Recovery of seismic wavefields based on compressive sensing by an l1-norm constrained trust region method and the piecewise random subsampling
会议名称：《中国科学院地质与地球物理研究所第11届（2011年度）学术年会》
会议日期：2012年
学科分类：070801[理学-固体地球物理学] 07[理学] 0708[理学-地球物理学]
基 金：supported by the National Natural Science Foundation of China under grant numbers 10871191 and 40974075 Knowledge Innovation Programs of Chinese Academy of Sciences KZCX2-YW-QN107
关 键 词：Numerical solutions Inverse theory Computational seismology
摘 要：Due to the influence of variations in landform,geophysical data acquisition is usually subsampled. Reconstruction of the seismic wavefield from subsampled data is an ill-posed inverse *** sensing(CS) can be used to recover the original geophysical data from the subsampled *** this paper,we consider the wavefield reconstruction problem as a CS and propose a piecewise random subsampling scheme based on the wavelet *** proposed sampling scheme overcomes the disadvantages of uncontrolled random sampling. In computation,an l-norm constrained trust region method is developed to solve the CS *** results demonstrate that the proposed sampling technique and the trust region approach are robust in solving the ill-posed CS problem and can greatly improve the quality of wavefield recovery.