俯冲带板间地震水平加速度谱阻尼修正系数研究

基于日本K-net和Kik-net台站的俯冲带地区板间地震的数据，分SCⅠ~SCⅣ四种场地分别建立了水平向加速度反应谱阻尼修正系数模型。利用最小二乘法进行回归拟合，拟合公式采用对数三次项提高拟合精度。通过统计检验和残差分析，验证模型的拟合效果。研究表明:低于5%与高于5%阻尼比的阻尼修正系数变化趋势差异明显，分别在周期点0.3~0.5s区间达到极大值和极小值；不同场地类别的阻尼修正系数统计上显著不同，建立不同场地类别的模型是必要的；模型残差的标准差分布在0.012~0.712之间，建立的阻尼修正系数模型较好的拟合了阻尼修正系数随谱周期和阻尼比的变化趋势。

Study on the modelling of damping modification factors for the horizontal acceleration spectrum from subduction interface earthquake records

The subduction interface earthquake records were collected from K-net and Kik-net to establish damping modification factor model for SC I~SC IV site classes. the model coefficients were obtained by using the least-squares method. Logarithmic Cubic-equation was used to improve the goodness of fit. Statistic test and residual analysis was used to verify the fitting effect of the model. The variation trends of the damping modification factor of the damping ratio lower than 5% and higher than 5% are obviously different, which reach the maximum and minimum values in 0.3~0.5s period ranges. The statistical damping modification factors of different site classes are significantly different. It is necessary to establish Ba models for different site classes. The established damping modification factor model has a good fitting capacity, and the residual standard deviation is distributed between 0.012~0.712. The damping modification factor model fitted the variation trend of the damping modification factor with respect to spectral period and damping ratio.