多次波是地震勘探中主要的干扰波，有效压制多次波对提高地震成像质量具有重要意义。地震数据Radon变换可以分离一次波和多次波，其在Radon域的分离程度是压制多次波的关键。目前高分辨率Radon变换可以改善Radon变换分辨率，但是地震波的AVO现象制约了Radon变换分辨率提高，降低多次波压制效果。本项目根据地震波振幅随炮检距传播规律，提出将Radon变换与正交多项式变换结合的高阶高分辨率Radon变换新思想。系统推导高阶Radon变换及其重建理论，分析地震数据在高阶Radon空间的分布特征，研究适合地震数据特征的Radon变换子空间提取策略，形成基于稀疏反演的高阶高分辨率Radon变换多次波压制新方法。该方法对剩余时差较小的多次波压制更加有效，并能够保留一次波AVO特性。本研究将进一步完善和提升Radon变换压制多次波理论，提高地震资料处理品质，对地震成像和解释具有重要的实际应用价值。

Multiple is one of serious coherent noises in seismic exploration and its attenuation will improve seismic imaging.Radon transform is a widely used tool to attenuate multiples and the resolution of Radon transform is the key for the suppression results. Spare Radon transform improved the Radon resolution, but the AVO will limit the resolution and results in residual multiples. This project aims at both improving Radon resolution and keeping AVO. A new method, high order high resolution Radon transform, is proposed incorporating Radon transform and orthogonal polynomial transform. The mechanism of high order Radon transform is deduced systematically and the transform subspace is extracted according the characters of seismic data, finally the method of high order high resolution Radon transform is established utilizing sparse inversion theory. This method will be effective to multiples with small residuals and can keep AVO at the same time. It will perfect the Radon transform theory,improve the quality of seismic data processing and have important application value for seismic imaging and interpretation.