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http://dx.doi.org/10.7582/GGE.2022.25.2.085

Closed-form Expressions of Vector Magnetic and Magnetic Gradient Tensor due to a Line Segment  

Rim, Hyoungrea (Department of Earth Science Education, Pusan National University)
Publication Information
Geophysics and Geophysical Exploration / v.25, no.2, 2022 , pp. 85-92 More about this Journal
Abstract
An elongated object in one direction can be approximated as a line segment. Here, the closed-form expressions of a line segment's vector magnetic and magnetic gradient tensor are required to interpret responses by a line segment. Therefore, the analytical expressions of the vector magnetic and magnetic gradient tensor are derived. The vector magnetic is converted from the existing gravity gradient tensor using Poisson's relation where the gravity gradient tensor caused by a line segment can be transformed into a vector magnetic. Then, the magnetic gradient tensor is derived by differentiating the vector magnetic with respect to each axis in the Cartesian coordinate system. The synthetic total magnetic data simulated by an iron pile on boreholes are inverted by a nonlinear inversion process so that the physical parameters of the iron pile, including the beginning point, the length, orientation, and magnetization vector are successfully estimated.
Keywords
magnetic; magnetic gradient tensor; line segment;
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Times Cited By KSCI : 3  (Citation Analysis)
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