Effect of Intrinsic Losses on Seismic Interferometry

Draganov, D.; Ghose, Ranajit; Ruigrok, Elmer; Thorbecke, Jan; Wapenaar, Kees

doi:10.3997/2214-4609.20147733

Cited by 3 publications

(3 citation statements)

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“…However, our analysis reveals a difference between the previous approach of Snieder et al (2006) for singly reflected body waves and that for scattered surface waves: in addition to these physical terms (eqs and in ), there are also non‐physical terms associated with T2 and T3 , which are introduced in the case of scattered waves (eqs and in ). Such non‐physical terms are often referred to as spurious arrivals and have previously been observed in applications of interferometry in the presence of multiple reflections, where source distribution is insufficient, the recording time is not long enough and in the presence of losses (Snieder et al 2006; Draganov et al 2008; Ruigrok et al 2008). In the lossless case, these arrivals are destructively cancelled by including the second‐order term T4 .…”

Section: Stationary Phase Analysis For Scattered Surface Wavesmentioning

confidence: 99%

“…Hargreaves & Calvert 1991; Wang 2002). Application of such methods prior to interferometric processing may allow for enhanced recovery of the higher frequency surface waves, for example, Draganov et al (2008) identify non‐physical arrivals in seismic interferometry and estimate a damping factor, which when applied to the data prior to interferometry allows for the elimination of the non‐physical arrivals.…”

Section: Attenuationmentioning

confidence: 99%

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Seismic interferometry of scattered surface waves in attenuative media

Halliday¹,

Curtis²

2009

Geophysical Journal International

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S U M M A R YSeismic interferometry can be used to estimate interreceiver surface wave signals by crosscorrelation of signals recorded at each receiver that are emitted from a surrounding boundary of impulsive or uncorrelated noise sources. We study seismic interferometry for scattered surface waves using a stationary-phase analysis and surface wave Green's functions for isotropic point scatterers embedded in laterally homogeneous media. Our analysis reveals key differences between the interferometric construction of reflected and point-scattered body or surface waves, since point scatterers radiate energy in all directions but a reflection from a finite flat reflector is specular. In the case of surface waves, we find that additional cancelling terms are introduced in the stationary-phase analysis for scattered waves related to the constraint imposed by the optical theorem for surface waves. The additional terms are of second order even for single-scattered waves, and we show that these can be highly significant in multiple-scattering cases. In attenuative media errors are introduced due to amplitude errors in these additional terms. Further, we find that as the distribution of scatterers in a medium becomes more complex the errors in correlation-type interferometry caused by attenuation in the background medium become larger. Convolution-type interferometry has been shown to be effective when considering electromagnetic wavefields in lossy media, and we show that this is also true for scattered surface waves in attenuating elastic media. By adapting our stationary-phase approach to this case, we reveal why convolution-type interferometry performs well in such media: the second-order cancelling terms that appear in the correlation-type approach do not appear in convolution-type interferometry. Finally, we find that when using both correlationand convolution-type interferometry with realistic source geometries (illustrative of both industrial seismics and 'passive noise' interferometry), we cannot necessarily expect to produce estimates with all dominant scattering events present. This is shown to be especially important if, as proposed previously for electromagnetic applications, the convolution and correlation approaches are compared to help identify errors in the interferometric estimates.

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Section: Stationary Phase Analysis For Scattered Surface Wavesmentioning

confidence: 99%

Section: Attenuationmentioning

confidence: 99%

Seismic interferometry of scattered surface waves in attenuative media

Halliday¹,

Curtis²

2009

Geophysical Journal International

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“…Doing so, the reflection response of the crust and upper mantle can be retrieved. Since a lossless medium is assumed for equation 1, the transmission responses need to be corrected for inelastic losses before crosscorrelation (Draganov et al, 2008).…”

Section: Theorymentioning

confidence: 99%

Sampling and Illumination Aspects of Seismic Interferometry in Horizontally Layered Media

Thorbecke¹,

Wapenaar²

2008

70th EAGE Conference and Exhibition Incorporating SPE EUROPEC 2008

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Seismic Green's function retrieval or seismic interferometry (SI) refers to the principle of generating new seismic responses by crosscorrelating seismic observations at different receiver locations. We consider retrieving a reflection response between receivers at an (approximately) horizontally layered medium. Only transmission responses due to sources that are, in a Fresnel sense, inline with the receivers are needed as an input for the SI relation. The sampling criterion for the sources is much more relaxed than Nyquist. Sources at the edges of the source distribution will cause distortion of the retrieved reflections or even spurious events. Based on a tau-p transform of the transmission responses, a filter can be designed to remove kinematically wrong events from the retrieved results.

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