频域稀疏双曲Radon变换去噪方法

摘要

Radon transform is a kind of technical method widely used in seismic data processing,but there are problems of low reso⁃lution and low computational efficiency in practical application.On the basis of phase shift hyperbola,the authors deduced time⁃invari⁃ant hyperbolic integral path,proposed sparse hyperbolic Radon transform based on Bayes principle,provided parameter selection prin⁃ciple of discrete transform,and introduced dynamic time windows to ensure the condition that reflection waves of different layers have the best convergence.Sparse hyperbolic Radon transform in the frequency domain has higher resolution and it can be realized in the frequency domain,so the computational efficiency can be drastically improved.Model data test and actual application result show that sparse hyperbolic Radon transform in the frequency domain can effectively remove regular interference, suppress random noise and improve the signal⁃to⁃noise ratio;in addition,it also has better fidelity and amplitude preservation.%Radon变换是地震数据处理中广泛应用的一种技术方法，但实际应用中存在分辨率及运算效率低的问题。笔者在相移双曲线的基础上，推导了时不变双曲积分路径，提出了基于贝叶斯原理的稀疏双曲Radon变换，给出离散变换的参数选取准则，并且为保证不同反射层的反射波具有最佳收敛，在变换中引入了动态时窗。频域稀疏双曲Radon变换不仅具有较高的分辨率，而且可以在频域实现，计算效率大幅提高。模型数据测试和实际资料应用结果表明，频域稀疏双曲Radon变换可以有效去除规则干扰波、压制随机噪声，提高数据信噪比，且具有较好的保真度和保幅性。