Guided wave tomography with an improved scattering model

Producing accurate thickness maps of corrosion damage is of great importance for assessing life in the petrochemical industry. Guided wave tomography provides a solution for this, by sending guided waves through the region of interest, then using tomographic imaging techniques to reconstruct the thickness map, importantly eliminating the need to take measurements at all points across the surface. However, to achieve accurate maps, the imaging algorithm must account for the way in which the guided waves interact with corrosion defects, and the complex scattering which occurs. Traditional approaches have exploited the dispersive nature of guided waves: a velocity map is produced from a dataset, then converted to thickness using the dispersion relationship. However, these relationships are derived for plates of constant thickness, which is not the case in the majority of defects, causing significant inaccuracies to exist in the images. This paper develops a more sophisticated inversion solution which accounts for the full-guided wave scattering, enabling more accurate images with resolution better than a wavelength, compared with two wavelengths previously. This is demonstrated with simulated and experimental data. The speed and stability of the algorithm in the presence of random noise and systematic errors is also demonstrated.

[1]  Peter Huthwaite,et al.  Evaluation of inversion approaches for guided wave thickness mapping , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[2]  Paul D. Wilcox,et al.  Ultrasonic arrays for non-destructive evaluation: A review , 2006 .

[3]  Peter Huthwaite,et al.  Accelerated finite element elastodynamic simulations using the GPU , 2014, J. Comput. Phys..

[4]  P Huthwaite,et al.  Improving accuracy through density correction in guided wave tomography , 2016, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[5]  P Huthwaite,et al.  High-resolution imaging without iteration: a fast and robust method for breast ultrasound tomography. , 2011, The Journal of the Acoustical Society of America.

[6]  F. Simonetti,et al.  High-resolution guided wave tomography , 2013 .

[7]  Arjan Mast,et al.  Experimental results of guided wave travel time tomography , 2010 .

[8]  D. Malacara-Hernández,et al.  PRINCIPLES OF OPTICS , 2011 .

[9]  Peter Cawley,et al.  Guided wave diffraction tomography within the born approximation , 2010, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[10]  Chun H. Wang,et al.  Mindlin plate theory for damage detection: imaging of flexural inhomogeneities. , 2010, The Journal of the Acoustical Society of America.

[11]  Peter B. Nagy,et al.  Guided wave tomography of pipes with high-order helical modes , 2014 .

[12]  F. Cegla,et al.  Analytical prediction and experimental measurement for mode conversion and scattering of plate waves at non-symmetric circular blind holes in isotropic plates , 2008 .

[13]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[14]  A. Devaney A filtered backpropagation algorithm for diffraction tomography. , 1982, Ultrasonic imaging.

[15]  M. Lowe,et al.  DISPERSE: A GENERAL PURPOSE PROGRAM FOR CREATING DISPERSION CURVES , 1997 .

[16]  Chun H. Wang,et al.  A comparison and extensions of algorithms for quantitative imaging of laminar damage in plates. I. Point spread functions and near field imaging , 2015 .

[17]  Chun H. Wang,et al.  A comparison and extensions of algorithms for quantitative imaging of laminar damage in plates. II. Non-monopole scattering and noise tolerance , 2016 .

[18]  Alexander Velichko,et al.  3-D reconstruction of sub-wavelength scatterers from the measurement of scattered fields in elastic waveguides , 2014, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[19]  M. Oelze,et al.  Density imaging using inverse scattering. , 2009, The Journal of the Acoustical Society of America.

[20]  M. Hinders,et al.  Lamb wave tomography of pipe-like structures. , 2005, Ultrasonics.

[21]  P. Cawley,et al.  FEASIBILITY OF LOW‐FREQUENCY STRAIGHT‐RAY GUIDED WAVE TOMOGRAPHY , 2009 .

[22]  Andrew N. Norris,et al.  FLEXURAL WAVE PROPAGATION AND SCATTERING ON THIN PLATES USING MINDLIN THEORY , 1997 .

[23]  H. Lamb On waves in an elastic plate , 1917 .

[24]  J Homer,et al.  A computer simulation study of imaging flexural inhomogeneities using plate-wave diffraction tomography. , 2008, Ultrasonics.

[25]  Lianjie Huang,et al.  From beamforming to diffraction tomography , 2008 .

[26]  P. Huthwaite,et al.  Quantitative imaging with mechanical waves , 2012 .

[27]  Peter Cawley,et al.  Feasibility of low frequency straight-ray guided wave tomography , 2009 .

[28]  N. Duric,et al.  Combining time of flight and diffraction tomography for high resolution breast imaging: initial in vivo results (L). , 2012, The Journal of the Acoustical Society of America.

[29]  T. Grahn Lamb wave scattering from a circular partly through-thickness hole in a plate , 2003 .

[30]  D. Jansen,et al.  Air-coupled Lamb wave tomography , 1997, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[31]  M. Hinders,et al.  Guided wave helical ultrasonic tomography of pipes. , 2003, The Journal of the Acoustical Society of America.

[32]  M. Hinders,et al.  PARALLEL PROJECTION AND CROSSHOLE LAMB WAVE CONTACT SCANNING TOMOGRAPHY , 1999 .

[33]  P. Wilcox,et al.  Excitation and scattering of guided waves: relationships between solutions for plates and pipes. , 2009, The Journal of the Acoustical Society of America.

[34]  D. Hutchins,et al.  Lamb wave tomography , 1990, IEEE Symposium on Ultrasonics.

[35]  F.L. Degertekin,et al.  Lamb wave tomography and its application in pipe erosion/corrosion monitoring , 1995, 1995 IEEE Ultrasonics Symposium. Proceedings. An International Symposium.

[36]  M Castaings,et al.  Guided wave topological imaging of isotropic plates. , 2014, Ultrasonics.

[37]  Laurent Bourgeois,et al.  The linear sampling method in a waveguide: A modal formulation , 2008 .

[38]  N. Duric,et al.  On the spatial sampling of wave fields with circular ring apertures , 2007 .

[39]  Zheng Fan,et al.  Guided Wave Tomography Based on Full Waveform Inversion , 2016, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.

[40]  Ron Kimmel,et al.  Fast Marching Methods , 2004 .

[41]  Matthias Seher,et al.  Experimental Studies of the Inspection of Areas With Restricted Access Using A0 Lamb Wave Tomography , 2016, IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control.