Header menu link for other important links
X
Shape reconstruction of metal pipes with corrosion defects using single frequency limited view scattered data
Published in
2012
Volume: 52
   
Pages: 129 - 135
Abstract
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≤ka≤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. © 2012 Elsevier Ltd.
About the journal
JournalNDT and E International
ISSN09638695
Open AccessNo
Concepts (26)
  •  related image
    CORROSION DEFECT
  •  related image
    Cross-sectional shape
  •  related image
    FORWARD PROBLEM
  •  related image
    INVERSE SCATTERING PROBLEMS
  •  related image
    METAL PIPES
  •  related image
    MULTI OBJECTIVE OPTIMIZATIONS (MOO)
  •  related image
    NON-LINEAR OPTIMIZATION PROBLEMS
  •  related image
    Numerical results
  •  related image
    RANDOM NOISE
  •  related image
    SCATTERED DATA
  •  related image
    SCATTERED FIELD
  •  related image
    SCATTERED FIELD DATA
  •  related image
    SHADOW REGIONS
  •  related image
    Shape change
  •  related image
    SHAPE RECONSTRUCTION
  •  related image
    SIMULATED DATA
  •  related image
    SINGLE FREQUENCY
  •  related image
    SIZE PARAMETERS
  •  related image
    T-MATRIX METHOD
  •  related image
    TM POLARIZATION
  •  related image
    TRANSVERSE ELECTRICS
  •  related image
    TRANSVERSE MAGNETIC
  •  related image
    Inverse problems
  •  related image
    Multiobjective optimization
  •  related image
    Plasmons
  •  related image
    Problem solving