【摘要】 Radon变换是地球物理数据处理中的重要方法之一,传统的Radon变换有t-x法、F-K法和F-x法。与目前发展起来的方法比较,传统方法具有稳定性高和容易实现的优势,在实际的资料处理中仍占有重要的位置。在这三种传统方法中,t-x法和F-K法由于涉及到插值,所以不可避免地存在误差;F-x法不需插值,计算精度较高,但是由于存在着大量的复数运算,所以影响了计算效率。这里针对F-x域Radon变换的数据计算特征,把矩阵与向量相乘改写为向量与向量卷积的形式,并利用快速傅立叶变换(FFT)来实现快速卷积运算,提高了F-x法的计算效率。更多还原

【Abstract】 Radon transform is an important data processing method in geophysics field. There are mainly three traditional methods: t-x method, F-K method, and F-x method. Comparing with other recently developed methods, traditional methods have advantages of stable and less computation and still play an important role in real data seismic processing. Among these three traditional methods, t-x method and F-K method will result in error because they are involved in interpolation, and F-x method doesn’t need interpolation and has higher accuracy. However, traditional F-x method is involved in many complex computations and its efficiency descends.In this paper, based on the characteristics of radon transform in F-x field, we improve F-x method’s computation efficiency by rewriting the form of matrix and vector’s multiply into the form of vector and vector’s convolution, and making use of FFT algorithm to implement fast convolution.更多还原