新疆师范大学学报（自然科学版）2025，Vol.44Issue(3)：17-22,6.
基于低秩Hankel矩阵分解的地震数据重建
Reconstruction of Seismic Data based on Low-rank Hankel Matrix Decomposition
摘要
Abstract
Reconstruction of seismic data is necessary due to physical and economic constraints and noise contamination,which makes seismic signal data missing,which will affect the subsequent processing and interpretation of seismic data.The low-rank and Hankel matrices are combined to reconstruct the random missing seismic data:a fast low-rank Hankel matrix decomposition method is used to perform the 2D reconstruction directly in the time domain,which decomposes the nuclear norm term substitution into the sum of the two matrices,avoiding the SVD computation,and accelerating the computation speed.In the solution,the alternating direction multiplier method is used for alternating iterative processing to further speed up the computation.Both synthetic data and actual seismic data tests verify the effectiveness of the method.Moreover,the method is superior to the f-k domain filtered reconstruction method in terms of reconstruction accuracy and signal-to-noise ratio.关键词
低秩/Hankel矩阵/地震数据重建/交替方向乘子法Key words
Low-rank/Hankel matrix/Seismic data reconstruction/Alternating direction multiplier method引用本文复制引用
秦思,田琳,肖兴明..基于低秩Hankel矩阵分解的地震数据重建[J].新疆师范大学学报（自然科学版）,2025,44(3):17-22,6.基金项目
新疆凝聚态相变与微结构实验室项目(XJDX912Z2413) （XJDX912Z2413）
伊犁师范大学基金资助项目(22XKZZ22) （22XKZZ22）
国家自然科学基金项目(61761043). （61761043）
