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Erschienen in: Water Resources Management 11/2014

01.09.2014

Local and Global Leak Laws

The Relationship Between Pressure and Leakage for a Single Leak and for a District with Leaks

verfasst von: Marco Ferrante, Silvia Meniconi, Bruno Brunone

Erschienen in: Water Resources Management | Ausgabe 11/2014

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Abstract

The relationship between the functioning conditions of pipe systems and the leakage, or leak law, can be used at two different scales. At a local scale, i.e. for a single leak, it is derived from the classical orifice equation and, basing on experimental data, is modified to take into account all the relevant parameters it depends on (e.g., leak shape, pipe material and thickness, …). At a global scale, for a whole district or a part of a pressurized pipe system with several leaks, the same relationship is often used, basing on the assumption that the combination of local leak laws produces a similar global leak law.
In this paper the effects of the spatial variation of the leak law parameters at the local scale on the leak law at a global scale are analyzed. Two leak laws derived from the orifice equation, the power law and the linear law, are considered. Results suggest that the global leak law exponent is larger than the corresponding mean local leak law exponent since it takes into account the spatial variability of the quantities affecting leakage.

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Literatur
Zurück zum Zitat Bajura RA (1971) A model for flow distribution in manifolds. J Eng Power 93(1):7–12CrossRef Bajura RA (1971) A model for flow distribution in manifolds. J Eng Power 93(1):7–12CrossRef
Zurück zum Zitat Bajura RA, Jones E (1976) Flow distribution manifolds. J Fluids Eng-Trans Asme 52(12):654–666CrossRef Bajura RA, Jones E (1976) Flow distribution manifolds. J Fluids Eng-Trans Asme 52(12):654–666CrossRef
Zurück zum Zitat Berardi L, Giustolisi O, Todini E (2010) Accounting for uniformly distributed pipe demand in WDN analysis: enhanced GGA. Urban Water J 7(4):243–255CrossRef Berardi L, Giustolisi O, Todini E (2010) Accounting for uniformly distributed pipe demand in WDN analysis: enhanced GGA. Urban Water J 7(4):243–255CrossRef
Zurück zum Zitat Brunone B, Ferrante M (2001) Detecting leaks in pressurised pipes by means of transients. J Hydraul Res IAHR 39(5):539–547CrossRef Brunone B, Ferrante M (2001) Detecting leaks in pressurised pipes by means of transients. J Hydraul Res IAHR 39(5):539–547CrossRef
Zurück zum Zitat Cassa A.M, van Zyl JE, Laubscher R (2010) A numerical investigation into the effect of pressure on holes and cracks in water supply pipes. Urban Water J 7(2):109–120CrossRef Cassa A.M, van Zyl JE, Laubscher R (2010) A numerical investigation into the effect of pressure on holes and cracks in water supply pipes. Urban Water J 7(2):109–120CrossRef
Zurück zum Zitat Collins R, Boxall J (2013) The influence of ground conditions on intrusion flows through apertures in distribution pipes. J Hydraulic Eng ASCE 139(10):1052–1071CrossRef Collins R, Boxall J (2013) The influence of ground conditions on intrusion flows through apertures in distribution pipes. J Hydraulic Eng ASCE 139(10):1052–1071CrossRef
Zurück zum Zitat Ferrante M (2012) Experimental investigation of the effects of pipe material on the leak head-discharge relationship. J Hydraul Eng ASCE 138(8):736–743CrossRef Ferrante M (2012) Experimental investigation of the effects of pipe material on the leak head-discharge relationship. J Hydraul Eng ASCE 138(8):736–743CrossRef
Zurück zum Zitat Ferrante M, Brunone B, Meniconi S (2009a) Leak detection in branched pipe systems coupling wavelet analysis and a Lagrangian model. J Water Supply: Res Technol -AQUA 58(2):95–106CrossRef Ferrante M, Brunone B, Meniconi S (2009a) Leak detection in branched pipe systems coupling wavelet analysis and a Lagrangian model. J Water Supply: Res Technol -AQUA 58(2):95–106CrossRef
Zurück zum Zitat Ferrante M, Brunone B, Meniconi S (2009b) Leak-edge detection. J Hydraul Res IAHR 47(2):233–241CrossRef Ferrante M, Brunone B, Meniconi S (2009b) Leak-edge detection. J Hydraul Res IAHR 47(2):233–241CrossRef
Zurück zum Zitat Ferrante M, Massari C, Brunone B, Meniconi S (2011) Experimental evidence of hysteresis in the head-discharge relationship for a leak in a polyethylene pipe. J Hydraul Eng ASCE 137(7):775–780CrossRef Ferrante M, Massari C, Brunone B, Meniconi S (2011) Experimental evidence of hysteresis in the head-discharge relationship for a leak in a polyethylene pipe. J Hydraul Eng ASCE 137(7):775–780CrossRef
Zurück zum Zitat Ferrante M, Massari C, Todini E, Brunone B, Meniconi S (2013) Experimental investigation of leak hydraulics. J Hydroinformatics 15(3):666–675CrossRef Ferrante M, Massari C, Todini E, Brunone B, Meniconi S (2013) Experimental investigation of leak hydraulics. J Hydroinformatics 15(3):666–675CrossRef
Zurück zum Zitat Ferrante M, Todini E, Massari C, Brunone B, Meniconi S (2012) Equivalent hydraulic resistance to simulate pipes subject to diffuse outflows. J Hydroinformatics 14(1):65–74CrossRef Ferrante M, Todini E, Massari C, Brunone B, Meniconi S (2012) Equivalent hydraulic resistance to simulate pipes subject to diffuse outflows. J Hydroinformatics 14(1):65–74CrossRef
Zurück zum Zitat Greyvenstein B, van Zyl JE (2007) An experimental investigation into the pressure - leakage relationship of some failed water pipes. J Water Supply: Res Technol- AQUA 56(2):117–124CrossRef Greyvenstein B, van Zyl JE (2007) An experimental investigation into the pressure - leakage relationship of some failed water pipes. J Water Supply: Res Technol- AQUA 56(2):117–124CrossRef
Zurück zum Zitat Jaumouillé E, Piller O, van Zyl JE (2007) A hydraulic model for water distribution systems incorporating both inertia and leakage. Proc Int Conf Comput Control Water Ind 129–135 Jaumouillé E, Piller O, van Zyl JE (2007) A hydraulic model for water distribution systems incorporating both inertia and leakage. Proc Int Conf Comput Control Water Ind 129–135
Zurück zum Zitat Karadirek IE, Kara S, Yilmaz G, Muhammetoglu A, Muhammetoglu H (2012) Implementation of hydraulic modelling for water-loss reduction through pressure management. Water Resour Manag 26(9):2555–2568CrossRef Karadirek IE, Kara S, Yilmaz G, Muhammetoglu A, Muhammetoglu H (2012) Implementation of hydraulic modelling for water-loss reduction through pressure management. Water Resour Manag 26(9):2555–2568CrossRef
Zurück zum Zitat Lambert A (2001) What Do We know about pressure/leakage relationships in distribution systems.” Proc. IWA Specialised Conference: System Approach to Leakage Control and Water Distribution Systems Management. Brno, Czech Republic, pp 89–96 Lambert A (2001) What Do We know about pressure/leakage relationships in distribution systems.” Proc. IWA Specialised Conference: System Approach to Leakage Control and Water Distribution Systems Management. Brno, Czech Republic, pp 89–96
Zurück zum Zitat Massari C, Ferrante M, Brunone B, Meniconi S (2012) Is the leak head–discharge relationship in polyethylene pipes a bijective function?. J Hydraul Res IAHR 50(4):409–417CrossRef Massari C, Ferrante M, Brunone B, Meniconi S (2012) Is the leak head–discharge relationship in polyethylene pipes a bijective function?. J Hydraul Res IAHR 50(4):409–417CrossRef
Zurück zum Zitat May J (1994) Pressure dependent leakage. World Water Environmental Engineering, (October), 10. May J (1994) Pressure dependent leakage. World Water Environmental Engineering, (October), 10.
Zurück zum Zitat Meniconi S, Brunone B, Ferrante M, Massari C (2011) Small amplitude sharp pressure waves to diagnose pipe systems. Water Resour Manag 25(1):79–96CrossRef Meniconi S, Brunone B, Ferrante M, Massari C (2011) Small amplitude sharp pressure waves to diagnose pipe systems. Water Resour Manag 25(1):79–96CrossRef
Zurück zum Zitat Osterwalder J, Wirth C (1985) Experimental investigations of discharge behaviour of crack-like fractures in pipes. J Hydraul Res IAHR 23(3):255–272CrossRef Osterwalder J, Wirth C (1985) Experimental investigations of discharge behaviour of crack-like fractures in pipes. J Hydraul Res IAHR 23(3):255–272CrossRef
Zurück zum Zitat Rossman L (1994) EPANET 2 Users Manual. Water Supply and Water Resources Division National Risk Management Research Laboratory Cincinnati, OH 45268 Rossman L (1994) EPANET 2 Users Manual. Water Supply and Water Resources Division National Risk Management Research Laboratory Cincinnati, OH 45268
Zurück zum Zitat Tabesh M, Yekta AHA, Burrows R (2008) An integrated model to evaluate losses in water distribution systems. Water Resour Manag 23 (3): 477–492CrossRef Tabesh M, Yekta AHA, Burrows R (2008) An integrated model to evaluate losses in water distribution systems. Water Resour Manag 23 (3): 477–492CrossRef
Zurück zum Zitat Thornton J, Lambert A (2005) Progress in practical prediction of pressure: leakage, pressure: burst frequency and pressure: consumption relationships Proc of IWA Special Conference ’Leakage 2005’. Halifax, Canada Thornton J, Lambert A (2005) Progress in practical prediction of pressure: leakage, pressure: burst frequency and pressure: consumption relationships Proc of IWA Special Conference ’Leakage 2005’. Halifax, Canada
Zurück zum Zitat van Zyl JE, Cassa AM (2013) Modeling elastically deforming leaks in water distribution pipes. J Hydraul Eng ASCE 140(2):182–189CrossRef van Zyl JE, Cassa AM (2013) Modeling elastically deforming leaks in water distribution pipes. J Hydraul Eng ASCE 140(2):182–189CrossRef
Zurück zum Zitat van Zyl JE, Clayton C (2007) The effect of pressure on leakage in water distribution systems. Proc Inst Civil Eng: Water Manag 160(2):109–114 van Zyl JE, Clayton C (2007) The effect of pressure on leakage in water distribution systems. Proc Inst Civil Eng: Water Manag 160(2):109–114
Zurück zum Zitat Walski T, Bezts W, Posluszny E, Weir M (2006) Modeling leakage reduction: through pressure control. J A Water Works A 98(4):147–155 Walski T, Bezts W, Posluszny E, Weir M (2006) Modeling leakage reduction: through pressure control. J A Water Works A 98(4):147–155
Zurück zum Zitat Yang Y, Zhang T, Zhu DZ (2014) Influence of porous media on intrusion rate into water distribution pipes. J Water Supply: Res Technol - AQUA 63(1):43–50CrossRef Yang Y, Zhang T, Zhu DZ (2014) Influence of porous media on intrusion rate into water distribution pipes. J Water Supply: Res Technol - AQUA 63(1):43–50CrossRef
Metadaten
Titel
Local and Global Leak Laws
The Relationship Between Pressure and Leakage for a Single Leak and for a District with Leaks
verfasst von
Marco Ferrante
Silvia Meniconi
Bruno Brunone
Publikationsdatum
01.09.2014
Verlag
Springer Netherlands
Erschienen in
Water Resources Management / Ausgabe 11/2014
Print ISSN: 0920-4741
Elektronische ISSN: 1573-1650
DOI
https://doi.org/10.1007/s11269-014-0708-x

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