经验模态分解法在地震资料处理中的应用
详细信息 本馆镜像全文    |  推荐本文 | | 获取馆网全文
摘要
在连续小波基的平稳序列时频分析方法基础上,对非平稳时间序列的时频分析方法深入研究,引入经验模态分解法,利用信号的局部特征——时间尺度,从原信号中提取若干个固有模态函数(IMF)和一个残余量,用多个固有模态函数表征信号的局部特征,用残余分量表征信号缓慢变化的趋势,并形成非平稳信号经验模态分解算法。通过实例应用研究验证了EMD分解后所作的瞬时Hilbert幅值谱,比连续小波变换CWT分解后的谱的分辨率高,并与地震道波形匹配自然,可用于地震非平稳数据的时频分析。
In this paper,the frequency analysis method for non- stationary time series achieved further study based on stationary sequence frequency of continuous wavelet analysis method. We introduced empirical mode decomposition method which uses local characteristic time scale signal to extract a number of intrinsic mode function( IMF)from original signal and a residual amount,and based on the local features of several intrinsic mode function signals,the non- stationary signals empirical mode decomposition algorithm was set up according to the trends of slow component of the residual signal. Application practice verified that after the EMD Hilbert instantaneous amplitude spectrum than by continuous wavelet transform CWT resolution spectral decomposition,and naturally matched the seismic trace of waveform. These confirmed that the proposed method can be used for non- stationary frequency seismic analysis.
引文
[1]Huang E N,Wu C M,Long R S,et al.A Confidence Limit for the Empirical Mode Decomposition and Hilbert Spectral Analysis[C]//Proceedings Royal Society of London.2003:2317-2345.
    [2]杨世锡,胡劲松,吴昭同,等.基于高次样条插值的经验模态分解方法研究[J].浙江大学学报(工学版),2004,3(3):267-270.
    [3]程磊,瞿伟廉.基于Hilbert-Huang变换理论的非平稳数据处理[J].建筑科学与工程学报,2007,24(1):26-30.
    [4]王祝文,刘菁华,聂春燕,等.Hilbert-Huang变换在提取阵列声波信号动力特性中的应用[J].地球物理学进展,2008,23(2):450-455.
    [5]俞寿朋.宽带Ricker子波[J].石油地球物理勘探,1996,31(5):605-615.
    [6]田芳,高静怀,陈文超,等.广义S变换与薄互层地震响应[J].地球物理学报,2003,46(4):526-532.
    [7]盖广洪.经验模态分解的一种改进算法[J].西安交通大学学报,2004,38(11):1199-1202.

版权所有:© 2023 中国地质图书馆 中国地质调查局地学文献中心