混合域高分辨率双曲Radon变换及其在多次波压制中的应用

High-resolution hyperbolic Radon transform and its application in multiple suppression

提出了一种快速且分辨率较高的双曲Radon变换方法。首先将地震道集数据沿时间轴进行平方变换,时间平方与截距时间平方呈线性关系,使得正、反Radon变换算子在频率域解耦;其次最优化反演求解目标函数时,在时间域内稀疏约束模型,而Radon变换算子在频率域实现,即混合域方式提高Radon域内分辨率;最后在反演计算过程中引入快速收缩迭代软阈值算法(FISTA)对稀疏反演优化问题进行求解,加快了反演收敛速度。模型和实际海上数据试算结果证明了混合域双曲Radon变换方法的计算效率和分辨率都较高。

We propose a fast and high-resolution hyperbolic Radon transform method. Fir st ly, the square transform is imple-mented on the seismic gather data along the time axis. Since the time square （τ^2） and intercept time square （τ^2） has a linear relationship, the decoupling can be implemented for forward and inverse Radon transform algorithm in the frequency domain Secondly,the sparse inverse problem is solved in the time domain and the Radon transforms are implemented in the frequency domain, so that the resolution of Radon transform is improved in the mixed frequency-time domain Thirdly,based on the fast iterative shrinkage-thresholding algorithm （FISTA） ,the sparse inversion can be accelerated. Synthetic and real offshore seis-mic data testing shows that the new hyperbolic Radon transform is robust and effective.