| 电位双二次变化二维地电断面电阻率测深有限元数值模拟 |
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| 引用本文： | 熊彬,阮百尧.电位双二次变化二维地电断面电阻率测深有限元数值模拟[J].地球物理学报,2002,45(2):285-295. |
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| 作者姓名： | 熊彬 阮百尧 |
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| 作者单位： | 1. 中国地质大学地球物理系,武汉,430074;
2. 桂林工学院资源与环境工程系,桂林541004 |
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| 基金项目： | 国家自然科学基金项目 ( 4 0 0 6 4 0 0 1 )，教育部骨干教师培养基金项目，广西自然科学基金项目 (桂科自
0 0 0 70 2 4 ) |
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| 摘 要： | 以异常电位为研究对象,给出了一种新的二维地电断面电阻率测深的有限元数值模拟方法.该方法与以往这类方法的主要区别在于,网格单元中的电导率采用双线性插值,电位则用二次函数进行双二次插值,从而使得电位的正演结果以及由电位导出的视电阻率更加符合实际地电场的变化规律;另外,有限元网格单元数也大为减少.对几例模型的试算结果表明,文中提出的计算方法是行之有效的.
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| 关 键 词： | 电阻率测深 二维有限单元法 电导率双线性变化 电位双二次变化. |
| 文章编号： | 0001-5733(2002)02-0285-11 |
| 收稿时间： | 2001-07-15 |
A NUMERICAL SIMULATION OF 2-D GEOELECTRIC SECTION WITH BIQUADRATIC CHANGE OF POTENTIAL FOR RESISTIVITY SOUNDING BY THE FINITE ELEMENT METHOD |
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| XIONG BIN RUAN BAI YAO Dept. of Geophyscics,China University of Geosciences,Wuhan ,China Dept. of Resource & Environment Engineering,Guilin Institute of Technology,Guilin ,China.A NUMERICAL SIMULATION OF 2-D GEOELECTRIC SECTION WITH BIQUADRATIC CHANGE OF POTENTIAL FOR RESISTIVITY SOUNDING BY THE FINITE ELEMENT METHOD[J].Chinese Journal of Geophysics,2002,45(2):285-295. |
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| Authors: | XIONG BIN RUAN BAI YAO Dept of Geophyscics China University of Geosciences Wuhan China Dept of Resource & Environment Engineering Guilin Institute of Technology Guilin China [ |
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| Affiliation: | 1. Dept . of Geophyscics, China University of Geosciences, Wuhan 430074, China;
2. Dept . of Resource & Environment Engineering, Guilin Institute of Technology, Guilin 541004, China |
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| Abstract: | Finite element method has been widely used in the forward numerical simulation in geophysics. When using this technique in resistivity method, people usually discuss the model from the viewpoint of the total potential. Meanwhile, the model parameters, such as conductivity and potential, are generally assumed to be the mean values or the linear changes. A new finite element numerical simulation method for resistivity sounding of 2 D geoelectric section is presented in the paper, where the research object is the anomalous potential. The major difference between this method and traditional methods lies in interpolating conductivity with a bilinear function, and interpolating potential with a biquadratic function within each grid cell. The forward simulation of potential and the apparent resistivity derived from the potential are more agree with the variations of actual geoelectric field. The results of several models show that this method, contrasted with the other methods, reduces greatly the workload and has a good precision. |
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| Keywords: | Resistivity sounding 2 D finite element method Bilinear variation of conductivity Biquadratic variation of potential |
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