多小波方法及其在深地震测深数据去噪中的应用

Multi-wavelet Method as Well as its Application to DSS Data De-noising

在宽角反射/折射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去噪方法。鉴于傅里叶方法对稳态信号很有效但对非稳态的地震信号效果不佳的状况以及小波不能同时具有正交性、紧支性、对称性,本文给出了基于多小波的去噪方法,多小波具有正交性、对称性、紧支性,克服了传统小波的缺陷。编写了多小波去噪方法的人机交互软件。该软件可以方便快捷地显示宽角反射/折射地震记录截面,进行多小波域的阈值去噪。实例计算结果表明,本文所述方法和编写的软件有效且可行。

In wide angle reflection/refraction seismic sounding data processing, filtering and denoising methods based on Fourier transform and wavelet denoising method are still used. In view of the problem that there are inherent defects using the Fourier transform to process non-steady state seismic signal and that there not are the orthogonality, tight branch, and symmetry in wavelet transform at the same time, multi-wavelet denoising method is given, which has orthogonality, symmetry, compact, and overcomes the defect of traditional wavelet. Graphical user interface software is written based on the multi-wavelet in this paper. The software can show quickly and easily wide angle reflection/refraction seismic record section, can do adaptive threshold denoising in the multi-wavelet domain. Examples show that the methods and software in this paper are effective and feasible.