希尔伯特变换子波反褶积

1987年 26卷 第No. 1期
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WAVELET DECONVOLUTION BY USE OF HILBERT TRANSFORMATION
地矿部北京计算中心
在具有常规脉冲反褶积(DECON)相同条件的前提下,希尔伯特变换子波反褶积是利用多道振幅谱的几何平均值求取子波,并对所求的子波作各种整形,然后作反褶积,从而有利于提高地震资料的横向连续性和分辨率.试验结果表明,效果是显著的,并得到了有关专家的好评.同时,希尔伯特变换法利用了实因果序列的性质,所以提取子波方法简单,实现方便,且一个反褶积因子可应用于许多道,节省了求因子的时间。本文介绍了希尔伯特变换提取子波的理论推导和几个实现的方案,子波整形及反褶积的方法,并给出了实际资料处理的实例。
With the same prerequisite as the conventional pulse deconvolutionhas, the steps of Hilbert wavelet deconvolution can be divided as follows! firstly, to extract the wavelet by dint of the geometric mean value of the amplitude spectrum of more than one channels) secondly, to make the wavelet shaping; and lastly, to do the deconvolution. For this reason, it can get better continuity and resolution. Its effectiveness has been proved by test and favourable comments were made by experts concerned. For the cause that one deconvolution factor can be applied to a lot of channels, hence, the time for factor extraction could be saved to a great extent. In this paper, the extraction of wavelet by Hilbert transformation was examined in theory and the schemes for its implementation were presented. The technique for wavelet shaping and de-convolution were also given. Examples processed with real data were shown in this paper as well.