石龙山隧道爆破振动信号的小波分析
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摘要
采用db8作为小波基函数,对石龙山隧道同一炮次下垂直向、水平切向和水平径向的原始爆破振动信号进行尺度为7的一维离散小波变化。通过MATLAB程序分别计算了原始信号、各层小波的功率谱及能量比例;详细分析了各层小波的幅值特性、频谱特性及能量分布特性。研究结果表明:垂直向、水平切向和水平径向的优势频率分别为78.125～2 500 Hz、39.062 5～312.5 Hz和39.062 5～625 Hz。该分析方法在频率及能量分析方面的优势可以更加全面地获取爆破振动信号所带来的信息。
Using db8 as wavelet basis function,one-dimensional discrete wavelet transform on blasting seismic signals in vertical,horizontal tangential and horizontal radial directions under the same blasting of Shilongshan Tunnel is made within the scale of 7.The original signal,the layers of the wavelet power spectrum and the energy ratio are made by Matlab program.Then the amplitude,spectral characteristics and energy distribution characteristics of the layers of wavelet are analyzed in detail.The results show that the vertical,horizontal tangential and horizontal radial dominant frequency are 78.125～2 500 Hz,39.062 5～312.5 Hz and 39.062 5～625 Hz respectively.The advantages of this method in frequency and energy analysis can get more comprehensive access to the information caused by blasting vibration signals.
Using db8 as wavelet basis function,one-dimensional discrete wavelet transform on blasting seismic signals in vertical,horizontal tangential and horizontal radial directions under the same blasting of Shilongshan Tunnel is made within the scale of 7.The original signal,the layers of the wavelet power spectrum and the energy ratio are made by Matlab program.Then the amplitude,spectral characteristics and energy distribution characteristics of the layers of wavelet are analyzed in detail.The results show that the vertical,horizontal tangential and horizontal radial dominant frequency are 78.125～2 500 Hz,39.062 5～312.5 Hz and 39.062 5～625 Hz respectively.The advantages of this method in frequency and energy analysis can get more comprehensive access to the information caused by blasting vibration signals.
引文
[1]赵明阶,叶晓明,吴德伦.工程爆破振动信号分析中的小波方法[J].重庆交通学院学报,1999,18(3):35-41.Zhao Mingjie,Ye Xiaoming,Wu Delun.The wavelet-fourier analy-sis of blasting seismic signal[J].Journal of Chongqing Jiaotong U-niversity,1999,18(3):35-41.
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[8]钟祖良,刘新荣,梁宁慧,等.质点振动速度与主振频率在爆破监测中的应用[J].重庆建筑大学学报,2006,28(4):38-41.Zhong Zuliang,Liu Xinrong,Liang Ninghui,et al.Discussion on application of the peak particle velocity and main vibration frequen-cy in blast vibration monitoring[J].Journal of Chongqing Jianzhu University,2006,28(4):38-41.
[9]凌同华,李夕兵.爆破振动信号不同领域的能力分布规律[J].中南大学学报:自然科学版,2004,35(2):310-312.Ling Tonghua,Li Xibing.Laws of energy distribution in different frequency bands for blast vibration signals[J].Journal of Central South University:Natural Science,2004,35(2):310-312.
[10]徐学勇,冯谦,雷静雅.基于小波包变换的爆破震动信号能量分析方法[J].大地测量与地球动力学,2010,30(增刊2):27-30.Xu Xueyong,Feng Qian,Lei Jingya.Energy analysis method based on wavelet packet transformation for explosion vibration sig-nal[J].Journal of Geodesy and Geodynamics,2010,30(supp2):27-30.
[11]徐国元,中国生,熊正明.基于小波变换的爆破地震安全能量分析法的应用研究[J].岩土工程学报,2006,28(1):24-27.Xu Guoyuan,Zhong Guosheng,Xiong Zhengming.Study and ap-plication of energy analysis method for blasting seismic safety based on wavelet transform[J].Chinese Journal of Geotechnical Engi-neering,2006,28(1):24-27.
[12]陈士海,魏海霞,张子华,等.钢筋混凝土结构爆破地震响应频谱及幅值变化规律分析[J].振动与冲击,2011,30(1):213-217.Chen Shihai,Wei Haixia,Zhang Zihua et al.Spectral analysis and amplitude varying for blasting vibration response of a reinforced concrete building[J].Journal of Vibration and Shock,2011,30(1):213-217.
[2]何军,于亚伦,梁文基.爆破振动信号的小波分析[J].岩土工程学报,1998,20(1):47-50.He Jun,Yu Yalun,Liang Wenji.Wavelet analysis for blasting seismic signals[J].Chinese Journal of Geotechnical Engineering,1998,20(1):47-50.
[3]林从谋,杨林德,崔积弘.浅埋隧道掘进爆破振动特征研究[J].地下空间与工程学报,2006,2(2):276-279.Lin Congmou,Yang Linde,Cui Jihong.Study on the vibration char-acteristic of the shallow-tunneling blasting[J].Chinese Journal of Underground Space and Engineering,2006,2(2):276-279.
[4]李金龙.小波变化方法及其应用[J].地震,2001,21(3):91-97.Li Jinlong.Wavelet transform method and its application[J].Earthquake,2001,21(3):91-97.
[5]刘敦文,粟闯,龚运高.一种基于爆破振动信号小波分析的爆破危害评判新方法[J].中南大学学报:自然科学版,2010,41(4):1574-1577.Liu Dunwen,Su Chuang,Gong Yungao.New method for blasting hazards evaluation based on wavelet analysis of blasting vibration signals[J].Journal of Central South University:Science and Technology,2010,41(4):1574-1577.
[6]林大超,施惠基,白春华,等.爆炸地震效应的时频分析[J].爆炸与冲击,2003,23(1):31-35.Lin Dachao,Shi Huji,Bai Chunhua,et al.Time-frequency analy-sis of explosion seismic effects[J].Explosion and Shock Waves,2003,23(1):31-35.
[7]娄建武,龙源,徐全军.小波分析在结构物对爆破振动响应的能量分析法中的应用[J].世界地震工程,2001,17(1):64-66.Lou Jianwu,Long Yuan,Xu Quanjun.Study on the wavelet analy-sis applied in structure response to blasting vibration[J].World Information on Earthquake Engineering,2001,17(1):64-66.
[8]钟祖良,刘新荣,梁宁慧,等.质点振动速度与主振频率在爆破监测中的应用[J].重庆建筑大学学报,2006,28(4):38-41.Zhong Zuliang,Liu Xinrong,Liang Ninghui,et al.Discussion on application of the peak particle velocity and main vibration frequen-cy in blast vibration monitoring[J].Journal of Chongqing Jianzhu University,2006,28(4):38-41.
[9]凌同华,李夕兵.爆破振动信号不同领域的能力分布规律[J].中南大学学报:自然科学版,2004,35(2):310-312.Ling Tonghua,Li Xibing.Laws of energy distribution in different frequency bands for blast vibration signals[J].Journal of Central South University:Natural Science,2004,35(2):310-312.
[10]徐学勇,冯谦,雷静雅.基于小波包变换的爆破震动信号能量分析方法[J].大地测量与地球动力学,2010,30(增刊2):27-30.Xu Xueyong,Feng Qian,Lei Jingya.Energy analysis method based on wavelet packet transformation for explosion vibration sig-nal[J].Journal of Geodesy and Geodynamics,2010,30(supp2):27-30.
[11]徐国元,中国生,熊正明.基于小波变换的爆破地震安全能量分析法的应用研究[J].岩土工程学报,2006,28(1):24-27.Xu Guoyuan,Zhong Guosheng,Xiong Zhengming.Study and ap-plication of energy analysis method for blasting seismic safety based on wavelet transform[J].Chinese Journal of Geotechnical Engi-neering,2006,28(1):24-27.
[12]陈士海,魏海霞,张子华,等.钢筋混凝土结构爆破地震响应频谱及幅值变化规律分析[J].振动与冲击,2011,30(1):213-217.Chen Shihai,Wei Haixia,Zhang Zihua et al.Spectral analysis and amplitude varying for blasting vibration response of a reinforced concrete building[J].Journal of Vibration and Shock,2011,30(1):213-217.
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