Retrieving the Green's Function From Cross Correlation in a Bianisotropic Medium

Slob, Evert; Wapenaar, Kees

doi:10.2528/pier09041004

Cited by 10 publications

(8 citation statements)

References 43 publications

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“…Claerbout (1968) concludes that the 1D autocorrelation of transmission responses would yield the reflection response (using 1D reciprocity theorems) and conjectures an extension to three dimensions by crosscorrelations. This was formally proven for the elastodynamic case by Lobkis and Weaver (2001) and Weaver and Lobkis (2002) based on normal mode expansions and by Wapenaar (2003Wapenaar ( , 2004 and Wapenaar and Fokkema (2006) using 3D reciprocity theorems. of the transmission response at an exploration scale.…”

Section: Introductionmentioning

confidence: 98%

Ambient seismic noise tomography at Ekofisk

Ridder

Biondi

2015

GEOPHYSICS

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We have studied an approximately 40-hr recording from the Life of Field Seismic array installed over Ekofisk field to assess whether the recorded ambient seismic energy was suitable for passive seismic surface-wave interferometry. Passive seismic interferometry aims to retrieve virtual seismic sources by crosscorrelation. We have found that the noise recorded by the pressure sensors between 0.4 and 1.4 Hz consisted predominantly of Scholte-wave microseism energy. The noise incidence directions have an almost uniform distribution over the azimuth, enabling the synthesis of nearly symmetric estimated Green's functions between all stations in the array that formed virtual seismic sources. These sources were dominated by Scholte waves traveling along the seafloor, and we sought to determine which features in the subsurface can be imaged by straight-ray group-velocity tomography. We located a high-velocity anomaly in the center of Ekofisk's production-induced subsidence bowl, surrounded by lower velocities. This pattern seemed to result from production-induced seafloor subsidence that altered the near-surface shear strengths. A dispersion analysis showed that the Scholtewave virtual seismic source exhibited an approximate penetration depth to 600 m below the seafloor. These results are significant because they demonstrated that recordings made at the oceanbottom cable array at Ekofisk field in the absence of seismic shooting can be used to image and monitor the near surface.

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Section: Introductionmentioning

confidence: 98%

Ambient seismic noise tomography at Ekofisk

Ridder

Biondi

2015

GEOPHYSICS

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“…We estimate that differential form language, combined with tangent bundle (in particular, Riemann-Finsler) geometry methods could also offer a very useful tool for the study of topical problems (e.g., in [24,25,29]) of electromagnetics in anisotropic media.…”

Section: Resultsmentioning

confidence: 99%

On the Fundamental Equations of Electromagnetism in Finslerian Spacetimes

Voicu¹

2011

PIER

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“…In each of these cases the boundary integral vanishes. We thus obtain (Slob & Wapenaar 2009;Willis 2012)…”

Section: And Its Adjointmentioning

confidence: 98%

Unified wave field retrieval and imaging method for inhomogeneous non-reciprocal media

Wapenaar

Reinicke

2019

The Journal of the Acoustical Society of America

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Acoustic imaging methods often ignore multiple scattering. This may lead to false images in cases where multiple scattering is strong. Marchenko imaging has recently been introduced as a datadriven way to deal with internal multiple scattering. Promising results have been obtained with geophysical and ultrasonic data. Given the increasing interest in non-reciprocal materials, both for acoustic and electromagnetic applications, we propose to modify the Marchenko method for imaging of such materials.We start by formulating a unified wave equation for non-reciprocal materials, exploiting the similarity between acoustic and electromagnetic wave phenomena. This unified wave equation forms the basis for deriving reciprocity theorems that interrelate wave fields in a non-reciprocal medium and its adjoint. Next, we reformulate these theorems for downgoing and upgoing wave fields. From these decomposed reciprocity theorems we derive representations of the Green's function inside the non-reciprocal medium, in terms of the reflection response at the surface and focusing functions inside the medium and its adjoint. These representations form the basis for deriving a modified version of the Marchenko method for imaging of non-reciprocal media. We illustrate the proposed method at the hand of the numerically modeled reflection response of a horizontally layered medium.The appendices contain a detailed derivation of the unified wave equation for non-reciprocal media and the decomposition of the reciprocity theorems.

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Retrieving the Green's Function From Cross Correlation in a Bianisotropic Medium

Cited by 10 publications

References 43 publications

Ambient seismic noise tomography at Ekofisk

Ambient seismic noise tomography at Ekofisk

On the Fundamental Equations of Electromagnetism in Finslerian Spacetimes

Unified wave field retrieval and imaging method for inhomogeneous non-reciprocal media

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