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http://dx.doi.org/10.7582/GGE.2020.23.1.055

The Closed-form Expressions of Gravity, Magnetic, Gravity Gradient Tensor, and Magnetic Gradient Tensor Due to a Rectangular Prism  

Rim, Hyoungrea (Department of Earth Science Education, Pusan National University)
Publication Information
Geophysics and Geophysical Exploration / v.23, no.1, 2020 , pp. 55-60 More about this Journal
Abstract
The closed-form expressions of gravity, magnetic, gravity gradient tensor, and magnetic gradient tensor due to a rectangular prism are derived. The vertical gravity is derived via triple integration of a rectangular prism in Cartesian coordinates, and the two horizontal components of vector gravity are then derived via cycle permutation of the axis variables of vertical gravity through the axial symmetry of the rectangular prism. The gravity gradient tensor is obtained by differentiating the vector gravity with respect to each coordinate. Using Poisson's relation, a vector magnetic field with constant magnetic direction can be obtained from the gravity gradient tensor. Finally, the magnetic gradient tensor is derived by differentiating the vector magnetic with respect to appropriate coordinates.
Keywords
gravity; magnetic; gravity gradient tensor; magnetic gradient tensor;
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Times Cited By KSCI : 2  (Citation Analysis)
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