Adaptive spatial-division split-step fourier migration method

Zhao, Jun; Zhang, Shulun; Wang, Changlong; Ni, Yi

doi:10.1007/s11770-005-0035-3

Cited by 2 publications

(2 citation statements)

References 7 publications

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“…The wave‐equation‐based methods consist of one‐way wave‐equation‐based migration methods (phase‐shift migration, Fourier finite difference method, split‐step Fourier method, etc.) (Stoffa et al ., 1990; Zhao et al ., 2005; Alkhalifah, 2010; Sun et al ., 2010) and reverse time migration (Baysal et al ., 1983; Guitton et al ., 2007). The one‐way wave‐equation‐based migration methods produce images superior to that of the ray‐based methods, but they are unable to solve the imaging problem of steeply inclined structures.…”

Section: Introductionmentioning

confidence: 99%

Reverse time migration with Gaussian beams using optimized ray tracing systems in transversely isotropic media

Liu

Xiao

et al. 2021

Geophysical Prospecting

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Prestack depth migration is a key technology for imaging complex reservoirs in media with strong lateral velocity variations. Prestack migrations are broadly separated into ray-based and wave-equation-based methods. Because of its efficiency and flexibility, ray-based Kirchhoff migration is popular in the industry. However, it has difficulties in dealing with the multi-arrivals, caustics and shadow zones. On the other hand, waveequation-based methods produce images superior to that of the ray-based methods, but they are expensive numerically, especially methods based on two-way propagators in imaging large regions. Therefore, reverse time migration algorithms with Gaussian beams have recently been proposed to reduce the cost, as they combine the high computational efficiency of Gaussian beam migration and the high accuracy of reverse time migration. However, this method was based on the assumption that the subsurface is isotropic. As the acquired azimuth and maximum offsets increase, taking into account the influence of anisotropy on seismic migration is becoming more and more crucial. Using anisotropic ray tracing systems in terms of phase velocity, we proposed an anisotropic reverse time migration using the Gaussian beams method. We consider the influence of anisotropy on the propagation direction and calculate the amplitude of Gaussian beams with optimized correlation coefficients in dynamic ray tracing, which simplifies the calculations and improves the applicability of the proposed method. Numerical tests on anisotropic models demonstrate the efficiency and accuracy of the proposed method, which can be used to image complex structures in the presence of anisotropy in the overburden.

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Section: Introductionmentioning

confidence: 99%

Reverse time migration with Gaussian beams using optimized ray tracing systems in transversely isotropic media

Liu

Xiao

et al. 2021

Geophysical Prospecting

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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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Adaptive spatial-division split-step fourier migration method

Cited by 2 publications

References 7 publications

Reverse time migration with Gaussian beams using optimized ray tracing systems in transversely isotropic media

Reverse time migration with Gaussian beams using optimized ray tracing systems in transversely isotropic media

The stationary phase analysis of the Kirchhoff-type demigrated field

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