An average-derivative optimal scheme for frequency-domain scalar wave equation

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	An average-derivative optimal scheme for frequency-domain scalar wave equation
	Chen, JB
刊名	GEOPHYSICS
	2012
卷号	77 期号:6 页码:T201-T210
关键词	FINITE-DIFFERENCE FORM INVERSION LAX-WENDROFF SPACE TIME TOMOGRAPHY
ISSN号	0016-8033
通讯作者	Chen, JB (reprint author), Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing, Peoples R China.
英文摘要	Forward modeling is an important foundation of full-waveform inversion. The rotated optimal nine-point scheme is an efficient algorithm for frequency-domain 2D scalar wave equation simulation, but this scheme fails when directional sampling intervals are different. To overcome the restriction on directional sampling intervals of the rotated optimal nine-point scheme, I introduce a new finite-difference algorithm. Based on an average-derivative technique, this new algorithm uses a nine-point operator to approximate spatial derivatives and mass acceleration term. The coefficients can be determined by minimizing phase-velocity dispersion errors. The resulting nine-point optimal scheme applies to equal and unequal directional sampling intervals, and can be regarded a generalization of the rotated optimal nine-point scheme. Compared to the classical five-point scheme, the number of grid points per smallest wavelength is reduced from 13 to less than four by this new nine-point optimal scheme for equal and unequal directional sampling intervals. Three numerical examples are presented to demonstrate the theoretical analysis. The average-derivative algorithm is also extended to a 2D viscous scalar wave equation and a 3D scalar wave equation.
学科主题	Physics
收录类别	SCI
资助信息	National Natural Science Foundation of China [40830424, 40974074, 40774069]; National Major Project of China [2011ZX05008-006]
原文出处	http://dx.doi.org/10.1190/GEO2011-0389.1
语种	英语
WOS记录号	WOS:000312824300029
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/14992]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Chen, JB. An average-derivative optimal scheme for frequency-domain scalar wave equation[J]. GEOPHYSICS,2012,77(6):T201-T210.
APA	Chen, JB.(2012).An average-derivative optimal scheme for frequency-domain scalar wave equation.GEOPHYSICS,77(6),T201-T210.
MLA	Chen, JB."An average-derivative optimal scheme for frequency-domain scalar wave equation".GEOPHYSICS 77.6(2012):T201-T210.