3D Seismic Data Reconstruction based on Weighted Fast Iterative Shrinkage Thresholding algorithm
Zhang Hua*, Qiu Da-Xing, Mo Zi-Fen, Hao Ya-Ju, Wu Zhao-Qi, and Dai Meng-Xue
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.
Abstract 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, effectively 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 fi eld 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.
Fund: This work was supported in part by the National Natural Science Foundation of China under Grant 42304145, in part by Jiangxi Provincial Natural Science Foundation under Grant 20242BAB26051, 20242BAB25191 and 20232BAB213077, and in part by the Foundation of National Key Laboratory of Uranium Resources Exploration-Mining and Nuclear Remote Sensing under Grant 2024QZ-TD-13.
About author: Zhang Hua received a bachelor’s degree in geological engineering (2004), a master’s degree in earth exploration and information technology (2007) from the School of China University of Mining and Technology, and a doctor’s degree in geological resources and geological Engineering from the School of China University of Petroleum (2013). He is currently a professor at the East China University of Technology. His research interests are data reconstruction, denoising, and deblending.
Cite this article:
. 3D Seismic Data Reconstruction based on Weighted Fast Iterative Shrinkage Thresholding algorithm[J]. APPLIED GEOPHYSICS, 2025, 22(1): 22-34.
2025, Vol. 22 
