小波(包)滤波方法的GUI及其在深地震测深数据处理中的应用

GUI for De-Noising in Wavelet (Packet) Method and Its Application to DSS Data Processing

在深地震测深数据处理中,仍多用基于傅里叶变换的滤波方法和小波二阶相关去噪方法。鉴于傅里叶变换方法对非稳态的地震信号不能提供在时频上的任何局部信息,而小波和小波包方法弥补了傅里叶变换的不足,能够提供时频上的任何局部信息,且高阶相关比二阶相关对随机噪声有更好的抑制和去除作用,本文结合小波和小波包去噪方法以及高阶相关去噪方法,编写了深地震测深数据处理的小波和小波包滤波方法的人机交互软件,用于抑制和去除地震信号中的加性高斯随机噪声。该软件可以方便快捷地显示深地震测深的地震记录截面,进行小波域的自适应阈值去噪、小波域和小波包域的二阶和高阶相关去噪以及基于傅氏变换的常规滤波。实例计算结果表明,方法和程序是有效且可行的。

In a deep seismic sounding data processing, filtering methods based on the Fourier transform and second-order correlation denoising in the wavelet domain are still used. In view of the fact that the local time-frequency information can not be obtained with the Fourier transform in processing non-steady state seismic signals, which can be obtained with the wavelet （packet） transform, and also of the fact that the higher-order correlation denoising is better than a second-order correlation denoising, graphical user interface software is developed based on the wavelet and wavelet packet denoising as well as higher-order correlation denoising method, which can be used to eliminate the additive Gaussian white noise. The software can quickly and easily display seismic record sections, can do adaptive threshold denoising in the wavelet domain, can do the second-order and higher-order correlation denoising in the wavelet and wavelet packet domains, and can do also the filtering based on the Fourier transform. Examples of the deep seismic sounding data show that the methods and software are effective.