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	SOLVING WAVE EQUATIONS IN THE CURVELET DOMAIN: A MULTI-SCALE AND MULTI-DIRECTIONAL APPROACH
	Sun, Bingbing ; Ma, Jianwei ; Chauris, Herve ; Yang, Huizhu
	2010-10-12 ; 2010-10-12 ; OCT
关键词	curvelets wavelets numerical simulation wave equation multi-scale multi-directional adaptive LAYERED MEDIA PROPAGATION SIMULATION Geochemistry & Geophysics
中文摘要	Seismic imaging is a key step in seismic exploration to retrieve the earth properties from seismic measurements at the surface. One needs to properly model the response of the earth by solving the wave equation. We present how curvelets can be used in that respect. Curvelets can be seen from the geophysical point of view as the representation of local plane waves. The unknown pressure, solution of the wave equation, is decomposed in the curvelet domain. We derive the new associated equation for the curvelet coefficients and show how to solve it. In this paper, we focus on a simple homogeneous model to illustrate the feasibility of the curvelet-based method. This is a first step towards the modeling in more complex models. In particular, we express the derivative of the wave field in the curvelet domain. The simulation results show that our algorithm can give a multi-scale and multi-directional view of the wave propagation. A potential application is to model the wave motion in some specific directions. We also discuss the current limitations of this approach, in particular the extension to more complex models.
语种	英语 ; 英语
出版者	GEOPHYSICAL PRESS ; CASTELNAU-LE-LEZ ; 14 RUE DU PRADO, 34170 CASTELNAU-LE-LEZ, FRANCE
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/78973]
专题	清华大学
推荐引用方式 GB/T 7714	Sun, Bingbing,Ma, Jianwei,Chauris, Herve,et al. SOLVING WAVE EQUATIONS IN THE CURVELET DOMAIN: A MULTI-SCALE AND MULTI-DIRECTIONAL APPROACH[J],2010, 2010, OCT.
APA	Sun, Bingbing,Ma, Jianwei,Chauris, Herve,&Yang, Huizhu.(2010).SOLVING WAVE EQUATIONS IN THE CURVELET DOMAIN: A MULTI-SCALE AND MULTI-DIRECTIONAL APPROACH..
MLA	Sun, Bingbing,et al."SOLVING WAVE EQUATIONS IN THE CURVELET DOMAIN: A MULTI-SCALE AND MULTI-DIRECTIONAL APPROACH".(2010).

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