An interferometric theory of source-receiver scattering and imaging

Halliday, David; Curtis, Andrew

doi:10.1190/1.3486453

Cited by 52 publications

(70 citation statements)

References 36 publications

(37 reference statements)

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“…where Rðx S ; x R ; tÞ is the measured reflection response with ghosts and surface-related multiples removed and with the source wavelet deconvolved, Ã denotes temporal convolution, ∂D S represents the seismic acquisition surface datum, and the exact expression for which equation 2 is an approximation is given by Halliday and Curtis (2010) for acoustic media and Ravasi and Curtis (2013) for elastic media. The removal of free-surface multiples from R may be unnecessary if the method of Singh et al (2015) is used, although that is not attempted here.…”

Section: Methodsmentioning

confidence: 99%

Attenuating multiple-related imaging artifacts using combined imaging conditions

Filho

Curtis

2016

GEOPHYSICS

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The objective of prestack depth migration is to position reflectors at their correct subsurface locations. However, migration methods often also generate artifacts along with physical reflectors, which hamper interpretation. These spurious reflectors often appear at different spatial locations in the image depending on which migration method is used. Therefore, we have devised a postimaging filter that combines two imaging conditions to preserve their similarities and to attenuate their differences. The imaging filter is based on combining the two constituent images and their envelopes that were obtained from the complex vertical traces of the images. We have used the method to combine two images resulting from different migration schemes, which produce dissimilar artifacts: a conventional migration method (equivalent to reverse time migration) and a deconvolution-based imaging method. We show how this combination may be exploited to attenuate migration artifacts in a final image. A synthetic model containing a syncline and stochastically generated small-scale heterogeneities in the velocity and density distributions was used for the numerical example. We compared the images in detail at two locations where spurious events arose and also at a true reflector. We found that the combined imaging condition has significantly fewer artifacts than either constituent image individually.

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Section: Methodsmentioning

confidence: 99%

Attenuating multiple-related imaging artifacts using combined imaging conditions

Filho

Curtis

2016

GEOPHYSICS

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“…Recently, an explicit link has been established between seismic interferometry and reverse-time imaging in acoustic media (Curtis, 2009;Curtis and Halliday, 2010;Halliday and Curtis, 2010). This has allowed the wavefield-extrapolation step and various imaging conditions to be reinterpreted in terms of physical wavepropagation phenomena, and to be reformulated in a nonlinear fashion using representation theorems (Vasconcelos et al, 2009aHalliday and Curtis, 2010;Sava and Vasconcelos, 2011;Vasconcelos, 2011;Fleury and Vasconcelos, 2012).…”

Section: Introductionmentioning

confidence: 99%

“…This has allowed the wavefield-extrapolation step and various imaging conditions to be reinterpreted in terms of physical wavepropagation phenomena, and to be reformulated in a nonlinear fashion using representation theorems (Vasconcelos et al, 2009aHalliday and Curtis, 2010;Sava and Vasconcelos, 2011;Vasconcelos, 2011;Fleury and Vasconcelos, 2012). In this paper, we focus our attention on elastic migration by wavefield extrapolation (for example, by elastic RTM), and we use a correlationtype representation theorem in elastic media to identify a new set of true-amplitude, nonlinear ICs.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear scattering based imaging in elastic media: Theory, theorems, and imaging conditions

Ravasi

Curtis

2013

GEOPHYSICS

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With the more widespread introduction of multicomponent recording devices in land and marine ocean-bottom seismic acquisition, elastic imaging may become mainstream in coming years. We have derived new, nonlinear, elastic imaging conditions. A correlation-type representation theorem for perturbed elastic media, commonly used in seismic interferometry to explain how a scattered wave response between two receivers/ sources may be predicted given a boundary of sources/receivers, can be considered as a starting point for the derivation. Here, we use this theorem to derive and interpret imaging conditions for elastic migration by wavefield extrapolation (e.g., elastic reverse-time migration). Some approximations lead to a known, heuristically derived imaging condition that crosscorrelates P-and S-wave potentials that are separated in the subsurface after full-wavefield extrapolation. This formal connection reveals that the nonapproximated correlation-type representation theorem can be interpreted as a nonlinear imaging condition, that accounts also for multiply scattered and multiply converted waves, properly focusing such energy at each image point. We present a synthetic data example using either an ideal (acquisition on a full, closed boundary) or a real (partial boundary) seismic exploration survey, and we demonstrate the importance of nonlinearities in pure-and converted-mode imaging. In PP imaging, they result in better illumination and artifact reduction, whereas in PS imaging they show how zero time-lag and zero space-lag crosscorrelation imaging conditions are not ideal for imaging of converted-mode waves because no conversion arises from zero-offset experiments.

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“…Because Marchenko imaging involves redatuming of sources as well as receivers, it has an interesting relation with source-receiver interferometry, as proposed by Curtis and Halliday (2010) and Halliday and Curtis (2010). We analyze this relation for the Marchenko scheme for imaging from below.…”

Section: Comparison With Source-receiver Interferometrymentioning

confidence: 99%

Marchenko imaging

et al. 2014

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Traditionally, the Marchenko equation forms a basis for 1D inverse scattering problems. A 3D extension of the Marchenko equation enables the retrieval of the Green’s response to a virtual source in the subsurface from reflection measurements at the earth’s surface. This constitutes an important step beyond seismic interferometry. Whereas seismic interferometry requires a receiver at the position of the virtual source, for the Marchenko scheme it suffices to have sources and receivers at the surface only. The underlying assumptions are that the medium is lossless and that an estimate of the direct arrivals of the Green’s function is available. The Green’s function retrieved with the 3D Marchenko scheme contains accurate internal multiples of the inhomogeneous subsurface. Using source-receiver reciprocity, the retrieved Green’s function can be interpreted as the response to sources at the surface, observed by a virtual receiver in the subsurface. By decomposing the 3D Marchenko equation, the response at the virtual receiver can be decomposed into a downgoing field and an upgoing field. By deconvolving the retrieved upgoing field with the downgoing field, a reflection response is obtained, with virtual sources and virtual receivers in the subsurface. This redatumed reflection response is free of spurious events related to internal multiples in the overburden. The redatumed reflection response forms the basis for obtaining an image of a target zone. An important feature is that spurious reflections in the target zone are suppressed, without the need to resolve first the reflection properties of the overburden.

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An interferometric theory of source-receiver scattering and imaging

Cited by 52 publications

References 36 publications

Attenuating multiple-related imaging artifacts using combined imaging conditions

Attenuating multiple-related imaging artifacts using combined imaging conditions

Nonlinear scattering based imaging in elastic media: Theory, theorems, and imaging conditions

Marchenko imaging

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