On velocity/depth ambiguity in 3-D migration velocity analysis

Meng, Zhaobo

doi:10.1190/1.1444902

Cited by 14 publications

(10 citation statements)

References 9 publications

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“…Let P (α) ∈ Ψ 1 (Y ) be a C ∞ family of pseudodifferential operators with principal symbols p 1 (α). Let F (α) be a family of operators satisfying equation (20). Then F (α) is a C ∞ family of FIOs associated to Σ α , which is the canonical transformation whose graph is obtained from Σ α 0 by the flow of H p 1 (α) .…”

Section: Theoremmentioning

confidence: 99%

“…On the other hand, evolution equation (20) propagates singularities in accordance with the Hamilton flow with Hamiltonian…”

Section: Continuation Bicharacteristics the Canonical Relation Of Cmentioning

confidence: 99%

“…A specific task in seismic applications is the construction of evolution equations of the type (20) for given F (α). We note that in special cases corresponding with simple media the pseudodifferential equation can be written in partial differential form (see Goldin [23] for such constructions using contact geometry).…”

Section: Construction Of Continuationmentioning

confidence: 99%

“…The first approach (method 1) comprises the straightforward composition of 'migration' and 'demigration' operators through their canonical relations. In the second approach (method 2) we derive the evolution operator in (20) from the phase function of 'migration' operator F (α) * . In the third approach (method 3), we obtain the (principal part of the) evolution operator in (20) from the combined phase function of the composition F (α) * F (α) (which may be viewed as a generalization of considerations in [14]).…”

Section: Construction Of Continuationmentioning

confidence: 99%

“…For the case of image continuation, consistent with terminology from the seismic literature, we refer to such a method as 'continuation-based' migration velocity analysis. This idea was explored by Liu and Bleistein [18] and Meng and Bleistein [19,20].…”

Section: Introductionmentioning

confidence: 99%

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Evolution-equation approach to seismic image, and data, continuation

2008

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In reflection seismology one places point sources and point receivers on the earth's surface, forming an acquisition geometry. Each source generates acoustic waves in the subsurface, that are reflected where the medium properties vary discontinuously. The reflections that can be observed at the receivers are used to image these discontinuities or reflectors assuming a background medium. We analyze methods to circumvent the repeated imaging of reflectors under varying background media, or the repeated modelling of reflections under varying acquisition geometries. These methods involve the introduction of the notion of seismic continuation. Here, we develop the foundation of, and a comprehensive framework for seismic continuation while extending earlier approaches to allow for the formation of caustics. Traditionally, seismic continuation has been viewed from a geometrical (ray asymptotic) point of view; here, we introduce the notion of wave-equation continuation through the appearance of evolution equations.

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Section: Theoremmentioning

confidence: 99%

“…On the other hand, evolution equation (20) propagates singularities in accordance with the Hamilton flow with Hamiltonian…”

Section: Continuation Bicharacteristics the Canonical Relation Of Cmentioning

confidence: 99%

Section: Construction Of Continuationmentioning

confidence: 99%

Section: Construction Of Continuationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Evolution-equation approach to seismic image, and data, continuation

2008

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Synthetic Source Record Interactive Residual Migration Velocity Analysis Based on Controlled Illumination

Wang¹,

Zhang²,

Zhao³

et al. 2007

Chinese J of Geophysics

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In this paper, we present a new migration velocity analysis method–synthetic source record interactive residual migration velocity analysis method based on controlled illumination. The differences between this method and other similar methods are: (1) The fast synthetic source record algorithm based on the wave theory is adopted in prestack depth migration; (2) The plane wave source is used in migration that is consistent with the velocity analysis method; (3) By using the controlled illumination, the distortion of the plane wave source wavefield due to the lateral velocity variation is avoided therefore the error of velocity analysis is reduced and; (4) The practical velocity spectrum makes the interactive migration velocity analysis feasible and convenient. The results of model and field data of Xinjiang prove that this method is valid and practical for migration velocity analysis.

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