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Title: Magnetic Flux Leakage Method: Large-Scale Approximation
Authors: Pimenova, A. V.
Goldobin, D. S.
Levesley, J.
Ivantsov, A. O.
Elkington, P.
Bacciarelli, M.
First Published: 22-Jun-2015
Publisher: EDP Sciences, Cambridge University Press (CUP)
Citation: Mathematical Modelling of Natural Phenomena, 2015, 10 (3), pp. 61-70 (10)
Abstract: We consider the application of the magnetic flux leakage (MFL) method to the detection of defects in ferromagnetic (steel) tubulars. The problem setup corresponds to the cases where the distance from the casing and the point where the magnetic field is measured is small compared to the curvature radius of the undamaged casing and the scale of inhomogeneity of the magnetic field in the defect-free case. Mathematically this corresponds to the planar ferromagnetic layer in a uniform magnetic field oriented along this layer. Defects in the layer surface result in a strong deformation of the magnetic field, which provides opportunities for the reconstruction of the surface profile from measurements of the magnetic field. We deal with large-scale defects whose depth is small compared to their longitudinal sizes—these being typical of corrosive damage. Within the framework of large-scale approximation, analytical relations between the casing thickness profile and the measured magnetic field can be derived.
DOI Link: 10.1051/mmnp/201510306
ISSN: 0973-5348
eISSN: 1760-6101
Version: Publisher Version
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2015, EDP Sciences, Cambridge University Press (CUP). Deposited with reference to the publisher’s open access archiving policy.
Description: Mathematics Subject Classification: 78A30 / 78M34 / 78A55
Appears in Collections:Published Articles, Dept. of Mathematics

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