A Wavelet-Optimized Adaptive Grid Method for Finite-Difference Simulation of Wave Propagation

doi:10.1785/0120080002

	A Wavelet-Optimized Adaptive Grid Method for Finite-Difference Simulation of Wave Propagation
	Pei, Zheng-Lin 1; Fu, Li-Yun 2; Yu, Geng-Xin 2; Zhang, Lu-Xin 2
刊名	BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA
	2009-02-01
卷号	99 期号:1 页码:302-313
ISSN号	0037-1106
DOI	10.1785/0120080002
文献子类	Article
英文摘要	To accurately and efficiently model the complex spatiotemporal localization of wave propagation in heterogeneous media, we present a wavelet-optimized gridding scheme for the staggered-grid finite-difference (FD) numerical method. An average-interpolating (AI) wavelet transform with its wavelet coefficients obtained from linear combinations of samples, rather than from integrals, enables the gridding scheme constructed in the physical space to determine where to refine/coarsen the grid adapted to the complex spatial localization of problems and the relatively irregular sampling of seismic signals. The AI wavelet is a perfect transform with its wavelet coefficients decaying rapidly with increasing resolution. The wavelet scale parameter is related directly to the level of meshes. We can reconstruct the solution with good accuracy using a finite number of terms of wavelet expansion under some threshold sets for refinement/coarsening in a low-or high-degree of regularity. The adaptive meshes, in response to the heterogeneities of media and the resolution scales of wave fields, lead not only to a great saving of computation time and memory but also to an enabling method for solving problems with high accuracy in some local complex zones. Numerical examples demonstrate that the proposed wavelet-optimized adaptive FD scheme is efficient and accurate for wave propagation simulation.
WOS关键词	HETEROGENEOUS MEDIA ; DISCONTINUOUS GRIDS ; SEISMIC MOTION ; SEISMOGRAMS ; TRANSFORM ; SURFACE
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SEISMOLOGICAL SOC AMER
WOS记录号	WOS:000266181100023
资助机构	National High Technology Research and Development Program (863 Program) of China(2006AA06Z240) ; National High Technology Research and Development Program (863 Program) of China(2006AA06Z240) ; Key Lab of Geophysical Exploration of CNPC(GPKL0805) ; Key Lab of Geophysical Exploration of CNPC(GPKL0805) ; National High Technology Research and Development Program (863 Program) of China(2006AA06Z240) ; National High Technology Research and Development Program (863 Program) of China(2006AA06Z240) ; Key Lab of Geophysical Exploration of CNPC(GPKL0805) ; Key Lab of Geophysical Exploration of CNPC(GPKL0805) ; National High Technology Research and Development Program (863 Program) of China(2006AA06Z240) ; National High Technology Research and Development Program (863 Program) of China(2006AA06Z240) ; Key Lab of Geophysical Exploration of CNPC(GPKL0805) ; Key Lab of Geophysical Exploration of CNPC(GPKL0805) ; National High Technology Research and Development Program (863 Program) of China(2006AA06Z240) ; National High Technology Research and Development Program (863 Program) of China(2006AA06Z240) ; Key Lab of Geophysical Exploration of CNPC(GPKL0805) ; Key Lab of Geophysical Exploration of CNPC(GPKL0805)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/71098]
专题	中国科学院地质与地球物理研究所
通讯作者	Pei, Zheng-Lin
作者单位	1.Univ Petr, China Natl Petr Corp, Key Lab Geophys Explorat, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earths Deep Interior, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Pei, Zheng-Lin,Fu, Li-Yun,Yu, Geng-Xin,et al. A Wavelet-Optimized Adaptive Grid Method for Finite-Difference Simulation of Wave Propagation[J]. BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA,2009,99(1):302-313.
APA	Pei, Zheng-Lin,Fu, Li-Yun,Yu, Geng-Xin,&Zhang, Lu-Xin.(2009).A Wavelet-Optimized Adaptive Grid Method for Finite-Difference Simulation of Wave Propagation.BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA,99(1),302-313.
MLA	Pei, Zheng-Lin,et al."A Wavelet-Optimized Adaptive Grid Method for Finite-Difference Simulation of Wave Propagation".BULLETIN OF THE SEISMOLOGICAL SOCIETY OF AMERICA 99.1(2009):302-313.