Laplace-Fourier-domain dispersion analysis of an average derivative optimal scheme for scalar-wave equation

doi:10.1093/gji/ggu066

	Laplace-Fourier-domain dispersion analysis of an average derivative optimal scheme for scalar-wave equation
	Chen, Jing-Bo
刊名	GEOPHYSICAL JOURNAL INTERNATIONAL
	2014-06-01
卷号	197 期号:3 页码:1681-1692
关键词	Seismic tomography Computational seismology Wave propagation
ISSN号	0956-540X
DOI	10.1093/gji/ggu066
英文摘要	By using low-frequency components of the damped wavefield, Laplace-Fourier-domain full waveform inversion (FWI) can recover a long-wavelength velocity model from the original undamped seismic data lacking low-frequency information. Laplace-Fourier-domain modelling is an important foundation of Laplace-Fourier-domain FWI. Based on the numerical phase velocity and the numerical attenuation propagation velocity, a method for performing Laplace-Fourier-domain numerical dispersion analysis is developed in this paper. This method is applied to an average-derivative optimal scheme. The results show that within the relative error of 1 per cent, the Laplace-Fourier-domain average-derivative optimal scheme requires seven gridpoints per smallest wavelength and smallest pseudo-wavelength for both equal and unequal directional sampling intervals. In contrast, the classical five-point scheme requires 23 gridpoints per smallest wavelength and smallest pseudo-wavelength to achieve the same accuracy. Numerical experiments demonstrate the theoretical analysis.
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000337041100031
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/85716]
专题	中国科学院地质与地球物理研究所
通讯作者	Chen, Jing-Bo
作者单位	Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Chen, Jing-Bo. Laplace-Fourier-domain dispersion analysis of an average derivative optimal scheme for scalar-wave equation[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2014,197(3):1681-1692.
APA	Chen, Jing-Bo.(2014).Laplace-Fourier-domain dispersion analysis of an average derivative optimal scheme for scalar-wave equation.GEOPHYSICAL JOURNAL INTERNATIONAL,197(3),1681-1692.
MLA	Chen, Jing-Bo."Laplace-Fourier-domain dispersion analysis of an average derivative optimal scheme for scalar-wave equation".GEOPHYSICAL JOURNAL INTERNATIONAL 197.3(2014):1681-1692.