一种加权抛物Radon变换地震波场重建方法

A WAVEFIELD RECONSTRUCTION APPROACH BASED ON WEIGHTED PARABOLIC RADON TRANSFORM

基于带限正反抛物Radon变换的基本原理和计算方法,笔者给出了一种加权抛物Radon变换(PRT)算法,该方法可应用于叠前地震波场恢复和重建,如缺失偏移距地震数据的插值外推和反假频重采样,其权系数完全由数据域来确定,也就是说在迭代计算过程中,该权系数也在变化。对于均匀采样的地震数据,笔者给出了近偏移距外推和波场的反假频重采样的计算结果,试算表明笔者给出的加权PRT方法可有效地应用于地震波场重建中,并具有算法稳健、计算精度高和效率高的特点。

A weighted parabolic Radon transform approach is proposed based on the basic principle and computation method of conven- tional band-limited forward and inverse parabolic radon transform. The proposed algorithm is applied to prestack seismic wavefield resto- ration and reconstruction, such as the missing offset interpolation and anti-alias resampling in the offset direction;The weight coefficient is determined by seismic data in x-r domain,i, e. ,the weight coefficient varies in different iteration processes. For the seismic data from uniform sampling, this paper gives the reconstruction result of missing near offset extrapolation and resampling for anti-alias seismic da- ta. The test results demonstrate that the presented weighted parabolic radon transform is effective for seismic wavefield reconstruction, with the characteristics of robustness, high precision and high efficiency.