The adaptive complex shock diffusion for seismic random noise attenuation

摘要

The seismic image is composed of many texture structures, which are the important basis for geologist to describe the subsurface structures. Therefore, it is significant to restore these texture structures that are distorted by seismic random noise and make them clearer to identify. In this paper, a texture detection function and an adaptive threshold function are proposed by combining the complex shock diffusion (CSD) and the structure tensor. The adaptive complex shock diffusion (ACSD) algorithm utilizes the texture detection function to adjust the threshold function, so that the diffusion coefficient of the gradient direction can be obtained by the imaginary part of the complex diffusion and the proposed adaptive threshold function. Therefore, the coherent structures can be preserved while denoising. The results of synthetic data and field data show that the ACSD has better performance in signal amplitude preservation and random noise attenuation compared to the CSD. The texture structures become clearer and more continuous.