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爆破地震信号分形维数计算的矩形盒模型 被引量:14

STUDY ON DOUBLE-SCALED RECTANGLE BOX MODEL OF BLASTING SEISMIC WAVE’S FRACTAL DIMENSION COMPUTATION
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摘要 根据爆破地震波曲线的双向尺度效应,建立了具有时间尺度和振幅尺度特性的矩形盒维数计算模型;分 析了矩形盒的时间尺度δ1和振幅尺度δ2的有效取值。提出了基于爆破地震波最高振动峰值所处的波峰或波谷与基线 交点之间的时间作为分析信号的半周期,并以此确定无标度区内k的最高取值,矩形盒的横向尺度限制为:kδ1<[T2], 同时这种矩形盒的纵向尺度kδ2应小于最高峰值。采用矩形盒计算了岩石介质中爆破地震波的分形盒维数,分析表明爆 破地震波具有分形特征,并且在同一场地下的爆破地震波分形盒维数值比较稳定。 Considering the blasting seismic waves double-scaled feature, a double-scaled rectangle box model is built, in which the transverse side δ1 is time and the longitudinal side δ2 is decided by the signal's maximum amplitude. The maximum value of k in no-scaled region is decided by the signals half period which is acquired according to the intersect time interval of the wave crest with the base line, within which the maximum vibration peak of the whole blasting seismic signal locates. The kmax is limited by the relation kδ1 2 must be less than the highest peak value of the blasting seismic wave. The blasting seismic waves box dimension is commuted and the results manifest that the blasting seismic wave possesses the fractal feature.
出处 《振动与冲击》 EI CSCD 北大核心 2005年第1期81-84,93,共5页 Journal of Vibration and Shock
基金 国家自然科学资金资助项目(批准号:10372117)
关键词 矩形 盒维数 振幅 标度 波谷 分形维数 周期 取值 交点 高峰 Blasting Fractals Vibrations (mechanical)
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