National Natural Science Foundation of China(41474104 ; National Natural Science Foundation of China(41474104 ; 41674132) ; 41674132) ; National Natural Science Foundation of China(41474104 ; National Natural Science Foundation of China(41474104 ; 41674132) ; 41674132)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/82672]
专题	中国科学院地质与地球物理研究所
通讯作者	Cao, Jian
作者单位	1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resource Res, Beijing 100029, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Cao, Jian,Chen, Jing-Bo,Dai, Meng-Xue. Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver[J]. JOURNAL OF APPLIED GEOPHYSICS,2018,148:70-82.
APA	Cao, Jian,Chen, Jing-Bo,&Dai, Meng-Xue.(2018).Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver.JOURNAL OF APPLIED GEOPHYSICS,148,70-82.
MLA	Cao, Jian,et al."Modeling of frequency-domain scalar wave equation with the average-derivative optimal scheme based on a multigrid-preconditioned iterative solver".JOURNAL OF APPLIED GEOPHYSICS 148(2018):70-82.