1999
DOI: 10.1190/1.1438420
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Acoustic daylight imaging via spectral factorization: Helioseismology and reservoir monitoring

Abstract: SUMMARYThe acoustic time history of the sun's surface is a stochastic t¡ x¡ y¢ -cube of information. Helioseismologists cross-correlate these noise traces to produce impulse response seismograms, providing the proof of concept for a long-standing geophysical conjecture. We pack the x¡ y¢ -mesh of time series into a single super-long one-dimensional time series. We apply Kolmogoroff spectral factorization to the supertrace, unpack, and find the multidimensional acoustic impulse response of the sun. State-of-the… Show more

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Cited by 206 publications
(83 citation statements)
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“…[6] Cross-correlation function C(x 1 ,x 2 ,t) of time series of random diffuse noise p(x,t) recorded at points x 1 and x 2 is theoretically predicted to reproduce wavefronts of the sum of two deterministic Green's functions (impulse responses of the medium): a field G(x 2 ,x 1 ,t) radiated by a point source at x 1 and received at x 2 and G(x 1 ,x 2 ,−t); that is, time reversal of the field propagating from x 2 to x 1 [Rickett and Claerbout, 1999;Godin, 2006;Wapenaar et al, 2008]. For the wavefronts' reproduction, unlike reproduction of the exact Green's functions, the noise field is not required to be perfectly diffuse (i.e., isotropic and spatially uniform) [Snieder, 2004;Godin, 2006]; noise sources are not required to be delta-correlated or motionless [Godin, 2009a].…”
Section: Noise Cross-correlation Functionmentioning
confidence: 99%
See 1 more Smart Citation
“…[6] Cross-correlation function C(x 1 ,x 2 ,t) of time series of random diffuse noise p(x,t) recorded at points x 1 and x 2 is theoretically predicted to reproduce wavefronts of the sum of two deterministic Green's functions (impulse responses of the medium): a field G(x 2 ,x 1 ,t) radiated by a point source at x 1 and received at x 2 and G(x 1 ,x 2 ,−t); that is, time reversal of the field propagating from x 2 to x 1 [Rickett and Claerbout, 1999;Godin, 2006;Wapenaar et al, 2008]. For the wavefronts' reproduction, unlike reproduction of the exact Green's functions, the noise field is not required to be perfectly diffuse (i.e., isotropic and spatially uniform) [Snieder, 2004;Godin, 2006]; noise sources are not required to be delta-correlated or motionless [Godin, 2009a].…”
Section: Noise Cross-correlation Functionmentioning
confidence: 99%
“…In an inhomogeneous fluid, sound speed and fluid velocity fields can be retrieved from cross-correlations of noise measured at a sufficient number of points [Rickett and Claerbout, 1999;Godin, 2006]. Compared to well-established seismic interferometry [Wapenaar et al, 2008], passive ocean acoustic tomography faces a number of unique challenges, including time-dependence of the environment, motion of receivers and the medium, and requirements of very high relative accuracy of measurements of the sound speed in water.…”
Section: Introductionmentioning
confidence: 99%
“…First progress was accomplished in the seismic exploration field (e.g., BASKIR and WELLER, 1975;COLE, 1995;RICKETT, 2001). Later, the idea was extended to coda waves and noise records (NIKOLAEV and TROITSKIY, 1987), and to solar seismology (DUVALL et al, 1993;RICKETT and CLAERBOUT, 1999). In recent years, a few papers have presented theoretical demonstrations of the relation between the temporal correlation of noise records at two stations and the Green's function of the medium LOBKIS, 2001, 2004;ROUX et al, 2004;SABRA et al, 2005a, b;SA´NCHEZ-SESMA and CAMPILLO, 2006).…”
Section: Methodsmentioning
confidence: 99%
“…Applications of SI exist for exploration data with controlled sources (Schuster et al, 2004;Bakulin et al, 2004Bakulin et al, , 2006Wapenaar, 2006), as well as for passive data due to natural sources (Rickett and Claerbout, 1999;Wapenaar et al, 2002;Draganov et al, 2007). For a cross-discipline overview, we refer the readers to the Geophysics Reprint Series about SI (Wapenaar et al (editors), 2008), which also contains contributions from authors from other disciplines.…”
Section: Introductionmentioning
confidence: 99%