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《Chinese Journal of Geophysics》 2005-06
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A regularization homotopy method for the inverse problem of 2-D wave equation and well log constraint inversion

FU Hong-Sun,HAN BoDepartment of Mathematics,Harbin Institute of Technology,Harbin 150001,China  
Combining the Tikhonov regularization method for ill-posed problems with the widely convergent homotopy method applied to the inversion process of operator identification,a new strategy-regularization-homotopy method is proposed for the inversion of 2-D wave equation,which is suitable for the nonlinear,ill-posed and multi-extremum seismic inverse problem.In order to restrain noises and improve the quality of inversion,a well log constraint regularization-homotopy method is further constructed.Lots of numerical simulations indicate our method's effectiveness.
【CateGory Index】: P631.4;
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