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   "name": "Decay of S\u2010wave amplitudes with distance for earthquakes in the Charlevoix, Quebec, area: Effects of radiation pattern and directivity",
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   "abstract": "The decay of the Fourier spectral amplitudes of\u00a0S\u00a0waves over distances of 10\u201380\u00a0km near Charlevoix, Quebec, was determined using waveforms from seven earthquakes with\u00a0MN\u00a03.3\u20135.4. The\u00a0S\u2010wave spectral amplitudes were corrected for site response and source amplitude by normalizing the coda\u2010wave spectrum at a fixed time after the origin time. The amplitude decay with distance was found to be less steep as the frequency increases from 1 to 14, contrary to what would be expected from anelastic and scattering attenuation for a point source with an isotropic radiation pattern. The decay at 14\u00a0Hz indicates that the geometrical spreading at distances less than 80\u00a0km is less steep than\u00a0R\u22121.05. The steeper distance decay of the low\u2010frequency spectrum appears to be an artifact of the radiation pattern and rupture directivity, which affect the low\u2010frequency amplitude more than the high frequency. Synthetic seismograms were made for a horizontally layered crust for the\u00a0Mw\u00a04.6 Rivi\u00e8re du Loup earthquake and an\u00a0Mw\u00a03.3 event. The decay with distance of the 1\u00a0Hz spectral amplitudes of the synthetics is similar to that observed for the Rivi\u00e8re du Loup earthquake, indicating that radiation pattern and rupture directivity are important factors in determining the attenuation with distance at 1\u00a0Hz. For the\u00a0Mw\u00a03.3 earthquake, the distance decay of the 1\u00a0Hz spectral amplitudes was found to be sensitive to the focal mechanism. This study demonstrates that estimates of geometrical spreading made using 1\u00a0Hz amplitudes can be contaminated by radiation pattern and directivity effects and may not be applicable for constructing ground\u2010motion prediction equations for sources with other focal mechanisms and rupture behavior.",
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}

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