基于Curvelet域的叠前地震资料去噪方法
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摘要
本文论述了基于Curvelet域的叠前地震资料去除随机噪声的方法思路,在Curvelet域通过多尺度分解,在曲线变化特征良好逼近的基础上采用非线性阈值方法,对叠前地震资料进行处理。通过本文的数值计算以及对实际资料的处理表明,基于Curvelet域的去噪方法可以有效压制地震剖面中的随机噪声,数值计算结果均方误差最小,信噪比最高,实际地震处理剖面视觉效果好,反射波同相轴清晰、连续性好,可为叠前偏移、AVO分析等后续处理解释提供高信噪比的地震资料。
The paper expounded idea of method for eliminating random noise of prestack seismic data on the basis of Curvelet domain. The processing of prestack seismic data is carried out by using non-linear threshold method in Curvelet domain through multi-scale decomposition and on the basis of curve changing feature having good approach. It is showed by numeric computation and processing of practical data in the paper that Curvelet domain-based denoise method can effectively suppress random noises on the seismic section: numeric computation showed minimum mean-square error and the highest S/N ratio, and processing of practical seismic sections showed good visual effect on the sections, which is characterized by clear and continuous events of reflections and provides as seismic data with higher S/N ratio for the following processing and interpretation such as prestack migration and AVO analysis etc.
The paper expounded idea of method for eliminating random noise of prestack seismic data on the basis of Curvelet domain. The processing of prestack seismic data is carried out by using non-linear threshold method in Curvelet domain through multi-scale decomposition and on the basis of curve changing feature having good approach. It is showed by numeric computation and processing of practical data in the paper that Curvelet domain-based denoise method can effectively suppress random noises on the seismic section: numeric computation showed minimum mean-square error and the highest S/N ratio, and processing of practical seismic sections showed good visual effect on the sections, which is characterized by clear and continuous events of reflections and provides as seismic data with higher S/N ratio for the following processing and interpretation such as prestack migration and AVO analysis etc.
引文
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[15]夏洪瑞,周开明.地震资料处理中相干干扰消除方法分析.石油物探,2003,42(4):526~528
[16]勾丽敏等.噪声对叠前深度偏移层速度精度的影响分析.石油地球物理勘探,2007,42(2):156~163
[2]高静怀,毛剑,满蔚仕等.叠前地震资料噪声衰减的小波域方法研究.地球物理学报,2006,49(4):1155~1163
[3]韩文功等.地震技术新进展.山东东营:石油大学出版社,2006,53~196
[4]吴常玉,王棣,王立歆,李守济.叠前预处理技术.石油地球物理勘探,2007,42(1):34~37
[5]詹毅.地震资料叠前去噪方法研究.成都理工大学博士学位论文,2005
[6]梁运基.地震资料的小波域与高阶统计量联合处理解释及其在泌阳凹陷的应用.中国地质大学博士学位论文,2006
[7]Mallat S.Atheory for multiresolution signal decom-position:The wavelet representation.IEEE Trans-actions on Pattern Analysis and Machine Intelli-gence,1989,11(7):674~693
[8]Cande′s E J,Donoho D L.Ridgelets:a key to high-di mensional intermittency.Phil Trans R Soc Lond A,1999,357:2495~2509
[9]Donoho D L.Ridge functions and orthonormal ridge-lets.Journal of Approxi mation Theory,2001,111:143~179
[10]Arivazhagan S et al.Texture classification using ridgelet transform.Pattern Recognition Letters,2006,27:1875~1883
[11]Zhang Henglei,Liu Tianyou.Study of Ridgelet trans-formini mproving S/Nratio of seismic data in South China.Journal of China University of Geosciences,2007,18:507~509
[12]Jean-Lue Starck et al.The curvelet transformfor i m-age denoising.IEEE Trans on Image Processing,2002,11(6):670~684
[13]Cand埁s E J,Donoho D L.Continuous curvelet trans-form.Appl Comput Harmon Anal,2005,19:198~222
[14]刘天佑等.大型积分方程降阶解法与重力资料曲面延拓.地球物理学报,2007,50(1):290~296
[15]夏洪瑞,周开明.地震资料处理中相干干扰消除方法分析.石油物探,2003,42(4):526~528
[16]勾丽敏等.噪声对叠前深度偏移层速度精度的影响分析.石油地球物理勘探,2007,42(2):156~163
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