同步挤压小波变换提取地震信号瞬时属性
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摘要
地震信号瞬时属性(振幅、相位、频率)的准确提取对于研究地球介质的岩性构造、油气储藏等具有重要意义;针对用传统时频分析方法提取地震信号瞬时属性对噪声敏感、可靠性不强等问题,提出了利用同步挤压小波变换(SST)提取地震信号瞬时属性的方法;该方法是一种连续可逆的时频变换工具,首先结合时频谱重排的思想,得到同步挤压小波变换量值,然后计算出实信号对应的解析信号,接着求取瞬时属性,最后与传统的Hilbert变换方法进行比较,通过仿真信号试验和实际地震资料的应用表明,SST提取的地震瞬时属性抗噪性更强、可靠性强,尤其对于瞬时频率的提取。
The accurate extraction of instantaneous attribute(amplitude,phase,frequency)of seismic signals is of great significance for the study of the lithology structure,oil and gas reservoirs,etc.For the method of extracting the instantaneous attribute by traditional transform,the method is sensitive to noise and the accuracy is not accurate enough.In this paper,Synchrosqueezing Wavelet Transform is proposed to extract the instantaneous attribute of seismic signal.This method is a continuous and reversible time-frequency transform tool,first of all,combined with the idea of time-frequency rearrangement,the value of the squeezed wavelet transform is obtained,and then the corresponding analysis of real signal and finally obtain the instantaneous attribute.The simulation signal experiment and the application of the actual seismic data show that compared with the traditional Hilbert transform method,the instantaneous attribute extracted by this method are more robust to noise,with higher accuracy and less error,especially for instantaneous frequency extraction.
The accurate extraction of instantaneous attribute(amplitude,phase,frequency)of seismic signals is of great significance for the study of the lithology structure,oil and gas reservoirs,etc.For the method of extracting the instantaneous attribute by traditional transform,the method is sensitive to noise and the accuracy is not accurate enough.In this paper,Synchrosqueezing Wavelet Transform is proposed to extract the instantaneous attribute of seismic signal.This method is a continuous and reversible time-frequency transform tool,first of all,combined with the idea of time-frequency rearrangement,the value of the squeezed wavelet transform is obtained,and then the corresponding analysis of real signal and finally obtain the instantaneous attribute.The simulation signal experiment and the application of the actual seismic data show that compared with the traditional Hilbert transform method,the instantaneous attribute extracted by this method are more robust to noise,with higher accuracy and less error,especially for instantaneous frequency extraction.
引文
[1]刘霞,马妍.基于时频分析的地震信号瞬时参数提取方法研究[D].大庆:东北石油大学,2013,21(6):2-5.
[2]刘希康,丁志峰,李媛,等.STFT与WVD在地震波时频分析中的应用[J].地震地磁观测与研究,2016,37(1):15-17.
[3]王成龙,曾珍,周军.小波域提取地震信号瞬时参数[J].内蒙古石油化工,2008,34(1):67-69.
[4]刘丽娟,王山山.广义S变换窗函数的分析和改进[J].岩性油气藏,2007,19(2):76-79.
[5]Gabor D.Theory of communication[J].Journal of the Institute of Electrical Engineers of Japan,1946,93(3):429-457.
[6]Neidell N,Tanrer.Marine exploration actual conditions[J].Progress in Exploration Geophysics.1986,2(4):97-105.
[7]Daubechies A,Lu J,TWu H.Synchrosqueezed wavelet transforms:An empirical mode decomposition-like tool[J].Appl Comput.Harmon.Anal.2011,30(2):243-261.
[8]刘景良,任伟新,王佐才,等.基于同步挤压小波变换的结构瞬时频率识别[J].振动与冲击,2013,32(18):37-42.
[9]张黎明,张小栋,陆竹风,等.用于稳态视觉诱发电位特征频率提取的同步压缩短时傅里叶变换方法[J].西安交通大学学报,2017,51(2):20-26.
[10]Wang P,Gao J,Wang Z.Time-Frequency Analysis of Seismic Data Using Synchrosqueezing Transform[J].IEEE Geoscience&Remote Sensing Letters,2014,11(12):2042-2044.
[11]Daubechies A,Lu J,TWu H.Synchrosqueezed wavelet transforms:An empirical mode decomposition-like tool[J].Appl.Comput.Harmon.Anal.,2011,30(2):243-261.
[2]刘希康,丁志峰,李媛,等.STFT与WVD在地震波时频分析中的应用[J].地震地磁观测与研究,2016,37(1):15-17.
[3]王成龙,曾珍,周军.小波域提取地震信号瞬时参数[J].内蒙古石油化工,2008,34(1):67-69.
[4]刘丽娟,王山山.广义S变换窗函数的分析和改进[J].岩性油气藏,2007,19(2):76-79.
[5]Gabor D.Theory of communication[J].Journal of the Institute of Electrical Engineers of Japan,1946,93(3):429-457.
[6]Neidell N,Tanrer.Marine exploration actual conditions[J].Progress in Exploration Geophysics.1986,2(4):97-105.
[7]Daubechies A,Lu J,TWu H.Synchrosqueezed wavelet transforms:An empirical mode decomposition-like tool[J].Appl Comput.Harmon.Anal.2011,30(2):243-261.
[8]刘景良,任伟新,王佐才,等.基于同步挤压小波变换的结构瞬时频率识别[J].振动与冲击,2013,32(18):37-42.
[9]张黎明,张小栋,陆竹风,等.用于稳态视觉诱发电位特征频率提取的同步压缩短时傅里叶变换方法[J].西安交通大学学报,2017,51(2):20-26.
[10]Wang P,Gao J,Wang Z.Time-Frequency Analysis of Seismic Data Using Synchrosqueezing Transform[J].IEEE Geoscience&Remote Sensing Letters,2014,11(12):2042-2044.
[11]Daubechies A,Lu J,TWu H.Synchrosqueezed wavelet transforms:An empirical mode decomposition-like tool[J].Appl.Comput.Harmon.Anal.,2011,30(2):243-261.