爆破地震信号分形维数计算的矩形盒模型
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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 wave's double-scaled feature, a double-scaled rectangle box model is built, in which the transverse side δ 1 is time and the longitudinal side δ 2 is decided by the signal’s maximum amplitude.The maximum value of k in no-scaled region is decided by the signal's half period which is acquired accrding 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 k max is limited by the relation kδ 1<[T 2],and at the longitudinal side kδ 2must be less than the highest peak value of the blasting seismic wave. The blasting seismic wave's box dimension is commuted and the results manifest that the blasting seismic wave possesses the fractal feature.
Considering the blasting seismic wave's double-scaled feature, a double-scaled rectangle box model is built, in which the transverse side δ 1 is time and the longitudinal side δ 2 is decided by the signal’s maximum amplitude.The maximum value of k in no-scaled region is decided by the signal's half period which is acquired accrding 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 k max is limited by the relation kδ 1<[T 2],and at the longitudinal side kδ 2must be less than the highest peak value of the blasting seismic wave. The blasting seismic wave's box dimension is commuted and the results manifest that the blasting seismic wave possesses the fractal feature.
引文
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9 张军华,乐友善,陆基孟.小波变换和分形属性在提高地震资料分辨率中的应用[J].石油物探,1997,36(3):13—22
10 訾艳阳,胥华刚,何正嘉.离散振动信号分形盒维数的改进算法和应用[J],机械科学与技术,2001,20(3):372—375
2 林鸿溢,李映雪,分形论———奇异性探索[M],北京:北京理工大学出版社,1992
3 PetrosMaragos.Fractalaspectsofspeechsignals:dimension andinterpolation,[USA]ADA249102,1992
4 张济忠.分形[M].北京:清华大学出版社,1995
5 刘占生,刘成敏,刘树春等.小波分析和分形几何在转子动静碰摩擦故障诊断中的应用[J],振动工程学报,1998,11(1):81～84
6 StatishBukkapatnam,SoundarR.T.Kumara.AkhleshLakhta kia,Fractalestimationofflankwearinturning,[USA]1996;DAAH04-96-1-0082
7 PetrosMaragos,Fang-KuoSun.Measuringthefractaldimen sionofsignals:morphologicalcoversanditerativeoptimization[J],IEEETransactiononsignalprocessing.January1993,41(1):108—121
8 GregoryW.Wornell,AlanV.Oppenheim.Estimationoffracta signalsfromnoisymeasurementsusingwavelets[J],IEEE transactiononsignalprocessing,1992,40(3):611—623
9 张军华,乐友善,陆基孟.小波变换和分形属性在提高地震资料分辨率中的应用[J].石油物探,1997,36(3):13—22
10 訾艳阳,胥华刚,何正嘉.离散振动信号分形盒维数的改进算法和应用[J],机械科学与技术,2001,20(3):372—375
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