f-x域Cadzow技术分块压制随机噪声及其应用

Random noise attenuation with Cadzow technique in f-x domain and its application

(1.中国石油化工股份有限公司石油物探技术研究院,江苏南京211103;2.中国海洋石油总公司研究总院,北京100027)

Cui Shuguo,Sinopec Geophysical Research Institute,Nanjing 211103,China

摘要:介绍了一种f-x域Cadzow滤波分块压制随机噪声的技术。首先构建Hankel矩阵,然后利用复数域奇异值分解(SVD)技术进行特征值分解,利用优选特征值的加权并通过替换频率切片实现随机噪声的压制。采用分块处理解决实际地震资料中存在的倾角变化非稳态问题，与传统的假设同相轴水平的SVD技术相比,该技术无需对同相轴进行任何相对时差校正,在假设线性同相轴条件下适应同相轴交错的复杂情况。模型数据处理结果表明,如果地层的倾角个数与选取的特征值个数相同,则对无噪数据没有损害。实际资料处理结果表明,f-x域Cadzow滤波技术是一种稳健的压制随机噪声的技术。

The Cadzow technique in f-x domain was presented to attenuate random noise in a patch manner.Firstly,a Hankel matrix is constructed.Then,the Singular Value Decomposition(SVD) technique is used to decompose eigenvalues in complex field, and random noise is attenuated by replacing constant-frequency slices with the optimum weighted eigenvalues.Patch processing is utilized to solve the problem of nonstationary variation of dip angle in actual seismic data.Compared with the traditional SVD technique with the hypothesis of horizontal events,our technique does not require any assumption on the orientation of events,which does not need the relative moveout correction on the event.Meanwhile,the method is suitable for both flat and dipping events with the assumption of linear events.The model testing result indicates that the signal of the seismic data without noise will not be damaged if the number of formation dip is equal to the number of selected eigenvalues.The actual application shows that the Cadzow technique technique in f-x domain is robust for random noise attenuation.

10.3969/j.issn.1000-1441.2012.01.006