magnetic induction, inverse problem of magnetometry, integral relations, surface charge density, expansion of the measurement grid
Abstract
The article considers the problem of expanding the magnetometric measurements network in inverse planar field problems. Based on the Green and Stretton–Chu formulas, the relationship between the magnetic field measured on a closed circuit and secondary sources located inside and outside the studied area is established. Integral relations are obtained for determining the surface density of magnetic charges and the distribution of magnetic induction in the area based on the results of boundary measurements. An approach to checking the correctness of the initial data is proposed based on the harmonicity of the field of external sources and the integral identity, which provides higher numerical stability compared to numerical differentiation methods. A step-by-step procedure for expanding the computational domain with a sequential reduction in the influence ofexternal sources is developed. It is shown that the proposed method can be used to increase the reliability of the interpretation of magnetometric measurements.
Author Biographies
D. Y. Shareiko, Admiral Makarov National University of Shipbuilding, Mykolaiv
Candidate of Engineering (Ph.D.), Associate Professor
A. M. Todosiienko, Admiral Makarov National University of Shipbuilding, Mykolaiv
Post-graduate Student
V. A. Mardziavko, Mykolaiv National Agrarian University, Mykolaiv
