Document Type : Research Paper

Authors

1 Department of Civil Engineering, Faculty of Engineering, Razi University, Kermanshah, Iran.

2 Department of Water Engineering, Faculty of Agricultural Science and Engineering, Razi University, Kermanshah, Iran.

10.22126/arww.2023.9131.1290

Abstract

In the operation of water distribution networks in cities, leakage from pipes always causes problems for human health and for the environment. Leakage openings in pipes may exist in different shapes. Circular holes are common in corroded and punched pipes. In the leakage studies, the area of these openings is usually assumed to be fixed and the leakage exponent is about 0.5. In this study, an analytical equation has been presented with two purposes. First, Examining the changes in the leak area and leakage exponent of circular holes. Second, providing an equation that contains more parameters than the general leakage equations. By using such an equation, the accuracy of leakage estimation is increased due to the direct involvement of the effective parameters. Also, for the possibility of modeling different leakage equations, including the present equation, a new hydraulic analysis model has been developed. This model tries to improve leakage modeling by including more capabilities than the existing hydraulic analysis models. Results showed that the leak area in circular holes is not fixed and changes due to different parameters. Comparison of the present equation and the orifice equation showed a significant difference which confirms that the orifice equation cannot be always used for circular leaks. In the study of leakage exponent, it was found that for polyethylene pipes, the leakage exponent is higher than value of 0.5 mentioned in the other studies and it can take different values depending on the leakage position in the network. Increasing the hole diameter did not affect the leakage exponent, but increased the leakage coefficient. On the other hand, for steel pipes, the leakage coefficient was fixed and the exponent remained around 0.5. Finally, the results showed the usefulness of the developed hydraulic analysis model for implementing the scenarios defined in this study.

Keywords

Al-Ghamdi, A.S. (2011) 'Leakage–pressure relationship and leakage detection in intermittent water distribution systems', Journal of Water Supply: Research and Technology—AQUA, 60(3), pp.178-183. doi: https://doi.org/10.2166/aqua.2011.003
Berardi, L., Laucelli, D.B., Simone, A., Mazzolani, G. and Giustolisi, O. (2016) 'Active leakage control with WDNetXL', Procedia Engineering, 154, pp. 62-70. doi: https://doi.org/https://doi.org/10.1016/j.proeng.2016.07.420
Blocher, C., Pecci, F. and Stoianov, I. (2020) 'Localizing leakage hotspots in water distribution networks via the regularization of an inverse problem', Journal of Hydraulic Engineering, 146(4), p.04020025. doi: https://doi.org/10.1061/(ASCE)HY.1943-7900.0001721
Cassa, A.M. and Van Zyl, J.E. (2008). 'A numerical investigation into the behaviour of cracks in uPVC pipes under pressure', In Water Distribution Systems Analysis 2008, pp.1-8. doi: https://doi.org/10.1061/41024(340)65
Cassa, A.M. and Van Zyl, J.E. (2013) 'Predicting the head-leakage slope of cracks in pipes subject to elastic deformations', Journal of Water Supply: Research and Technology—AQUA, 62(4), pp.214-223. doi: https://doi.org/10.2166/aqua.2013.094
Cassa, A.M., Van Zyl, J.E. and Laubscher, R.F. (2006) 'A numerical investigation into the behaviour of leak openings in uPVC pipes under pressure', In WISA2006 the Water Institute of Southern Africa Biennial Conference and Exhibition, South Africa.
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 Journal, 7(2), pp.109-120. doi: https://doi.org/10.1080/15730620903447613
Dai, P.D. (2021) 'A new mathematical program with complementarity constraints for optimal localization of pressure reducing valves in water distribution systems', Applied Water Science, 11(9), pp.152.: doi: https://doi.org/10.1007/s13201-021-01480-8
De Marchis, M. and Milici, B. (2019) 'Leakage estimation in water distribution network: effect of the shape and size cracks', Water Resources Management, 33(3), pp.1167-1183. doi: https://doi.org/10.1007/s11269-018-2173-4
De Marchis, M. et al. (2016). 'Experimental evidence of leaks in elastic pipes', Water Resources Management, 30, pp.2005-2019. doi: https://doi.org/10.1007/s11269-016-1265-2
Ferrante, M. (2012) 'Experimental investigation of the effects of pipe material on the leak head-discharge relationship', Journal of Hydraulic Engineering, 138(8), pp.736-743. doi: https://doi.org/10.1061/(ASCE)HY.1943-7900.0000578
Germanopoulos, G. (1985.) 'A technical note on the inclusion of pressure dependent demand and leakage terms in water supply network models', Civil Engineering Systems, 2(3), pp.171-179. doi: https://doi.org/10.1080/02630258508970401
Giustolisi, O., Savic, D. and Kapelan, Z. (2008) 'Pressure-driven demand and leakage simulation for water distribution networks', Journal of Hydraulic Engineering, 134(5), pp. 626-635. doi: https://doi.org/10.1061/(ASCE)0733-9429(2008)134:5(626)
Greyvenstein, B. and Van Zyl, J.E. (2007), 'An experimental investigation into the pressure-leakage relationship of some failed water pipes', Journal of Water Supply: Research and Technology—AQUA, 56(2), pp. 117-124. doi: https://doi.org/10.2166/aqua.2007.065
Li, Y., Gao, J., Shen, C., Guan, Y. and Wang, W. (2022) 'Estimation of leak area-pressure relationship for cracks on water pipes using models based on linear-elastic fracture mechanics', Water Research, 221, p.118692. doi: https://doi.org/10.1016/j.watres.2022.118692
Moasheri, R. and Jalili-Ghazizadeh, M. (2020) 'Locating of probabilistic leakage areas in water distribution networks by a calibration method using the imperialist competitive algorithm', Water Resources Management, 34, pp. 35-49. doi: https://doi.org/10.1007/s11269-019-02388-4
Momeni, A., Piratla, K.R. and Chalil Madathil, K. (2022) 'Application of neural network–based modeling for leak localization in water mains', Journal of Pipeline Systems Engineering and Practice, 13(4), p.04022032. doi: https://doi.org/10.1061/(ASCE)PS.1949-1204.0000674
Pardo, M. and Riquelme, A. (2019) 'A software for considering leakage in water pressurized networks', Computer Applications in Engineering Education, 27(3), pp. 708-720. https://doi.org/10.1002/cae.22110
Poojitha, S.N. and Jothiprakash, V. (2022) 'Application of Fine-Tuned Krill Herd Algorithm in Design of Water Distribution Networks', Journal of Pipeline Systems Engineering and Practice, 13(4), p.04022044. doi: https://doi.org/10.1061/(ASCE)PS.1949-1204.0000684
Poulakis, Z., Valougeorgis, D. and Papadimitriou, C. (2003) 'Leakage detection in water pipe networks using a Bayesian probabilistic framework', Probabilistic Engineering Mechanics, 18(4), pp. 315-327. doi: https://doi.org/10.1016/S0266-8920(03)00045-6
Price, E. and Ostfeld, A. (2022) 'A graph theory-based layout algorithm for PRVs placement and setpoint determination in water distribution systems', Journal of Water Resources Planning and Management, 148(4), p.04022005. doi: https://doi.org/10.1061/(ASCE)WR.1943-5452.0001529
Qiu, M., Housh, M. and Ostfeld, A. (2021) 'Analytical optimization approach for simultaneous design and operation of water distribution–systems optimization', Journal of Water Resources Planning and Management, 147(3), p.06020014. doi: https://doi.org/10.1061/(ASCE)WR.1943-5452.0001330
Rossman, L.A. (2000) 'EPANET 2: Users Manual', Cincinnati: U.S. Environmental Protection Agency.
Van Zyl J. E., and Clayton C. R. I. (2007). The Effect of Pressure on Leakage in Water Distribution Systems, In Proceedings of the Institution of Civil Engineers-Water Management, 160, 109–114. doi: https://doi.org/10.1680/wama.2007.160.2.109
Van Zyl, J.E., Lambert, A.O. and Collins, R. (2017) 'Realistic modeling of leakage and intrusion flows through leak openings in pipes', Journal of Hydraulic Engineering, 143(9), p.04017030. doi: https://doi.org/10.1061/(ASCE)HY.1943-7900.0001346
Wagner, J.M., Shamir, U. and Marks, D.H. (1988) 'Water distribution reliability: simulation methods', Journal of water resources planning and management, 114(3), pp. 276-294. doi: https://doi.org/10.1061/(ASCE)0733-9496(1988)114:3(276)
Wu, J., Ma, D. and Wang, W. (2022) 'Leakage identification in water distribution networks based on XGBoost algorithm', Journal of Water Resources Planning and Management, 148(3), p.04021107. doi: https://doi.org/10.1061/(ASCE)WR.1943-5452.0001523
Zarei, N., Azari, A. and Heidari, M.M. (2022) 'Improvement of the performance of NSGA-II and MOPSO algorithms in multi-objective optimization of urban water distribution networks based on modification of decision space', Applied Water Science, 12(6), p.133. doi: https://doi.org/10.1007/s13201-022-01610-w