| 基于分形盒维数和多重分形的爆破地震波信号分析 |
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| 引用本文： | 钟明寿,龙源,谢全民,李兴华.基于分形盒维数和多重分形的爆破地震波信号分析[J].振动与冲击,2010,29(1):7-11. |
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| 作者姓名： | 钟明寿 龙源 谢全民 李兴华 |
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| 作者单位： | 解放军理工大学工程兵工程学院，南京210007 |
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| 摘 要： | 为深入研究爆破地震波特性,采用分形盒维数和多重分形理论相结合的数学方法,通过其算法的理论推导和MATLAB软件编程计算得到地震波信号的盒维数值和多重分形谱图,对地震波信号的分形特征进行了分析。研究表明:盒维数D值的大小反映了地震波曲线的复杂程度和频率结构特征,说明盒维数只是对地震波信号整体性的描述;多重分形能够更加精细地描述地震波信号的局部特征,其谱图描述了不同奇异性指数α的概率信息。因此提出使用分形盒维数和多重分形相结合的信号分析方法,获取爆破地震波信号的整体强弱、频谱结构特征和局部的奇异性等重要信息。
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| 关 键 词： | 爆破地震波 分形 盒维数 多重分形 信号分析 |
| 收稿时间： | 2009-1-15 |
| 修稿时间： | 2009-4-17 |
Signal analysis for blasting seismic wave based on fractal box-dimension and multi-fractal |
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| ZHONG Ming-shou,LONG Yuan,XIE Quan-min,LI Xing-hua.Signal analysis for blasting seismic wave based on fractal box-dimension and multi-fractal[J].Journal of Vibration and Shock,2010,29(1):7-11. |
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| Authors: | ZHONG Ming-shou LONG Yuan XIE Quan-min LI Xing-hua |
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| Affiliation: | （Engineering Institute of Corps of Engineers，PLA Univ. of Sci. & Tech.，Nanjing 210007） |
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| Abstract: | In order to study the characteristic of blasting seismic wave,using a method combining fractal box-dimension and multi-fractal theory,the box-dimension and the multifractal spectrum of blasting seismic wave were obtained through theoretic derivation and programrning calculation using MATLAB software.Then,the fractal characteristic of blasting seismic wave was analyzed.The results indicated that the fractal box-dimension reflects the complexity and frequency structure of the seismic signal;the box-dimension ... |
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| Keywords: | blasting seismic wave fractal box-dimension multi-fractal signal analysis multi-fractal spectrum |
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