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自适应非结构有限元MT二维起伏地形正反演研究
引用本文:韩骑,胡祥云,程正璞,杨炳南,蔡建超,韦伟.自适应非结构有限元MT二维起伏地形正反演研究[J].地球物理学报,2015,58(12):4675-4684.
作者姓名:韩骑  胡祥云  程正璞  杨炳南  蔡建超  韦伟
作者单位:1. 中国地质大学地球物理与空间信息学院, 地球内部多尺度成像湖北省重点实验室, 武汉 430074;2. 贵州省地矿局, 贵州铜仁 554300
基金项目:国家科技专项"深部矿产资源立体探测技术与试验"(SinoProbe-03)、国家自然科学基金项目(41274077,41474055)、中国地质调查局项目(12120113101800)联合资助.
摘    要:在山区进行MT勘探时,用规则网格有限元方法模拟起伏地形会受到限制.本文采用非结构三角网格可以有效地模拟任意二维地质结构,如起伏地形、倾斜岩层和多尺度构造等.正演引入自适应有限元方法,其在网格剖分过程中能根据单元误差自动细化网格,保证了正演结果的精度.将自适应有限元与Occam算法结合,且引用并行处理技术提高正反演计算速度.通过对比两个理论模型,讨论了地形对MT正演响应的影响;其次进行了不同地电模型带地形反演展示了本文算法的正确性和适用性;最后将该方法应用于实测MT数据处理,证明了自适应非结构有限元方法是复杂地形下处理MT数据的有力工具.

关 键 词:大地电磁  自适应有限元  地形  反演  
收稿时间:2015-05-28

A study of two-dimensional MT inversion with steep topography using the adaptive unstructured finite element method
HAN Qi,HU Xiang-Yun,CHENG Zheng-Pu,YANG Bing-Nan,CAI Jian-Chao,WEI Wei.A study of two-dimensional MT inversion with steep topography using the adaptive unstructured finite element method[J].Chinese Journal of Geophysics,2015,58(12):4675-4684.
Authors:HAN Qi  HU Xiang-Yun  CHENG Zheng-Pu  YANG Bing-Nan  CAI Jian-Chao  WEI Wei
Institution:1. Hubei Subsurface Multi-scale Imaging Key Laboratory, Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan 430074, China;2. Guizhou Geology and Minerals Bureau, Guizhou Tongren 554300, China
Abstract:The structured grid has its limit when simulating complicated topography, especially applying the MT method in mountainous areas where the effect of terrain cannot be ignored. Unstructured triangular grids permit efficient discretization of complex modelling domains such as those containing topography, dipping strata and multiple scale structures. To ensure the accurate result of forward modeling, we refine grids according element errors during gridding the model. We combine the adaptive finite element and the Occam method, and develop a parallel processing scheme that can efficiently improve the computational speed of forward modeling and inversion. By comparing two synthetic models, first we discuss the terrain effect by building two different models. Then forward modeling and inversion are conducted on a series of models with steep topography. The application of this approach to processing of real data from Southwest China shows that the adaptive unstructured finite element method is a powerful tool to analyze MT data of complex features such as steep surface topography.
Keywords:Magnetotelluric  Adaptive finite element  Topography  Inversion
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