扩散滤波方法在地震资料处理中的应用研究

Application of diffusion filtering method to the seismic data processing

从各向异性扩散滤波方程出发,给出了其对应的数值离散公式及其最简单的各向同性扩散滤波离散计算公式,开展了扩散滤波方法在低频逆时偏移噪音的多尺度分离、地震反射波和散射波波场的相对分离、保断层边缘的随机噪音压制以及地震数据插值处理等4个方面的应用,并给出了其对应的应用假设条件。计算结果表明,扩散滤波方法可在不同应用假设条件下取得较好的处理效果。该方法可指导实际地震资料数字处理。

Based on anisotropic diffusion filtering equation, this paper presented the corresponding numerical equation, together with its simplest anisotropic diffusion filtering numerical equation. Then, we applied diffusion filtering method to four aspects of application, such as multi-scale low-frequency reverse-time migration noise suppression, seismic reflection wave and scattered wave relatively separating processing, holding fault boundary random noise suppression and pre-stack and post-stack seismic data interpolation processing, and also presented each assumed condition of the applications. The computation results show that the diffusion filtering method can be used to obtain good processing results under different assumed conditions and instruct the practical seismic data digital processing.