刘振彪, 俞言祥, 肖亮, 吴清. 0: 基于拟合椭圆的等震线测量方法. 地震学报. DOI: 10.11939/jass.20220160
引用本文: 刘振彪, 俞言祥, 肖亮, 吴清. 0: 基于拟合椭圆的等震线测量方法. 地震学报. DOI: 10.11939/jass.20220160
ZhenBiao LIU, YanXiang YU, Liang XIAO, Qing WU. 0: Isoseismal line measurement method based on fitting ellipse. Acta Seismologica Sinica. DOI: 10.11939/jass.20220160
Citation: ZhenBiao LIU, YanXiang YU, Liang XIAO, Qing WU. 0: Isoseismal line measurement method based on fitting ellipse. Acta Seismologica Sinica. DOI: 10.11939/jass.20220160

基于拟合椭圆的等震线测量方法

Isoseismal line measurement method based on fitting ellipse

  • 摘要: 将等震线测量模式和直接测量方法的概念以约束的形式加入拟合椭圆方法,系统的给出基于拟合椭圆测量等震线的方法,基于最优化理论求解减少了直接测量方法的主观不确定性。讨论了拟合椭圆算法的适用性和鲁棒性,将等震线测量结果与前人的结果进行对比。结果表明,拟合椭圆算法适用性较好,适用于等震线的拟合;拟合椭圆算法的鲁棒性较好,等震线计算结果较为稳定,而未闭合且形状复杂等震线计算结果相对离散,要单独验证结果是否可用;利用拟合椭圆方法得到的结果与前人的结果较为一致,此外,拟合椭圆方法减少了测量时的主观不确定性,可以用于建立烈度衰减关系。

     

    Abstract: The concepts of isoseismal line measurement mode and direct measurement method are added to the fitting ellipse method in the form of constraints, and the method of measuring isoseismal line based on fitting ellipses is systematically given, and the solution based on the optimization theory reduces the subjective uncertainty of the direct measurement method. The applicability and robustness of the fitting ellipse algorithm are discussed, and the results of measurement are compared with the previous results. The results show that the fitting ellipse algorithm has good applicability and is suitable for the fitting of isoseismic lines. The robustness of the fitted ellipse algorithm is good, and the results of the isoseismal line are stable, while the results of the unclosed isoseismic lines with complex shapes are relatively discrete, so it is necessary to verify whether the results are available separately. The results obtained by the fitting ellipse method are in good agreement with the previous results. In addition, the fitting ellipse method reduces the subjective uncertainty of measurement and can be used to establish the intensity attenuation relationship.

     

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