快速3D抛物Radon变换地震数据保幅重建

为解决3D AVO地震数据快速保幅重建问题,在传统3D抛物Radon变换的基础上提出一种3D快速高阶抛物Radon变换方法.该方法将传统抛物Radon变换与正交多项式相结合,通过正交多项式系数描述地震数据AVO信息,确保重建后的地震数据具有良好保幅效果.同时,该方法引入新变量λ_x=q_xf和λ_y=q_yf,通过对q_xf和q_yf的整体采样,消除了3D高阶抛物Radon变换算子对频率的依赖,使变换算子的求逆过程仅需计算一次,大大节省计算时间.理论模型和实际地震资料的处理结果表明,该方法重建效率高,保幅效果良好.

Amplitude preserved seismic data reconstruction by fast 3D parabolic Radon transform

We propose a method to speed up the 3D high-order parabolic Radon transform by combining the traditional parabolic Radon transform and the orthogonal polynomials. Because the orthogonal polynomials can be used to represent the AVO characteristics of the data,the proposed method permits to reconstruct seismic data with amplitude preserved. This fast 3D high-order parabolic Radon transform makes the parabolic Radon transform operator be frequency independent by introducing new variables λ_x=q_xf and λ_y=q_yf, so that it only needs to calculate the inverse of the transform operator once during the data reconstruction, saving a large amount of computational time. The numerical examples of synthetic and real seismic data show that this method can perform reconstruction at a high efficiency and preserve amplitude well.