【摘要】 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。更多还原

【Abstract】 A weighted parabolic Radon transform approach is proposed based on the basic principle and computation method of conventional band-limited forward and inverse parabolic radon transform.The proposed algorithm is applied to prestack seismic wavefield restoration 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-τ 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 data.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.更多还原