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Mathematical Problems in Engineering
Volume 2015 (2015), Article ID 350328, 9 pages
Research Article

A Novel Statistical Model for Water Age Estimation in Water Distribution Networks

College of Architecture and Civil Engineering, Zhejiang University, 866 Yuhantan Street, Hangzhou 310058, China

Received 3 May 2015; Revised 9 August 2015; Accepted 18 August 2015

Academic Editor: Jian Guo Zhou

Copyright © 2015 Wei-ping Cheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The water retention time in the water distribution network is an important indicator for water quality. The water age fluctuates with the system demand. The residual chlorine concentration varies with the water age. In general, the concentration of residual chlorine is linearly dependent on the water demand. A novel statistical model using monitoring data of residual chlorine to estimate the nodal water age in water distribution networks is put forward in the present paper. A simplified two-step procedure is proposed to solve this statistical model. It is verified by two virtual systems and a practical application to analyze the water distribution system of Hangzhou city, China. The results agree well with that from EPANET. The model provides a low-cost and reliable solution to evaluate the water retention time.