小波变换与F-K联合滤波在面波分离中的应用

Application of Combining Wavelet Transform and F-K Filtering in Surface Wave Separation

作为一种时频分解方法,小波变换有着广泛的用途,而且与传统Fourier变换相比,它能刻画出具有相同频率的有效波与面波在时间—空间域的分布,但是仅靠小波变换分离面波,效果十分有限,可使用小波变换与F-K滤波方法联合对面波进行分离,具体做法是:用小波变换对地震波场进行多分辨率分析,对面波产生的区域进行F-K滤波,从中提取有效信号,再与其他信号一起进行重构,即可得到分离面波后的地震波场。通过实际资料的处理结果表明:该法在在分离面波方面具有良好的效果。

As a time-frequency decomposition method, the wavelet transform has extensive usages. It can divide the seismic data in more detail and better describe the distribution of effective wave and surface wave in the time-space domain with same frequency compared with conventional Fourier transform. But the result is very limited only by wavelet transform; the paper separated the surface wave field by the combining wavelet transform and F-K filtering. The technique recommended here has steps of： firstly processing the wavelet transform＇s multi-resolution analysis on the seismic wave filed, processing surface wave area through F-K filtering, then picking up effective wave from it, finally together with other signals, through reconstructing we can get the seismic wave field without surface wave. Real data results show that it has a good result in surface wave separation.