The influence of noise sources on cross-correlation amplitudes

Shravan Hanasoge

    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

    Fingerprint

    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

    Hanasoge, Shravan. / The influence of noise sources on cross-correlation amplitudes. In: Geophysical Journal International. 2013 ; Vol. 192, No. 1. pp. 295-309.
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