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地震波动强度非平稳特征提取数学建模分析
引用本文:吕扬,宋英培.地震波动强度非平稳特征提取数学建模分析[J].西北地震学报,2020,42(1):116-122.
作者姓名:吕扬  宋英培
作者单位:江西财经职业学院 基础课教学部, 江西 九江 332000;江西师范大学 数学与信息科学学院, 江西 南昌 330022,九江学院 药学与生命学院, 江西 九江 332005
基金项目:国家自然基金项目(31760392)
摘    要:地震对人类生活安全有很大的威胁,对建筑结构有明显的影响,研究地震波动强度非平稳特征可为地震的预防提供参考。研究地震波动强度非平稳特征提取模型,分别设定确定性参数和随机参数的取值。对地震波动强度非平稳特性进行傅里叶分析,根据分析结果选取数学模型,并对模型参数进行设定;将记录的地震波动强度所对应的数振幅谱进行分解,拆分成一组不同尺度的分量,并对其重组创建连续分量,提取地震波振幅谱;利用地震波的振幅谱和相位谱之间的关系对地震波动强度非平稳特征进行提取。经过仿真实验证明,本方法提取地震波动强度非平稳特征的准确度更高,对分析高分辨率地震资料具有重要意义。

关 键 词:地震波动强度  非平稳特征  数学建模  特征提取
收稿时间:2018/12/21 0:00:00

Mathematical Modeling Analysis of Non-StationaryFeature Extraction of the Seismic Wave Intensity
LV Yang,SONG Yingpei.Mathematical Modeling Analysis of Non-StationaryFeature Extraction of the Seismic Wave Intensity[J].Northwestern Seismological Journal,2020,42(1):116-122.
Authors:LV Yang  SONG Yingpei
Institution:Basic Course Teaching Department, Jiangxi Vocational College of Finance and Economics, Jiujiang 332000, Jiangxi, China;College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, Jiangxi, China and College of Pharmacy and Life, Jiujiang University, Jiujiang 332005, Jiangxi, China
Abstract:An earthquake considerably threatens the safety of human life and obviously impacts the building structure. Studying the non-stationary characteristics of the earthquake wave intensity can provide a reference for earthquake prevention. Herein, the non-stationary feature extraction model of the seismic wave intensity is studied, and the deterministic and random parameters are set. Further, the non-stationary characteristics of the seismic wave intensity are analyzed based on the Fourier transform. Subsequently, a mathematical model is selected according to the analysis results, and the model parameters are set. The seismic amplitude spectra corresponding to the recorded seismic wave intensity are decomposed into a set of components on different scales, and continuous components can be obtained by reorganizing them; subsequently, the seismic wave amplitude spectrum is extracted. The relation between the amplitude and phase spectra of a seismic wave is used to extract the non-stationary characteristics of the seismic wave intensity. The simulation results denote that the proposed method is more accurate in extracting the non-stationary features of the seismic wave intensity when compared with the remaining methods; therefore, the proposed method is of considerable significance for analyzing high-resolution seismic data.
Keywords:seismic wave intensity  non-stationary characteristics  mathematical modeling  feature extraction
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