Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase.

By Roel Snieder. Physical review. E, Statistical, nonlinear, and soft matter physics, 2004

1,189 citations recorded by the source corpus.

Subfields: Geophysics, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/edcafc02f0b0d46a0bc7756e321dd2b55f206fe8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geophysics

In Ocean Engineering

Citations in the corpus

Ambient noise Rayleigh wave tomography across Europe (2007, background): “Surface wave tomography has proven particularly useful in imaging Earth’s crust and uppermost mantle on both regional and global scales.”
Interferometry by deconvolution. Part 1 -Theory for acoustic waves and numerical examples (2008, neutral): “Snieder !”
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).”
Shear wave imaging from traffic noise using seismic interferometry by cross-coherence (2011, background): “Even though theory requires sources all over ∂V, the extracted Green’s function is mostly determined by sources at stationary phase locations (Snieder, 2004; Snieder et al., 2006).”
On establishing the accuracy of noise tomography travel‐time measurements in a realistic medium (2009, methodology): “Using a stationary-phase approximation, Snieder (2004) and Snieder et al. (2006) have also demonstrated that the property holds for a uniform-velocity medium with locally isotropic noise, and that equipartitioning of modal energy is not required.”
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.”
Seismic and electromagnetic controlled‐source interferometry in dissipative media (2008, neutral): “The reflection response R̂+0 (x3,1, ω) is the response that would be measured with source and receiver at x3,1 and a homogeneous half-space above x3,1.”
P‐waves from cross‐correlation of seismic noise (2005, background): “When noise sources are uniformly distributed on both sides of the receivers, the correlation function is symmetric in time, showing both the impulse response and its time-reverse [Snieder, 2004; Roux et al., 2005].”
Reconstructing Green's function by correlation of the coda of the correlation (C3) of ambient seismic noise (2008, methodology): “, the ratio of amplitude of R over residual fluctuations, is evolving as the square root of the amount of data used in the cross correlation [Larose et al., 2004; Snieder, 2004; Sabra et al., 2005a; Weaver and Lobkis, 2005].”
A study of the seismic noise from its long-range correlation properties (2006, background): “…expected to be nearly symmetric in amplitude and in arrival time with its positive and negative parts corresponding to the Green function of the medium and its anticausal counterpart, respectively [e.g., Lobkis and Weaver, 2001; Van Tiggelen, 2003; Snieder, 2004; Sánchez-Sesma and Campillo, 2006].”
Extraction of near-surface properties for a lossy layered medium using the propagator matrix (2007, methodology): “…Kawakami & 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…”
On the limitations of interstation distances in ambient noise tomography (2014, methodology): “Following Bensen et al. (2007) and considering the far-field approximation in the interpretation of CCFs as EGF (e.g. Snieder 2004), most of ANT studies, however, still adopt the three-wavelength requirement to select CCFs for tomography.”