Radon变换在VSP波场分离中的应用

从数学上讲，Radon 变换表示一种映射关系。VSP 观测中的上、下行波通过这种关系可以分别映射到τ-p 平面的正、负半平面上，从而使上、下行波得到分离。利用 Radon 变换，并考虑波的振动特性，还能将上、下行的纵、横波进行分离。为了提高 Radon 变换的分离效果，除对波场的边界处采取平滑处理之外，在沿某一斜率叠加时，应尽量选取与此斜率相近的波参与叠加，对于偏离此斜率较大的波给予适当的压制。

Application of the Radon transform to VSP wave field separation.

Mathematically,the Radon transform means a mapping relation,By using this relation,downgoing and upgoing waves in VSP data cart be respectively mapped onto positive and negative half-planes of the τ-p plane,so that they are parted from each other.Furthermore,upgo-ing or downgoing P wave and S wave can be separated off using the Radon transform and polarization property,In order to improve separa-tion effect of the Radon transform in the case of stacking along a spe-cified slope,besides wave-field boundary smoothing processing,the wa-ves whose slopes are close to the specified slope should be stacked as many as possible while the waves whose slopes deviate the specified slope quite greatly should be suppressed adequately.