一种地震子波提取的高阶累积量方法
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摘要
提出1种在频率域实现地震子波提取的高阶累积量方法。其是先提取子波的相位谱再求解时间域的子波。理论上可适用于提取除零相位子波以外的任何形式的子波,但应用不同长度的时窗提取子波的效果会有很大的差别,实际应用时可利用时窗长度扫描的方法,以不同的子波相位谱对地震记录进行子波零相位化处理,最后根据最大方差模准则确定最佳子波。理论模型实验和实际资料处理实验均表明了该方法对最小相位及混合相位子波都有较好的处理效果。
In this paper,a new frequency domain method of high-order cumulants is presented.It first computes the phase spectrum and then obtains the solution of wavelet in the time domain.Theoretically the approach is capable of extracting almost all kinds of wavelets except zero-phase ones.High-order cumulants belong to statistical methods and need to be calculated in different time windows.It is found that the length of the time window may seriously affect the accuracy of the result,and it is proposed that this problem may be overcome in practice by scanning the length of the time window.The optimum wavelet is finally evaluated based on the varimax criterion for a zero-phasing seismic record or section.Numerical and real data tests demonstrate that the method presented is capable of both minimum and mix-phase wavelets with relatively higher accuracy.
In this paper,a new frequency domain method of high-order cumulants is presented.It first computes the phase spectrum and then obtains the solution of wavelet in the time domain.Theoretically the approach is capable of extracting almost all kinds of wavelets except zero-phase ones.High-order cumulants belong to statistical methods and need to be calculated in different time windows.It is found that the length of the time window may seriously affect the accuracy of the result,and it is proposed that this problem may be overcome in practice by scanning the length of the time window.The optimum wavelet is finally evaluated based on the varimax criterion for a zero-phasing seismic record or section.Numerical and real data tests demonstrate that the method presented is capable of both minimum and mix-phase wavelets with relatively higher accuracy.
引文
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[9]Lisa APflug.Principal domains of thetrispectrum,signal bandwidth,and implications for deconvolution[J].Geophysics,May-June,2000,65(3):958-969.
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[15]高江,戴冠中.Bernoulli-Gaussian白噪声的一种似然比检测方法[J].自动化学报,1998,24(2):179-185.
[2]Danilo R Velis,Tadeusz J Ulrych.Simulated annealing wavelet esti-mation via fourth-order cumulant matching[J].Geophysics,1996,61(6):1939-1948.
[3]Tadeusz J Ulrych,Danilo R Velis,Mauricio D Sacchi.Wavelet esti-mation revisited[J].The Leading Edge,1995,14(11):1139-1142.
[4]尹成,唐斌,谢桂生.地震子波估计-高阶累积量矩阵方程法[J].信号处理,2000,16(sup):83-87.
[5]谢桂生,石玉梅,尹成.高阶累积量法子波估计与处理[J].石油物探,2000,39(4):19-25.
[6]张贤达.时间序列分析-高阶统计量方法[M].北京:清华大学出版社,1996:13-17.
[7]姚天任,孙洪.现代数字信号处理[M].武汉:华中科技大学出版社,1999:187-194.
[8]邹谋炎.反卷积和信号复原[M].北京:国防工业出版社,2001:46-53.
[9]Lisa APflug.Principal domains of thetrispectrum,signal bandwidth,and implications for deconvolution[J].Geophysics,May-June,2000,65(3):958-969.
[10]Huet C,Le Roux J.Some properties and algorithmsfor fourth order spectral analysis of complex signals[C].Munich,Germany:IEEEInternational Conference on Acoustics,Speech,and Signal Process-ing,1997:3641-3644.
[11]Cecile Huet,Joel Le Roux.Linear systemblind identification based onfourth order spectral analysis[J].Signal Processing,1999,77(2):209-238.
[12]杨闻采.地球物理反演的理论与方法[M].北京:地质出版社,1997:53-55.
[13]Levy S,Oldenburg D W.Automatic phase correction of common-midpoint stacked data[J].Geophysics,1987,52(1):51-59.
[14]Cerveny V,Psencik MI.地震学中的射线方法[M].刘福田译.北京:地质出版社,1986:22-26.
[15]高江,戴冠中.Bernoulli-Gaussian白噪声的一种似然比检测方法[J].自动化学报,1998,24(2):179-185.
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