| 二维起伏地表直流电场插值法数值模拟 |
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| 引用本文： | 张东良,孙建国,孙章庆.二维起伏地表直流电场插值法数值模拟[J].世界地质,2009,28(2):242-248. |
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| 作者姓名： | 张东良 孙建国 孙章庆 |
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| 作者单位： | 1. 吉林大学地球探测科学与技术学院, 长春130026; 2. 国土资源部应用地球物理综合解释理论开放实验室, 长春130026 |
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| 基金项目： | 国家高技术研究发展计划(863计划)，教育部骨干教师自主计划 |
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| 摘 要： | 本文提出了一种采用插值法实现边界条件的有限差分数值模拟新方法, 地表函数通过三次样条插值能很好的拟合真实地表形状。其地表边界条件的实现思想是在地表法线方向上寻找一个与地表点位于同一等位线上的点, 该点通过周围点插值来建立离散方程。采用不规则四边形距离加权插值法使插值形式统一化。在水平地表情况下做的数值解与解析解的对比分析表明: 该方法的计算精度适合要求, 对山谷模型的实例计算也得到了视电阻率与地形成镜像对称的结果。
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| 关 键 词： | 插值 起伏地表 数值模拟 有限差分 |
Numerical modeling of DC electrical field interpolation on two dimension undulate topography |
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| ZHANG Dong-liang,SUN Jian-guo,SUN Zhang-qing.Numerical modeling of DC electrical field interpolation on two dimension undulate topography[J].World Geology,2009,28(2):242-248. |
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| Authors: | ZHANG Dong-liang SUN Jian-guo SUN Zhang-qing |
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| Institution: | 1. College of Geoexploration Science and Technology, Jilin University, Changchun 130026, China; 2. Laboratory for Integrated Geophysical Interpretation Theory of Ministry for Land and Resources, Changchun 130026, China |
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| Abstract: | This paper proposes a new method of finite-difference numerical modeling using interpolation to achieve boundary condition. Surface function can fit the true shape of geographywell through 3 times spline interpolation. The interpolation method of surface boundary condition is to find a point in the normal line of surface which is located in its same equipotential line, and sets up discrete equation through the interpolation by around points. Irregular quadrilateral distance weighted interpolation is used to make interpolation models unified. Comparative analysis of numerical solution and analytical solution in level surface shows that the calculation accuracy of thismethod is qualified, and the result of examp le calculation for valley model shows resistivity and topography as mirror symmetric. |
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| Keywords: | interpolation undulate topography numerical modeling finite-difference |
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