Modeling the Pressure-Leakage Response of Water Distribution Systems Based on Individual Leak Behavior
Publication: Journal of Hydraulic Engineering
Volume 141, Issue 5
Abstract
Pressure management has been used for more than 3 decades to reduce leakage from water distribution systems. While few of these studies have been published, information on the ranges of field study leakage exponents is available. In contrast, several studies on the pressure-leakage relationship of individual leaks have been published, and verified models have been developed for predicting the response of elastically deforming leaks. The main aim of this paper was to determine whether researchers’ current understanding of the pressure-leakage response of individual leaks can be reconciled with the observed pressure-leakage response of district metered areas containing many leaks. To investigate this, a model of the distribution of individual leaks and their parameters was developed based on available literature and expert advice. A repeatability study showed that such a model can indeed produce typical distributions of leakage exponents found in field studies. A sensitivity analysis of the various parameters showed that the average system pressure and condition of the system had the greatest influence on the system leakage exponent. Finally, it was shown that a small fraction of leaks with high leakage numbers (i.e., in highly flexible material or closing under zero pressure conditions) can explain the high background leakage exponents often found in systems with only background leakage.
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Acknowledgments
The writers would like to express their sincere appreciation towards Mr. Allan Lambert, who freely shared knowledge and experience with the writers, and whose assistance with setting up realistic models of leaks in water distribution systems was invaluable.
References
Ashcroft, A., and Taylor, D. (1983). “The ups and downs of flow and pressure.” Surveyor, 7, 16.
Bovey, H. T. (1906). A treatise on hydraulics, Wiley, New York.
Brater, E. F., and King, H. W. (1976). Handbook of hydraulics for the solution of hydraulic engineering problems, McGraw-Hill, New York.
Cassa, A., and Van Zyl, J. (2011). “Predicting the head-area slopes and leakage exponents of cracks in pipes.” Computing and Control for the Water Industry (CCWI): Urban Water Management—Challenges and Opportunities, Univ. of Exeter, U.K.
Cassa, A. M., and Van Zyl, J. E. (2013). “Predicting the pressure-leakage slope of cracks in pipes subject to elastic deformations.” J. Water Supply Res. Technol. AQUA, 62(4), 214–223.
Cassa, A. M., Van Zyl, J. E., and Laubscher, R. F. (2010). “A numerical investigation into the effect of pressure on holes and cracks in water supply pipes.” Urban Water J., 7(2), 109–120.
Farley, M., and Trow, S. (2003). Losses in water distribution network, Int. Water Association, London.
Ferrante, M. (2012). “Experimental investigation of the effects of pipe material on the leak head discharge relationship.” J. Hydraul. Eng., 736–743.
Ferrante, M., Massari, C., Brunone, B., and Meniconi, S. (2011). “Experimental evidence of hysteresis in the head-discharge relationship for a leak in a polyethylene pipe.” J. Hydraul. Eng., 775–780.
Greyvenstein, B., and Van Zyl, J. E. (2007). “An experimental investigation into the pressure-leakage relationship of some failed water pipes.” J. Water Supply Res. Technol. AQUA, 56(2), 117–124.
Hamilton, S., and Krywyj, D. (2012). “The problem of leakage detection on large diameter mains, water loss 2012, Manila, Philippines.” 〈http://www.iwa-waterloss.org/2012/2012papers.html〉 (Nov. 10, 2014).
Hiki, S. (1981). “Relationship between leakage and pressure.” Jpn. Waterworks Assoc. J., 51(5), 50–54.
Idelchick, I. (1994). Handbook of hydraulic resistance, Begell House, Redding, CT.
Lambert, A. (2000). What do we know about pressure: Leakage relationship in distribution system?, Int. Water Association, London.
Lambert, A. (2009). “Ten years experience in using the UARL formula to calculate infrastructure leakage index.” Water Loss 2009 Conf. Proc., Cape Town.
Lambert, A., Fantozzi, M., and Thornton, J. (2013). “Practical approaches to modeling leakage and pressure management in distribution systems—Progress since 2005.” Proc., 12th Int. Conf. on Computing and Control for the Water Industry, CCWI2013, Perugia, Italy.
Lea, F. C. (1908). Hydraulics, Edward Arnold Publishers, New York.
Massari, C., Ferrante, M., Brunone, B., and Meniconi, S. (2012). “Is the leak head-discharge relationship in polyethylene pipes a bijective function?.” J. Hydraul. Res., 50(4), 409–417.
May, J. (1994). “Pressure dependent leakage.” World Water Environ. Eng., 10.
Mckenzie, R., Mostert, H., and de Jager, T. (2004). “Leakage reduction through pressure management in Khayelitsha: Two years down the line.” Proc., 2004 Biennial Water Institute of South Africa Conf., ICC, Cape Town.
Ogura. (1979). “Experiment on the relationship between leakage and pressure.” Jpn. Water Works Assoc., 6(572), 38–45.
Parry, J. (1881). Water: Its composition, collection and distribution, Frederick Warne and Company, London.
Schwaller, J., and Van Zyl, J. E. (2014). “Implications of the known pressure-response of individual leaks for whole distribution systems.” Procedia Eng., 70, 1513–1517.
Sutton, J. (1997). “Gibrat’s legacy.” J. Econ. Lit., 35(1), 40–59.
Van Zyl, J. E., and Cassa, A. M. (2014). “Modeling elastically deforming leaks in water distribution pipes.” J. Hydraul. Eng., 182–189.
Van Zyl, J. E., and Clayton, C. (2007). “The effect of pressure on leakage in water distribution systems.” Water Manage., 160(WM2), 109–114.
Walski, T., Bezts, W., Posluzny, E., Weir, M., and Whitman, B. (2006). “Modeling leakage reduction through pressure control.” J. Am. Water Works Assoc., 4(98), 147–155.
Wu, Z. Y., et al. (2011). Water loss reduction, Bentley Institute, Exton, PA.
Information & Authors
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Published In
Journal of Hydraulic Engineering
Volume 141 • Issue 5 • May 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jul 5, 2013
Accepted: Oct 27, 2014
Published online: Dec 8, 2014
Published in print: May 1, 2015
Discussion open until: May 8, 2015
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