2004
DOI: 10.1002/cjg2.523
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True Amplitude Seismic Migration Operator in 3‐D Heterogeneous Media

Abstract: In this paper, one-way wave equations with true amplitude are established by the decomposition of the wave field operator for wave equation in 3-D heterogeneous media. Moreover, the Split Step Fourier (SSF) and Fourier Finite Difference (FFD) migration operators with true amplitude are derived mathematically and specific steps are given.

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Cited by 5 publications
(6 citation statements)
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“…The reflectivity is then represented by R = U/D based on the Snell law. Stephen [12] proposed 3 kinds of amplitude preserving imaging conditions of the one-way wave equation applied to heterogeneous media.…”
Section: Imaging Condition To the Amplitude Preservingmentioning
confidence: 99%
“…The reflectivity is then represented by R = U/D based on the Snell law. Stephen [12] proposed 3 kinds of amplitude preserving imaging conditions of the one-way wave equation applied to heterogeneous media.…”
Section: Imaging Condition To the Amplitude Preservingmentioning
confidence: 99%
“…Zhang (2002), Xu et al (2001), and Cui et al (2004) modified the one way wave operator by importing differential operators, Λ and Γ to obtain maximum true amplitude during the process of downward continuation. The concrete expression in (ω, k) is: The function of Γ in (21) is to recover the amplitude.…”
Section: Wave Field Continuation and True Amplitude Processingmentioning
confidence: 99%
“…Originated from early 1970s, the modern seismic migration method initially tried to back propagate the reflected seismic wave observed on the surface to its starting location through mathematical method, and gain the image which can indicate the location of the subsurface reflectivity (Claerbout, 1971(Claerbout, , 1976Ma et al, 1898;Robein, 2010;Stolt, 1986;Bleistein et al, 1999;Li et al, 2011). After 40 years development, seismic migration has developed from post-stack to pre-stack migration, from two-dimension to three-dimension, from time domain migration to depth domain migration, from isotropic medium to anisotropic medium, from scalar acoustic wave equation to vector elastic wave equation (Du, 2012;Chang, 1994), from conventional migration without iteration to true amplitude migration and iterative least squares migration (Zhang, 2013a;Yao, 2012aYao, , 2012bDong, 2012;Gray, 1997;Sun et al, 2002;Cui et al, 2004;Liu et al, 2006;Zhang, 2006;Li, 2008;Zhou et al, 2014), and it also tried to realize velocity and impedance inversion (Zhang, 2013b(Zhang, , 2013c. The calculation of seismic migration can be divided into two broad categories: 1) is based on Kirchhoff integral, 2) is based on solving differential equation.…”
Section: Introductionmentioning
confidence: 99%