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

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

	Migration/inversion: think image point coordinates, process in acquisition surface coordinates
	Bleistein, N ; Zhang, Y ; Xu, S ; Zhang, GQ ; Gray, SH
刊名	INVERSE PROBLEMS
	2005-10-01
卷号	21 期号:5 页码:1715-1744
ISSN号	0266-5611
DOI	10.1088/0266-5611/21/5/013
英文摘要	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.
WOS研究方向	Mathematics ; Physics
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000232875800013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/2108]
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.