基于联合稀疏表示的共偏移距道集随机噪声压制方法

doi:10.12108/yxyqc.20190510

岩性油气藏 ›› 2019, Vol. 31 ›› Issue (5): 92–100.doi: 10.12108/yxyqc.20190510

基于联合稀疏表示的共偏移距道集随机噪声压制方法

石战战^1,2, 夏艳晴¹, 周怀来², 王元君²

1. 成都理工大学工程技术学院, 四川乐山 614000;
2. 成都理工大学地球物理学院, 成都 610059

收稿日期:2019-03-28 修回日期:2019-05-20 出版日期:2019-09-21 发布日期:2019-09-16
第一作者:石战战(1985-),男,成都理工大学在读博士研究生,讲师,研究方向为储层预测。地址:(614000)四川省乐山市市中区肖坝路222号成都理工大学工程技术学院资源勘查与土木工程系。Email:shizhanzh@163.com。
基金资助:
国家科技重大专项课题子课题“双极子匹配追踪反演技术研究”（编号：2016ZX05026-001-005）和四川省教育厅项目“基于时频域波形分类的礁滩储层预测方法研究”（编号：16ZB0410）联合资助

Random noise attenuation based on joint sparse representation in common offset gathers

SHI Zhanzhan^1,2, XIA Yanqing¹, ZHOU Huailai², WANG Yuanjun²

1. The Engineering & Technical College of Chengdu University of Technology, Leshan 614000, Sichuan, China;
2. College of Geophysics, Chengdu University of Technology, Chengdu 610059, China

Received:2019-03-28 Revised:2019-05-20 Online:2019-09-21 Published:2019-09-16

摘要/Abstract

摘要： 受多解性和单道信号处理方法制约，传统基于稀疏表示的一维随机噪声压制方法面临着单道数据处理方法没有考虑有效信号的空间相关性，去噪的同时会损害有效波，以及稀疏表示算法具有多解性，相邻地震道处理结果差异大，难以适应信号空间变化的问题。叠前共偏移距道集中各波形均为水平同相轴，具有相同的双程旅行时间，各道信号具有相同的支撑。在该道集中利用联合稀疏表示进行随机噪声压制处理，能够兼顾信号的道间相干性和空间变化，降低算法的多解性，参与计算的各道在同一条件下获得最优稀疏表示，因此处理结果具有较好的一致性。数值模拟和实际资料试算结果表明，该方法不仅可以实现随机噪声的压制，而且可以很好地保持有效信号，具有良好的应用效果。

关键词: 联合稀疏表示, 交替方向乘子法, 共偏移距道集, 随机噪声压制, L_2,1范数拟合项

Abstract: Under the restriction of multiplicity and single-channel signal processing methods,the traditional onedimensional random noise attenuation method based on sparse representation faces two problems:Firstly,the single-channel signal processing method does not consider the spatial correlation of the effective signals,thus the de-noise performance degrades significantly and may damage effective waves. Secondly,the sparse representation algorithm suffers from multiplicity,and the processing results of adjacent seismic traces are quite different, which makes it difficult to adapt to the spatial variation. The waveforms in the pre-stack common offset gathers are characterized by horizontally events,and have the same two-way travel time. Therefore,each trace signal in a gather shares the universal support. In this gather,joint sparse representation was used to suppress random noise,which can balance the correlation between channels and spatial variations of signals so as to reduce the multi-solution of the algorithm. The optimal sparse representation was obtained under the same conditions for each channel participated in the calculation,so the processing result had good consistency. The results of numerical simulation and practical data trial show that the proposed method can suppress random noise and maintain the effective signal,and has a good application effect.

Key words: joint sparse representation, alternating direction method of multipliers, common offset gather, random noise attenuation, L_2,1-norm misfit function

中图分类号:

P631.4

石战战, 夏艳晴, 周怀来, 王元君. 基于联合稀疏表示的共偏移距道集随机噪声压制方法[J]. 岩性油气藏, 2019, 31(5): 92–100.

SHI Zhanzhan, XIA Yanqing, ZHOU Huailai, WANG Yuanjun. Random noise attenuation based on joint sparse representation in common offset gathers[J]. Lithologic Reservoirs, 2019, 31(5): 92–100.

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基于联合稀疏表示的共偏移距道集随机噪声压制方法

Random noise attenuation based on joint sparse representation in common offset gathers

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