Developing angle-domain wave path tomography for velocity analysis in complex settings

Bakker, P. M.; Gerritsen, Sijmen

doi:10.3997/2214-4609.20131199

Cited by 2 publications

(2 citation statements)

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“…The reflection case allows us to illustrate what happens in reflection tomography when the waves mainly travel in the vertical direction. In practice, the scattering potential plays an important role in full waveform inversion but not in wave‐path tomography as defined by Bakker and Gerritsen ().…”

Section: Numerical Resultsmentioning

confidence: 99%

“…This can be achieved, at least in horizontally layered media, by reformulating the waveform inversion in vertical time instead of depth to avoid the depth/velocity ambiguities (Alkhalifah ; Plessix ). Bakker and Gerritsen () developed the angle‐domain reflection wave‐path tomography to handle complex velocity models. Migration velocity analysis can also be seen as an extension of wave equation tomography to reflection data (Prucha, Biondi, and Symes ; Rickett and Sava ; Xie and Yang ; Fomel ).…”

Section: Introductionmentioning

confidence: 99%

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Analysis of the traveltime sensitivity kernels for an acoustic transversely isotropic medium with a vertical axis of symmetry

Djebbi

Plessix

Alkhalifah

2016

Geophysical Prospecting

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A B S T R A C TIn anisotropic media, several parameters govern the propagation of the compressional waves. To correctly invert surface recorded seismic data in anisotropic media, a multi-parameter inversion is required. However, a tradeoff between parameters exists because several models can explain the same dataset. To understand these tradeoffs, diffraction/reflection and transmission-type sensitivity-kernels analyses are carried out. Such analyses can help us to choose the appropriate parameterization for inversion. In tomography, the sensitivity kernels represent the effect of a parameter along the wave path between a source and a receiver. At a given illumination angle, similarities between sensitivity kernels highlight the tradeoff between the parameters. To discuss the parameterization choice in the context of finite-frequency tomography, we compute the sensitivity kernels of the instantaneous traveltimes derived from the seismic data traces. We consider the transmission case with no encounter of an interface between a source and a receiver; with surface seismic data, this corresponds to a diving wave path. We also consider the diffraction/reflection case when the wave path is formed by two parts: one from the source to a sub-surface point and the other from the sub-surface point to the receiver. We illustrate the different parameter sensitivities for an acoustic transversely isotropic medium with a vertical axis of symmetry. The sensitivity kernels depend on the parameterization choice. By comparing different parameterizations, we explain why the parameterization with the normal moveout velocity, the anellipitic parameter η, and the δ parameter is attractive when we invert diving and reflected events recorded in an active surface seismic experiment. I N T R O D U C T I O NThe recent improvements in seismic data acquisition, with large offsets and broad frequency content, and the resolution limitations associated with the high-frequency conventional traveltime tomography motivated the use of finitefrequency approaches in seismic inversion. Full-waveform inversion (Lailly 1983;Tarantola 1984) corresponds to the most general inversion schemes. The data misfit function, however, suffers from many local minima due to cycle skipping between modelled and observed data (Virieux and Operto 2009). The nonlinearity of the inversion problem is less *

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Section: Numerical Resultsmentioning

confidence: 99%