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基于小波变换的地震映像法资料去噪研究
引用本文:武永胜,师学明,张剑,刘梦花,杨杰.基于小波变换的地震映像法资料去噪研究[J].工程地球物理学报,2008,5(5):584-589.
作者姓名:武永胜  师学明  张剑  刘梦花  杨杰
作者单位:中国地质大学地球物理与空间信息学院,武汉,430074
基金项目:湖北省杰出青年科学基金,国家自然科学基金
摘    要:本文介绍了小波分析方法在地震映像法资料去噪处理中的应用研究。首先,通过对球体模型进行射线追踪,得到了球体反射点与反射时间。然后,在MATLAB环境中采用一维小波变换和二维小波变换分别对地震映像资料进行去噪效果研究,进行阈值滤波试验结果表明Bal.sparsity_norm(sqrt)阈值计算方法的处理效果较好。通过一维小波变换和二维小波变换的对比分析,对于二维地震图像的处理,二维小波变换处理效果较佳。在此基础上,采用二维小波分析阈值滤波法,对中国地质大学数理楼西侧路面下方防空坑道的地震映像法资料进行了处理,取得了较好的去噪效果。

关 键 词:小波分析  地震映像法  阈值滤波  去噪  信号重构

Wavelet Analysis and Its Application To Denoising of Seismic Reflection Image Data
Wu Yongsheng,Shi Xueming,Zhang Jian,Liu Menghua,Yang Jie.Wavelet Analysis and Its Application To Denoising of Seismic Reflection Image Data[J].Chinese Journal of Engineering Geophysics,2008,5(5):584-589.
Authors:Wu Yongsheng  Shi Xueming  Zhang Jian  Liu Menghua  Yang Jie
Affiliation:(Institute of Geophysics and Geomatics, China University of Geosciences ,Wuhan 430074 ,China)
Abstract:This paper introduced the study of wavelet analysis in the data processing of seismic reflection imaging data.First,the ray tracing method was used for a standard sphere model which represented a Karst cave to obtain a seismic profile,then the one-dimensional wavelet transform and two-dimensional wavelet transform methods were studied for the denoising of the random Gauss noises.The results showed that Bal.sparsity_norm(sqrt) threshold filtering method was better than other methods in the MATLAB wavelet tools,and also two-dimensional wavelet transform was better than one-dimensional wavelet transform.On the basis of the synthetic model,the two-dimensional wavelet method was applied to the collected seismic reflection data of the west side of the road tunnel beneath in the mathematical building of China University of Geosciences.The results showed that wavelet denoised method achieved good results.
Keywords:wavelet analysis  seismic imaging method  threshold filtering  denoise  Signal reconstruction
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