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《Progress in Geophysics》 2007-03
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Numerical spectral-element modeling for seismic wave propagation in transversely isotropic medium

WANG Tong-kui1,LI Rui-hua2,LI Xiao-fan1,ZHANG Mei-gen1,LONG Gui-hua1(1.State Key Laboratory of Lithospheric Evolution,Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029;2.China University of Mining and Technology,Beijing 100083)  
The transversely isotropic medium exists extensively in the earth.Hence it is of important meaning to study wave characters in the TI medium with numerical methods.In the text,the Spectral element method is used to model the seismic wave propagation,which is based on a weak formulation of the elastic mechanics equation.It combines the geometrical flexibility of the Finite element method and the accuracy of the pseudospectral method.Here,the theory and the deducing process of the SEM based on the Legendre polynomial is given.The SEM can get a global diagonal mass matrix,which leads to a very simple explicit time difference scheme and high efficiency.Numerical simulation in the transversely isotropic medium are shown and the results approved that the SEM is a effective method for seismic wave modeling.
【Fund】: 国家自然科学基金重点项目(40437018);; 青年基金项目(40304004)联合资助
【CateGory Index】: P631.4
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