频域稀疏双曲Radon变换去噪方法  

Denoising method based on sparse hyperbolic Radon transform in the frequency domain

作　　者：贾春梅[1] 姜国庆[2] 刘志成[1] 许璐[1] 

机构地区：[1]中国石油化工股份有限公司石油物探技术研究院,江苏南京211103 [2]江苏省地质调查研究院基础地质研究所,江苏南京210018

出　　处：《物探与化探》2016年第3期527-533,共7页Geophysical and Geochemical Exploration

基　　金：中石化科技部项目(P14127);徐州城市地质调查;徐州地区岩溶塌陷调查项目(12120114022001)

摘　　要：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。Radon transform is a kind of technical method widely used in seismic data processing,but there are problems of low resolution and low computational efficiency in practical application. On the basis of phase shift hyperbola,the authors deduced time-invariant hyperbolic integral path,proposed sparse hyperbolic Radon transform based on Bayes principle,provided parameter selection principle 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.

关 键 词：RADON变换 稀疏Radon变换 随机噪声压制 时不变双曲线 

分 类 号：P631.4[天文地球—地质矿产勘探]