Retrieving the elastodynamic Green's function of an arbitrary inhomogeneous medium by cross correlation.

By Kees Wapenaar. Physical Review Letters, 2004

892 citations recorded by the source corpus.

Subfields: Geophysics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/5c3c94744c8d0a49c84799ec3016ac3f0dff94e6

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In Geophysics

In Mechanics of Materials

Citations in the corpus

Multiscale full waveform inversion (2013, positive): “Intheidealisticcasewhereseismicnoiseisgenerated bysourcescoveringaclosedsurfacearoundeachreceiverpair,the correlationfunctionapproximatestheinterstationGreen’sfunction (e.g. Lobkis&Weaver2001;Wapenaar2004;Shapiro et al. 2005).”
Shear wave imaging from traffic noise using seismic interferometry by cross-coherence (2011, methodology): “Green’s function extraction can be derived from normal modes (Lobkis and Weaver, 2001), representation theorems (Wapenaar, 2004; Wapenaar and Fokkema, 2006), the principle of time reversal (Roux and Fink, 2003), and stationary phase analysis (Snieder et al., 2006).”
On establishing the accuracy of noise tomography travel‐time measurements in a realistic medium (2009, methodology): “We make the further assumption that, as in all other derivations of a noise-correlation property (e.g. Lobkis & Weaver 2001; Snieder 2004; Wapenaar 2004), the cross-correlation is performed over a sufficiently long time series that the cross-correlation is simply the sum of individual sinusoidal…”
Improved ambient noise correlation functions using Welch's method (2012, background): “…over a period of time, the Green’s function or impulse response between the two stations can be extracted, assuming that the noise source distribution is spatially homogeneous around the stations (e.g. Lobkis & Weaver 2001; Derode et al. 2003; Shapiro & Campillo 2004; Snieder 2004; Wapenaar 2004).”
Retrieval of the Green’s Function from Cross Correlation: The Canonical Elastic Problem (2006, background): “Wapenaar (2004) gives an interpretation based on a special kind of representation theorem and assumed a continuous distribution of sources on a closed surface surrounding the receivers.”
Analysis of ambient noise energy distribution and phase velocity bias in ambient noise tomography, with application to SE Tibet (2009, background): “…propagation between two receivers can be recovered from cross-correlation of ambient wavefields (e.g. Lobkis & Weaver 2001; Campillo & Paul 2003; Malcolm et al. 2004; Shapiro & Campillo 2004; Snieder 2004; Wapenaar 2004; Weaver & Lobkis 2004; Roux et al. 2005; Nakahara 2006; Wapenaar et al. 2006).”
Tutorial on seismic interferometry: Part 2 — Underlying theory and new advances (2010, methodology): “After that, we review exact Green’s function representations for seismic interferometry in arbitrary inhomogeneous, anisotropic lossless solids Wapenaar, 2004 and discuss the approximations that lead to the commonly used expressions.”
Empirical synthesis of time-asymmetrical Green functions from the correlation of coda waves (2005, background): “Wapenaar [2004] demonstrated the retrieval of the elastic Green tensor from surface displacement fields produced by a distribution of sources on a closed surface in the medium.”
Extraction of near-surface properties for a lossy layered medium using the propagator matrix (2007, methodology): “…& Haddadi 1998; Lobkis & Weaver 2001; Derode et al. 2003; Kawakami & Oyunchimeg 2003; Schuster et al. 2004; Shapiro & Campillo 2004; Snieder 2004; Wapenaar 2004; Shapiro et al. 2005; Wapenaar et al. 2005; Snieder et al. 2006a) is a technique based on combining signals recorded at different…”
P‐waves from cross‐correlation of seismic noise (2005, background): “…few years in various fields of wave physics such as ultrasonics [Weaver and Lobkis, 2001, 2004], underwater acoustics [Roux et al., 2004] and geophysics [Rickett and Claerbout, 1999; Campillo and Paul, 2003; Shapiro and Campillo, 2004; Wapenaar, 2004; Sabra et al., 2005a; Shapiro et al., 2005].”
Reconstructing Green's function by correlation of the coda of the correlation (C3) of ambient seismic noise (2008, background): “Other derivations [Wapenaar, 2004; Snieder, 2004; Sánchez-Sesma et al., 2006] of expressions like (1) make comparable assumptions about the field being correlated or about its source.”
Seismic imaging: From classical to adjoint tomography (2012, background): “Subsequent studies using reciprocity and scattered waves (Snieder, 2004; Wapenaar, 2004) led to increased confidence in tomographic maps under the assumption of ambient noise sources.”
Broadband ambient noise surface wave tomography across the United States (2008, methodology): “[1] This study presents surface wave dispersion maps across the contiguous United States determined using seismic ambient noise.”