| 无网格局部Petrov-Galerkin法大地电磁二维正演 |
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| 引用本文： | 李俊杰, 严家斌. 无网格局部Petrov-Galerkin法大地电磁二维正演[J]. 煤田地质与勘探, 2014, 42(6): 101-104,109. DOI: 10.3969/j.issn.1001-1986.2014.06.021 |
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| 作者姓名： | 李俊杰 严家斌 |
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| 作者单位： | 1. 浙江水利水电勘测设计院，浙江 杭州，310002
2. 中南大学地球科学与信息物理学院,湖南 长沙,410083 |
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| 基金项目： | 国家自然科学基金项目(40874055)；湖南省自然科学基金项目 |
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| 摘 要： | 将无网格局部Petrov-Galerkin算法用于大地电磁二维正演。介绍了该方法的基本原理；从大地电磁二维边值问题出发，利用子域法详细推导了与之对应的局部Petrov-Galerkin弱式方程，并用高斯积分法将其离散化。论述了无网格局部Petrov-Galerkin法较无单元Galerkin法及有限元法的优缺点，最后通过二维模型的计算验证了算法的有效性。
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| 关 键 词： | 无网格局部Petrov-Galerkin法 大地电磁 无单元Galerkin法 有限元法 |
| 收稿时间： | 2013-07-15 |
Magnetotelluric two-dimensional forward modeling using meshless local Petrov-Galerkin method |
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| LI Junjie, YAN Jiabin. Magnetotelluric two-dimensional forward modeling using meshless local Petrov-Galerkin method[J]. COAL GEOLOGY & EXPLORATION, 2014, 42(6): 101-104,109. DOI: 10.3969/j.issn.1001-1986.2014.06.021 |
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| Authors: | LI Junjie YAN Jiabin |
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| Abstract: | This Paper devotes meshless local Petrov-Galerkin method to magnetotelluric two-dimensional forward modeling. Its basic principle was introduced. From magnetolelluric 2-D boundary values, using subdomain method, the corresponding weak equation of local Petrov-Galerkin is derived and discreted by gauss integral method. The advantages and disadvantages of meshless local Petrov-Galerkin method are discussed in comparison with element-free Galerkin method and finite element method. At last, the validity of the algorithm is verified by two-dimensional model calculations. |
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| Keywords: | meshless local Petrov-Galerkin method magnetotelluric element-free Galerkin method finite element method |
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