
基于分形盒维数和多重分形的爆破地震波信号分析
钟明寿;龙源;谢全民;李兴华
THE SIGNAL ANALYSIS OF BLASTING SEISMIC WAVE BASED ON FRACTAL BOX-DIMENSION AND MULTI-FRACTAL
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 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 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。
In order to study the characteristic of blasting seismic wave, by using methods of the fractal box-dimension and multi-fractal theory,The box-dimension and the Multifractal spectrum was gotted through its theorys derivation and matlab calculation.Then the fractal characteristic of Blasting seismic wave was analysed.The results indicate that the fractal box-dimension reflects the complexity and frequency structure of seismic signal.It shows that box-dimension describes the seismic signal as a whole. Multifractal can describe the detailed characteristics of the seismic signal.Its spectrogram describes the probability information of different singularity index a. So this paper proposed methods of the fractal box-dimension and the multi-fractal to obtain the strength、the structure of frequency spectrum and the local singularity characteristic of the blasting seismic.
爆破地震波 / 分形 / 盒维数 / 多重分形 / 信号分析 {{custom_keyword}} /
blasting seismic wave / fractal / box-dimension / multi-fractal / signal analysis {{custom_keyword}} /
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