丁海平,张铭哲. 2022. 地震动空间相干函数模型中拟合参数的修正. 地震学报,44(3):501−511. doi: 10.11939/jass.20210006
引用本文: 丁海平,张铭哲. 2022. 地震动空间相干函数模型中拟合参数的修正. 地震学报,44(3):501−511. doi: 10.11939/jass.20210006
Ding H P,Zhang M Z. 2022. Modification of fitting parameters in coherency model for spatial variation of seismic ground motion. Acta Seismologica Sinica44(3):501−511. doi: 10.11939/jass.20210006
Citation: Ding H P,Zhang M Z. 2022. Modification of fitting parameters in coherency model for spatial variation of seismic ground motion. Acta Seismologica Sinica44(3):501−511. doi: 10.11939/jass.20210006

地震动空间相干函数模型中拟合参数的修正

Modification of fitting parameters in coherency model for spatial variation of seismic ground motion

  • 摘要: 采用SMART-1台阵第5次和第45次地震的水平向分量加速度记录,首先计算了不同间距台站对的地震动空间相干函数;然后讨论了台站距离对相干函数拟合结果的影响,即某一特定距离的相干函数与所有不同距离的相干函数的拟合结果存在明显差异。为减小这一差异,提出了一种对各个不同距离的相干函数拟合参数进行二次回归的方法,并选用Loh相干函数模型进行了验证,最后给出了基于Loh相干函数模型的拟合参数的修正结果。结果表明本文提出的修正方法将大大提高相干函数模型中参数的拟合精度。

     

    Abstract: In this study, the horizontal component of the 5th and the 45th seismic records of the SMART-1 array were selected. Firstly the lagged coherencies of seismic ground motion of station pairs with different separation distances were calculated. Then the influence of station distance on the fitting of parameters of the coherency function model was discussed, that is, there were obvious differences between the fitting results of the coherency function of a certain distance and the coherency functions of all different distances. In order to reduce this deviation, a method of quadratic regression on the fitting parameters of the coherency of different distances was proposed, and the Loh coherency function model was selected for verifying the method. Finally, the correction results of the fitting parameters based on the Loh coherency function model were given. The results show that the correction method proposed in this paper will greatly improve the fitting accuracy of the parameters in the coherence function model.

     

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