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二维各向异性介质中三分量波动方程有限元法模拟
The Modeling of Three Component Wave Equation for Anisotropic Medium Using the Finite Element Method
【摘要】 利用六面体单元和三线性插值函数 ,推导出在任意弹性各向异性介质中三维三分量波动方程所满足的有限元方程 ,同时给出也适用于矩形单元和双线性插值的二维三分量各向异性介质中的波动方程模拟的一般性公式 ,最后讨论两个数值模拟的结果。
【Abstract】 The finite element equation, which the three dimensional three component wave equation satisfies, is derived if the domain of an arbitrary anisotropic medium is divided into hexahedron elements and a linear interpolation function in each coordinate direction is used. The finite element equation is a general formula because it is also suitable for two dimensional three component wave equations.
【关键词】 地震波场;
各向异性介质;
波动方程;
有限元法;
三分量模拟;
【Key words】 seismic wavefield; anisotropic medium; wave equation; finite element method; modeling;
【Key words】 seismic wavefield; anisotropic medium; wave equation; finite element method; modeling;
- 【文献出处】 青岛海洋大学学报(自然科学版) ,JOURNAL OF OCEAN UNIVERSITY OF QINGDAO , 编辑部邮箱 ,2000年04期
- 【分类号】P631.414
- 【被引频次】11
- 【下载频次】225