The influence of noise sources on cross-correlation amplitudes

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)295-309
Number of pages15
JournalGeophysical Journal International
Volume192
Issue number1
DOIs
StatePublished - Mar 26 2013

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cross correlation
Green's function
wave attenuation
Surface waves
Spatial distribution
energy
arrivals
stations
Green function
arrival time
surface wave
distribution
spatial distribution
surface waves
waveforms
Green's functions
time lag
attenuation
modeling
station

Keywords

  • Theoretical seismology
  • Wave propagation
  • Wave scattering and diffraction

ASJC Scopus subject areas

  • Geophysics
  • Geochemistry and Petrology

Cite this

The influence of noise sources on cross-correlation amplitudes. / Hanasoge, Shravan.

In: Geophysical Journal International, Vol. 192, No. 1, 26.03.2013, p. 295-309.

Research output: Contribution to journalArticle

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