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Applying the Algorithm of Calculation in the Frequency Domain to Ultrasonic Tomography

  • Acoustic Methods
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Abstract

Applying ultrasonic-tomography systems makes it possible to precisely determine the shape and dimensions of flaws with the aim of establishing the degree to which the flaws influence safe operation of tested objects. This problem is solved by using special algorithms that make use of echo-signals recorded by an ultrasonic transducer to generate synthesized images of flaws in the sample. The use of phased arrays in ultrasonic tomography is explained by their ability to provide exhaustive data about the internal structure of a test object, thus allowing formation of the high-quality synthesized images of flaws in the object. Increasing the speed of ultrasonic tomography by using phased arrays necessitates the development and implementation of fast data-processing algorithms. In this connection, of interest are calculation algorithms in the frequency domain, which ensure the high speed of producing synthesized images. An ultrasonic-tomography algorithm is proposed that is based on calculations in the frequency domain. The algorithm takes the complex nature of the propagation of ultrasonic waves into account and is connected with the presence of media with different acoustic properties (e.g., in the case of immersion tests). Possibilities offered by the algorithm are investigated by computer simulations using the licensed CIVA 2016 software package and experimentally.

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References

  1. Barkhatov, VA., Development of methods of ultrasonic nondestructive testing of welded joints, Russ. J. Nondestr. Test., 2003, vol. 39, no. 1, pp. 23–47.

    Article  Google Scholar 

  2. Doctor, SR., Hall, TE., and Reid, LD., SAFT—the evolution of a signal processing technology for ultrasonic testing, NDT Int., 1986, vol. 19, no. 3, pp. 163–167.

    Article  Google Scholar 

  3. Langenberg, KJ., Berger, M, Kreutter, T, Mayer, K, and Schmitz, V, Synthetic aperture focusing technique signal processing, NDT Int., 1986, vol. 19, no. 3, pp. 177–189.

    Article  Google Scholar 

  4. Holmes, C, Drinkwater, B, and Wilcox, P, The post-processing of ultrasonic array data using the total focusing method, Insight-Non-Destruct. Test. Cond. Monit., 2004, vol. 46, no. 11, pp. 677–680.

    Article  Google Scholar 

  5. Bazulin, EG., Comparison of systems for ultrasonic nondestructive testing using antenna arrays or phased antenna arrays, Russ. J. Nondestr. Test., 2013, vol. 49, no. 7, pp. 404–423.

    Article  Google Scholar 

  6. Holmes, C, Drinkwater, BW., and Wilcox, PD., Post-processing of the full matrix of ultrasonic transmit–receive array data for non-destructive evaluation, NDT & Int., 2005, vol. 38, no. 8, pp. 701–711.

    Article  Google Scholar 

  7. Verkooijen, J and Boulavinov, A, Sampling phased array a new technique for ultrasonic signal processing and imaging, Insight-Non-Destr. Test. Cond. Monit., 2008, vol. 50, no. 3, pp. 153–157.

    Article  Google Scholar 

  8. Bolotina, I, Bulavinov, A, Lider, A, Sednev, D, and Shtaynbreher, A, Ultrasonic inspection of spent nuclear fuel casks, IOP Conf. Ser. Mater. Sci. Eng., 2015, vol. 81, no. 1, article no. 012073.

    Article  Google Scholar 

  9. Portzgen, N, Gisolf, D, and Blacquiere, G, Inverse wave field extrapolation: a different NDI approach to imaging defects, IEEE Trans. Ultrason. Ferroelectrics Freq. Control, 2007, vol. 54, no. 1.

    Google Scholar 

  10. Stepinski, T, An implementation of synthetic aperture focusing technique in frequency domain, IEEE Trans. Ultrason. Ferroelectrics Freq. Control, 2007, vol. 54, no. 7.

    Google Scholar 

  11. Skjelvareid, MH., Olofsson, T, Birkelund, Y, and Larsen, Y, Synthetic aperture focusing of ultrasonic data from multilayered media using an omega-k algorithm, IEEE Trans. Ultrason. Ferroelectrics Freq. Control, 2011, vol. 58, no. 5.

    Google Scholar 

  12. Lukomski, T, Non-stationary phase shift migration for flaw detection in objects with lateral velocity variations, Insight-Non-Destr. Test. Cond. Monit., 2014, vol. 56, no. 9, pp. 477–482.

    Article  Google Scholar 

  13. Dolmatov, DO., Salchak, YA., and Pinchuk, R, Frequency-domain imaging algorithm for ultrasonic testing by application of matrix phased arrays, MATEC Web Conf., 2017, vol. 102, article no. 1015.

    Article  Google Scholar 

  14. Stolt, RH., Migration by Fourier transform, Geophysics, 1978, vol. 43, no. 1, pp. 23–48.

    Article  Google Scholar 

  15. Gazdag, J, Wave equation migration with the phase-shift method, Geophysics, 1978, vol. 43, no. 7, pp. 1342–1351.

    Article  Google Scholar 

  16. Mahaut, S, Darmon, M, Chatillon, S, Jenson, F, and Calmon, P, Recent advances and current trends of ultrasonic modelling in CIVA, Insight-Non-Destr. Test. Cond. Monit., 2009, vol. 51, no. 2, pp. 78–81.

    Article  Google Scholar 

  17. Rougeron, G, Lambert, J, Iakovleva, E, Lacassagne, L, and Dominguez, N, Implementation of a GPU accelerated total focusing reconstruction method within CIVA software, AIP Conf. Proc., 2014, vol. 1581, no. 1, pp. 1983–1990.

    Article  Google Scholar 

  18. Fan, C, Caleap, M, Pan, M, and Drinkwater, BW., A comparison between ultrasonic array beamforming and super resolution imaging algorithms for non-destructive evaluation, Ultrasonics, 2014, vol. 54, no. 7, pp. 1842–1850.

    Article  Google Scholar 

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Correspondence to D. O. Dolmatov.

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Original Russian Text © D.O. Dolmatov, D.G. Demyanyuk, D.A. Sednev, R.V. Pinchuk, 2018, published in Defektoskopiya, 2018, No. 4, pp. 12–17.

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Dolmatov, D.O., Demyanyuk, D.G., Sednev, D.A. et al. Applying the Algorithm of Calculation in the Frequency Domain to Ultrasonic Tomography. Russ J Nondestruct Test 54, 232–236 (2018). https://doi.org/10.1134/S1061830918040058

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  • DOI: https://doi.org/10.1134/S1061830918040058

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