基于Shearlet变换的地震随机噪声压制
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摘要
地震勘探中的噪声对地震信号产生严重的畸变和干扰,常规的地震去噪方法已经不能满足当前高精度地震勘探的要求。提出了基于Shearlet变换的地震数据去噪方法,Shearlet变换是一种新的多尺度变换方法,具有多方向、多分辨率及最佳稀疏逼近性质,并且计算效率高。Shearlet变换在去除随机噪声的同时能最大程度保留有效信号,有效地提高信噪比。利用Shearlet变换阈值去噪法与其他地震去噪方法分别对不同信噪比的合成地震记录和实际地震记录进行对比,结果表明Shearlet变换具有更强的去噪能力和更高的运算效率。
In seismic exploration,the noise seriously distorts and interferes with seismic signal.Conventional methods of seismic data denoising can no longer meet the requirements of high-resolution seismic exploration.In this study,a method of seismic data denoising is proposed based on the shearlet transform,a new multi-scale transform with multi-directions,multi-resolutions,and optimal sparse approximation properties as well as high computational efficiency.The shearlet transform can get rid of random noise while retaining effective signals to the maximum degree,thereby effectively improving the signal-to-noise ratio.It is applied to synthetic and field seismic data with different signal-to-noise ratios,and compared with conventional methods of seismic data denoising.Results show that the shearlet transform is competitive in denoising applications in terms of both performance and computational efficiency.
引文
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