A DIRECT ALGORITHM FOR ULTRASOUND IMAGING OF INTERNAL CORROSION

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We develop a direct (noniterative) algorithm to address the inverse problem of identifying a collection of disjoint internal corrosive parts of small Hausdorff measures in pipelines from exterior ultrasound boundary measurements. The method is based on an asymptotic expansion of the effect of the corrosion in terms of the size of the corrosive parts. We numerically test the validity of the asymptotic formula at high frequencies. We also propose a simple procedure to remove high-frequency instabilities in our inversion procedure. We illustrate our main findings with a variety of computational examples.
Publisher
SIAM PUBLICATIONS
Issue Date
2011
Language
English
Article Type
Article
Keywords

MUSIC ALGORITHM; CRACKS

Citation

SIAM JOURNAL ON NUMERICAL ANALYSIS, v.49, no.3, pp.1177 - 1193

ISSN
0036-1429
URI
http://hdl.handle.net/10203/95409
Appears in Collection
MA-Journal Papers(저널논문)
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