Determination of surface-wave phase velocities across USArray from noise and Aki's spectral formulation

Details Determination of surface-wave phase velocities across USArray from noise and Aki's spectral formulation Determination of surface-wave phase velocities across USArray from noise and Aki's spectral formulation

Sep 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009georl..3618301e&link_type=abstract

Geophysical Research Letters, Volume 36, Issue 18, CiteID L18301

Statistics

Computation

9

Seismology: Surface Waves And Free Oscillations, Seismology: Tomography (6982, 8180), Seismology: Computational Seismology

Scientific paper

We use expressions for the cross-correlation of stochastic surface waves originally derived by Aki (1957) to develop an algorithm for determining inter-station phase-velocity measurements from continuous seismic data. In the frequency domain, the cross correlation of azimuthally isotropic noise is described by a Bessel function, and we associate zeros in the observed spectrum with zeros of the Bessel function to obtain phase-velocity estimates at discrete frequencies. Phase velocities derived in this way at several frequencies are joined to form a dispersion curve, which is then sampled to obtain phase-velocity estimates at arbitrary frequencies. We collect a set of dispersion curves for more than 30,000 station pairs of the transportable component of USArray, and derive Rayleigh wave phase-velocity maps at periods of 12 and 24 s for the western United States. The spectral method lends itself well to automation, and avoids limitations at short inter-station distances associated with time-domain methods.

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