3D Seismic Data Reconstruction based on Weighted Fast Iterative Shrinkage Thresholding algorithm  

基于加权快速迭代收缩阈值算法的三维地震数据重建

作　　者：Zhang Hua Qiu Da-Xing Mo Zi-Fen Hao Ya-Ju Wu Zhao-Qi Dai Meng-Xue 张华;邱达星;莫子奋;郝亚炬;武召祺;戴梦雪(东华理工大学铀资源探采与核遥感全国重点实验室,南昌330013;江西省地质局第六地质大队,南昌330095)

机构地区：[1]National Key Laboratory of Uranium Resources Exploration-Mining and Nuclear Remote Sensing,East China University of Technology,Nanchang,330013,Jiangxi,China [2]The Sixth Geological Brigade of Jiangxi Geological Bureau,330095,Jiangxi,China

出　　处：《Applied Geophysics》2025年第1期22-34,231,232,共15页应用地球物理(英文版)

基　　金：National Natural Science Foundation of China under Grant 42304145;Jiangxi Provincial Natural Science Foundation under Grant 20242BAB26051,20242BAB25191 and 20232BAB213077;Foundation of National Key Laboratory of Uranium Resources Exploration-Mining and Nuclear Remote Sensing under Grant 2024QZ-TD-13;Open Fund(FW0399-0002)of SINOPEC Key Laboratory of Geophysics。

摘　　要：Data reconstruction is a crucial step in seismic data preprocessing.To improve reconstruction speed and save memory,the commonly used three-dimensional(3D)seismic data reconstruction method divides the missing data into a series of time slices and independently reconstructs each time slice.However,when this strategy is employed,the potential correlations between two adjacent time slices are ignored,which degrades reconstruction performance.Therefore,this study proposes the use of a two-dimensional curvelet transform and the fast iterative shrinkage thresholding algorithm for data reconstruction.Based on the significant overlapping characteristics between the curvelet coefficient support sets of two adjacent time slices,a weighted operator is constructed in the curvelet domain using the prior support set provided by the previous reconstructed time slice to delineate the main energy distribution range,eff ectively providing prior information for reconstructing adjacent slices.Consequently,the resulting weighted fast iterative shrinkage thresholding algorithm can be used to reconstruct 3D seismic data.The processing of synthetic and field data shows that the proposed method has higher reconstruction accuracy and faster computational speed than the conventional fast iterative shrinkage thresholding algorithm for handling missing 3D seismic data.数据重建是地震数据预处理的关键步骤。为了提高重建速度和节省内存空间,常用的三维地震数据重建方法是将缺失数据分成一系列时间切片,然后独立地重建每个时间切片。然而,在使用这种策略时,忽略了两个相邻切片之间潜在的相关性,降低了重建效果。为此,本文拟结合二维曲波变换,采用快速迭代收缩阈值算法,根据两个相邻时间切片的曲波系数支撑集之间具有很大的相关性特点,在曲波域利用上一个已重建完成的时间切片提供的先验支撑集构建加权算子,圈定出主要能量分布范围,有效地为相邻待重建切片提供先验信息,从而实现了基于加权快速迭代收缩阈值算法的三维地震数据重建。理论和实际数据的处理表明,相比传统快速迭代收缩阈值算法,本文提出的方法重建精度更高,计算速度更快。

关 键 词：data reconstruction fast iterative shrinkage thresholding prior support set weighted operator 

分 类 号：P31[天文地球—固体地球物理学]