地震资料的Hilbert-Huang变换及其应用
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摘要
地震信号能量和频率随着时间的推移而改变,仅仅从时间域或频率域来分析信号已不能充分地描述地震信号的特征。基于Hilbert-Huang变换(HHT),把非稳态的地震信号分解为不同分辨尺度的基本模态分量,利用不同模态分量的瞬时时频特征精细刻画地震信号的时间-频率-能量之间的关系,探讨了HHT在面波压制方面的应用。应用结果表明,HHT在时频域可以较好地达到衰减面波的目的。
The energy and the frequency of seismic signal were varied with time,so it was difficult to characterize seismic signal accurately and subtly only in the field of time or frequency.Based on Hilbert-Huang transform,the non-stationary seismic signal could be decomposed into a finite and small number of intrinsic mode functions and the relation between time-frequency-energy of seismic signal could then be identified accurately by using the instantaneous time-frequency analysis of different model signal.The application of Hilbert-Huang transform in compressing wave is studied.The result shows that Hilbert-Huang transform can attenuate surface wave accurately in time-frequency field.
The energy and the frequency of seismic signal were varied with time,so it was difficult to characterize seismic signal accurately and subtly only in the field of time or frequency.Based on Hilbert-Huang transform,the non-stationary seismic signal could be decomposed into a finite and small number of intrinsic mode functions and the relation between time-frequency-energy of seismic signal could then be identified accurately by using the instantaneous time-frequency analysis of different model signal.The application of Hilbert-Huang transform in compressing wave is studied.The result shows that Hilbert-Huang transform can attenuate surface wave accurately in time-frequency field.
引文
[1]王培茂.地震信号的时频特征表示方法及应用[D].长春:吉林大学,2008.
[2]邹文,陈爱萍,顾汉明.地震信号的时频分析方法[J].世界地质,2004,23(1):95～99.
[3]李振春,刁瑞,韩文功,等.线性时频分析方法综述[J].勘探地球物理进展,2010,33(4):239～246.
[4]Huang N E,Shen Zheng,Long S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-station-ary time series analysis[J].Proc R Soc Lond A,1998,454(1971):903～906.
[5]张郁山.希尔伯特-黄变换(HHT)与地震动时程的希尔伯特谱[D].北京:中国地震局地球物理研究所,2003.
[6]胡劲松,杨世锡,任达千.一种基于EMD的振动信号时频分析新方法研究[J].振动与冲击,2008,27(8):71～73.
[7]公茂盛,谢礼立.HHT方法在地震工程中的应用之初步探讨[J].世界地震工程,2003,19(3):39～43.
[2]邹文,陈爱萍,顾汉明.地震信号的时频分析方法[J].世界地质,2004,23(1):95～99.
[3]李振春,刁瑞,韩文功,等.线性时频分析方法综述[J].勘探地球物理进展,2010,33(4):239～246.
[4]Huang N E,Shen Zheng,Long S R,et al.The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-station-ary time series analysis[J].Proc R Soc Lond A,1998,454(1971):903～906.
[5]张郁山.希尔伯特-黄变换(HHT)与地震动时程的希尔伯特谱[D].北京:中国地震局地球物理研究所,2003.
[6]胡劲松,杨世锡,任达千.一种基于EMD的振动信号时频分析新方法研究[J].振动与冲击,2008,27(8):71～73.
[7]公茂盛,谢礼立.HHT方法在地震工程中的应用之初步探讨[J].世界地震工程,2003,19(3):39～43.
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