Elastodynamic inversion for shape reconstruction and type classification of flaws

Two linearized inverse scattering methods are investigated to reconstruct the shape of flaws in the elastic solid. One is based on the Born approximation and the other is based on the Kirchhoff approximation. The Born inversion is sensitive to the volumetric flaw but not to a crack-like flaw. On the other hand, the Kirchhoff inversion reacts to both boundaries of volumetric and crack-like flaws. The combined use of Born and Kirchhoff inversions leads to the classification method of flaw type. The performance of the proposed classification procedure is demonstrated by the numerical simulations and then by the experimental measurements for the two-dimensional models of flaws. An example for the three-dimensional shape reconstruction is also shown by using the numerically calculated backscattering amplitudes.

[1]  Maslov asymptotic extension of generalized Radon transform inversion in anisotropic elastic media: a least-squares approach , 2000 .

[2]  James A. Krumhansl,et al.  Determination of flaw characteristics from ultrasonic scattering data , 1979 .

[3]  R. B. Thompson,et al.  Status of Implementation of the Inverse Born Sizing Algorithm , 1985 .

[4]  Jack K. Cohen,et al.  The singular function of a surface and physical optics inverse scattering , 1979 .

[5]  Lester W. Schmerr,et al.  A unified constrained inversion model for ultrasonic flaw sizing , 1989 .

[6]  A. Devaney.  Geophysical Diffraction Tomography , 1984, IEEE Transactions on Geoscience and Remote Sensing.

[7]  Jan Drewes Achenbach,et al.  Ray Methods For Waves In Elastic Solids , 1981 .

[8]  Karl-Jörg Langenberg.  Introduction to the special issue on inverse problems , 1989 .

[9]  S. Hirose,et al.  Elastodynamic inversion of 3D cavity from backscattering data , 1998 .

[10]  M. Kitahara.  Shape reconstruction of defects in an elastic solid , 1996 .

[11]  Maarten V. de Hoop,et al.  Generalized Radon transform inversions for reflectivity in anisotropic elastic media , 1997 .

[12]  J. H. Rose.  Elastic wave inverse scattering in nondestructive evaluation , 1989 .

[13]  M. Kitahara,et al.  A classification method of defect type by Born and Kirchhoff inversions , 2001 .

[14]  Jack K. Cohen,et al.  Progress on a Mathematical Inversion Technique for Non-Destructive Evaluation , 1980 .

[15]  D. Thompson,et al.  Review of Progress in Quantitative Nondestructive Evaluation , 1982 .

[16]  David K. Hsu,et al.  Reconstruction of inclusions in solids using ultrasonic Born inversion , 1984 .

[17]  S. Hirose.  Inverse Scattering for Flaw Type Classification , 1992 .