基于Levenberg-Marquardt法和最小二乘法的中国西部烈度衰减关系模型研究

doi:10.12196/j.issn.1000-3274.2021.03.005

地震 ›› 2021, Vol. 41 ›› Issue (3): 59-76.doi: 10.12196/j.issn.1000-3274.2021.03.005

基于Levenberg-Marquardt法和最小二乘法的中国西部烈度衰减关系模型研究

任静¹, 李志强¹, 杨彦明², 任克新¹

1.中国地震台网中心, 北京 100045;
2.内蒙古自治区地震局, 内蒙古呼和浩特 010010

收稿日期:2020-07-03 修回日期:2020-10-10 出版日期:2021-07-31 发布日期:2021-11-02
通讯作者: 任克新, 高级工程师。 E-mail: renkx9370@qq.com
作者简介:任静(1987-), 女, 北京市人, 工程师, 主要从事地震工程和地震应急研究。
基金资助:
地震应急青年基金项目(CEAEDEM202026); 中国地震台网中心青年基金项目(QNJJ202012)

Research on Relation Model of Intensity Decay in Western China Based on Levenberg-Marquardt Method and Least Square Method

REN Jing¹, LI Zhi-qiang¹, YANG Yan-ming², REN Ke-xin¹

1. China Earthquake Networks Center, Beijing 100045, China;
2. Earthquake Administration of Inner Mongolia Autonomous Region, Hohhot 010010, China

Received:2020-07-03 Revised:2020-10-10 Online:2021-07-31 Published:2021-11-02

摘要/Abstract

摘要： 收集1900年以来, 中国西部地区488次地震的烈度等震线资料, 采用长、短轴椭圆模型, 应用Levenberg-Marquardt法和最小二乘法拟合了中国西南地区和西北地区地震烈度衰减关系, 结果表明: 两种拟合方法的回归模型结果具有良好的一致性, 在西南地区与西北地区2个统计单元内地震烈度衰减关系有显著不同, 应作为不同的分区对待。同时, 将本文结果与其他研究者得出的中国西部地区地震烈度衰减关系结果进行了对比分析, 并以近年来中国西部发生的6个真实地震的烈度圈数据为基准, 对比了本文模型与其他区域模型的长、短轴及面积的计算结果, 结果显示: 本文烈度衰减关系计算结果的精准性要稍高于大区域的计算结果, 但相对于小区域来说, 本文结果比小区域的烈度衰减关系结果误差偏大。由于地震烈度衰减关系具有区域性特征, 区域划分越细范围越小, 结果精准性越高, 但是计算大区域的烈度衰减关系, 有利于第一时间掌握灾区大范围的灾情分布, 特别是对于震级较大的地震, 计算得到大尺度上的地震烈度衰减关系, 可以迅速分析相邻省区受影响地区的烈度分布特征, 无须利用另一个省的地震烈度衰减关系数据重新计算, 故而本文两种方法得出的结果较好地反映了烈度衰减的区域特征, 适合用于中国西部地区的工程地震研究和应用。

关键词: Levenberg-Marquardt法, 最小二乘法, 中国西部, 烈度衰减关系

Abstract: Collecting intensity isoseismal data of 488 earthquakes in western China since 1900, using long and short axis ellipse models, applying Levenberg-Marquardt method and least square method to fit the attenuation relationship of seismic intensity in Southwest China and Northwest China. The results shows that the regression model results of the two fitting methods are in good agreement, and the seismic intensity attenuation relationship in the two statistical units in the southwest and northwest regions is significantly different, and should be treated as different regions. At the same time, the results of this paper are compared with the results of seismic intensity attenuation in western China obtained by other researchers. Based on the intensity circle data of 6 real earthquakes in western China in recent years, the model in this paper is compared with other calculation results of the long and short axis and area of the regional model show that the accuracy of the calculation result of the intensity attenuation relationship in this paper is slightly greater than that of the large area, but compared to the small area, the result of this paper is more attenuated than the intensity of the small area. The error of the relationship result is too large. Since the earthquake intensity attenuation relationship has regional characteristics, the finer the area is, the smaller the scope will be, and the higher the accuracy will be. However, calculating the intensity attenuation relationship in a large area is helpful to grasp the distribution of the disaster in a large area in the first time, especially for the magnitude of the earthquake. For larger earthquakes, the seismic intensity attenuation relationship on a large scale can quickly know the intensity distribution characteristics of the affected areas of neighboring provinces. There is no need to re-calculate the seismic intensity attenuation relationship data of another province. The results obtained by the method better reflect the regional characteristics of intensity attenuation, and are suitable for engineering seismic research and application in western China.

Key words: Eastern China, Seismic intensity, Attenuation relationship

中图分类号:

P315.9

任静, 李志强, 杨彦明, 任克新. 基于Levenberg-Marquardt法和最小二乘法的中国西部烈度衰减关系模型研究[J]. 地震, 2021, 41(3): 59-76.

REN Jing, LI Zhi-qiang, YANG Yan-ming, REN Ke-xin. Research on Relation Model of Intensity Decay in Western China Based on Levenberg-Marquardt Method and Least Square Method[J]. EARTHQUAKE, 2021, 41(3): 59-76.

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基于Levenberg-Marquardt法和最小二乘法的中国西部烈度衰减关系模型研究

Research on Relation Model of Intensity Decay in Western China Based on Levenberg-Marquardt Method and Least Square Method

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