Application of Elastic P-SV Reverse Time Migration to Synthetic Ultrasonic Echo Data from Concrete Members
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Abstract
Abstract The ultrasonic echo technique is frequently used in non-destructive testing (NDT) of concrete structures for thickness measurements, geometry determinations as well as localization of built-in components. To improve ultrasonic imaging of complex structures in concrete, we transferred a geophysical imaging technique, the reverse time migration (RTM), to NDT in civil engineering. In contrast to the conventionally used synthetic aperture focusing technique (SAFT) algorithms, RTM is a wavefield continuation method in time and uses the full wave equation. Thus, RTM can handle complicated wave propagations in any direction without dip limitation. In this paper, we focused on the application and evaluation of a two-dimensional (2D) elastic RTM algorithm considering compressional waves, vertically polarized shear waves, and Rayleigh waves. We tested the elastic RTM routine on synthetic ultrasonic echo data generated with a 2D concrete model consisting of several steps and circular air inclusions. As these complex structures can often be found in real-world NDT use cases, their imaging is especially important. By using elastic RTM, we were able to clearly reproduce vertical reflectors and lower edges of circular air voids inside our numerical concrete model. Such structures cannot be imaged with conventional SAFT algorithms. Furthermore, the used elastic RTM approach also yielded a better reconstruction of a horizontal reflector and upper boundaries of circular air inclusions. Our encouraging results demonstrate that elastic RTM has the potential to significantly improve the imaging of complex concrete structures and, thus, is a step forward for detailed, high-quality ultrasonic NDT in civil engineering.
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OpenAlex topics: Geophysical Methods and Applications · Seismic Imaging and Inversion Techniques · Seismic Waves and Analysis
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References (76)
Show source-provided references
1. Schickert, M., Krause, M.: Ultrasonic techniques for evaluation of reinforced concrete structures. In: Maierhofer, C., Reinhardt, H.-W., Dobmann, G. (eds.) Non-destructive Evaluation of Reinforced Concrete Structures, vol. 2, pp. 490–530. Woodhead Publishing Limited, Sawston, Great Britain (2010). https://doi.org/10.1533/9781845699604.2.49010.1533/9781845699604.2.490 ↗
2. Krause, M.: Localization of grouting faults in post tensioned concrete structure. In: Breysse, D. (ed.) Non-Destructive Assessment of Concrete Structures: Reliability and Limits of Single and Combined Techniques, pp. 263–304. Springer, Berlin, Germany (2012). https://doi.org/10.1007/978-94-007-2736-6_610.1007/978-94-007-2736-6_6 ↗
3. Niederleithinger, E., Wolf, J., Mielentz, F., Wiggenhauser, H., Pirskawetz, S.: Embedded ultrasonic transducers for active and passive concrete monitoring. Sensors 15(5), 9756–9772 (2015). https://doi.org/10.3390/s15050975610.3390/s150509756 ↗
4. Krause, M., Milmann, B., Schickert, M., K.M.: Investigation of Tendon Ducts by Means of Ultrasonic Echo Methods: A Comparative Study. Paper presented at the European Conference on NDT, Berlin (2006)
5. Krause, M., Mayer, K., Friese, M., Milmann, B., Mielentz, F., Ballier, G.: Progress in ultrasonic tendon duct imaging. Eur. J. Environ. Civil Eng. (2011). https://doi.org/10.1080/19648189.2011.969334110.1080/19648189.2011.9693341 ↗
6. Eichinger, E.M., Diem, J., J., K.: Bewertung des Zustandes von Spanngliedern auf der Grundlage von Untersuchungen an Massivbrücken der Stadt Wien. Institut für Stahlbeton und Massivbau (1) (2000)
7. Vogel, T.: Zustandserfassung von Brücken bei deren Abbruch - Erkenntnisse für Neubau und Erhaltung. Bauingenieur 77(12), 559–567 (2002)
8. Friese, M., Wiggenhauser, H.: New NDT technique for concrete structures: ultrasonic linear array and advanced imaging techniques. In: Proceedings of NDE/NDT for Highways and Bridges, Structural Materials Technology (SMT), Oakland (2008)
9. Bishko, A.V., Samokrutov, A.A., Shevaldykin, V.G.: Ultrasonic echo-pulse tomography of concrete using shear waves low-frequency phased antenna arrays. In: Proceedings of 17th World Conference on Nondestructive Testing, Shanghai, China (2008)
10. Shevaldykin, V.G., Samokrutov, A.A., Kozlov, V.N.: Ultrasonic low-frequency short-pulse transducers with dry point contact: development and application. In: Proceedings of International Symposium, NDT-CE, Berlin, Germany (2003)
11. Shull, P.J. (ed.): Nondestructive Evaluation: Theory, Techniques and Applications. Dekker, M., New York (2002). https://doi.org/10.1201/978020391106810.1201/9780203911068 ↗
12. Knödel, K., Krummel, H., Lange, G. (eds.): Handbuch zur Erkundung des Untergrundes Von Deponien: Band 3: Geophysik. Springer, Berlin (2005)
13. Rentsch, W., Krompholz, G.: Zur Bestimmung elastischer Konstanten durch Schallgeschwindigkeitsmessungen. Zeitschrift für Bergbau, Hüttenwesen und verwandte Wissenschaften 13, 492–504 (1961)
14. Unterausschuss Ultraschallprüfung FA ZfP im Bauwesen: Merkblatt B 04 Ultraschallverfahren zur Zerstörungsfreien Prüfung im Bauwesen. Deutsche Gesellschaft für Zerstörungsfreie Prüfung DGZfP (2018)
15. Holmes, C., Drinkwater, B.W., Wilcox, P.D.: Post-processing of the full matrix of ultrasonic transmit-receive array data for non-destructive evaluation. NDT & e International 38(8), 701–711 (2005). https://doi.org/10.1016/j.ndteint.2005.04.00210.1016/j.ndteint.2005.04.002 ↗
16. Kuchipudi, S.T., Ghosh, D.: An ultrasonic wave-based framework for imaging internal cracks in concrete. Struct. Control Health Monit. 29(12), 3108 (2022). https://doi.org/10.1002/stc.310810.1002/stc.3108 ↗
17. Schickert, M., Krause, M., Müller, W.: Ultrasonic imaging of concrete elements using reconstruction by synthetic aperture focusing technique. J. Mater. Civil Eng. 15, 235–246 (2003). https://doi.org/10.1061/(ASCE)0899-1561(2003)15:3(235)10.1061/(ASCE)0899-1561(2003)15:3(235) ↗
18. Mayer, K., Marklein, R., Langenberg, K.-J., Kreutter, T.: Three-dimensional imaging system based on Fourier transform synthetic aperture focusing technique. Ultrasonics 28(4), 241–255 (1990). https://doi.org/10.1016/0041-624X(90)90091-210.1016/0041-624X(90)90091-2 ↗
19. Mayer, K., Langenberg, K.-J., Krause, M., Milmann, B., Mielentz, F.: Characterization of reflector types by phase-sensitive ultrasonic data processing and imaging. J. Nondestruct. Eval. 27(1), 35–45 (2008). https://doi.org/10.1007/s10921-008-0035-310.1007/s10921-008-0035-3 ↗
20. Choi, H., Bittner, J., Popovics, J.S.: Comparison of ultrasonic imaging techniques for full-scale reinforced concrete. Transp. Res. Rec. 2592(1), 126–135 (2016). https://doi.org/10.3141/2592-1410.3141/2592-14 ↗
21. Hoegh, K., Khazanovich, L.: Extended synthetic aperture focusing technique for ultrasonic imaging of concrete. NDT & E Int. 74, 33–42 (2015). https://doi.org/10.1016/j.ndteint.2015.05.00110.1016/j.ndteint.2015.05.001 ↗
22. Shokouhi, P., Wolf, J., Wiggenhauser, H.: Detection of delamination in concrete bridge decks by joint amplitude and phase analysis of ultrasonic array measurements. J. Bridge Eng. 19(3), 04013005 (2014). https://doi.org/10.1061/(ASCE)BE.1943-5592.000051310.1061/(ASCE)BE.1943-5592.0000513 ↗
23. Lay, V., Effner, U., Niederleithinger, E., Arendt, J., Hofmann, M., Kudla, W.: Ultrasonic quality assurance at magnesia shotcrete sealing structures. Sensors 22(22), 8717 (2022). https://doi.org/10.3390/s2222871710.3390/s22228717 ↗
24. Ghosh, D., Kumar, R., Ganguli, A., Mukherjee, A.: Nondestructive evaluation of rebar corrosion-induced damage in concrete through ultrasonic imaging. J. Mater. Civ. Eng. 32(10), 04020294 (2020). https://doi.org/10.1061/(ASCE)MT.1943-5533.000339810.1061/(ASCE)MT.1943-5533.0003398 ↗
25. Beniwal, S., Ganguli, A.: Localized condition monitoring around rebars using focused ultrasonic field and SAFT. Res. Nondestruct. Eval. 27(1), 48–67 (2016)10.1080/09349847.2015.1052168 ↗
26. Effner, U., Mielentz, F., Niederleithinger, E., Friedrich, C., Mauke, R., Mayer, K.: Testing repository engineered barrier systems for cracks-a challenge. Materialwissenschaft und Werkstofftechnik 52(1), 19–31 (2021). https://doi.org/10.1002/mawe.20200011810.1002/mawe.202000118 ↗
27. Krause, M., Milmann, B., Mielentz, F., Streicher, D., Redmer, B., Mayer, K., Langenberg, K.-J., Schickert, M.: Ultrasonic imaging methods for investigation of post-tensioned concrete structures: a study of interfaces at artificial grouting faults and its verification. J. Nondestruct. Eval. 27, 67–82 (2008). https://doi.org/10.1007/s10921-008-0033-510.1007/s10921-008-0033-5 ↗
28. Ballier, G., Mayer, K., Langenberg, K.-J., Schulze, S., Krause, M.: Improvements on tendon duct examination by modelling and imaging with synthetic aperture and one-way inverse methods. In: Proceedings of 18th World Conference on Nondestructive Testing, Durban, South Africa (2012)
29. McMechan, G.A.: Migration by extrapolation of time-dependent boundary values. Geophys. Prospect. 31(3), 413–420 (1983). https://doi.org/10.1111/j.1365-2478.1983.tb01060.x10.1111/j.1365-2478.1983.tb01060.x ↗
30. Baysal, E., Kosloff, D.D., Sherwood, J.W.C.: Reverse time migration. Geophysics 48(11), 1514–1524 (1983). https://doi.org/10.1190/1.144143410.1190/1.1441434 ↗
31. Zhou, H., Hu, H., Zou, Z., Wo, Y., Youn, O.: Reverse time migration: a prospect of seismic imaging methodology. Earth Sci. Rev. 179, 207–227 (2018). https://doi.org/10.1016/j.earscirev.2018.02.00810.1016/j.earscirev.2018.02.008 ↗
32. Farmer, P.A., Jones, I.F., Zhou, H., Bloor, R.I., Goodwin, M.C.: Application of reverse time migration to complex imaging problems. First Break 24(9), 65–73 (2006). https://doi.org/10.3997/1365-2397.24.9.2710510.3997/1365-2397.24.9.27105 ↗
33. Ding, Y., Malehmir, A.: Reverse time migration (RTM) imaging of iron oxide deposits in the Ludvika mining area. Sweden Solid Earth 12(8), 1707–1718 (2021). https://doi.org/10.5194/se-12-1707-202110.5194/se-12-1707-2021 ↗
34. Chang, J., Wang, C., Tang, Y., Li, W.: Numerical investigations of ultrasonic reverse time migration for complex cracks near the surface. IEEE Access 10, 5559–5567 (2022). https://doi.org/10.1109/ACCESS.2021.314011910.1109/ACCESS.2021.3140119 ↗
35. Zhang, Y., Gao, X., Zhang, J., Jiao, J.: An ultrasonic reverse time migration imaging method based on higher-order singular value decomposition. Sensors 22(7), 2534 (2022). https://doi.org/10.3390/s2207253410.3390/s22072534 ↗
36. Müller, S., Niederleithinger, E., Bohlen, T.: Reverse time migration: a seismic imaging technique applied to synthetic ultrasonic data. Int. J. Geophys. (2012). https://doi.org/10.1155/2012/12846510.1155/2012/128465 ↗
37. Hu, M., Chen, S., Pan, D.: Reverse time migration based ultrasonic wave detection for concrete structures. In: Proceedings of Design, Construction and Maintenance of Bridges: Geo-Hubei International Conference on Sustainable Infrastructure, pp. 53–60 (2014)10.1061/9780784478516.007 ↗
38. Qi, Y., Chen, Z., Liu, H., Qi, Y., Tong, H., Xie, J.: Ultrasonic inspection of prefabricated constructions using reverse time migration imaging method. In: 2019 IEEE International Conference on Signal, Information and Data Processing (ICSIDP), pp. 1–4 (2019). https://doi.org/10.1109/ICSIDP47821.2019.917281710.1109/ICSIDP47821.2019.9172817 ↗
39. Liu, H., Xia, H., Zhuang, M., Long, Z., Liu, C., Cui, J., Xu, B., Hu, Q., Liu, Q.: Reverse time migration of acoustic waves for imaging based defects detection for concrete and CFST structures. Mech. Syst. Signal Process. 117, 210–220 (2019). https://doi.org/10.1016/j.ymssp.2018.07.01110.1016/j.ymssp.2018.07.011 ↗
40. Grohmann, M., Niederleithinger, E., Buske, S.: Geometry determination of a foundation slab using the ultrasonic echo technique and geophysical migration methods. J. Nondestruct. Eval. (2016). https://doi.org/10.1007/s10921-016-0334-z10.1007/s10921-016-0334-z ↗
41. Grohmann, M., Müller, S., Niederleithinger, E., Sieber, S.: Reverse time migration: introducing a new imaging technique for ultrasonic measurements in civil engineering. Near Surf. Geophys. 15(3), 242–258 (2017). https://doi.org/10.3997/1873-0604.201700610.3997/1873-0604.2017006 ↗
42. Chen, T., Huang, L.: Imaging faults using elastic reverse-time migration with updated velocities of waveform inversion. GRC Trans. 37 (2013)
43. Rocha, D., Sava, P.: Elastic least-squares reverse time migration using the energy norm. Geophysics 83(3), 237–248 (2018). https://doi.org/10.1190/geo2017-0465.110.1190/geo2017-0465.1 ↗
44. Yan, H., Yang, L., Dai, H., Li, X.-Y.: Implementation of elastic prestack reverse-time migration using an efficient dinite-difference scheme. Acta Geophys. 64(5), 1605–1625 (2016). https://doi.org/10.1515/acgeo-2016-007810.1515/acgeo-2016-0078 ↗
45. Zhong, Y., Gu, H., Liu, Y., Mao, Q.: Elastic reverse-time migration with complex topography. Energies (2021). https://doi.org/10.3390/en1423783710.3390/en14237837 ↗
46. Xiao, X., Leaney, W.S.: Local vertical seismic profiling (VSP) elastic reverse-time migration and migration resolution: salt-flank imaging with transmitted P-to-S waves. Geophysics 75(2), 35–49 (2010). https://doi.org/10.1190/1.330946010.1190/1.3309460 ↗
47. Shi, Y., Zhang, W., Wang, Y.: Seismic elastic RTM with vector-wavefield decomposition. J. Geophys. Eng. 16(3), 509–524 (2019). https://doi.org/10.1093/jge/gxz02310.1093/jge/gxz023 ↗
48. Jing, C., Singh, V.P., Custodio, D., Cha, Y.H., Ross, W.S.: Benefits and applications of elastic reverse time migration in salt-related imaging. Expanded Abstract, Society of Exploration Geophysicists International Exposition and 87th Annual Meeting, 2017 (2017). https://doi.org/10.1190/segam2017-17409572.110.1190/segam2017-17409572.1 ↗
49. Anderson, B.E., Griffa, M., Bas, P.-Y.L., Ulrich, T.J., Johnson, P.A.: Experimental implementation of reverse time migration for nondestructive evaluation applications. J. Acoust. Soc. Am. 129(1), 8–14 (2011). https://doi.org/10.1121/1.352637910.1121/1.3526379 ↗
50. Rao, J., Yang, J., He, J., Huang, M., Rank, E.: Elastic least-squares reverse-time migration with density variation for flaw imaging in heterogeneous structures. Smart Mater. Struct. 29(3), 035017 (2020). https://doi.org/10.1088/1361-665X/ab6ba410.1088/1361-665X/ab6ba4 ↗
51. Nguyen, L.T., Kocur, G.K., Saenger, E.H.: Defect mapping in pipes by ultrasonic wavefield cross-correlation: a synthetic verification. Ultrasonics 90, 153–165 (2018). https://doi.org/10.1016/j.ultras.2018.06.01410.1016/j.ultras.2018.06.014 ↗
52. Mizota, H., Amano, Y., Nakahata, K.: Application of the reverse time migration method to ultrasonic nondestructive imaging for anisotropic materials. Mater. Eval. 80(7), 28–37 (2022). https://doi.org/10.32548/2022.me-0424410.32548/2022.me-04244 ↗
53. Beniwal, S., Ganguli, A.: Defect detection around rebars in concrete using focused ultrasound and reverse time migration. Ultrasonics 62, 112–125 (2015). https://doi.org/10.1016/j.ultras.2015.05.00810.1016/j.ultras.2015.05.008 ↗
54. Nguyen, L.T., Modrak, R.T.: Ultrasonic wavefield inversion and migration in complex heterogeneous structures: 2d numerical imaging and nondestructive testing experiments. Ultrasonics 82, 357–370 (2018). https://doi.org/10.1016/j.ultras.2017.09.01110.1016/j.ultras.2017.09.011 ↗
55. Liu, H., Qi, Y., Chen, Z., Tong, H., Liu, C., Zhuang, M.: Ultrasonic inspection of grouted splice sleeves in precast concrete structures using elastic reverse time migration method. Mech. Syst. Signal Process. 148, 107152 (2021). https://doi.org/10.1016/j.ymssp.2020.10715210.1016/j.ymssp.2020.107152 ↗
56. Asadollahi, A., Khazanovich, L.: Analytical reverse time migration: an innovation in imaging of infrastructures using ultrasonic shear waves. Ultrasonics 88, 185–192 (2018). https://doi.org/10.1016/j.ultras.2018.04.00510.1016/j.ultras.2018.04.005 ↗
57. Asadollahi, A., Khazanovich, L.: Analytical reverse time migration with new imaging conditions for one-sided nondestructive evaluation of concrete elements using shear waves. Ultrasonics 99, 105960 (2019). https://doi.org/10.1016/j.ultras.2019.10596010.1016/j.ultras.2019.105960 ↗
58. Büttner, C., Niederleithinger, E., Buske, S., Friedrich, C.: Ultrasonic echo localization using seismic migration techniques in engineered barriers for nuclear waste storage. J. Nondestruct. Eval. 40(4), 1–10 (2021). https://doi.org/10.1007/s10921-021-00824-310.1007/s10921-021-00824-3 ↗
59. Sava, P., Hill, S.J.: Overview and classification of wavefield seismic imaging methods. Lead. Edge 28(2), 170–183 (2009). https://doi.org/10.1190/1.308605210.1190/1.3086052 ↗
60. Fomel, S., Sava, P., Vlad, I., Liu, Y., Bashkardin, V.: Madagascar: open-source software project for multidimensional data analysis and reproducible computational experiments. J. Open Res. Softw. (2013). https://doi.org/10.5334/jors.ag10.5334/jors.ag ↗
61. Saenger, E.H., Gold, N., Shapiro, S.A.: Modeling the propagation of elastic waves using a modified finite-difference grid. Wave Motion 31(1), 77–92 (2000). https://doi.org/10.1016/S0165-2125(99)00023-210.1016/S0165-2125(99)00023-2 ↗
62. Yang, L., Yan, H., Liu, H.: Optimal rotated staggered-grid finite-difference schemes for elastic wave modeling in TTI media. J. Appl. Geophys. 122, 40–52 (2015). https://doi.org/10.1016/j.jappgeo.2015.08.00710.1016/j.jappgeo.2015.08.007 ↗
63. Liu, Y., Sen, M.K.: An implicit staggered-grid finite-difference method for seismic modelling. Geophys. J. Int. 179(1), 459–474 (2009). https://doi.org/10.1111/j.1365-246X.2009.04305.x10.1111/j.1365-246X.2009.04305.x ↗
64. Reinhardt, H.W.: Zerstörungsfreie Strukturbestimmung von Betonbauteilen mit akustischen und elektromagnetischen Echo-Verfahren: Abschlussbericht Forschergruppe FOR384. Liste der erstellten Prüfkörper, Anhang (2007)
65. Bohlen, T., Saenger, E.H.: Accuracy of heterogeneous staggered-grid finite-difference modeling of Rayleigh waves. Geophysics 71(4), 109–115 (2006). https://doi.org/10.1190/1.221305110.1190/1.2213051 ↗
66. Clayton, R., Engquist, B.: Absorbing boundary conditions for acoustic and elastic wave equations. Bull. Seismol. Soc. Am. 67(6), 1529–1540 (1977). https://doi.org/10.1785/BSSA067006152910.1785/BSSA0670061529 ↗
67. Cerjan, C., Kosloff, D., Kosloff, R., Reshef, M.: A nonreflecting boundary condition for discrete acoustic and elastic wave equations. Geophysics 50(4), 705–708 (1985). https://doi.org/10.1190/1.144194510.1190/1.1441945 ↗
68. Ricker, N.: The form and laws of propagation of seismic wavelets. Geophysics (1953). https://doi.org/10.1190/1.143784310.1190/1.1437843 ↗
69. Gholamy, A., Kreinovich, V.: Why Ricker wavelets are successful in processing seismic data: Towards a theoretical explanation. Paper presentet at IEEE Symposium on Computational Intelligence for Engineering Solutions (CIES), Orlando Florida, USA (2014). https://doi.org/10.1109/CIES.2014.701182410.1109/CIES.2014.7011824 ↗
70. Maack, S.: Untersuchungen zum Schallfeld niederfrequenter Ultraschallprüfköpfe für die Anwendung im Bauwesen. PhD thesis, Bundesanstalt für Materialforschung und -prüfung (BAM) (2012)
71. Díaz, E., Sava, P.: Understanding the reverse time migration backscattering: noise or signal? Geophys. Prospect. 64(3), 581–594 (2016). https://doi.org/10.1111/1365-2478.1223210.1111/1365-2478.12232 ↗
72. Mayer, K., Cinta, P.M.: User Guide of Graphical User Interface inter_saft. Department of Computational Electronics and Photonics, University of Kassel, Kassel (2012)
73. Geoltrain, S., Brac, J.: Can we image complex structures with first-arrival traveltime? Geophysics 58(4), 564–575 (1993). https://doi.org/10.1190/1.144343910.1190/1.1443439 ↗
74. Müller, S.: Weiterentwicklung der Reverse Time Migration zur Anwendung auf Ultraschall-Echo-Daten in der zerstörungsfreien Prüfung. PhD thesis, Bundesanstalt für Materialforschung und -prüfung (BAM), Submitted at RWTH Aachen University (2023)
75. Wiggenhauser, H., Niederleithinger, E., Milmann, B.: Zerstörungsfreie Ultraschallprüfung dicker und hochbewehrter Betonbauteile. Bautechnik 94(10), 682–688 (2017). https://doi.org/10.1002/bate.20170004010.1002/bate.201700040 ↗
76. Weiss, R.M., Shragge, J.: Solving 3D anisotropic elastic wave equations on parallel GPU devices. Geophysics 78(2), 7–15 (2013). https://doi.org/10.1190/geo2012-0063.110.1190/geo2012-0063.1 ↗