Leakage as Pressure-Driven Demand in Design of Water Distribution Networks
Publication: Journal of Water Resources Planning and Management
Volume 142, Issue 6
Abstract
The loss of some amount of water through leaks is inevitable in a water distribution network (WDN). Usually, leakage losses are included as volume-based demands by increasing the nodal demands by a certain percentage in the design of WDNs. However, leaks are pressure dependent and increase with an increase in pressure in the pipeline. In this study, a methodology is proposed to include leakage as pressure-driven demands along with normal volume-based demands and both volume and pressure-based demands. Two cases for distribution of leakage in the network are considered during the design: (1) leakages that are distributed based on nodal demands, (2) those that are distributed based on the length of pipe. An iterative optimization methodology is proposed that considers the link diameters as continuous variables. It begins by assuming the nodal heads at all of the demand nodes are above the desired pressure heads. These assumed heads are successively corrected until the difference in cost in the two successive iterations is found to be negligible. The versatility of the methodology is shown by its application on various types of networks. The incorporation of pressure-driven leakage in the design process can be shown to generate optimal solutions that require incrementally larger diameters. However, when pressure-based demands are also considered with pressure-driven leakage, the increase in diameters is substantial.
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References
Ainola, L., Koppel, T., Tiiter, T., and Vassiljev, A. (2000). “Water network model calibration based on grouping pipes with similar leakage and roughness estimates.” Proc., Building Partnerships, ASCE, Reston, VA, 1–9.
Araujo, L. S., Ramos, H., and Coelho, S. T. (2006). “Pressure control for leakage minimization in water distribution systems management.” J. Water Resour. Plan. Manage., 20(1), 133–149.
Baghdadi, A. H. A., and Mansy, H. A. (1988). “A mathematical model for leak detection in pipelines.” Appl. Math. Model., 12(1), 25–30.
Bhave, P. R. (1977). “Optimality criteria for distribution networks.” Indian J. Environ. Health., 19(2), 120–139.
Bhave, P. R. (1978). “Non computer optimization of single source networks.” J. Environ. Eng., 104(4), 799–814.
Bhave, P. R. (1985). “Optimal expansion of water distribution systems.” J. Environ. Eng., 177–197.
Bhave, P. R. (2003). Optimal design of water distribution networks, Alpha Science International, Pangbourne, U.K.
Campisano, A., Creaco, E., and Modica, C. (2010). “RTC of valves for leakage reduction in water supply networks.” J. Water Resour. Plan. Manage., 138–141.
Cassa, A. M., and van Zyl, R. (2014). “Predicting the leakage exponents of elastically deforming cracks in pipes.” Procedia Eng., 70(2014), 302–310.
Cassa, A. M., van Zyl, R., and Laubscher, A. (2010). “A numerical investigation into the effect of pressure on holes and cracks in water supply pipes.” Urban Water J., 7(2), 109–120.
Ciaponi, C., Franchioli, L., Murari, E., and Papiri, S. (2015). “Procedure for defining a pressure-outflow relationship regarding indoor demands in pressure-driven analysis of water distribution networks.” Water Resour. Manage., 29(3), 817–832.
Colombo, A. F., and Karney, B. W. (2009). “Leaks and water use representation in water distribution models: Finding a working equivalence.” J. Hydraul. Eng., 234–239.
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.
Creaco, E., Alvisi, S., and Franchini, M. (2014). “A multi-step approach for optimal design and management of C-Town pipe network model.” Procedia Eng., 89(2014), 37–44.
Creaco, E., Alvisi, S., and Franchini, M. (2015). “Multistep approach for optimizing design and operation of C-Town pipe network model.” J. Water Resour. Plan. Manage., C4015005.
Cross, H. (1936). “Analysis of flow in networks of conduits and conductors.”, Engineering Experiment Station, Univ. of Illinois, Urbana, IL.
Eck, B. J., Arandia, E., Naoum-Sawaya, J., and Wirth, F. (2014). “A simulation-optimization approach for reducing background leakage in water systems.” Procedia Eng., 89(2014), 59–68.
Germanopoulos, G. (1985). “A technical note on the inclusion of pressure dependent demand and leakage terms in water supply network models.” Civ. Eng. Syst., 2(3), 171–179.
Germanopoulos, G., and Jowitt, P. W. (1989). “Leakage reduction by excess pressure minimization in a water supply network.” Inst. Civ. Eng. Proc., 87(2), 195–214.
Giustolisi, O. (2010). “Considering actual pipe connections in WDN analysis.” J. Hydraul. Eng., 889–900.
Giustolisi, O., Berardi, L., Laucelli, D., Savic, D., and Kapelan, Z. (2015). “Operational and tactical management of water and energy resources in pressurized systems: Competition at WDSA 2014.” J. Water Resour. Plann. Manage., C4015002.
Giustolisi, O., and Laucelli, D. (2011). “Water distribution network pressure-driven analysis using the enhanced global gradient algorithm.” J. Water Resour. Plan. Manage., 498–510.
Giustolisi, O., Savic, D., and Kapelan, Z. (2008). “Pressure-driven demand and leakage simulation for water distribution networks.” J. Hydraul. Eng., 626–635.
Giustolisi, O., and Todini, E. (2009). “Pipe hydraulic resistance correction in WDN analysis.” Urban Water J., 6(1), 39–52.
Giustolisi, O., and Walski, T. M. (2012). “Demand components in water distribution network analysis.” J. Water Resour. Plann. Manage., 356–367.
Gupta, R., and Bhave, P. R. (1996). “Comparison of methods for predicting deficient network performance.” J. Water Resour. Plann. Manage., 214–217.
Gupta, R., Kakwani, N., and Ormsbee, L. (2015). “Optimal upgrading of water distribution network redundancy.” J. Water Resour. Plann. Manage., 04014043.
Gupta, R., Sawarkar, V. R., and Bhave, P. R. (2003). “Application of Newton-Raphson method in optimal design of water distribution networks.” J. Indian Water Works Assoc., 34(1), 31–37.
Khulief, Y. A., Khalifa, A., Ben Mansour, R., and Habib, M. A. (2012). “Acoustic detection of leaks in water pipelines using measurements inside pipe.” J. Pipeline Syst. Eng. Pract., 47–54.
Lambert, A. O. (2002). “International report: Water losses management and techniques.” Water Sci. Technol.: Water Suppl., 2(4), 1–20.
Mallick, K. N., Ahmed, I., Tickle, K. S., and Lansey, K. E. (2002). “Determining pipe groupings for water distribution networks.” J. Water Resour. Plan. Manage., 130–139.
Mohapatra, S., Sargaonkar, A., and Labhasetwar, P. K. (2014). “Distribution network assessment using EPANET for intermittent and continuous water supply.” Water Resour. Manage., 28(11), 3745–3759.
Obradovic, D. (2000). “Modeling of demand and losses in real-life water distribution systems.” Urban Water, 2(2), 131–139.
Ormsbee, L. E. (1985). “OPNET—A nonlinear design algorithm for hydraulic networks.” Proc., Computer Applications in Water Resources, ASCE, Reston, VA, 739–748.
Paez, D., Hernandez, D., and Saldarriaga, J. (2013). “Optimal design of pipes in series with pressure driven demands.” World Environment and Water Resources Congress 2013, ASCE, Reston, VA, 857–868.
Paez, D., Saldarriaga, J., Lopez, L., and Salcedo, C. (2014). “Optimal design of water distribution systems with pressure driven demands.” Procedia Eng., 89(2014), 839–847.
Price, E., and Ostfeld, A. (2014). “Battle of background leakage assessment for water networks using successive linear programming.” Procedia Eng., 89(2014), 45–52.
Reis, L. F. R., Porto, R. M., and Chaudhry, F. H. (1997). “Optimal location of control valves in pipe networks by genetic algorithm.” J. Water Resour. Plan. Manage., 317–326.
Roshani, E., and Filion, Y. (2014). “WDS leakage management through pressure control and pipes rehabilitation using an optimization approach.” Procedia Eng., 89(2014), 21–28.
Shafiee, M., Berglund, A., Berglund, E., Brill, E., Jr., and Mahinthakumar, G. (2015). “Parallel evolutionary algorithm for designing water distribution networks to minimize background leakage.” J. Water Resour. Plann. Manage., C4015007.
Silva, R. A., Buiatti, C. M., Cruz, S. L., and Pereira, J. (1996). “Pressure wave behavior and leak detection in pipelines.” Comp. Chem. Eng., 20(1), S491–S496.
Sterling, M., and Bargiela, A. (1984). “Leakage reduction by optimized control of valves in water networks.” Trans. Inst. Measure. Control., 6(6), 293–298.
Tanyiboh, T. T., and Tabesh, M. (1997). “Discussion of ‘Comparison of methods for predicting deficient network performance.’ by R. Gupta, and P. R. Bhave.” J. Water Resour. Plann. Manage., 369–370.
Tucciarelli, T., Criminisi, A., and Termini, D. (1999). “Leak analysis in pipeline systems by means of optimal valve regulation.” J. Hydraul. Eng., 277–285.
Vairavamoorthy, K., and Lumbers, J. (1998). “Leakage reduction in water distribution systems: Optimal valve control.” J. Hydraul. Eng., 1146–1154.
van Zyl, J., and Cassa, A. (2014). “Modeling elastically deforming leaks in water distribution pipes.” J. Hydraul. Eng., 182–189.
van Zyl, R. (2014). “Theoretical modeling of pressure and leakage in water distribution systems.” Procedia Eng., 89(2014), 273–277.
Vitkovsky, J. P., Simpson, A. R., and Lambert, M. F. (2000). “Leak detection and calibration using transient and genetic algorithms.” J. Water Resour. Plan. Manage., 262–265.
Wagner, J. M., Shamir, U., and Marks, D. H. (1988). “Water distribution reliability: Simulation method.” J. Water Resour. Plann. Manage., 276–294.
Wu, Z. Y., Sage, P., and Turtle, D. (2010). “Pressure-dependent leak detection model and its application to a district water system.” J. Water Resour. Plan. Manage., 116–128.
Wu, Z. Y., Wang, R. H., Walski, T. M., Yang, S. Y., Bowdler, D., and Baggett, C. C. (2009). “Extended global-gradient algorithm for pressure-dependent water distribution analysis.” J. Water Resour. Plan. Manage., 13–22.
Xu, C., and Jowitt, P. W. (1990). “Optimal valve control in water-distribution networks.” J. Water Resour. Plan. Manage., 455–472.
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Published In
Journal of Water Resources Planning and Management
Volume 142 • Issue 6 • June 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jun 20, 2015
Accepted: Oct 29, 2015
Published online: Jan 12, 2016
Published in print: Jun 1, 2016
Discussion open until: Jun 12, 2016
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