基于峭度极大准则的线性相位移校正方法
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摘要
地震记录的高阶统计量包含子波的相位信息,因此利用地震记录的高阶统计量提取地震子波的方法得到了迅速发展.以褶积理论为基础的地震记录,其子波的线性相位信息已经丢失,使得估计子波相对于真实子波或多或少存在着一定的线性相位移动,给提取子波的应用带来了问题.提出一种以峭度值极大为准则的线性相位校正方法,验证该方法的有效性,并给出该方法的实现流程.
The higher-order statistics of seismic records contain the phase information of wavelet,so the method for extracting seismic wavelet by use of higher order statistics of seismic records has been developed rapidly.However,the seismic records based on the convolution theory has lost the linear phase information of wavelet.Consequently,relative to the original wavelet,the seismic wavelet extracted by use of higher-order statistics of seismic records will brings about some linear phase shift,which will cause some problems when using the extracted wavelet.In order to deal with this problem,a linear phase shift correction method based on maximum kurtosis criteria is found,the validity of this method is verified,and the implementation process of this method is given.
The higher-order statistics of seismic records contain the phase information of wavelet,so the method for extracting seismic wavelet by use of higher order statistics of seismic records has been developed rapidly.However,the seismic records based on the convolution theory has lost the linear phase information of wavelet.Consequently,relative to the original wavelet,the seismic wavelet extracted by use of higher-order statistics of seismic records will brings about some linear phase shift,which will cause some problems when using the extracted wavelet.In order to deal with this problem,a linear phase shift correction method based on maximum kurtosis criteria is found,the validity of this method is verified,and the implementation process of this method is given.
引文
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[2]Tadeusz J,Danilo R,Mauricio D.Wavelet esti mation revisited[J].The Leading Edge,1995,14(11):1139-1142.
[3]Cecile J.Linear systemblindidentification based on fourth order spectral analysis[J].Signal Processing,1999,77(2):209-238.
[4]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.
[5]戴永寿,魏磊,霍志勇.基于高阶累积量的线性化子波提取方法研究[J].中国石油大学学报,2006,30(4):24-29.
[6]黄健英,李录明,罗省贤.基于高阶谱的地震子波估计[J].成都理工大学学报:自然科学版,2006,33(2):188-192.
[7]袁子龙,李海山,刘洪林,等.三谱地震子波估计中三维窗函数的应用[J].大庆石油学院学报,2010,34(1):18-23.
[8]李大卫,田继东,成竹,等.基于高阶统计的混合相位子波估计及其处理[J].勘探地球物理进展,2005,28(2):117-121.
[9]曹艳玲,王修田.一种地震子波提取的高阶累积量方法[J].中国海洋大学学报,2008,38(3):461-467.
[10]Hyva¨rinen A,Karhunen J,Oja E.Independent component analysis[M].New York:John Wiley&Sons,Inc.,2001:37-39.
[11]Walden A T.Non-Gaussian reflectivity entropy and deconvolution[J].Geophysics,1985,50(12):2862-2888.
[12]李春峰.从多尺度反射系数的角度评估反褶积模型的适用性[J].勘探地球物理进展,2005,28(4):250-257.
[13]Tenorio L.Modeling non-gaussian reflectivities:generalizing wiener-levinson deconvolution[J].Geophysics,2001,66(6):1913-1920.
[14]印兴耀,刘杰,杨培杰.一种基于负熵的Bussgang地震盲反褶积方法[J].石油地球物理勘探,2007,42(5):499-505.
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