希尔伯特-黄变换在地震资料处理中的应用
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摘要
希尔伯特-黄变换是最新发展起来的处理非线性非平稳信号的时频分析方法。本文介绍了该方法的基本原理和几个关键技术,以及其优势所在,并将它应用于含随机噪音的地震信号和实际地震资料的分解。分解后的信号能够重构原始信号,重构后在信噪比和分辨率方面有了一定的提高,对地震资料的去噪有重要意义。
Hilbert-Huang transformation is a newly developed time-frequency analysis method for dealing with the non-linear,non-stationary signals.In this paper,the basic principles and several key technologies of the Hilbert-Huang transform,as well as its strengths are briefly introduced.It's application to the decomposition of seismic signal with random noise included and actual seismic data are discussed also.The original signal can be really reconstructed with this method,and reconstructed signal improves signal-to-noise ratio and resolution of the attributes,so It is a meaningful method for denoising the seismic data.
Hilbert-Huang transformation is a newly developed time-frequency analysis method for dealing with the non-linear,non-stationary signals.In this paper,the basic principles and several key technologies of the Hilbert-Huang transform,as well as its strengths are briefly introduced.It's application to the decomposition of seismic signal with random noise included and actual seismic data are discussed also.The original signal can be really reconstructed with this method,and reconstructed signal improves signal-to-noise ratio and resolution of the attributes,so It is a meaningful method for denoising the seismic data.
引文
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[12]黄大吉,赵进平,苏纪兰.希尔伯特-黄变换的端点延拓[J].海洋学报,2003,25(1):1-11.
[13]段生全,贺振华,等.HHT方法及其在地震信号处理中的应用[J].成都理工大学学报(自然科学版),2005,32(4):396-400.
[14]邓传伟,李莉华,等.波形分类技术在储层沉积微相预测中的应用[J].石油物探,2008,47(3):262-266.
[15]董立生,刘书会,等.地震属性分析技术的研究与应用[J].石油物探,2004,43(增):17-21.
[2]Morlet J,et al.Wave propagation and sampling theory-partz[J].Sampling theory and complex waves,1982,47(2):222-236.
[3]Qin Shuren,et al.Research of Wavelet Transform InstumentSystem for Signal Analysis[J].Chinese Journal of MechanicalEngineering,2000,13:114-121.
[4]刘希强,周蕙兰,等.基于小波包变换的地震数据时频分析方法[J].西北地震学报,2000,22(2):143-147.
[5]刘希强,周蕙兰,等.基于小波包变换的滤波方法[J].西北地震学报,1999,21(3):248-253.
[6]杨从杰,冯志生,等.小波分析方法在提取井水位潮汐因子震前变化特征的初步应用[J].西北地震学报,2005,27(2):163-167.
[7]刘希强,沈萍,等.用小波变换能量线性度方法识别天然地震与爆破或塌方[J].西北地震学报,2003,25(3):204-209.
[8]Huang N E,Zheng Shen,Long S R,et al..The empiricalmode decomposition and the Hilbert spectrum for nonlinearand non-stationary time series analyses[J].Proc.R.Soc.Lond.,1998,454:903--995.
[9]Huang N E,Wu M C,Long S R,et al..A confidence limitfor the empirical mode decomposition and Hilbert spectral a-nalysis[J].Proceedings of the Royal Society of London,2003,459:2317-2345.
[10]郑天翔,杨力华.经验模式分解算法的探讨与改进[J].中山大学学报(自然科学版),2007,46(1):1-6.
[11]Chen Q H,Huang E,Riemenschneider S,et al..A B-spline approach for empirical mode decompositions[J].Ad-vances in Computational Mathematics,2006(24):171-195.
[12]黄大吉,赵进平,苏纪兰.希尔伯特-黄变换的端点延拓[J].海洋学报,2003,25(1):1-11.
[13]段生全,贺振华,等.HHT方法及其在地震信号处理中的应用[J].成都理工大学学报(自然科学版),2005,32(4):396-400.
[14]邓传伟,李莉华,等.波形分类技术在储层沉积微相预测中的应用[J].石油物探,2008,47(3):262-266.
[15]董立生,刘书会,等.地震属性分析技术的研究与应用[J].石油物探,2004,43(增):17-21.
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