Damage Identification Using Electromagnetic Waves Based on Born Imaging Algorithm
Publication: Journal of Engineering Mechanics
Volume 135, Issue 7
Abstract
Reconstructing damage geometry with computationally efficient and effective algorithms is of primary importance in establishing a robust structural health monitoring (SHM) system. In this paper, Born imaging algorithm is proposed for three-dimensional (3D) damage imaging of reinforced concrete structures using electromagnetic waves. This algorithm is derived in time domain for inhomogeneous isotropic and lossy structures. In order to reduce the computational cost of the algorithm, different imaging conditions are introduced. Numerical simulations in a 2D transverse magnetic case for a reinforced concrete slab with multiple damages are performed to test the effectiveness of the algorithm. In this simulated study, sensor data, incident field, and back-propagated field are computed via a finite difference time-domain method. It is concluded that the proposed imaging algorithm is capable of efficiently identifying the damages’ geometries and may be employed in a SHM system.
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References
Alam, M., McClellan, J. H., Norville, P., and Scott, W. R. (2004). “Time-reverse imaging for detection of landmines.” Proc. SPIE, 5415, 167–174.
Baysal, E., Kosloff, D. D., and Sherwood, J. W. C. (1984). “A two-way non-reflecting wave equation.” Geophysics, 49, 132–141.
Biondi, B. L. (2004). 3-D seismic imaging, Stanford Univ., Stanford, Calif.
Chang, F. K. (1997). “Structural health monitoring: A summary report.” Proc., 1st Int. Workshop on Structural Health Monitoring, Stanford Univ., Stanford, Calif., 19–29.
Chang, W. F., and McMechan, G. A. (1986). “Reverse time migration of offset vertical seismic profiling data using the excitation time imaging condition.” Geophysics, 51(1), 67–84.
Chang, W. F., and McMechan, G. A. (1994). “3-D elastic prestack reverse time depth migration.” Geophysics, 59(4), 597–609.
Chaturvedi, P., and Plumb, R. G. (1995). “Electromagnetic imaging of underground targets using constrained optimization.” IEEE Trans. Geosci. Remote Sens., GE–33(3), 551–561.
Chen, J., and Schuster, G. T. (1999). “Resolution limits of migrated images.” Geophysics, 64, 1046–1053.
Claerbout, J. F. (1971). “Toward a unified theory of reflector mapping.” Geophysics, 36(3), 467–481.
Cui, T. J., and Chew, W. C. (2002). “Diffraction tomographic algorithm for the detection of 3D objects buried in a lossy half-space.” IEEE Trans. Antennas Propag., 50(1), 42–49.
Etgen, J. T. (1986). “Prestack reverse-time migration of shot profiles.” SEP Rep. No. 50, 151–169.
Felsen, L., and Marcuvitz, N. (1994). Radiation and scattering of waves, IEEE, New York.
Gazdag, J. (1978). “Wave equation migration with the phase-shift method.” Geophysics, 43(7), 1342–1351.
Haykin, S. (1999). Neural networks, a comprehensive foundation, 2nd Ed., Prentice-Hall, Upper Saddle River, N.J.
Johansson, E. M., and Mast, J. E. (1994). “Three-dimensional ground penetration radar imaging using synthetic aperture time-domain focusing.” Proc. SPIE, 2275, 205–214.
Kak, A. C., and Slaney, M. (1988). Principles of computerized tomographic imaging, IEEE, New York.
Kim, Y. J., Jofre, L., Flaviis, F. D., and Feng, M. Q. (2004). “Microwave subsurface imaging technology for damage detection.” J. Eng. Mech., 130(7), 858–866.
Kosmas, P., and Rappaport, C. M. (2005). “Time reversal with the FDTD method for microwave breast cancer detection.” IEEE Trans. Microwave Theory Tech., 53(7), 2317–2323.
Leuschen, C., and Plumb, R. (2001). “A matched-filter-based reverse-time migration algorithm for GPR data.” IEEE Trans. Geosci. Remote Sens., GE–39(5), 929–936.
Lin, X., and Yuan, F. G. (2005). “Experimental study of applying migration technique in structural health monitoring.” Int. J. Struct. Health Monit., 4(4), 341–353.
Loewenthal, D., and Hu, L. Z. (1991). “Two methods for computing the imaging condition for common-shot prestack migration.” Geophysics, 56(3), 378–381.
Loewenthal, D., Stoffa, P. L., and Faria, E. L. (1987). “Suppressing the unwanted reflections of the full wave equation.” Geophysics, 52(7), 1007–1012.
Nojavan, S., and Yuan, F. G. (2006). “Damage imaging of reinforced concrete structures using electromagnetic migration algorithm.” Int. J. Solids Struct., 43, 5886–5908.
Pastorino, M., Caorsi, S., and Messa, A. (2002). “A global optimization technique for microwave nondestructive evaluation.” IEEE Trans. Instrum. Meas., 51(4), 666–673.
Rekanos, I. T., and Raisanen, A. (2003). “Microwave imaging in the time domain of buried multiple scatterers by using an FTDT-based optimization technique.” IEEE Trans. Magn., 39(3), 1381–1384.
Sabbagh, H. A., Sabbagh, L. D., and Roberts, T. M. (1988). “An eddy current model and algorithm for three dimensional nondestructive evaluation of advanced composites.” IEEE Trans. Magn., 24(6), 3201–3212.
Schneider, W. A. (1978). “Integral formulation for migration in two and three dimensions.” Geophysics, 43(1), 49–76.
Slaney, M., Kak, A. C., and Larsen, L. E. (1984). “Limitation of imaging with first-order diffraction tomography.” IEEE Trans. Microwave Theory Tech., 32(8), 860–874.
Stolt, R. H. (1978). “Migration by Fourier transform.” Geophysics, 43(1), 23–48.
Taflove, A. (1995). Computational electrodynamics: The finite difference time domain method, Artech House, Boston.
Van den Berg, P. M., and Kleinman, R. E. (1997). “A contrast source inversion method.” Inverse Probl., 13, 1607–1620.
Vidale, J. E. (1988). “Finite difference traveltime calculation.” Bull. Seismol. Soc. Am., 78, 2062–2076.
Wang, T., Oristaglio, M., Tripp, A., and Hohmann, G. (1994). “Inversion of diffusive transient electromagnetic data by a conjugate gradient method.” Radio Sci., 29(4), 1143–1156.
Yee, K. S. (1966). “Numerical solution of initial boundary value problems involving Maxwell’s equations in isotropic media.” IEEE Trans. Antennas Propag., 14, 302–307.
Zhdanov, M. S. (1988). Integral transforms in geophysics, Springer, Berlin.
Zhdanov, M. S. (2002). Geophysical inverse theory and regularization problems, Elsevier Science, Amsterdam, The Netherlands.
Zhu, J., and Lines, L. R. (1997). “Implicit interpolation in reverse time migration.” Geophysics, 62, 906–917.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 135 • Issue 7 • July 2009
Pages: 717 - 728
Copyright
© 2009 ASCE.
History
Received: Feb 1, 2005
Accepted: Oct 27, 2008
Published online: Jun 15, 2009
Published in print: Jul 2009
Notes
Note. Associate Editor: Henri P. Gavin
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