石油物探2017，Vol.56Issue(6)：804-811,8.DOI:10.3969/j.issn.1000-1441.2017.06.005
基于压缩感知和Contourlet变换的地震数据重建方法
Seismic data reconstruction based on compressed sensing and Contourlet transform
摘要
Abstract
Training a dictionary is time-consuming when using a standard algorithm for the reconstruction of dictionary learning based on compressed sensing.The algorithm for the reconstruction of sparse transforms based on compressed sensing is also problematic,as it has high requirements for sparse basis.Therefore,weighing the signal-to-noise ratio (SNR) and time consumption,introducing the Contourlet sparse basis which could be used in seismic data reconstruction,the paper proposes seismic data reconstruction using Contourlet transform based on compressed sensing.The method uses the fast iterative shrinkage-thresbolding algorithm (FISTA) to reconstruct the missing sparse coefficients in the Contourlet domain according to the designed measurement matrix,and then performs a Contourlet inverse transform to reconstruct the missing seismic data.Testing on both synthetic data and field data indicates that the proposed method is effective.In comparison with the short-time Fourier transform and the wavelet transform,the proposed Contourlet transform based on compressed sensing has a higher SNR,and improved time efficiency.关键词
压缩感知/Contourlet变换/测量矩阵/地震数据重建/快速迭代收缩阈值Key words
compressed sensing/Contourlet transform/measurement matrix/seismic data reconstruction/fast iterative shrinkage-thresholding分类
天文与地球科学引用本文复制引用
张良,韩立国,刘争光,李宇..基于压缩感知和Contourlet变换的地震数据重建方法[J].石油物探,2017,56(6):804-811,8.基金项目
国家自然科学基金项目(41304086)资助.This research is financially supported by the Natural Science Foundation of China (Grant No.41304086). （41304086）
