| 利用有限单元法模拟二维MT倾子响应 |
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| 引用本文： | 童孝忠,柳建新,刘颖,甘佳雄,张连伟.利用有限单元法模拟二维MT倾子响应[J].吉林大学学报(地球科学版),2011(Z1):349-354. |
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| 作者姓名： | 童孝忠 柳建新 刘颖 甘佳雄 张连伟 |
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| 作者单位： | 中南大学地球科学与信息物理学院;铁道第三勘察设计院; |
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| 基金项目： | 湖南省自然科学基金项目(10JJ6059); 湖南省科研条件创新专项基金项目(2010TT2056) |
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| 摘 要： | 在二维地电模型中,考虑到大地电磁测深(MT)倾子响应依赖于横电(TE)模式的数值模拟问题,笔者采用矩形网格单元和双二次插值对MT的倾子响应进行求解。首先,给出了二维地电条件下的边值问题和变分问题,并通过有限单元法对模型进行单元剖分、插值、积分和整体合成;其次,通过求解复系数方程组得到了每个节点的电场值;最后,采用差分方法求得电场沿横向和垂向的偏导数值,从而计算出二维MT的倾子响应。通过对2个二维地电模型的倾子响应进行数值模拟,获得了倾子响应的实部、虚部和振幅,结果很好地反映了不均匀体的横向分布情况。
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| 关 键 词： | 大地电磁测深 横电模式 有限单元法 倾子 |
Calculating Tipper Response in Two-Dimensional Magnetotelluric Using Finite Element Method |
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| TONG Xiao-zhong,LIU Jian-xin,LIU Ying,GAN Jia-xiong,ZHANG Lian-wei .School of Geosciences , Info-physics,Central South University,Changsha ,China.Calculating Tipper Response in Two-Dimensional Magnetotelluric Using Finite Element Method[J].Journal of Jilin Unviersity:Earth Science Edition,2011(Z1):349-354. |
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| Authors: | TONG Xiao-zhong LIU Jian-xin LIU Ying GAN Jia-xiong ZHANG Lian-wei School of Geosciences Info-physics Central South University Changsha China |
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| Institution: | TONG Xiao-zhong1,LIU Jian-xin1,LIU Ying1,GAN Jia-xiong1,ZHANG Lian-wei2 1.School of Geosciences and Info-physics,Central South University,Changsha 410083,China 2.The Third Railway Survey and Design Institute,Tianjin 300251,China |
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| Abstract: | In two-dimensional geo-electric modeling,the tipper response of magnetotelluric(MT) depends on the numerical simulation of traverse electric(TE) mode problem.Firstly,the boundary value problem and variational problem are derived,and finite element method is applied to the modeling.Secondly,the electric field values on each node are obtained by solving the matrix equation of complex coefficients.Lastly,the partial derivatives of the horizontal and vertical electric fields are estimated using differential met... |
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| Keywords: | magnetotellurics(MT) traverse electric(TE) mode finite element method tipper |
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