| 点源二维各向异性地电断面的直流电场有限元解法 |
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| 引用本文： | 徐世浙.点源二维各向异性地电断面的直流电场有限元解法[J].中国海洋大学学报(自然科学版),1988(1). |
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| 作者姓名： | 徐世浙 |
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| 作者单位： | 山东海洋学院海洋地质学系 |
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| 摘 要： | 本文给出点源二维各向导性地电断面的直流电场有限元解法。首先,用付氏变换将点源二维各向异性地电断面的三维边值问题转变成二维边值问题;然后导出与二维边值问题相应的变分方程;最后用有限元法解变分方程并用付氏反变换,就获得三维空间中的电位 本文用此方法给出二个算例,并与解析解进行对比。
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| 关 键 词： | 点源二维 各向异性 付氏变换 有限单元法 |
THE FINITE ELEMENT METHOD FOR SOLVING THE DIRECT-CURRENT ELECTRIC FIELD OF POINT SOURCE ON A 2-D ANISOTROPIC ELECTRIC SECTION |
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| Xu Shizhe.THE FINITE ELEMENT METHOD FOR SOLVING THE DIRECT-CURRENT ELECTRIC FIELD OF POINT SOURCE ON A 2-D ANISOTROPIC ELECTRIC SECTION[J].Periodical of Ocean University of China,1988(1). |
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| Authors: | Xu Shizhe |
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| Institution: | Dept. of Marine Geology |
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| Abstract: | This paper presents the finite element method for solving the direct-current field of point source on a 2-D anisotropic geoelectric section. First. using Fourier's transformation, the 3-D boundary value problem of electric field of point source on a 2-D anisotropic geoelectric section is converted into a 2-D boundary value problem. Second, the variation equation corresponding to the 2-D boundary value problem is derived. Finally, the variation equation is solved by the finite element method and Fourier' s inverse transformation is employed to obtain the electric potential in 3-D space.Two calculation examples are given and are compared with analytic solutions.This paper presents the finite element method for solving the direct-current field of point source on a 2-D anisotropic geoelectric section. First. using Fourier's transformation, the 3-D boundary value problem of electric field of point source on a 2-D anisotropic geoelectric section is converted into a 2-D boundary value problem. Second, the variation equation corresponding to the 2-D boundary value problem is derived. Finally, the variation equation is solved by the finite element method and Fourier' s inverse transformation is employed to obtain the electric potential in 3-D space.Two calculation examples are given and are compared with analytic solutions. |
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| Keywords: | Point source on 2-D model Anisotropic Fourier's transformation Finite element method |
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