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《Chinese Journal of Geophysics》 2013-01
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Regularization method with sparsity constraints for seismic waveform inversion

WANG Wei1,2,HAN Bo1*,TANG Jin-Ping1 1 Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China 2 School of Mathematical Sciences,Fudan University,Shanghai 200433,China  
This paper studies the problems of seismic waveform inversion.In order to overcome the oversmoothness of the traditional Tikhonov regularization,we introduce the nonlinear regularization with sparsity constraints,and adopt the dual method to obtain the minimizer of the functional with sparsity constraints.Numerical simulations are carried out based on waveform inversion of the 2-D acoustic wave equation,and lots of tests are conducted for various models.The numerical results show that the regularization method with sparsity constraints has the ability to recover the boundary of discontinuous media.
【Fund】: 国家自然科学基金项目(41074088)资助
【CateGory Index】: P631.44
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