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Mathematical Modeling of Residual Magnetization Recovery in Drill Pipes Using Magnetic Gradiometer Data
| Title | Mathematical Modeling of Residual Magnetization Recovery in Drill Pipes Using Magnetic Gradiometer Data |
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| Authors | N. D. Morozkin1, D. M. Kolonskikh1 1Ufa University of Science and Technology |
| Annotation | This paper addresses an inverse magnetostatics problem: determining the distribution of residual magnetization in the walls of a non-magnetic drill pipe from measurements of the difference in magnetic induction magnitudes. The forward problem is described by the Laplace equation for the scalar magnetic potential and is reduced to a Fredholm integral equation of the first kind with respect to the unknown magnetization. A mathematical model and a numerical method for estimating the localization of peak magnetization in drill pipes are proposed. Simulation results are presented that confirm the effectiveness of the proposed approach. The work is carried out as part of the development of a system for assessing residual magnetization during the production and operation of non-magnetic drill pipes. |
| Keywords | magnetostatics, Fredholm integral equation, residual magnetization, drill pipes. |
| Citation | Morozkin N. D., Kolonskikh D. M. ''Mathematical Modeling of Residual Magnetization Recovery in Drill Pipes Using Magnetic Gradiometer Data'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 159-163. Available at: https://conf.svmo.ru/files/2026/papers/paper95.pdf. - Date of access: 25.09.2026. |
© SVMO, National Research Mordovia State University, 2026
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