基于维纳滤波的50Hz工业干扰去噪方法及应用
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摘要
50Hz工业干扰是地震资料中一种常见的噪声,由于它与有效信号的频率范围重叠,影响了地震资料的品质。常规的消除50Hz噪声的方法是陷波处理,它在切除噪声的同时,也切除了有效信号。提出了一种基于最小平方滤波原理的消除50Hz干扰的算法,通过设计一个参考正弦道,并通过维纳滤波器来调整该参考道的振幅和相位,从而使它与数据道中的50Hz噪声达到最佳匹配,用数据道减去参考道,即可达到单频去噪的目的。理论模型和实际资料处理表明,该方法既能准确实现单频去噪,又可避免吉布斯现象的发生,因此具有较高的保真度。
50 Hz power interference is very common in seismic data,which is overlapped with the frequencies of the effective signals and influences the quality of the processed data.Notch-filtering that is commonly used for removing 50 Hz interference may notch the signal when removing the noise.In this paper,we proposed a digital least-squares filtering algorithm for removing stationary sinusoidal noise.We firstly generate a sinusoidal reference trace and then adjust the amplitude and phase of the reference trace by a Wiener filter to match the 50Hz interference in the data trace.Finally,the reference trace is subtracted from the data trace.Tests on synthetic and real data show that this method not only removes the noises with single frequency,but also avoids Gibbs's phenomenon.It is of higher fidelity.
50 Hz power interference is very common in seismic data,which is overlapped with the frequencies of the effective signals and influences the quality of the processed data.Notch-filtering that is commonly used for removing 50 Hz interference may notch the signal when removing the noise.In this paper,we proposed a digital least-squares filtering algorithm for removing stationary sinusoidal noise.We firstly generate a sinusoidal reference trace and then adjust the amplitude and phase of the reference trace by a Wiener filter to match the 50Hz interference in the data trace.Finally,the reference trace is subtracted from the data trace.Tests on synthetic and real data show that this method not only removes the noises with single frequency,but also avoids Gibbs's phenomenon.It is of higher fidelity.
引文
1李振春,张军华.地震数据处理方法[M].山东东营:中国石油大学出版社,2004.60～63
2李文艳,牛彦良,吴明华.消除50Hz干扰波的地震资料处理新方法[J].大庆石油地质与开发,2001,20(5):67～68
3胡伟,吕小伟.压制地震资料中工业电干扰的余弦逼近法的改进及应用[J].物探与化探,2005,29(6):537～540
4Linville A F,Meek R A.Canceling stationary sinusoid-al noise[J].Geophysics,1992,57(11):1493～1501
2李文艳,牛彦良,吴明华.消除50Hz干扰波的地震资料处理新方法[J].大庆石油地质与开发,2001,20(5):67～68
3胡伟,吕小伟.压制地震资料中工业电干扰的余弦逼近法的改进及应用[J].物探与化探,2005,29(6):537～540
4Linville A F,Meek R A.Canceling stationary sinusoid-al noise[J].Geophysics,1992,57(11):1493～1501
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