Frequency Response Diagram for Pipeline Leak Detection: Comparing the Odd and Even Harmonics
Publication: Journal of Water Resources Planning and Management
Volume 140, Issue 1
Abstract
Pipeline leak detection using hydraulic transient analysis is a relatively new detection technique. For single pipeline systems, recent work has led to two different approaches for determining leak parameters based on leak-induced patterns displayed in a pipeline’s frequency response diagram (FRD). The major difference between the two techniques is that one uses the leak-induced pattern within the odd harmonics of an FRD, while the other one uses the leak-induced pattern at the even harmonics. In order to compare and contrast the two approaches, the current research analyses the relationship between the characteristics of the leak-induced patterns and the parameters of the pipeline system. A dimensionless analysis, based on hydraulic impedance, is adopted to simplify the equations. The amplitudes of leak-induced patterns at both the odd and even harmonics in the FRD are found to be dependent on a critical parameter: the dimensionless steady-state valve impedance, . The value of is dependent on the steady-state valve opening. As a result, amplitudes of the leak-induced patterns within the FRD for any specific pipeline system can be controlled by the initial valve opening. This research also derives the equations for calculating the dimensionless leak size based on the value of and the amplitude of either leak-induced pattern. Finally, the two existing FRD-based leak detection methods are compared, and the approach using the odd harmonics is found to be superior.
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Acknowledgments
The research presented in this paper is supported by the Australian Research Council through the Discovery Project GrantDP1095270.
References
Brunone, B. (1999). “Transient test-based technique for leak detection in outfall pipes.” J. Water Resour. Plann. Manage., 302–306.
Chaudhry, M. H. (1987). Applied hydraulic transients, Van Nostrand Reinhold Company, New York.
Colombo, A. F., Lee, P., and Karney, B. W. (2009). “A selective literature review of transient-based leak detection methods.” J. Hydro-Environ. Res., 2(4), 212–227.
Covas, D., Ramos, H., and Betamio de Almeida, A. (2005). “Standing wave difference method for leak detection in pipeline systems.” J. Hydraul. Eng., 1106–1116.
Duan, H.-F., Lee, P. J., Ghidaoui, M. S., and Tung, Y.-K. (2011). “Leak detection in complex series pipelines by using the system frequency response method.” J. Hydraul. Res., 49(2), 213–221.
Ferrante, M., and Brunone, B. (2003). “Pipe system diagnosis and leak detection by unsteady-state tests. 1. harmonic analysis.” Adv. Water Resour., 26(1), 95–105.
Jönsson, L., and Larson, M. (1992). “Leak detection through hydraulic transient analysis.” Pipeline systems, B. Coulbeck and E. P. Evans, eds., Kluwer Academic Publishers, Dordrecht, The Netherlands, 273–286.
Jung, B. S., and Karney, B. W. (2008). “Systematic exploration of pipeline network calibration using transients.” J. Hydraul. Res., 46(Suppl. 1), 129–137.
Lee, P. J., Vítkovský, J. P., Lambert, M. F., Simpson, A. R., and Liggett, J. A. (2005a). “Leak location using the pattern of the frequency response diagram in pipelines: a numerical study.” J. Sound Vib., 284(3–5), 1051–1073.
Lee, P. J., Vítkovský, J. P., Lambert, M. F., Simpson, A. R., and Liggett, J. A. (2005b). “Frequency domain analysis for detecting pipeline leaks.” J. Hydraul. Eng., 596–604.
Lee, P. J., Lambert, M. F., Simpson, A. R., Vítkovský, J. P., and Liggett, J. A. (2006). “Experimental verification of the frequency response method for pipeline leak detection.” J. Hydraul. Res., 44(5), 693–707.
Lee, P. J., Vítkovský, J. P., Lambert, M. F., Simpson, A. R., and Liggett, J. A. (2007). “Leak location in pipelines using the impulse response function.” J. Hydraul. Res., 45(5), 643–652.
Lee, P. J., Vítkovský, J. P., Lambert, M. F., and Simpson, A. R. (2008). “Valve design for extracting response functions from hydraulic systems using pseudorandom binary signals.” J. Hydraul. Eng., 858–864.
Liggett, J. A., and Chen, L.-C. (1994). “Inverse transient analysis in pipe networks.” J. Hydraul. Eng., 934–955.
Mpesha, W., Gassman, S. L., and Chaudhry, M. H. (2001). “Leak detection in pipes by frequency response method.” J. Hydraul. Eng., 134–147.
Sattar, A. M., and Chaudhry, M. H. (2008). “Leak detection in pipelines by frequency response method.” J. Hydraul. Res., 46(Suppl. 1), 138–151.
Silva, R. A., Buiatti, C. M., Cruz, S. L., and Pereira, J. A. F. R. (1996). “Pressure wave behaviour and leak detection in pipelines.” Comput. Chem. Eng., 20(Suppl. pt A), S491–S496.
Vítkovský, J. P., Lambert, M. F., Simpson, A. R., and Liggett, J. A. (2007). “Experimental observation and analysis of inverse transients for pipeline leak detection.” J. Water Resour. Plann. Manage., 519–530.
Vítkovský, J. P., Lee, P. J., Spethens, M. L., Lambert, M. F., Simpson, A. R., and Liggett, J. A. (2003). “Leak and blockage detection in pipelines via an impulse response method.” Pumps, Electromechanical Devices and Systems Applied to Urban Water Management: Proc., Int. Conf., A. A. Balkema, Lisse, The Netherlands, 423–430.
Wylie, E. B., and Streeter, V. L. (1993). Fluid transients in systems, Prentice Hall, Englewood Cliffs, NJ.
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Published In
Journal of Water Resources Planning and Management
Volume 140 • Issue 1 • January 2014
Pages: 65 - 74
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jun 5, 2011
Accepted: Jun 13, 2012
Published online: Feb 9, 2013
Discussion open until: Jul 9, 2013
Published in print: Jan 1, 2014
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