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High frequency fall-off of source spectra using Q -free spectra estimation
Authors:P MOZAFFARI  ZHONG-LIANG WU  YUN-TAI CHEN  MING WANG
Institution:1. Institute of Geophysics, China Seismological Bureau, Beijing 100081, China;Institute of Geophysics, Tehran University, Tehran 14394, Iran
2. Institute of Geophysics, China Seismological Bureau, Beijing 100081, China
Abstract:A broadband seismogram may be represented by a convolution of source time function, the propagation operator and the scattering/attenuation operator. As the propagation operator is frequency-independent, and the scattering/attenuation effect may be described by a Q-factor depending on frequency via Q −1=Q 1 −1 +(Q 2 ω)−1, considering a combination of the displacement spectra, the source spectra may directly be estimated, in which the contribution of the Q-value may be eliminated automatically. Using this algorithm, the near-source broadband seismograms of five aftershocks of the 1988 Lancang-Gengma, Yunnan Province, China earthquake were processed. The results for the M L=3.0 and M L=3.5 aftershocks show that for the same earthquake, similar high-frequency fall-off may be obtained from different recording stations. The result for the M S=6.7 aftershock shows that consistent source parameters may be gotten from different seismic stations. The parameters estimated also agree with the results obtained by empirical Green’s function approach. The high-frequency spectra of the aftershocks exhibit a typical f −γ fall-off. For the M L=3.0 aftershock, γ≈3; for the M S=6.7 and M L=4.0 aftershocks, γ≈2; and for the M L=3.5 and M L=3.0 aftershocks, γ≈2.5. The corner frequency of the M S=6.7 aftershock indicates that it has a small source dimension, implying that it may come from the rupture of a small but strong barrier. Contribution No. 99FC2003, Institute of Geophysics, China Seismological Bureau, China. This work is supported by the Joint Seismological Sciences Foundation (95-07-411). Also partly supported by NSFDYS49725410.
Keywords:source spectra Q-value Lancang-Gengma earthquake
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