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Shape reconstruction of metal pipes with corrosion defects using single frequency limited view scattered data

机译：使用单频有限视图散射数据重建具有腐蚀缺陷的金属管道的形状

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摘要

The inverse problem of reconstructing the cross sectional shape of a metal pipe from single frequency limited view electromagnetic scattered field data is considered. Specifically, the paper addresses the problem of assessing shape changes in the shadow region entailed by limited view data in 2D. The inverse scattering problem is formulated as a non-linear optimization problem that seeks to minimize the difference between measured data and the simulated data through iterations of a forward problem. A modified T-matrix method that exploits the use of FFT to speed up the computations is proposed for solving the forward problem. The proposed methodology is applied for shadow region shape change assessment to determine whether a metal pipe is corroded or not, and to reconstruct the shape of corrosion-like defect, over a range of size parameters. The study is carried out using Transverse Electric (TE) and Transverse Magnetic (TM) polarized fields. Numerical results of inversion using multi-objective optimization over a wide range of size parameter (ka) values show that errors in reconstruction are within 0.5% in the range of 1.4≤ko≤2.6. Further, reconstruction with TE is found to lead to better reconstruction than with TM polarization. The effect of random noise in the scattered fields on shape reconstruction is also investigated.
机译：考虑了从单频有限视图电磁散射场数据重建金属管截面形状的反问题。具体来说，本文解决了评估2D受限视图数据所带来的阴影区域中形状变化的问题。逆散射问题被公式化为一个非线性优化问题，旨在通过正向问题的迭代来最小化测量数据和模拟数据之间的差异。为了解决前向问题，提出了一种改进的T矩阵方法，该方法利用FFT的使用来加快计算速度。所提出的方法用于阴影区域形状变化评估，以确定在一定尺寸参数范围内金属管是否被腐蚀，并重建腐蚀样缺陷的形状。该研究使用横向电场（TE）和横向磁场（TM）极化场进行。使用多目标优化对较大的尺寸参数（ka）值进行反演的数值结果表明，重构误差在1.4≤ko≤2.6的范围内在0.5％之内。此外，发现用TE重建比用TM偏振重建更好。还研究了散射场中随机噪声对形状重构的影响。

著录项

  • 来源
    《NDT & E international》 |2012年第2012期|p.129-135|共7页
  • 作者

    Gopal Gantala; C.V. Krishnamurthy; Krishnan Balasubramaniam; N. Ganesan;

  • 作者单位

    Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India,Defence Electronics Research Lab., Hyderabad 500 005, India;

    Department of Physics, Indian Institute of Technology Madras, Chennai 600 036, India;

    Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India;

    Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    inverse problem; shadow region; shape reconstruction; T-matrix method;

    机译：反问题阴影区域形状重建;T矩阵法;

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