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Volume 18 Issue 3
Jun 2007
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Article Contents
Yao Luo, Changli Yao. Forward Modeling of Gravity, Gravity Gradients, and Magnetic Anomalies due to Complex Bodies. Journal of Earth Science, 2007, 18(3): 280-286.
Citation: Yao Luo, Changli Yao. Forward Modeling of Gravity, Gravity Gradients, and Magnetic Anomalies due to Complex Bodies. Journal of Earth Science, 2007, 18(3): 280-286.

Forward Modeling of Gravity, Gravity Gradients, and Magnetic Anomalies due to Complex Bodies

Funds:

the National Natural Science Foundation of China 40374039

Program for New Century Excellent Talents in University NCET-04-0726

the Focused Subject Program of Beijing XK104910598

More Information
  • 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.

     

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