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An optimized wave equation for seismic modeling and reverse time migration
Liu, Faqi1; Zhang, Guanquan2; Morton, Scott A.1; Leveille, Jacques P.1
2009-11-01
发表期刊GEOPHYSICS
ISSN0016-8033
卷号74期号:6页码:WCA153-WCA158
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.
DOI10.1190/1.3223678
语种英语
WOS研究方向Geochemistry & Geophysics
WOS类目Geochemistry & Geophysics
WOS记录号WOS:000273896600015
出版者SOC EXPLORATION GEOPHYSICISTS
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/7782
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
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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.
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