On seismic ambient noise cross-correlation and surface-wave attenuation: + erratum

Lapo Boschi*, Fabrizio Magrini, Fabio Cammarano, M. Van der Meijde

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

9 Citations (Scopus)
208 Downloads (Pure)


We derive a theoretical relationship between the cross correlation of ambient Rayleigh waves (seismic ambient noise) and the attenuation parameter α associated with Rayleigh-wave propagation. In particular, we derive a mathematical expression for the multiplicative factor relating normalized cross correlation to the Rayleigh-wave Green?s function. Based on this expression, we formulate an inverse problem to determine α from cross correlations of recorded ambient signal. We conduct a preliminary application of our algorithm to a relatively small instrument array, conveniently deployed on an island. In our setup, the mentioned multiplicative factor has values of about 2.5-3, which, if neglected, could result in a significant underestimate of α. We find that our inferred values of α are reasonable, in comparison with independently obtained estimates found in the literature. Allowing α to vary with respect to frequency results in a reduction of misfit between observed and predicted cross correlations.

Original languageEnglish
Pages (from-to)1568-1589
Number of pages22
JournalGeophysical journal international
Issue number3
Early online date21 Aug 2019
Publication statusPublished - Dec 2019


  • seismic attenuation
  • seismic interferometry
  • seismic noise
  • surface waves and free oscillations
  • theoretical seismology


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