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<p>Ground motion simulation can provide reference for buildings seismic design in areas lacking earthquake records. High frequency attenuating factor (<i>κ</i>) is an important parameter in ground motion simulation, controlling the drop of Fourier spectrum shape in the high frequency interval. Luding <i>M</i><sub>w</sub> 6.6 earthquake records within 150&#xa0;km of the epicenter are selected to develop <i>κ</i>. The Parzen window is used to smooth the cluttered Fourier amplitude spectra (FAS). The frequency interval in FAS with the smallest quotient function (<i>p</i><sup>H</sup>) is selected to fit <i>κ</i>. The approach improves the accuracy of identifying the lowest and the highest frequencies, and improves the stability of the calculation. <i>κ</i> are calculated based on 20 stations of horizontal records and the distribution trend of <i>κ</i> is analyzed. The results show that FAS gradually smooth with the increase of the window width, and it is significantly different from the original spectrum when the window width is larger than 1&#xa0;Hz. Compared with 12 window widths, the 0.4&#xa0;Hz window makes the curve smooth and the error of <i>κ</i> is small. Therefore, the window width of 0.4&#xa0;Hz is recommended. There is a significant directional difference in <i>κ</i> distribution. <i>κ</i> in EW direction increased with respect to epicenter distance, and <i>κ</i> in NS direction decreased with respect to PGA.</p>

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The influence of spectral window smoothing on the calculation of high frequency attenuating factor (κ): a case study of the Luding Mw 6.6 earthquake

  • 期刊论文

  • 发表日期：

    2025年10月23日

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  • Xiaonan Zhang

摘要

Ground motion simulation can provide reference for buildings seismic design in areas lacking earthquake records. High frequency attenuating factor (κ) is an important parameter in ground motion simulation, controlling the drop of Fourier spectrum shape in the high frequency interval. Luding Mw 6.6 earthquake records within 150 km of the epicenter are selected to develop κ. The Parzen window is used to smooth the cluttered Fourier amplitude spectra (FAS). The frequency interval in FAS with the smallest quotient function (pH) is selected to fit κ. The approach improves the accuracy of identifying the lowest and the highest frequencies, and improves the stability of the calculation. κ are calculated based on 20 stations of horizontal records and the distribution trend of κ is analyzed. The results show that FAS gradually smooth with the increase of the window width, and it is significantly different from the original spectrum when the window width is larger than 1 Hz. Compared with 12 window widths, the 0.4 Hz window makes the curve smooth and the error of κ is small. Therefore, the window width of 0.4 Hz is recommended. There is a significant directional difference in κ distribution. κ in EW direction increased with respect to epicenter distance, and κ in NS direction decreased with respect to PGA.