Tau—p变换和平面波分解

Tau-p Transform and Plane Wave Decomposition

本文回顾了τ-p变换的基本原理并详尽地讨论了τ-p变换和平面波分解的关系。对于线源地震资料,τ-p正变换近似地把t—x域内波场分解成τ-p域内的平面波,τ-p反变换使用τ-p资料在t-x域内重建这个波场。只有改进后的τ-p变换能处理点源地震资料并进行真正的平面波分解。对于点源资料,提出时间域及频率域τ-p变换二种方法。

In this paper, the basic principle of τ-p transform is reviewed and the relationship between τ-p transform and plane wave decomposition is discussed in detail. For line-source data, the forward τ-p transform approximately decomposes a t-x wavefield into plane wave elements displayed in the (τ,p )-domain and the inverse T-p transform reconstructs a seismic wavefield in the (x,t )- domain from τ-p data. Only 'proper' τ-p transform can deal with point-source data and perform exact plane wave decomposition. Two methods of t-p transform in both the time domain and frequency domain are presented for point-source data.