Preserved amplitude migration based on the one way wave equation in the angle domain

Ye, Yueming; Li, Zhenchun; Zhu, Xufeng; Zhao-qi, Tong

doi:10.1007/s11770-009-0004-3

Cited by 6 publications

(4 citation statements)

References 12 publications

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“…Although these conclusions are drawn under the condition that the depth-migrated image is produced by the Kirchhoff-type true amplitude migration operator, they remain true for the depth-migrated image produced by other migration operators, such as the operators published in Zhao et al (2005), Guo et al (2008), Liu et al (2009), andYe et al (2009). This is because all the types of migration processes are implemented as reflector-independent procedures and thus the corresponding output fields should be similar and comparable.…”

Section: Discussionmentioning

confidence: 94%

The stationary phase analysis of the Kirchhoff-type demigrated field

Sun

2010

Appl. Geophys.

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In the literature, stationary phase analysis of Kirchhoff-type demigrated fields is carried out mainly under the following two conditions: (1) The considered isochrone and the target reflector are tangential to each other; (2) The spatial duration of the wavelet of the depthmigrated image is short. For the isochrones that are not tangential to the target reflector and for the depth-migrated images that have a large spatial duration, the published stationary phase equation for the demigrated field will become invalid. For performing the stationary phase analysis of the Kirchhoff-type demigrated field under the conditions that the considered isochrone and the target reflector are not tangential to each other and that the spatial duration of the wavelet of the depth-migrated image is not short (the general conditions), I derive the formulas for the factors appearing in the stationary phase formula in two dimensions, from which I find that for different isochrones the horizontal coordinates of the stationary point of the depth difference function are different. Also, the equation for the Kirchhoff-type demigrated field consists of two parts. One is the true-amplitude demigrated signal and the other is the amplitude distortion factor. From these facts the following two conclusions can be drawn: (1) A demigrated signal is composed of many depth-migrated images and one depth-migrated image trace provides only one sample to the demigrated signal; and (2) The amplitude distortion effect is an effect inherent in the Kirchhoff-type demigration and cannot be eliminated during demigration. If this effect should be eliminated, one should do an amplitude correction after demigration.

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Section: Discussionmentioning

confidence: 94%

The stationary phase analysis of the Kirchhoff-type demigrated field

Sun

2010

Appl. Geophys.

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“…The one-way wavefi eld extrapolation migration generally includes two steps: the extrapolation of upgoing and downgoing wavefields and the imaging of the extrapolated wavefields. The conventional imaging condition refers to the zero time delay correlation imaging condition (Claerbout, 1985;Ye et al, 2009) (including that in time and frequency domain), which only take account of the travel times of the upgoing and downgoing wavefields without considering the spatial and propagation direction of extrapolated wavefields at imaging points (Sava, 2007), so it is easy to cause the migration diffractions seen in the imaged profile. In surface seismic exploration, there are hundreds of shot points and receivers, and their contribution to the illumination of subsurface target is considerable, which allows us to obtain good image results by stacking based on Claerbout's imaging condition without needing to consider the false diffraction effect.…”

Section: Migration Scheme For Imaging Offset Vsp Data Within Local Phmentioning

confidence: 99%

Migration scheme for imaging offset VSP data within local phase space

et al. 2010

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The imaging of offset VSP data in local phase space can improve the image of the subsurface structure near the well. In this paper, we present a migration scheme for imaging VSP data in a local phase space, which uses the Gabor-Daubechies tight framebased extrapolator (G-D extrapolator) and its high-frequency asymptotic expansion to extrapolate wavefi elds and also delineates an improved correlation imaging condition in the local angle domain. The results for migrating synthetic and real VSP data demonstrate that the application of the high-frequency G-D extrapolator asymptotic expansion can effectively decrease computational complexity. The local angle domain correlation imaging condition can be used to weaken migration artifacts without increasing computation.

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“…Some researchers have done a great deal of work in solving one-way true amplitude equations to produce satisfactory imaging results [23,24], for example, the beamlet propagator is combined with it [25]. As mentioned above, based on the achievements of one-way wave equation migration, the theories of approximation, such as Taylor expansion, are used to solve one-way true amplitude equations [26][27][28][29]. In order to solve the issue of the limited imaging angle, ref.…”

Section: Introductionmentioning

confidence: 99%

Amplitude-Preserved Wave Equation: An Example to Image the Gas Hydrate System

et al. 2021

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Natural gas hydrate is an important energy source. Therefore, it is extremely important to provide a clear imaging profile to determine its distribution for energy exploration. In view of the problems existing in conventional migration methods, e.g., the limited imaging angles, we proposed to utilize an amplitude-preserved one-way wave equation migration based on matrix decomposition to deal with primary and multiple waves. With respect to seismic data gathered at the Chilean continental margin, a conventional processing flow to obtain seismic records with a high signal-to-noise ratio is introduced. Then, the imaging results of the conventional and amplitude-preserved one-way wave equation migration methods based on primary waves are compared, to demonstrate the necessity of implementing amplitude-preserving migration. Moreover, a simple two-layer model is imaged by using primary and multiple waves, which proves the superiority of multiple waves in imaging compared with primary waves and lays the foundation for further application. For the real data, the imaging sections of primary and multiple waves are compared. We found that multiple waves are able to provide a wider imaging illumination while primary waves fail to illuminate, especially for the imaging of bottom simulating reflections (BSRs), because multiple waves have a longer travelling path and carry more information. By imaging the actual seismic data, we can make a conclusion that the imaging result generated by multiple waves can be viewed as a supplementary for the imaging result of primary waves, and it has some guiding values for further hydrate and in general shallow gas exploration.

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Preserved amplitude migration based on the one way wave equation in the angle domain

Cited by 6 publications

References 12 publications

The stationary phase analysis of the Kirchhoff-type demigrated field

The stationary phase analysis of the Kirchhoff-type demigrated field

Migration scheme for imaging offset VSP data within local phase space

Amplitude-Preserved Wave Equation: An Example to Image the Gas Hydrate System

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