Random noise attenuation using local signal-and-noise orthogonalization

Random noise attenuation using local signal-and-noise orthogonalization
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DOI:
10.1190/geo2014-0227.1
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发表时间:
2015-11-01
期刊:
影响因子:
3.3
通讯作者:
Fomel, Sergey
Fomel, Sergey
中科院分区:
地球科学2区
文献类型:
--
作者:
Chen, Yangkang;Fomel, Sergey

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提出了一种基于局部信噪正交化的抑制随机噪声的新方法。在这种方法中,我们首先使用传统的去噪算子从地震剖面中去除信号,然后对初始去噪剖面应用加权算子来预测信号泄漏能量,并从初始噪声剖面中提取信号泄漏能量。加权算子是通过带光滑性约束的整形正则化求解最小二乘问题得到的。接下来,将初始去噪部分和恢复的信号组合以形成最终的去噪部分。所提出的去噪方法对应于对初始去噪的信号和噪声进行局部正交化。利用局部相似度对去噪性能进行了评估。为了检验估计信号和噪声的正交性,我们计算了去噪信号段和去噪段之间的局部相似图。局部相似度越低,正交化效果越好,去噪效果也越好。合成数据和现场数据实例表明,该方法在常规和同源地震数据去噪中的应用是有效的。
We have developed a novel approach to attenuate random noise based on local signal-and-noise orthogonalization. In this approach, we first removed from a seismic section using one of the conventional denoising operators and then applied a weighting operator to the initially denoised section to predict the signal-leakage energy, as well as retrieve it from the initial noise section. The weighting operator was obtained by solving a least-squares minimization problem via shaping regularization with a smoothness constraint. Next, the initially denoised section and the retrieved signal were combined to form the final denoised section. The proposed denoising approach corresponded to orthogonalizing the initially denoised signal and noise in a local manner. We evaluated the denoising performance using local similarity. To test the orthogonalization property of the estimated signal and noise, we calculated the local similarity map between the denoised signal section and removed noise section. Low values of local similarity indicated a good orthogonalization and thus a good denoising performance. Synthetic and field data examples revealed the effectiveness of the proposed approach in applications to noise attenuation for conventional and simultaneous-source seismic data.