An optimal method for frequency-domain finite-difference solution of 3D scalar wave equation

doi:10.6038/cjg2018L0375

	An optimal method for frequency-domain finite-difference solution of 3D scalar wave equation
	Fan Na 1,2,3; Cheng JingWang 1,3; Qin Lei 4; Zhao LianFeng 5; Xie XiaoBi 6; Yao ZhenXing 5
刊名	CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
	2018-03-01
卷号	61 期号:3 页码:1095-1108
关键词	3D acoustic wave equation Frequency domain Finite difference Optimized coefficients
ISSN号	0001-5733
DOI	10.6038/cjg2018L0375
文献子类	Article
英文摘要	To increase the computational accuracy and efficiency of frequency-domain finite difference (FD) modeling method, the optimal FD scheme with rotated coordinate system were widely used. It requires the same spatial sampling intervals in horizontal and vertical directions, which limited their applications in practice. Later the average-derivative method (ADM) was proposed to work with the rectangular-grid modeling. However, these frequency-domain FD operators, unlike the time-domain FD operators of which the coefficients can be determined by a general optimal method even with different stencils, usually have their own forms of differential equations with different distributions of optimized coefficients. In this paper, we develop a general optimal method for frequency-domain FD modeling based on 3D acoustic wave equation. For a given finite-difference stencil, this method can generate the dispersion equation and optimize the expansion coefficients. The advantage of this method is that the optimized coefficients correspond to the grid nodes of FD stencil and it is very easy to expand to other FD schemes. We computed the optimized coefficients of 27- and 7-point schemes with different aspect ratios. Numerical experiments demonstrate that our optimal 27-point scheme have the same accuracy with ADM 27-point scheme and our optimal 7-point scheme have higher accuracy than the classical 7-point scheme.
WOS关键词	AVERAGE-DERIVATIVE METHOD ; ACOUSTIC EQUATION ; FORM INVERSION ; TIME MIGRATION ; DIRECT SOLVER ; PROPAGATION ; SCHEME ; SPACE ; EXTRAPOLATOR ; OPERATORS
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SCIENCE PRESS
WOS记录号	WOS:000428609900024
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/83158]
专题	中国科学院地质与地球物理研究所
通讯作者	Fan Na
作者单位	1.Yangtze Univ, Minist Educ, Key Lab Explorat Technol Oil & Gas Resources, Wuhan 430100, Hubei, Peoples R China 2.Hubei Cooperat Innovat Ctr Unconvent Oil & Gas, Wuhan 430100, Hubei, Peoples R China 3.Yangtze Univ, Sch Geophys & Oil Resources, Wuhan 430100, Hubei, Peoples R China 4.Sinopec Geophys Corp, Huadong Branch, Nanjing 211112, Jiangsu, Peoples R China 5.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing 100029, Peoples R China 6.Univ Calif Santa Cruz, Inst Geophys & Planetary Phys, Santa Cruz, CA 95064 USA
推荐引用方式 GB/T 7714	Fan Na,Cheng JingWang,Qin Lei,et al. An optimal method for frequency-domain finite-difference solution of 3D scalar wave equation[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2018,61(3):1095-1108.
APA	Fan Na,Cheng JingWang,Qin Lei,Zhao LianFeng,Xie XiaoBi,&Yao ZhenXing.(2018).An optimal method for frequency-domain finite-difference solution of 3D scalar wave equation.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,61(3),1095-1108.
MLA	Fan Na,et al."An optimal method for frequency-domain finite-difference solution of 3D scalar wave equation".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 61.3(2018):1095-1108.