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物探与化探  2016, Vol. 40 Issue (3): 587-593    DOI: 10.11720/wtyht.2016.3.22
  计算技术与信息处理 本期目录 | 过刊浏览 | 高级检索 |
起伏地形大地电磁二维反演
熊彬1, 罗天涯1, 蔡红柱2, 刘云龙1, 吴延强1, 郭胜男1
1. 桂林理工大学 地球科学学院, 广西 桂林 541006;
2. 美国 犹他大学 矿业与地球科学学院, 犹他州 盐湖城 84112
Two-dimensional magnetotelluric inversion of topography
XIONG Bin1, LUO Tian-Ya1, CAI Hong-Zhu2, LIU Yun-Long1, WU Yan-Qiang1, GUO Sheng-Nan1
1. College of Earth Sciences, Guilin University of Technology, Guilin 541006, China;
2. College of Mines & Earth Sciences, University of Utah, Salt lake city, UT 84112, USA
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摘要 

为了适应地形起伏的实际地质情况,开展带地形的最小二乘二维反演研究。鉴于大地电磁(MT)反演的不适定问题,引入Tikhonov的正则化方法,从而获得关于总目标函数的方程,利用光滑约束最小二乘法求解总目标函数方程。由于正则化因子值与反演精度以及稳定性相关,采用主动约束平衡方法获取最优化的正则化因子,以确保反演精度和稳定性都达到最佳。与此同时,利用电磁场互易定理以节省反演迭代过程求解雅可比矩阵的计算时间。构建了若干地质构造模型进行试算,分别讨论TE、TM模式以及二者联合模式的反演结果,并与前人研究工作对比以说明本文方法的反演效果。

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Abstract

In order to simulate the actual geological conditions, the authors present the least squares inversion by incorporating topography into a forward model. In consideration of an ill-posed inverse problem of MT, the authors introduce Tikhonov regularization to obtain the equation of the total objective function and utilize smoothness-constrained least-squares inversion to solve the total objective function. As the regularized factor controls resolution and stability of the inverse problem, the authors put forward active constraint balancing (ACB) to obtain an optimized regularized factor that balances the resolution as well as the stability of the inversion process. Meanwhile, for the purpose of speeding up the calculation of the field Jacobian for 2-D magnetotelluric inversion, the principle of electromagnetic reciprocity is applied. Finally, the authors discuss the inversion results of TE mode, TM mode and joint inversion of TE and TM mode using some synthetic models, in comparison with some of previous work.

收稿日期: 2015-11-02      出版日期: 2016-06-10
:  P631  
基金资助:

国家自然科学基金项目(40974077、41164004);广西自然科学基金项目(2011GXNSFA018003、2013GXNSFAA019277);桂林市"漓江学者"专项资助;桂林理工大学研究生创新项目(BS201601)

作者简介: 熊彬(1974-),男,湖北仙桃人,博士,教授,第三届地球电磁专业委员会常务委员会委员,主要从事电磁场理论及反演成像方面的教学与科研工作。E-mail:xiongbin@msn.com
引用本文:   
熊彬, 罗天涯, 蔡红柱, 刘云龙, 吴延强, 郭胜男. 起伏地形大地电磁二维反演[J]. 物探与化探, 2016, 40(3): 587-593.
XIONG Bin, LUO Tian-Ya, CAI Hong-Zhu, LIU Yun-Long, WU Yan-Qiang, GUO Sheng-Nan. Two-dimensional magnetotelluric inversion of topography. Geophysical and Geochemical Exploration, 2016, 40(3): 587-593.
链接本文:  
https://www.wutanyuhuatan.com/CN/10.11720/wtyht.2016.3.22      或      https://www.wutanyuhuatan.com/CN/Y2016/V40/I3/587

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