| 点源二维直流电阻率法正演模拟 |
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| 引用本文： | 吴曲波,张志勇,柯丹,范利飞.点源二维直流电阻率法正演模拟[J].工程地球物理学报,2014(1):44-49. |
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| 作者姓名： | 吴曲波 张志勇 柯丹 范利飞 |
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| 作者单位： | [1]核工业北京地质研究院中核集团铀资源勘查与评价技术重点实验室,北京100029 [2]中南大学地球科学与信息物理学院,湖南长沙410083 [3]劳雷仪器有限公司,北京100020 |
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| 摘 要： | 从点源二维电场边值问题出发,利用傅里叶变换将三维问题转换为二维问题,而后使用有限元法求解正演变分问题得节点电位。对三种常用解大型有限元线性方程组解法的计算机时进行试算统计,认为共轭梯度法计算速度较快。最后,通过对比均匀半空间模型有限元数值解和解析解的误差,以及对四个模型分别进行正演模拟试算,算例结果表明本文采用算法具备较好的模拟效果。
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| 关 键 词： | 点源二维直流电阻率法 正演模拟 有限元法 |
The Forward Modeling of 2D Resistivity for Point-source Electric Field |
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| Wu Qubo,Zhang Zhiyong,Ke Dan,Fan Lifei.The Forward Modeling of 2D Resistivity for Point-source Electric Field[J].Chinese Journal of Engineering Geophysics,2014(1):44-49. |
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| Authors: | Wu Qubo Zhang Zhiyong Ke Dan Fan Lifei |
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| Affiliation: | 1. CNNC Key Laboratory of Uranium Resources Exploration and Evaluation Technology, Beijing Research Institute of Uranium Geology, Beij ing 100029, China 2. School of Geosciences and In f o-- Physics, Central South University, Changsha Hunan 410083, China 3. Laurel instrument limited company of technology, Beijing 100020, China) |
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| Abstract: | This paper starts with 2-dimensional boundary equation of point--source elec- tric field, and the Fourier Transform is used to change the 3--d equation to 2--d equation, and then the variational equation of forward modeling is solved by finite element method. Thus, all potential values of total nodes can be gained. This study has discussed three dif- ferent methods for solving forward equations, and then the conjugate gradients method has the best speed of computation for the large--scale linear equations of FEM. Finally, a com- parison has been made between numerical resolution of finite element simulation and the an- alytical resolution based on uniform semi--space model and some simulations of four differ- ent models have been done, which concludes that the algorithm of this paper has better per- formance in accuracy. |
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| Keywords: | two--dimensional DC resistivity method of point--source electric field forward modeling finite element method （FEM） |
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