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Magnetic Flux Leakage Method: Large-Scale Approximation

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posted on 22.03.2017, 09:55 by A. V. Pimenova, D. S. Goldobin, J. Levesley, A. O. Ivantsov, P. Elkington, M. Bacciarelli
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.

History

Citation

Mathematical Modelling of Natural Phenomena, 2015, 10 (3), pp. 61-70 (10)

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

VoR (Version of Record)

Published in

Mathematical Modelling of Natural Phenomena

Publisher

EDP Sciences, Cambridge University Press (CUP)

issn

0973-5348

eissn

1760-6101

Copyright date

2015

Available date

22/03/2017

Publisher version

http://www.mmnp-journal.org/articles/mmnp/abs/2015/03/mmnp201510p61/mmnp201510p61.html

Notes

Mathematics Subject Classification: 78A30 / 78M34 / 78A55

Language

en