Prestack migration deconvolution

Yu, Jianhua; Hu, Jianwen; Schuster, Gerard T.; Estill, Robert

doi:10.1190/1.2187783

Cited by 119 publications

(43 citation statements)

References 14 publications

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“…The resolution properties of seismic migration for a specific acquisition configuration are often expressed in terms of the pointspread function ͑or spatial resolution function͒, which is defined as the migration result of the response of a single point scatterer ͑Miller et al, 1987;Schuster and Hu, 2000;Gelius et al, 2002;Lecomte, 2008͒. Moreover, the point-spread function is sometimes used in migration deconvolution to improve spatial resolution ͑Hu et al, 2001;Yu et al, 2006͒. In both approaches, the linearized point scatterer model could be replaced by the nonlinear model of equation 28 to obtain a more accurate point-spread function.…”

Section: Discussionmentioning

confidence: 99%

On seismic interferometry, the generalized optical theorem, and the scattering matrix of a point scatterer

2010

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We have analyzed the far-field approximation of the Green's function representation for seismic interferometry. By writing each of the Green's functions involved in the correlation process as a superposition of a direct wave and a scattered wave, the Green's function representation is rewritten as a superposition of four terms. When the scattered waves are modeled with the Born approximation, it appears that a three-term approximation of the Green's function representation ͑omitting the term containing the crosscorrelation of the scattered waves͒ yields a nearly exact retrieval, whereas the full four-term expression leads to a significant nonphysical event. This is because the Born approximation does not conserve energy and therefore is an insufficient model to explain all aspects of seismic interferometry. We use the full fourterm expression of the Green's function representation to derive the generalized optical theorem. Unlike other recent derivations, which use stationary phase analysis, our derivation uses reciprocity theory. From the generalized optical theorem, we derive the nonlinear scattering matrix of a point scatterer. This nonlinear model accounts for primary and multiple scattering at the point scatterer and conforms with well-established scattering theory of classical waves. The model is essential to explain fully the results of seismic interferometry, even when it is applied to the response of a single point scatterer. The nonlinear scattering matrix also has implications for modeling, inversion, and migration.

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Section: Discussionmentioning

confidence: 99%

On seismic interferometry, the generalized optical theorem, and the scattering matrix of a point scatterer

2010

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“…Interferometry by multidimensional deconvolution as such can be compared with migration deconvolution (Hu et al, 2001;Yu et al, 2006;Zhang and Ulrych, 2010). Such an analogy is also pointed out by Vasconcelos et al (2010), who present an imaging condition for oneway wavefields that is very similar to equation 4.…”

Section: Discussionmentioning

confidence: 83%

Controlled-source interferometric redatuming by crosscorrelation and multidimensional deconvolution in elastic media

et al. 2011

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Various researchers have shown that accurate redatuming of controlled seismic sources to downhole receiver locations can be achieved without requiring a velocity model. By placing receivers in a horizontal or deviated well and turning them into virtual sources, accurate images can be obtained even below a complex near-subsurface. Examples include controlled-source interferometry and the virtualsource method, both based on crosscorrelated signals at two downhole receiver locations, stacked over source locations at the surface. Because the required redatuming operators are taken directly from the data, even multiple scattered waveforms can be focused at the virtual-source location, and accurate redatuming can be achieved. To reach such precision in a solid earth, representations for elastic wave propagation that require multicomponent sources and receivers must be implemented. Wavefield decomposition prior to crosscorrelation allows us to enforce virtual sources to radiate only downward or only upward. Virtual-source focusing and undesired multiples from the overburden can be diagnosed with the interferometric point-spread function (PSF), which can be obtained directly from the data if an array of subsurface receivers is deployed. The quality of retrieved responses can be improved by filtering with the inverse of the PSF, a methodology referred to as multidimensional deconvolution.

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“…Therefore, a variety of approximations have been made to improve the migration images by approximating the inverse Hessian matrix with a fully populated inverse matrix (Hu et al, 2001;Guitton, 2004;Plessix and Mulder, 2004;Yu et al, 2006;Aoki and Schuster, 2009;Wang and Yang, 2010). The simplest approximation is the reciprocal of the diagonal matrix (Beydoun and Mendes, 1989;Rickett, 2003) that is applied to the image to compensate for uneven illumination.…”

Section: Introductionmentioning

confidence: 99%

“…To reduce computational cost, Hu et al (2001) and Yu et al (2006) In this chapter, I propose an efficient multisource least-squares reverse time migration algorithm for a VTI medium and test it on synthetic traces generated for the 2D HESS VTI and 3D SEG/EAGE salt models. The acquisition geometries are for land data, and the application to marine data geometries requires a different phase encoding scheme (Huang and Schuster, 2012b).…”

Section: Introductionmentioning

confidence: 99%

Multi‐source least‐squares reverse time migration

Dai

Fowler²,

Schuster

2012

Geophysical Prospecting

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288

109

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Least‐squares migration has been shown to improve image quality compared to the conventional migration method, but its computational cost is often too high to be practical. In this paper, we develop two numerical schemes to implement least‐squares migration with the reverse time migration method and the blended source processing technique to increase computation efficiency. By iterative migration of supergathers, which consist in a sum of many phase‐encoded shots, the image quality is enhanced and the crosstalk noise associated with the encoded shots is reduced. Numerical tests on 2D HESS VTI data show that the multisource least‐squares reverse time migration (LSRTM) algorithm suppresses migration artefacts, balances the amplitudes, improves image resolution and reduces crosstalk noise associated with the blended shot gathers. For this example, the multisource LSRTM is about three times faster than the conventional RTM method. For the 3D example of the SEG/EAGE salt model, with a comparable computational cost, multisource LSRTM produces images with more accurate amplitudes, better spatial resolution and fewer migration artefacts compared to conventional RTM. The empirical results suggest that multisource LSRTM can produce more accurate reflectivity images than conventional RTM does with a similar or less computational cost. The caveat is that the LSRTM image is sensitive to large errors in the migration velocity model.

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Prestack migration deconvolution

Cited by 119 publications

References 14 publications

On seismic interferometry, the generalized optical theorem, and the scattering matrix of a point scatterer

On seismic interferometry, the generalized optical theorem, and the scattering matrix of a point scatterer

Controlled-source interferometric redatuming by crosscorrelation and multidimensional deconvolution in elastic media

Multi‐source least‐squares reverse time migration

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