Geometrical spreading function for short-period S and coda waves recorded in southern Spain

Physics

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Scientific paper

Two methods to estimate the geometrical spreading factor n are described; the first is applied to S waves recorded at various distances from the source, whereas the second is applied to coda waves. The direct S-wave method is a new technique which provides the geometrical spreading factor independently of the quality factor Q. This method is based on the double spectral ratio. The coda method provides the geometrical spreading factor along with the Q value. To check their reliability, these methods are applied to real data (from the Andalusian Seismic Network) and to synthetic data. The synthetic test of the coda method indicates that this method to obtain n must not be used to calculate the attenuation factor Q. The results obtained with real data show a geometrical spreading coefficient that is greater than unity and slightly frequency dependent. For S waves, the following frequency dependence was obtained: n=(1.19 +/- 0.14)+(0.052 +/- 0.007)ƒ; and for coda waves, n=1.33 +/- 0.19 at 1.5 Hzn=1.57 +/- 0.19 at 3 Hzn=1.29 +/- 0.24 at 6 Hz
The results obtained in this paper (n > 1) suggest a velocity increase with depth and/or strong lateral inhomogeneities which modify the wavefront geometry.

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