2003
DOI: 10.1190/1.1620649
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Synthesis of an inhomogeneous medium from its acoustic transmission response

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Cited by 113 publications
(95 citation statements)
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“…Rickett and Claerbout (1999) summarised the application of noise crosscorrelation in helioseismology and thus conjectured for the Earth that ''by cross-correlating noise traces recorded at two locations on the surface, we can construct the wave-field that would be recorded at one of the locations if there was a source at the other'' (Rickett and Claerbout, 1999). The conjecture was finally proven mathematically by Wapenaar (2003Wapenaar ( , 2004, Snieder (2004) and van-Manen et al (2005) for acoustic media, by van-Manen et al (2006) and Wapenaar and Fokkema (2006) for elastic media, and was demonstrated in laboratory experiments by Lobkis and Weaver (2001), Weaver and Lobkis (2001), Derode et al (2003) and Larose et al (2005). Thereafter these methods became common practise in seismology.…”
Section: Historical Backgroundmentioning
confidence: 97%
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“…Rickett and Claerbout (1999) summarised the application of noise crosscorrelation in helioseismology and thus conjectured for the Earth that ''by cross-correlating noise traces recorded at two locations on the surface, we can construct the wave-field that would be recorded at one of the locations if there was a source at the other'' (Rickett and Claerbout, 1999). The conjecture was finally proven mathematically by Wapenaar (2003Wapenaar ( , 2004, Snieder (2004) and van-Manen et al (2005) for acoustic media, by van-Manen et al (2006) and Wapenaar and Fokkema (2006) for elastic media, and was demonstrated in laboratory experiments by Lobkis and Weaver (2001), Weaver and Lobkis (2001), Derode et al (2003) and Larose et al (2005). Thereafter these methods became common practise in seismology.…”
Section: Historical Backgroundmentioning
confidence: 97%
“…Hence, the resulting signal will approximate the Green's function between r 1 and r 2 , as if one of the receivers had actually been a source (Fig. 1b) (Wapenaar, 2003(Wapenaar, , 2004. We therefore refer to this Green's function as a seismogram from a ''virtual'' (imaginary) source at the location of one of the receivers (r 1 ).…”
Section: Theory and Methods Of Seismic Interferometrymentioning
confidence: 99%
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“…The crosscorrelation approach has been applied successfully to helioseismic data [12,14]. Recently Claerbout's conjecture has been proven by the author [15,16]. The proof also explains the empirical observations of the numerical modeling studies.…”
mentioning
confidence: 89%
“…The main underlying assumption is that the ambient noise field is equipartitioned, that is, that the energy current is equal in all directions (Weaver & Lobkis 2001;Wapenaar 2003;Snieder 2004;Roux et al 2004). Fortunately this strong assumption can be relaxed in many situations.…”
Section: Theorymentioning
confidence: 99%