A Seismic Data Reconstruction Method With High-order 3D Radon Transform

Radon transform is a common method used in seismic data reconstruction and multiple wave suppression,and the basic idea is to map the events in the time space domain to different energy points in the Radon domain,through the inverse transform to achieve the purpose of data reconstruction.Seismic wave's characteristics of amplitude versus offset distance(AVO)contains a lot of seismic exploration information,plays an important role in the seismic data in the rock and reservoir prediction layer,but the conventional Radon transform in AVO data processing will loss the amplitude variation informationThis thesis introduces the principle of Rado n transform with high resolution Radon transform and high resolution transform,and analyzes the reason why the traditional Radon transform can not keep the change of amplitude.Based on high order 2D Radon transform and 3D Radon transform,a high order 3D Radon transform is proposed to keep the amplitude lateral continuation in both inline and crossline directions.This method first expands the orthogonal polynomial transform to 2 dimensions and then embeds it to 3D Radon transform,called high order 3D Radon transform.The proposed method integrates gradient and curvature parameters of event amplitude variation into the 3D Radon transform.With these additional properties,the different direction lateral continuity of the events' amplitude is modeled in the transformation,which also improves the resolution of Radon transform.The experiments of synthetic and field data show good results in denoising and reconstruction.