An analytical approach to reconstruction of axisymmetric defects in pipelines using T(0,1) guided waves

Liu, Dianzi (2020) An analytical approach to reconstruction of axisymmetric defects in pipelines using T(0,1) guided waves. Applied Mathematics and Mechanics. ISSN 1573-2754 (In Press)

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Torsional guided waves have been widely utilized to inspect surface corrosion in pipelines due to their simple displacement behavior and the ability of long-range transmission. Especially, the torsional mode T(0,1), which is the first order of torsional guided waves, plays the irreplaceable position and role, mainly because of its non-dispersion characteristic property. However, one of the most pressing challenges faced in modern quality inspection is to detect surface defects in pipelines with a high level of accuracy. Taking into account this situation, a quantitative reconstruction method using the torsional guided wave T(0,1) is proposed in this paper. The methodology for defect reconstruction consists of three steps. Firstly, reflection coefficients of the guided wave T(0,1) scattered by different sizes of axisymmetric defects are calculated using the developed hybrid finite element method (HFEM). Then, applying the boundary integral equation and Born approximation, Fourier transform of the surface defect profile can be analytically derived as the correlative product of reflection coefficients of torsional guided wave T(0,1) and the fundamental solution of the intact pipeline in frequency domain. Finally, reconstruction of defects is precisely performed by inverse Fourier transform of the product in the frequency domain. Numerical experiments show that the proposed approach is suitable for the detection of surface defects with arbitrary shapes. Meanwhile, effects of the depth and width of surface defects on the accuracy of defect reconstruction have been investigated. It is noted that the reconstructive error is less than 10%, providing the defect depth is no more than half of the pipe thickness.

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Depositing User: LivePure Connector
Date Deposited: 17 Jul 2020 23:45
Last Modified: 25 Nov 2020 00:48

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