Microwave Detection of Cracks in Buried Pipes using the Complex Frequency Technique
Keywords:
Microwave Detection of Cracks in Buried Pipes using the Complex Frequency TechniqueAbstract
This work outlines a new technique for detecting cracks in buried pipes using scattered fields. The matrix pencil method (MPM) is applied on synthetic data to extract the natural frequency poles. A 50 cm long hollow pipe, 2.5 cm in diameter, and 5 mm in thickness is considered. Cracks of arc lengths of 6 cm and 4 cm with a width of 0.5 mm are introduced into the metallic pipes. It is shown that the MPM has the capability to extract distinctive poles associated with these cracks even when the pipe is hidden behind plywood, buried in sand, or when the synthetic data is corrupted with random noise of 10 dB signal to noise ratio.
Downloads
References
S. Eyuboglu, H. Mahdi, and H. Al-Shukri,
“Detection of water leak using ground penetrating
radar,” Central Arkansas Water, Little Rock,
Arkansas, 2004.
O. Duran, K. Althoefer, and L. D. Seneviratne,
“Automated pipe defect detection and
categorization using camera/laser-based profiler
and artificial neural network,” IEEE Trans. on
Automation Science and Engineering, vol. 4, no. 1,
pp. 118-126, January 2007.
Electric Power Research Institute,
M. Silk and K. Bainton, “The propagation in metal
tubing of ultrasonic wave modes equivalent to
Lamb waves,” Ultrasonics, vol. 17, no. 1, pp. 11–
, January 1979.
P. Gamba and S. Lossani, “Neural detection of pipe
signatures in ground penetrating radar,” IEEE
Trans. on Geoscience and Remote Sensing, vol. 38,
no. 2, pp. 790-797, March 2000.
FEKO Field Computations Involving Objects or
Arbitrary Shape, http://www.feko.info.
Y. Hua and T. K. Sarkar, "Matrix pencil method
for estimating parameters of exponentially
damped/undamped sinusoids in noise," IEEE
DEEK, EL-SHENAWEE: MICROWAVE DETECTION OF CRACKS IN BURIED PIPES USING THE COMPLEX FREQUENCY TECHNIQUE
Trans. Acoustic Speech and Signal Processing, vol.
, no. 5, pp. 814-824, May 1990.
O. M. Pereira-Filho and T. K. Sarkar, “Using the
matrix pencil method to estimate the parameters by
a sum of complex exponentials,” IEEE Antennas
Propagation Magazine, vol. 37, no. 1, pp. 48–55,
February 1995.
Y. Hua and T. K. Sarkar, “Generalized pencil-of-
functions method for extracting the poles of an
extracting the poles of an electromagnetic system
from its transient response,” IEEE Trans. on
Antennas Propagation, vol. 37, no. 2, pp. 229–234,
February 1989.
A. T. Blischak and M. Manteghi, “Pole residue
techniques for chipless RFID detection,”
International Symposium on Antennas and
Propagation, Charleston, SC, pp. 1 - 4, June
L. Marin and R.W. Latham, “Representation of
transient scattered fields in terms of free
oscillations of bodies,” Proceedings in IEEE, vol.
, no. 5, pp. 640 - 641, May 1972.
R. S. Adve, T. K. Sarkar, O. Maroja, C. Pereira-
Filho, and S. M. Rao, “Extrapolation of time-
domain responses from three-dimensional
conducting objects utilizing the matrix pencil
technique,” IEEE Trans. on Antennas and
Propagation, vol. 45, no. 1, pp. 147-156, January
Y. Hua and T. K. Sarkar, “Matrix pencil and
system poles,” Signal Processing, vol. 21, no. 2,
pp. 195-198, October 1990.
J. Chauveau, N. Beaucoudrey, and J. Saillard,
“Characterization of perfectly conducting targets
in resonance domain with their quality of
resonance,” Progress In Electromagnetics
Research, vol. 74, pp. 69–84, 2007.
D. A. Woten, M. R. Hajihashemi, A. M. Hassan,
and Magda El-Shenawee, “Experimental
microwave validation of level set reconstruction
algorithm,” IEEE Trans. on Antennas and
Propagation, vol. 58, no. 1, pp. 230-233, January
F. Deek, “Microwave detection of cracks in
buried pipes using the complex frequency
technique,” M.S. Thesis, Eleg, U of A,
Fayetteville, AR, 2010.
D. Guo, S. Shamai, and S. Verdu, “Estimation of
non-Gaussian random variables in Gaussian noise:
properties of the MMSE,” International
Symposium on Information Theory, Toronto,
Canada, July 6-11, pp. 1083-1087, 2008.
M. Mokhtar, “Analysis of cylindrical frequency
selective surfaces,” Proc. of Radio Science
Conference, Helwan, Egypt, pp. B8/1 – B8/8,
February 1998


