An optimized wave equation for seismic modeling and reverse time migration

doi:10.1190/1.3223678

	An optimized wave equation for seismic modeling and reverse time migration
	Liu, Faqi 1; Zhang, Guanquan 2; Morton, Scott A.1; Leveille, Jacques P.1
刊名	GEOPHYSICS
	2009-11-01
卷号	74 期号:6 页码:WCA153-WCA158
ISSN号	0016-8033
DOI	10.1190/1.3223678
英文摘要	The acoustic wave equation has been widely used for the modeling and reverse time migration of seismic data. Numerical implementation of this equation via finite-difference techniques has established itself as a valuable approach and has long been a favored choice in the industry. To ensure quality results, accurate approximations are required for spatial and time derivatives. Traditionally, they are achieved numerically by using either relatively very fine computation grids or very long finite-difference operators. Otherwise, the numerical error, known as numerical dispersion, is present in the data and contaminates the signals. However, either approach will result in a considerable increase in the computational cost. A simple and computationally low-cost modification to the standard acoustic wave equation is presented to suppress numerical dispersion. This dispersion attenuator is one analogy of the antialiasing operator widely applied in Kirchhoff migration. When the new wave equation is solved numerically using finite-difference schemes, numerical dispersion in the original wave equation is attenuated significantly, leading to a much more accurate finite-difference scheme with little additional computational cost. Numerical tests on both synthetic and field data sets in both two and three dimensions demonstrate that the optimized wave equation dramatically improves the image quality by successfully attenuating dispersive noise. The adaptive application of this new wave equation only increases the computational cost slightly.
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SOC EXPLORATION GEOPHYSICISTS
WOS记录号	WOS:000273896600015
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/7781]
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Faqi
作者单位	1.Hess Corp, Houston, TX USA 2.Chinese Acad Sci, LSEC, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Liu, Faqi,Zhang, Guanquan,Morton, Scott A.,et al. An optimized wave equation for seismic modeling and reverse time migration[J]. GEOPHYSICS,2009,74(6):WCA153-WCA158.
APA	Liu, Faqi,Zhang, Guanquan,Morton, Scott A.,&Leveille, Jacques P..(2009).An optimized wave equation for seismic modeling and reverse time migration.GEOPHYSICS,74(6),WCA153-WCA158.
MLA	Liu, Faqi,et al."An optimized wave equation for seismic modeling and reverse time migration".GEOPHYSICS 74.6(2009):WCA153-WCA158.