二维小波变换在消除相干噪声中的应用
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摘要
相干噪声常使地震记录中的反射同相轴模糊不清，使得处理解释难以进行。而常规的各种ｆ－ｋ滤波技术不能对其有效地消除，且每种技术都有其局限性，容易产生人为假象，使信号发生很大畸变。我们的技术是利用二维小波变换，把二维地震信号变换到有关频率、时间、波数、空间的一个四维函数。根据信号和相干噪声在频率、时间、波数、空间等方面的局部差异来达到滤波的目的。经过对实际炮集数据的处理表明该方法比ｆ－ｋ滤波技术消除噪声的效果要好，信号的畸变程度更低，并且没有任何限制条件。
Coherent noise often make the reflect events in the seismic record biguous, and affect the processing and interpretion.Conventional various f k techniques can not remove the noise effectively. And every technique has its own limition. Our technique is to fully utilize 2 D wavelet transform, map 2 D data to a four dimentional space about time, frequency, space, wavenumber. According to localized differences between the signal and noise in four dimensional apace, we can effectively filter the noise. Real data processing results show that it is better than f k filter.
Coherent noise often make the reflect events in the seismic record biguous, and affect the processing and interpretion.Conventional various f k techniques can not remove the noise effectively. And every technique has its own limition. Our technique is to fully utilize 2 D wavelet transform, map 2 D data to a four dimentional space about time, frequency, space, wavenumber. According to localized differences between the signal and noise in four dimensional apace, we can effectively filter the noise. Real data processing results show that it is better than f k filter.
引文
1秦前清，杨宗凯．实用小波分析．西安：西安电子科技大学出版社，19942BeylkinG，CoifmanR，RokhlinV．Fastwaveletandnumericalalgorithms．Comm．PureandAp－pli．Maith．，19913DaubiechiesI．Tenlecturesonwavelets．CaptialCityPress，Monterpelier，Vermont，1992
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