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《Chinese Journal of Geophysics》 2008-02
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Seismic waves modeling by convolutional Forsyte polynomial differentiator method

CHENG Bing-Jie~ 1,2 ,LI Xiao-Fan~1, LONG Gui-Hua~11 Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029,China2 Mobile Postdoctoral Center,Southwest Branch Co., SINOPEC, Chengdu 610081,China  
Numerical modeling is important in studying a variety of problems in seismic wave propagation, many methods have been investigated for calculating the spatial terms in the wave equations, the most widely used methods are the classical finite difference (FD) method, the Fourier pseudo-spectral (FPS) method and Finite Element (FE) method. It is clear that each method has its own merits and drawbacks. For improving the precision and efficiency of seismic modeling, this paper develops a new modeling approach (Convolutional Forsyte Polynomial Differentiator Method) by using optimized convolutional operators for spatial differentiation and staggered-grid finite-difference for time differentiation in wave equation computation, a theoretical computation example of 2-D seismic wave field is given and the numerical results show that the algorithm can bring reliable outcomes with high precision and fast speed, and be adapted to complex inhomogeneous geological models and readily be extended to wave modeling for anisotropic media.
【Fund】: 国家自然科学基金重点项目(40437018);; 国家杰出青年科学基金项目(40025412)资助
【CateGory Index】: P631.4
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