Journal Article

The influence of noise sources on cross-correlation amplitudes

Shravan M. Hanasoge

in Geophysical Journal International

Volume 192, issue 1, pages 295-309
Published in print January 2013 | ISSN: 0956-540X
Published online October 2012 | e-ISSN: 1365-246X | DOI: http://dx.doi.org/10.1093/gji/ggs015
The influence of noise sources on cross-correlation amplitudes

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We use analytical examples and asymptotic forms to examine the mathematical structure and physical meaning of the seismic cross-correlation measurement. We show that in general, cross correlations are not Green's functions of medium, and may be very different depending on the source distribution. The modelling of noise sources using spatial distributions as opposed to discrete collections of sources is emphasized. When stations are illuminated by spatially complex source distributions, cross correlations show arrivals at a variety of time lags, from zero to the maximum surface-wave arrival time. Here, we demonstrate the possibility of inverting for the source distribution using the energy of the full cross-correlation waveform. The interplay between the source distribution and wave attenuation in determining the functional dependence of cross-correlation energies on station-pair distance is quantified. Without question, energies contain information about wave attenuation. However, the accurate interpretation of such measurements is tightly connected to the knowledge of the source distribution.

Keywords: Theoretical seismology; Wave propagation; Wave scattering and diffraction

Journal Article.  8548 words.  Illustrated.

Subjects: Geophysics

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