石油物探2018，Vol.57Issue(1)：50-57,71,9.DOI:10.3969/j.issn.1000-1441.2018.01.007
压缩感知理论下基于快速不动点连续算法的地震数据重建
Seismic data reconstruction using FFPC algorithm based on compressive sensing
摘要
Abstract
Due to the limitations in acquisition conditions,seismic exploration data is usually incomplete and thus influences subse-quent seismic data processing.In this paper,a Fast Fixed Point Continuation (FFPC)algorithm based on compressive sensing theo-ry is used to reconstruct missing seismic data.First,wavelet transform is applied to seismic data.Then,the appropriate measure-ment matrix is selected through analysis of missing signal.Finally,an FFPC algorithm is used to reconstruct the missing seismic data.Tests on both synthetic data and field data show that the method could reconstruct missing seismic data with a high SNR.The FFPC algorithm is less time consuming and more efficient compared to the Fixed Point Continuation (FPC)algorithm.The FFPC algorithm also has a higher reconstruction precision compared to the traditional Orthogonal Matching Pursuit (OMP)and Spectral Projected-gradient for L1 minimization (SPGL1)algorithms.关键词
压缩感知/测量矩阵/小波变换/重建算法/快速不动点连续算法Key words
compressive sensing/measurement matrix/wavelet transform/reconstruction algorithm/FFPC algorithm分类
天文与地球科学引用本文复制引用
刘争光,韩立国,张良,程时俊..压缩感知理论下基于快速不动点连续算法的地震数据重建[J].石油物探,2018,57(1):50-57,71,9.基金项目
国家自然科学基金项目(41674124)资助. This research is financially supported by the National Natural Science Foundation of China (Grant No.41674124). （41674124）
