Physics
Scientific paper
May 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003pepi..137...45h&link_type=abstract
Physics of the Earth and Planetary Interiors, Volume 137, Issue 1-4, p. 45-65.
Physics
1
Scientific paper
Seismic ground motions in the far field are often modeled using the representation, Oij(f)=RθϕSi(f)Gj(f)Tij(f), for frequencies larger than 1Hz, where Oij(f), Si(f), Gj(f) and Tij(f) represent the seismic wave spectrum from event i observed at site j, source characteristics of event i, site amplification factor at site j and path factor between event i and site j, respectively, and Rθϕ represents the seismic radiation pattern and f is frequency of seismic waves. Using the representation, some authors have estimated relative source powers, site amplification factors or attenuation (Q-1 values) and discussed quantitative differences without considering the intrinsic uncertainty of the representation. Spectral ratios of closely located pairs of events having similar radiation pattern observed at common recording site are examined to evaluate how much the uncertainty is, where the spectral ratios are expected to be independent of the difference of sites. Some event pairs show that the spectral ratios are almost independent of the difference of the sites as is expected, but some pairs show quite large variations depending on the azimuth of the site. The large variation means that we should expect the uncertainty (variation) of several times even when the above representation is used. The variation is remarkably large for frequencies near the corner frequency, and small for low and high frequency. We will examine the azimuthal dependence on the spectral rations to see if there is an effect of the source directivity. The observed frequency dependence of the variation cannot be accounted for by a smooth rupture propagation, but can be accounted for by introducing fluctuations in the slip velocity time function.
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