多尺度τ-p谱及其应用

MULTI-SCALE τ-ｐ SPECTRUM AND ITS APPLICATION

把小波变换与τ-ｐ变换有机地结合起来，本文提出了多尺度τ-ｐ谱的概念，给出了基于多尺度τ-ｐ谱作滤波处理和波场分离的方法．与通常的τ-ｐ变换相比，该方法将x－t域的地震记录变换到（τ，p，a）或（τ,p，f）空间（即多尺度τ-ｐ谱）．多尺度τ-ｐ谱比通常τ-ｐ谱增加了一维，因此用于波场分离或去噪，前者优于后者．若恰当地选择小波函数，该方法抗噪能力强，计算精度高．文中给出了模型及实际地震资料处理实例；证明了此方法的有效性．

In this paper, based on wavelet transform and τ-ｐ transform, a new representation of seismic data, multi-scales τ-ｐ spectrurn is presented, which is obtained through transformation of seismic data from (t,x) to (τ,p,a) or (τ, p,f) domain.A method of filtering or wavefield separahon in (τ,p,a) domain is given. Comparing with tradihonal (τ, p) filtering, this new method has several advantages such as easier wavefield separation, higher precision and stronger denoise performance if a proper wavelet funchon is chosen. Both the synthetic seismogram and the field data tests illustrate its effechveness for this method.