物探与化探2024，Vol.48Issue(2)：479-488,10.DOI:10.11720/wtyht.2024.1404
基于降秩和稀疏联合约束的地震数据同时重建和去噪
Simultaneous reconstruction and denoising of seismic data based on rank reduction and sparsity constraints
摘要
Abstract
Field seismic data contain various random noise and irregular channel missing.Their simultaneous reconstruction and de-noising is necessary for subsequent data processing.Currently,most simultaneous reconstruction and denoising methods only use a sin-gle sparsity or rank reduction constraint.The sparsity constraint exhibits high efficiency but lacks adaptability to various data.In con-trast,the rank reduction constraint can adapt to various data but shows a high computational cost.To take a full advantage of different constraints,this study proposed a method for simultaneous reconstruction and denoising of seismic data based on combined constraints.This method regards projection onto convex sets(POCS)based on Fourier transform as the sparsity constraint,and damped multichan-nel singular spectrum analysis(DMSSA)as the rank reduction constraint.It employs the truncated singular value decomposition(TS-VD)algorithm and the exponential threshold equation,fully utilizing the high computational efficiency of the sparsity constraint and the strong adaptability of the rank reduction constraint.As indicated by the processing results of theoretical and field data,this method based on combined constraints can consider and utilize the spatio-temporal correlations of seismic data,achieving higher signal-to-noise ratios via fewer iterations compared to methods based on a single constraint.关键词
阻尼多道奇异谱分析/凸集投影算法/重建/去噪Key words
damped multichannel singular spectrum analysis/projection onto convex sets/reconstruction/denoising分类
天文与地球科学引用本文复制引用
李文杰,张华,任望,叶海龙,武召祺,杨熙熙,彭清..基于降秩和稀疏联合约束的地震数据同时重建和去噪[J].物探与化探,2024,48(2):479-488,10.基金项目
国家自然科学基金项目(41874126) （41874126）
江西省重点研发计划"揭榜挂帅"项目(20223BBG74005) （20223BBG74005）
