Migration/inversion: think image point coordinates, process in acquisition surface coordinates

doi:10.1088/0266-5611/21/5/013

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	Migration/inversion: think image point coordinates, process in acquisition surface coordinates
	Bleistein, N ; Zhang, Y ; Xu, S ; Zhang, GQ ; Gray, SH
	2005-10-01
发表期刊	INVERSE PROBLEMS
ISSN	0266-5611
卷号	21 期号:5 页码:1715-1744
摘要	We state a general principle for seismic migration/inversion (M/I) processes: think image point coordinates; compute in surface coordinates. This principle allows the natural separation of multiple travel paths of energy from a source to a reflector to a receiver. Further, the Beylkin determinant (Jacobian of transformation between processing parameters and acquisition surface coordinates) is particularly simple in stark contrast to the common-offset Beylkin determinant in standard single arrival Kirchhoff M/I. A feature of this type of processing is that it changes the deconvolution structure of Kirchhoff M/I operators or the deconvolution imaging operator of wave equation migration into convolution operators; that is, division by Green's functions is replaced by multiplications by adjoint Green's functions. This transformation from image point coordinates to surface coordinates is also applied to a recently developed extension of the standard Kirchhoff inversion method. The standard method uses WKBJ Green's functions in the integration process and tends to produce more imaging artefacts than alternatives, such as methods using Gaussian beam representations of Green's functions in the inversion formula. These methods point to the need for a true-amplitude Kirchhoff technique that uses more general Green's functions: Gaussian beams, true-amplitude one-way Green's functions, or Green's functions from the two-way wave equation. Here, we present a derivation of a true-amplitude Kirchhoff M/I that uses these more general Green's functions. When this inversion is recast as an integral over all Sources and receivers, the formula is surprisingly simple.
DOI	10.1088/0266-5611/21/5/013
语种	英语
WOS研究方向	Mathematics ; Physics
WOS类目	Mathematics, Applied ; Physics, Mathematical
WOS记录号	WOS:000232875800013
出版者	IOP PUBLISHING LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2109
专题	中国科学院数学与系统科学研究院
通讯作者	Bleistein, N
作者单位	1.Colorado Sch Mines, Dept Geophys, Ctr Wave Phenomena, Golden, CO 80401 USA 2.Veritas DGC Inc, Houston, TX 77072 USA 3.Chinese Acad Sci, Inst Computat Math & Sci Eng Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 4.Veritas DGC Inc, Calgary, AB T2P 5A2, Canada
推荐引用方式 GB/T 7714	Bleistein, N,Zhang, Y,Xu, S,et al. Migration/inversion: think image point coordinates, process in acquisition surface coordinates[J]. INVERSE PROBLEMS,2005,21(5):1715-1744.
APA	Bleistein, N,Zhang, Y,Xu, S,Zhang, GQ,&Gray, SH.(2005).Migration/inversion: think image point coordinates, process in acquisition surface coordinates.INVERSE PROBLEMS,21(5),1715-1744.
MLA	Bleistein, N,et al."Migration/inversion: think image point coordinates, process in acquisition surface coordinates".INVERSE PROBLEMS 21.5(2005):1715-1744.