基于低信噪比条件下新型Seislet变换的阈值去噪方法

doi:10.13278/j.cnki.jjuese.201501303

吉林大学学报(地球科学版) ›› 2015, Vol. 45 ›› Issue (1): 293-301.doi: 10.13278/j.cnki.jjuese.201501303

基于低信噪比条件下新型Seislet变换的阈值去噪方法

刘财¹, 崔芳姿¹, 刘洋¹, 王典¹, 刘殿秘², 张鹏¹

1. 吉林大学地球探测科学与技术学院, 长春 130026;
2. 中国石油吉林油田公司地球物理勘探研究院, 吉林松原 138000

收稿日期:2014-01-16 发布日期:2015-01-26
通讯作者: 刘洋(1979), 男, 教授, 主要从事地震数据处理, 海洋电磁数据处理和地质-地球物理综合研究等工作, E-mail:yangliu1979@jlu.edu.cn E-mail:yangliu1979@jlu.edu.cn
作者简介:刘财(1963), 男, 教授, 博士生导师, 主要从事地震波场正反演理论、综合地球物理等研究, E-mail:liucai@jlu.edu.cn
基金资助:
国家自然科学基金项目(41274119,41174080);国家"863"重大计划项目(2012AA09A20103)

Threshold Denoising Method Based on New Seislet Transform in the Condition of Low SNR

Liu Cai¹, Cui Fangzi¹, Liu Yang¹, Wang Dian¹, Liu Dianmi², Zhang Peng¹

1. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China;
2. Research Institute of Geophysical Prospecting, Jilin Oilfield Company, CNPC, Songyuan 138000, Jilin, China

Received:2014-01-16 Published:2015-01-26

摘要/Abstract

摘要：

Seislet变换是一种类小波变换方法, 主要根据小波基沿地震同相轴的局部倾角方向来分析数据, 其中, 局部地震倾角的表征是该方法的核心。局部倾角的求取方法有很多种, 但是往往在低信噪比的条件下存在着一些局限。根据共中心点道集中基于时距关系的地震倾角定义, 提出一种适应于低信噪比条件下的倾角求取方法。对比基于时距关系与平面波分解滤波器计算出的局部地震倾角, 结果证明, 该方法能更加准确地表征低信噪比条件下同相轴的倾角信息。将基于时距关系的局部地震倾角用于Seislet框架, 建立表征低信噪比数据的新型Seislet变换方法。在地震数据处理中, 引入语音信号中改进的阈值方法。结合新型Seislet变换, 提出阈值去噪方法, 此方法不但适于地震数据, 而且在提高信噪比方面也优于传统的阈值去噪方法。实际数据处理的结果验证了新型Seislet变换与改进阈值去噪方法的组合能够有效地解决低信噪比条件下的信号提取任务。

关键词: Seislet变换, 低信噪比, 局部地震倾角, 阈值, 去噪

Abstract:

Seislet transform is a wavelet-like transform based on wavelet base that analyzes seismic data along variable local event slopes. The calculation of the local event slopes is the key step of this method.There are many kinds of methods to calculate the local slopes. But in the condition of low SNR, these methods have some limits. We propose a method that is suitable for low SNR based on the definition of the slopes of t-x relationship in CMP traces. Comparing the slopes of t-x relationship in CMP traces with PWD method, we can see that the new method is more accurate in calculating the local slopes. Apply these slopes to Seislet frame to establish a new Seislet transform that characterize low SNR data. In seismic data processing, we introduce one method which works well for acoustic signals. We propose the new threshold method with Seislet transform. It is not only suitable for seismic signals, but also better than the traditional threshold method to improve SNR. The results show that the combination of the new Seislet transform and improved threshold method can extract signal in the condition of low SNR effectively.

Key words: Seislet transform, low SNR, local event slope, threshold, denoising

中图分类号:

P631.4

刘财, 崔芳姿, 刘洋, 王典, 刘殿秘, 张鹏. 基于低信噪比条件下新型Seislet变换的阈值去噪方法[J]. 吉林大学学报(地球科学版), 2015, 45(1): 293-301.

Liu Cai, Cui Fangzi, Liu Yang, Wang Dian, Liu Dianmi, Zhang Peng. Threshold Denoising Method Based on New Seislet Transform in the Condition of Low SNR[J]. Journal of Jilin University(Earth Science Edition), 2015, 45(1): 293-301.

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基于低信噪比条件下新型Seislet变换的阈值去噪方法

Threshold Denoising Method Based on New Seislet Transform in the Condition of Low SNR

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