Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration

doi:10.1190/1.1988182

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	Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration
	Zhang, Y ; Zhang, GQ ; Bleistein, N
	2005-07-01
发表期刊	GEOPHYSICS
ISSN	0016-8033
卷号	70 期号:4 页码:E1-E10
摘要	One-way wave operators are powerful tools for forward modeling and migration. Here, we describe a recently developed true-amplitude implementation of modified one-way operators and present some numerical examples. By "true-amplitude" one-way forward modeling we mean that the solutions are dynamically correct as well as kinematically correct. That is, ray theory applied to these equations yields the upward- and downward-traveling eikonal equations of the full wave equation, and the amplitude satisfies the transport equation of the full wave equation. The solutions of these equations are used in the standard wave-equation migration imaging condition. The boundary data for the downgoing wave is also modified from the one used in the classic theory because the latter data is not consistent with a point source for the full wave equation. When the full wave-form solutions are replaced by their ray-theoretic approximations, the imaging formula reduces to the common-shot Kirchhoff inversion formula. In this sense, the migration is true amplitude as well. On the other hand, this new method retains all of the fidelity features of wave equation migration. Computer output using numerically generated data confirms the accuracy of this inversion method. However, there are practical limitations. The observed data must be a solution of the wave equation. Therefore, the data must be collected from a single common-shot experiment. Multi-experiment data, such as common-offset data, cannot be used with this method as presently formulated.
DOI	10.1190/1.1988182
语种	英语
WOS研究方向	Geochemistry & Geophysics
WOS类目	Geochemistry & Geophysics
WOS记录号	WOS:000230810500007
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/1355
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Y
作者单位	1.Veritas Geoserv, Houston, TX 77072 USA 2.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Colorado Sch Mines, Ctr Wave Phenomena, Golden, CO 80401 USA
推荐引用方式 GB/T 7714	Zhang, Y,Zhang, GQ,Bleistein, N. Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration[J]. GEOPHYSICS,2005,70(4):E1-E10.
APA	Zhang, Y,Zhang, GQ,&Bleistein, N.(2005).Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration.GEOPHYSICS,70(4),E1-E10.
MLA	Zhang, Y,et al."Theory of true-amplitude one-way wave equations and true-amplitude common-shot migration".GEOPHYSICS 70.4(2005):E1-E10.