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《Chinese Journal of Geophysics》 2015-02
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Seismic wave field modeling of wave front healing effect in self-organized media using a heterogeneous multi-scale method

HAN Yan-Yan;ZHANG Zhong-Jie;LIANG Kai;LIU You-Shan;XU Tao;TENG Ji-Wen;State Key Laboratory of Lithosphere Evolution,Institute of Geology and Geophysics,Chinese Academy of Sciences;University of Chinese Academy of Sciences;China University of Petroleum (East China);CAS Center for Excellence in Tibetan Plateau Earth Sciences;  
Self-organization in earth media represents the statistical characteristic of complex media of the earth interior,which is important for understanding the internal structure of the earth and its geodynamical evolution.Wave front healing is produced due to the scattering effects in self-organized media,which can cause some differences between traveltimes calculated from ray theory based on high frequency approximation and that obtained from wave field modeling.Theobjectives of this work are to determine the applicable range of ray theory in self-organized media.The heterogeneous multi-scale method is employed to carry out wave field modeling of a large-scale earth model,in which the self-organized media is described by Gaussian and exponential self-correlation functions.We obtain the correction traveltime shifts between the background velocity field and the velocity field superimposing self-organized media using the cross-correction method,and compare the results with prediction of ray theory.The results indicate that the heterogeneous multi-scale method can perform the forward modeling for heterogeneous multi-scale media more efficiently,and yield high-resolution results.Moreover,wave front healing effects will enhance with shorter correlation length,longer wavelength and longer propagation distance. Wave front healing effects exert a significant influence upon traveltime whenever a/(λL)1/2≤0.5,where ais the heterogeneity correlation distance,λis the wavelength,and Lis the propagation distance.With the decrease of the ratio above,ray-theoretical traveltimes can deviate markedly due to wave front healing effects.In self-organized media,wave front healing effects exert a significant influence upon traveltime whenever a/(λL)1/2≤0.5,where ais the heterogeneity correlation distance,λis the wavelength.There are considerable errors in the traveltime calculation by ray theory,while the heterogeneous multi-scale method can be efficient in such circumstance.
【Fund】: 中国科学院战略性先导科技专项(XDB03010700);; 国家自然科学基金(41104053 41274070 41174075)联合资助
【CateGory Index】: P631
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