Green's function representations for seismic interferometry

By Kees Wapenaar, Jacob T. Fokkema. 2006

752 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c79e30a511627e486c76473a47a61872b46a8344

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In Geophysics

Citations in the corpus

Body wave extraction and tomography at Long Beach, California, with ambient‐noise interferometry (2015, methodology): “Using this technique, we can extract Green’s functions between receivers [Lobkis and Weaver, 2001; Snieder, 2004; Wapenaar and Fokkema, 2006] and reveal velocity and attenuation structures [e.g., Shapiro et al., 2005; Lin et al., 2009; Lawrence and Prieto, 2011], as well as monitor subsurface media…”
Tutorial on seismic interferometry: Part 2 — Underlying theory and new advances (2010, methodology): “In that case, the Green’s functions on the left-hand side have a traction source at xA Wapenaar and Fokkema, 2006 .”
Internal multiple prediction and removal using marchenko autofocusing and seismic interferometry (2015, background): “…synthesize Green’s functions among real source or receiver locations by integrating crosscorrelations or convolutions of wavefields recorded by receivers or emanating from sources located elsewhere (Wapenaar, 2004; van Manen et al., 2005, 2006; Wapenaar and Fokkema, 2006; Slob and Wapenaar, 2007).”
Interferometry by deconvolution. Part 1 -Theory for acoustic waves and numerical examples (2008, background): “Wapenaar and Fokkema, 2006; Vasconcelos, 2007".”
Seismic interferometry by crosscorrelation and by multidimensional deconvolution: a systematic comparison (2010, background): “…operation ni∂ S i can be replaced by a pseudo-differential operator acting along Ssrc, or in the high-frequency approximation by multiplications with −jk | cos α|, where k = ω/c, and α is the angle between the relevant ray and the normal on S at the stationary points. when the ray angles are known.”
Seismic Wave Propagation and Scattering in the Heterogeneous Earth : Second Edition (2012, background): “17) can be proved by using the reciprocal theorem (de Hoop 1988; Wapenaar and Fokkema 2006).”
Shear wave imaging from traffic noise using seismic interferometry by cross-coherence (2011, methodology): “We can rewrite equation 5 as HAB ¼ GðrA; sÞG ðrB; sÞ jGðrA; sÞjjGðrB; sÞj ð6Þ because cross-coherence cancels the sourcewavelet termWðsÞ by division, as does deconvolution.”
Focusing the wavefield inside an unknown 1D medium: Beyond seismic interferometry (2012, neutral): “The fundamental equation to reconstruct the Green’s function is (Wapenaar and Fokkema, 2006) Gðz; zVS; tÞ þ Gðz; zVS;−tÞ ∝ X z 0¼zS1;zS2 Gðz; z 0; tÞ GðzVS; z 0;−tÞ; (1) where zVS ¼ 2.44 km, and zS1 and zS2 are the coordinates of impulsive sources located at both sides of the perturbation (a total…”