基于功率谱的爆破地震能量分析方法
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摘要
针对爆破振动频度-能量分布的定量分析问题,提出了一种基于功率谱的能量分析方法。功率谱密度表征了一定频率谐波分量能量的相对大小,以此为出发点,推导出可以表征爆破振动频度-能量分布的计算方法,结合工程实例的分析结果表明,利用该方法可以实现爆破振动频率构成的定量分析。同时将该方法与目前通用的小波变换能量分析方法作了比较,两者的原理是一致的,但基于功率谱的能量分析方法直接利用频谱分析完成从时域到频域的转化,因此分析过程简便,物理意义明确,更容易理解和掌握。
In order to study features of energy distribution for blasting vibration signals,an energy analysis method for blast-induced seismic based on power spectrum is put forward.In some extent,power spectrum density can be regarded as the characterization of relative size of the energy of a certain frequency harmonic.Then a method for calculating the energy-frequency distribution of blasting vibration is derived.Example analysis shows that this method is effective.And the comparative analysis shows that the principle of this method is consistent with the method based on wavelet transform.The method based on power spectrum achieves the transformation from time domain to frequency domain by using spectral analysis.So this method is simple in operation,quite clear in physical meaning,and it can be understood easily
In order to study features of energy distribution for blasting vibration signals,an energy analysis method for blast-induced seismic based on power spectrum is put forward.In some extent,power spectrum density can be regarded as the characterization of relative size of the energy of a certain frequency harmonic.Then a method for calculating the energy-frequency distribution of blasting vibration is derived.Example analysis shows that this method is effective.And the comparative analysis shows that the principle of this method is consistent with the method based on wavelet transform.The method based on power spectrum achieves the transformation from time domain to frequency domain by using spectral analysis.So this method is simple in operation,quite clear in physical meaning,and it can be understood easily
引文
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[12]晏俊伟,龙源,方向,等.基于小波变换的爆破振动信号能量分布特征分析[J].爆炸与冲击,2007,27(5):405-410.YANJun-wei,LONG Yuan,FANG Xiang,et al.Analysis on features of energy distribution for blasting seismic wave based on wavelet transform[J].Explosion and Shock Waves,2007,27(5):405-410.
[2]凌同华,李夕兵.单段爆破振动信号频带能量分布特征的小波包分析[J].振动与冲击,2007,26(5):41-43.LING Tong-hua,LI Xi-bing.Features of energy distribution of single deck blast vibration signals with wavelet packet analysis[J].Journal of Vibration and Shock,2007,26(5):41-43.
[3]凌同华,李夕兵.多段微差爆破振动信号频带能量分布特征的小波包分析[J].岩石力学与工程学报,2005,24(7):1117-1122.LING Tong-hua,LI Xi-bing.Analysis of energy distributions of millisecond blast vibration signals using the wave-let packet method[J].Chinese Journal of Rock Mechanics and Engineering,2005,24(7):1117-1122.
[4]中国生,徐国元,熊正明.基于小波变换的爆破地震信号能量分析法的应用研究[J].爆炸与冲击,2006,26(3):222-227.ZHONG Guo-sheng,XU Guo-yuan,XIONG Zheng-ming.Application research of the energy analysis method forblasting seismic signals based on wavelet transform[J].Explosion and Shock Waves,2006,26(3):222-227.
[5]纽兰.随机振动与谱分析概论[M].方同,译.北京:机械工业出版社,1980.
[6]练友红,王先义,何刚,等.爆破振动信号的频谱分析[J].矿业安全与环保,2004,31(1):49-52.LIAN You-hong,WANG Xian-yi,HE Gang,et al.Frequency spectrumanalysis of blasting vibration signals[J].Mining Safety and Environmental Protection,2004,31(1):49-52.
[7]李顺群,张吉明,朱朝艳,等.考虑持时作用的地震能量表达式[J].辽宁工程技术大学学报,2004,23(3):306-308.LI Shun-qun,ZHANGJi-ming,ZHUChao-yan,et al.Expressionfor earthquake energy with duration actiontaken in to account[J].Journal of Liaoning Technical University,2004,23(3):306-308.
[8]刘贵忠,邸双亮.小波分析及其应用[M].西安:西安电子科技大学出版社,1992.
[9]朱继梅.非稳态振动信号分析[J].振动与冲击,2000,19(1):86-87.ZHUJi-mei.Analysis of unsteady vibration signal[J].Journal of Vibration and Shock,2000,19(1):86-87.
[10]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):24-28.XU Guo-yuan,ZHONG Guo-sheng,XIONG Zheng-ming.Study and application of energy analysis method for blasting seismic safety based on wavelet transform[J].Chinese Journal of Geotechnical Engineering,2006,28(1):24-28.
[11]凌同华,李夕兵.爆破振动信号不同频带的能量分布规律[J].中南大学学报:自然科学版,2004,35(2):310-315.LING Tong-hua,LI Xi-bing.Laws of energy distribution in different frequency bands for blast vibration signals[J].Journal of Central South University of Technology:Natural Science,2004,35(2):310-315.
[12]晏俊伟,龙源,方向,等.基于小波变换的爆破振动信号能量分布特征分析[J].爆炸与冲击,2007,27(5):405-410.YANJun-wei,LONG Yuan,FANG Xiang,et al.Analysis on features of energy distribution for blasting seismic wave based on wavelet transform[J].Explosion and Shock Waves,2007,27(5):405-410.
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