Exact and approximate weights for Kirchhoff migration

Zhang, Yu; Gray, Sam; Young, Jerry

doi:10.1190/1.1815561

Cited by 25 publications

(15 citation statements)

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“…An initial effort to obtain a true-amplitude Gaussian beam migration for the reflection case was presented by Albertin et al (2004). For the reflection case, approximate Kirchhoff weights were given by Zhang et al (2000), and a deconvolution approach operating directly on the adjoint image was presented by Hu and Schuster (2000). Nonetheless, Hill (1990Hill ( , 2001 and Nowack et al (2003) showed that Gaussian beam migration images for structural imaging can still provide excellent images compared with Kirchhoff migration images.…”

Section: In In Inmentioning

confidence: 99%

Correlation Migration Using Gaussian Beams of Scattered Teleseismic Body Waves

Nowack

Dasgupta

Schuster

et al. 2006

Bulletin of the Seismological Society of America

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Correlation migration for structural imaging using Gaussian beams is described for the inversion of passively recorded teleseismic waves. Gaussian beam migration is based on an overcomplete frame-based representation of the seismic wave field and uses localized slant-stack windows of the data. Paraxial Gaussian beams are then utilized for the backpropagation of the seismic waves into the medium. The method can provide stable imaging of seismic data in smoothly varying background media where caustics and triplicated arrivals exist. We develop Gaussian beam migration for structural imaging, which allows for incident teleseismic waves from beneath the structure, using directly scattered or surface-reflected phases. The method is applied to synthetic data computed for a collisional-zone model, and the inversions show that the Gaussian beam migration can image structure using passive teleseismic data. The method is next applied to synthetic data that have been convolved with an observed pulse from the 1993 Cascadia experiment. The autocorrelation is computed and the autocorrelated data are migrated by using Gausian beams for direct P-to-S scattered waves and surface-reflected waves. Although the migrations of the autocorrelation data with the source pulse included have more noise than the migrations of the impulsive source data, the subduction zone structure can still be clearly identified in the migrated results without removal of the source pulses.

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Section: In In Inmentioning

confidence: 99%

Correlation Migration Using Gaussian Beams of Scattered Teleseismic Body Waves

Nowack

Dasgupta

Schuster

et al. 2006

Bulletin of the Seismological Society of America

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“…We can also derive expressions for the Beylkin determinant h for common-shot, common-receiver and common-offset geometries. In Table 1, we present v(z) migration weights in 2-D, 2.5-D and 3-D [16,17] . amplitude weights.…”

Section: Start From True Amplitude Kirchhoff Migrationmentioning

confidence: 99%

The Theory of True Amplitude One‐Way Wave Equation Migrations

2006

Chinese J of Geophysics

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In this technical report, we review the recent development of true amplitude one-way wave equation migration and summarize the migrated amplitude performance from different one-way wave equations. To produce correct amplitude from postack phase-shift migration, we have to apply accurate geometrical spreading compensation in preprocessing. Although Dubrulle's common-offset phase-shift migration gives correct imaging position, it is not a true amplitude migration except for zero offset or flat reflectors. We have shown that the conventional common-shot one-way wave equation migration does not produce correct migration amplitude. Based on the true amplitude one-way wave equations and the surface boundary condition corrections, we have developed true amplitude common-shot migration and have proved that it produces an inversion output that agrees asymptotically to Kirchhoff inversion. In the next step, we propose a way to obtain true amplitude common-angle image gathers from both single-square-root and double-square-root wave equation migrations. Our analysis indicates that the pUp * D imaging condition is a good candidate to produce true amplitude angle domain common imaging gathers. Compared to the pU/pD imaging condition which is required for true amplitude common-shot migration, the new approach suggests a more stable way of doing inversion and is more attractive to the real seismic data processing.

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“…However, all of these methods are for isotropic media. Zhang et al (2000; also provided amplitudepreserving migration based on the wave equation and estimated that the amplitude-preserving migration evolution for the wave equation is equivalent to the Kirchhoff equation. Zhang (2006) developed amplitudepreserving migration based on travel time and derived an amplitude-preserving migration equation.…”

Section: Introductionmentioning

confidence: 99%

Anisotropic converted wave amplitude-preserving prestack time migration by the pseudo-offset method

Zhang

Liu

2008

Appl. Geophys.

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In this paper, we use the method of pseudo-offset migration (POM) to complete converted wave pre-stack time migration with amplitude-preservation in an anisotropic medium. The method maps the original traces into common conversion scatter point (CCSP) gathers directly by POM, which simplifi es the conventional processing procedure for converted waves. The POM gather fold and SNR are high, which is favorable for velocity analysis and especially suitable for seismic data with low SNR. We used equivalent anisotropic theory to compute anisotropic parameters. Based on the scattering wave traveltime equation in a VTI medium, the POM pseudo-offset migration in anisotropic media was deduced. By amplitude-preserving POM gather mapping, velocity analysis, stack processing, and so on, the anisotropic migration results were acquired. The forward modeling computation and actual data processing demonstrate the validity of converted wave pre-stack time migration with amplitude-preservation using the anisotropic POM method.

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Exact and approximate weights for Kirchhoff migration

Cited by 25 publications

References 0 publications

Correlation Migration Using Gaussian Beams of Scattered Teleseismic Body Waves

Correlation Migration Using Gaussian Beams of Scattered Teleseismic Body Waves

The Theory of True Amplitude One‐Way Wave Equation Migrations

Anisotropic converted wave amplitude-preserving prestack time migration by the pseudo-offset method

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