Diffraction imaging by uniform asymptotic theory and double exponential fitting

doi:10.1111/1365-2478.12199

	Diffraction imaging by uniform asymptotic theory and double exponential fitting
	Zhao, Jingtao 1,2; Wang, Yanfei 2; Yu, Caixia 2
刊名	GEOPHYSICAL PROSPECTING
	2015-03-01
卷号	63 期号:2 页码:1-16
关键词	Uniform asymptotic theory Exponential fitting Kirchhoff diffraction Diffraction amplitude Diffraction imaging
ISSN号	0016-8025
DOI	10.1111/1365-2478.12199
文献子类	Article
英文摘要	Seismic diffracted waves carry valuable information for identifying geological discontinuities. Unfortunately, the diffraction energy is generally too weak, and standard seismic processing is biased to imaging reflection. In this paper, we present a dynamic diffraction imaging method with the aim of enhancing diffraction and increasing the signal-to-noise ratio. The correlation between diffraction amplitudes and their traveltimes generally exists in two forms, with one form based on the Kirchhoff integral formulation, and the other on the uniform asymptotic theory. However, the former will encounter singularities at geometrical shadow boundaries, and the latter requires the computation of a Fresnel integral. Therefore, neither of these methods is appropriate for practical applications. Noting the special form of the Fresnel integral, we propose a least-squares fitting method based on double exponential functions to study the amplitude function of diffracted waves. The simple form of the fitting function has no singularities and can accelerate the calculation of diffraction amplitude weakening coefficients. By considering both the fitting weakening function and the polarity reversal property of the diffracted waves, we modify the conventional Kirchhoff imaging conditions and formulate a diffraction imaging formula. The mechanism of the proposed diffraction imaging procedure is based on the edge diffractor, instead of the idealized point diffractor. The polarity reversal property can eliminate the background of strong reflection and enhance the diffraction by same-phase summation. Moreover, the fitting weakening function of diffraction amplitudes behaves like an inherent window to optimize the diffraction imaging aperture by its decaying trend. Synthetic and field data examples reveal that the proposed diffraction imaging method can meet the requirement of high-resolution imaging, with the edge diffraction fully reinforced and the strong reflection mostly eliminated.
WOS关键词	SEISMIC DIFFRACTIONS ; GEOMETRICAL-THEORY ; VELOCITY ANALYSIS ; TRAVEL-TIMES ; SEPARATION ; MIGRATION ; WAVES ; SECTIONS ; RECEIVER ; DEPTH
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	WILEY-BLACKWELL
WOS记录号	WOS:000349974600005
资助机构	National Natural Science Foundation of China(41325016 ; National Natural Science Foundation of China(41325016 ; R & D of Key Instruments and Technologies for Deep Resources Prospecting (National R & D Projects for Key Scientific Instruments)(ZDYZ2012-1-02-04) ; R & D of Key Instruments and Technologies for Deep Resources Prospecting (National R & D Projects for Key Scientific Instruments)(ZDYZ2012-1-02-04) ; 11271349) ; 11271349) ; National Natural Science Foundation of China(41325016 ; National Natural Science Foundation of China(41325016 ; R & D of Key Instruments and Technologies for Deep Resources Prospecting (National R & D Projects for Key Scientific Instruments)(ZDYZ2012-1-02-04) ; R & D of Key Instruments and Technologies for Deep Resources Prospecting (National R & D Projects for Key Scientific Instruments)(ZDYZ2012-1-02-04) ; 11271349) ; 11271349) ; National Natural Science Foundation of China(41325016 ; National Natural Science Foundation of China(41325016 ; R & D of Key Instruments and Technologies for Deep Resources Prospecting (National R & D Projects for Key Scientific Instruments)(ZDYZ2012-1-02-04) ; R & D of Key Instruments and Technologies for Deep Resources Prospecting (National R & D Projects for Key Scientific Instruments)(ZDYZ2012-1-02-04) ; 11271349) ; 11271349) ; National Natural Science Foundation of China(41325016 ; National Natural Science Foundation of China(41325016 ; R & D of Key Instruments and Technologies for Deep Resources Prospecting (National R & D Projects for Key Scientific Instruments)(ZDYZ2012-1-02-04) ; R & D of Key Instruments and Technologies for Deep Resources Prospecting (National R & D Projects for Key Scientific Instruments)(ZDYZ2012-1-02-04) ; 11271349) ; 11271349)
内容类型	期刊论文
源URL	[http://ir.iggcas.ac.cn/handle/132A11/86939]
专题	中国科学院地质与地球物理研究所
通讯作者	Zhao, Jingtao
作者单位	1.PetroChina, Res Inst Petr Explorat & Dev, Beijing 100083, Peoples R China 2.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Jingtao,Wang, Yanfei,Yu, Caixia. Diffraction imaging by uniform asymptotic theory and double exponential fitting[J]. GEOPHYSICAL PROSPECTING,2015,63(2):1-16.
APA	Zhao, Jingtao,Wang, Yanfei,&Yu, Caixia.(2015).Diffraction imaging by uniform asymptotic theory and double exponential fitting.GEOPHYSICAL PROSPECTING,63(2),1-16.
MLA	Zhao, Jingtao,et al."Diffraction imaging by uniform asymptotic theory and double exponential fitting".GEOPHYSICAL PROSPECTING 63.2(2015):1-16.