大地电磁二维对称各向异性介质的有限元数值模拟
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MT NUMERICAL SIMULATION OF SYMMETRICALLY 2-D ANISOTROPIC MEDIA BASED ON THE FINITE ELEMENT METHOD
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    摘要:

    假定垂直轴为二维对称各向异性介质主轴之一,构造走向与另一主轴方向成任一夹角,用伽勒金(Galerkin)有限元法和矩形网格,优化地合成总体刚度矩阵,使二维各向异性介质的基本方程形成有限元代数方程组,求出各节点场值,并利用MOM法求出辅助场,进而求出张量阻抗等响应函数.同时还对有关文献的计算模型进行了数值模拟检验.

    Abstract:

    In this paper,the vertical axis is treated as one of the principal axes of the two-dimensional, symmetric, anisotropic media,in which the structure strike is an arbitrary included angle with respect to another principal axis. In this condition, the entire region is divided into rectangular elements.For the basic equations of the two-dimensional anisotropic media,a total stiffness matrix is composed reasonably, so the coupled finite element equations can be formed byusing Galerkin's finite element method.By solving these equations for the fieldcomponents at each node and on the basis of MOM-method,author evaluates the auxiliary field components on the earth's surface and obtains MT responses such as tensor impedances and so on. In addition, a numerical calculation test for the model which was used in the related reference is carried out.

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杨长福.大地电磁二维对称各向异性介质的有限元数值模拟[J].地震工程学报,1997,19(2):27-33. YANG Changfu. MT NUMERICAL SIMULATION OF SYMMETRICALLY 2-D ANISOTROPIC MEDIA BASED ON THE FINITE ELEMENT METHOD[J]. China Earthquake Engineering Journal,1997,19(2):27-33.

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  • 收稿日期:1996-04-30
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  • 在线发布日期: 2017-06-24