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《Chinese Journal of Geophysics》 2006-04
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Objective function prestack amplitude preserving migration and its application

LIU Yi-Ke~1,CHANG Xu~1,LU Meng-Xia~2,Hongchuan Sun~31 Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China2 Information of College,Beijing Union University,Beijing 100101,China3 Department of Geology and Geophysics,University of Utah,Utah 84112,U.S.A.  
An iterative migrated method is developed by building a misfit function between the observed seismic data and forward modeling synthetic data.A weight function is used to compensate the amplitude attenuation for seismic wave transmitting in the earth.We consider migration as an inversion problem and find an optimal solution in the inversion.The migrated operator is the adjoint of forward modeling operator,and the transpose matrix is not dominant diagonal matrix.A preconditioning matrix is applied to make the Hessian matrix a diagonal approximation.Take-off and incidence angles are estimated for locating at the reflected points by applying stationary phase,which decreases greatly computing costs.An optimal solution,which is a true amplitude,is obtained in the process of iteration by considering the weighted factors to compensate the amplitude spreading and the angle effects with offset.Two numerical examples effectively illustrate the results of amplitude preserved and a case of field data is presented.
【Fund】: 国家自然科学基金(40374050 40235055)资助
【CateGory Index】: P631.44
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