Numerical analysis of one-dimensional nonlinear acoustic wave

doi:10.2478/s11600-007-0012-8

	Numerical analysis of one-dimensional nonlinear acoustic wave
	Zheng, Haishan ; Morozov, Igor B.; Mang, Zhongjie
刊名	ACTA GEOPHYSICA
	2007-09-01
卷号	55 期号:3 页码:313-323
关键词	nonlinear acoustic wave high-order finite difference flux limiter
ISSN号	1895-6572
DOI	10.2478/s11600-007-0012-8
文献子类	Article
英文摘要	Numerical investigations on one-dimensional nonlinear acoustic wave with third and fourth order nonlinearities are presented using high-order finite-difference (HFD) operators with a simple flux-limiter (SFL) algorithm. As shown by our numerical tests, the HFDSFL method is able to produce more stable, accurate and conservative solutions to the nonlinear acoustic waves than those computed by finite-difference combined with the flux-corrected-transport algorithm. Unlike the linear acoustic waves, the nonlinear acoustic waves have variable phase velocity and waveform both in time-space (t-x) domain and frequency-wavenumber (f-k) domain; of our special interest is the behaviour during the propagation of nonlinear acoustic waves: the waveforms are strongly linked to the type of medium nonlinearities, generation of harmonics, frequency and wavenumber peak shifts. In seismic sense, these characteristics of nonlinear wave will introduce new issues during such seismic processing as Normal Moveout and f-k filter. Moreover, as shown by our numerical experiment for a four-layer model, the nonlinearities of media will introduce extra velocity errors in seismic velocity inversion.
WOS关键词	FLUX-CORRECTED TRANSPORT ; ELASTIC-WAVES ; PROPAGATION ; GENERATION ; SANDSTONE ; MEDIA ; ROCK
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	VERSITA
WOS记录号	WOS:000250653800004
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/68570]
专题	中国科学院地质与地球物理研究所
通讯作者	Zheng, Haishan
作者单位	1.Univ Saskatchewan, Dept Geol Sci, Saskatoon, SK S7N 0W0, Canada 2.Chinese Acad Sci, Inst Geol & Geophys, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zheng, Haishan,Morozov, Igor B.,Mang, Zhongjie. Numerical analysis of one-dimensional nonlinear acoustic wave[J]. ACTA GEOPHYSICA,2007,55(3):313-323.
APA	Zheng, Haishan,Morozov, Igor B.,&Mang, Zhongjie.(2007).Numerical analysis of one-dimensional nonlinear acoustic wave.ACTA GEOPHYSICA,55(3),313-323.
MLA	Zheng, Haishan,et al."Numerical analysis of one-dimensional nonlinear acoustic wave".ACTA GEOPHYSICA 55.3(2007):313-323.