Global acoustic daylight imaging in a stratified Earth-like model. (13th December 2017)

• Record Type: Journal Article
• Authors: de Hoop, Maarten V; Garnier, Josselin; Sølna, Knut
• Is Part Of: Inverse problems. Volume 34:Number 1(2018:Jan.)
• Publication Date: 2017-12-13
• Subjects: passive imaging -- noise sources -- seismology -- sensor array imaging; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aa9ad7
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: We present an analysis of acoustic daylight imaging in an Earth-like model assuming a random distribution of noise sources spatially supported in an annulus located away from the surface. We assume a situation with scalar wave propagation and that the measurements are of the wave field at the surface. Then, we obtain a relation between the autocorrelation function of the measurements and the trace of the scattered field generated by an impulsive source localized just below the surface. From this relation it is, for example, clear that the eigenfrequencies can be recovered from the autocorrelation. Moreover, the complete scattering operator can be extracted under the additional assumption that the annulus is close to the surface and has a thickness smaller than the typical wavelength.