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Forward Modeling of Gravity, Gravity Gradients, and Magnetic Anomalies due to Complex Bodies
作者姓名:骆遥  姚长利
作者单位:[1]State Key Laboratory of Geological Processes and Mineral Resources; Geo-detection Laboratory, Ministry of Education, Beijing 100083, China [2]School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China [3]Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
基金项目:国家自然科学基金,教育部跨世纪优秀人才培养计划,the Focused Subject Program of Beijing
摘    要:

关 键 词:多面体  重力场  磁场  重力梯度张量
收稿时间:20 March 2007
修稿时间:2007-03-20

Forward Modeling of Gravity, Gravity Gradients,and Magnetic Anomalies due to Complex Bodies
Luo Yao,Yao Changli.Forward Modeling of Gravity, Gravity Gradients, and Magnetic Anomalies due to Complex Bodies[J].Journal of China University of Geosciences,2007,18(3):280-286.
Authors:Luo Yao  Yao Changli
Institution:1. State Key Laboratory of Geological Processes and Mineral Resources;Geo-detection Laboratory, Ministry of Education, Beijing 100083, China;School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China;Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029,China
2. State Key Laboratory of Geological Processes and Mineral Resources;Geo-detection Laboratory, Ministry of Education, Beijing 100083, China;School of Geophysics and Information Technology, China University of Geosciences, Beijing 100083, China
Abstract:On the basis of the results of improved analytical expression of computation of gravity anomalies due to a homogeneous polyhedral body composed of polygonal facets, and applying the forward theory with the coordinate transformation of vectors and tensors, we deduced both the analytical expressions for gravity gradient tensors and for magnetic anomalies of a polygon, and obtained new analytical expressions for computing vertical gradients of gravity anomalies and vertical component of magnetic anomalies caused by a polyhedral body. And also we developed explicitly the complete unified expressions for the calculation of gravity anomalies, gravity gradient, and magnetic anomalies due to the homogeneous polyhedron. Furthermore, we deduced new analytical expressions for computing vertical gradients of gravity anomalies due to a finite rectangular prism by applying the newly obtained expressions for gravity gradient tensors due to a polyhedral target body. Comparison with forward calculation of models shows the correctness of these new expressions. It will reduce forward calculation time of gravity-magnetic anomalies and improve computational efficiency by applying our unified expressions for joint forward modeling of gravity-magnetic anomalies due to homogeneous polyhedral bodies.
Keywords:polyhedral body  gravitational field and magnetic field  gravity gradient tensor  forward calculation  coordinate transformation  
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