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复杂形体重力场梯度及磁场计算方法-地球科学
32 4 ——— Vol.32 No.4
2 0 0 7 7 Earth Science—Journal of China University of Geosciences July 2 0 0 7
、
1, 2, 3 1, 2
骆 遥 , 姚长利
1.地质过程与矿产资源国家重点实验室和地下信息探测技术与仪器教育部重点实验室, 北京 100083
2. 国地质大学地球物理与信息技术学院, 北京 100083
3. 国科学院地质与地球物理研究所, 北京 100029
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:P631 :1000-2383(2007)04-0517-06 :2007-04-12
Forward Method for Gravity, Gravity Gradient and Magnetic
Anomalies of Complex Body
LUO Yao1, 2, 3 , YAO Chang-li1, 2
1.StateK ey Laboratory of Geological Processes and Mineral Resources;Geo-detection Laboratory of the
Ministry of Education, B eij ing 100083, China
2.School of Geophy sics and Inf ormation echnology , China University of Geosciences, Beij ing 100083, China
3.Institute of Geology and Geop hysics, Chinese Academy of Sciences, B eij ing 100029, China
Abstract:Based on the improved analytical expression for computing the gravity anomalies due to a homogeneous polyhedral
body composed of polygonal facets, and by applying the forward theory with the coordinate transformation of vector and ten-
sor, we deduced the analytical expressions for both gravity gradient tensor and magnetic anomalies due to a polygon, and ob-
tained new analytical expressions for computing vertical gradient of gravity anomalies and vertical component of magnetic
anomalies due to a polyhedral body.And we also explicitly developed the complete and unified expressions for calculating
gravity anomalies, gravity gradient and magnetic anomalies due to the homogeneous polyhedra.Furthermore, we deduced
new analytical expressions for computing the vertical gradient of gravity anomalies due to a fini
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