Cross Correlation of Demands in Water Distribution Network Design
Publication: Journal of Water Resources Planning and Management
Volume 133, Issue 2
Abstract
The aim of water distribution design is to size and configure a system so that it meets existing and future demands while providing pressures above a minimum level for service and fire protection. Extended period simulation (EPS) is used in design to determine network pressures under varied diurnal demand patterns. In EPS, diurnal demands are almost invariably assumed to change in unison, or in statistical terms, to be strongly correlated in space. This paper first tests this common assumption by investigating the extent to which cross correlation in demand affects the mean and standard deviation of pressure heads in water networks, and then investigates how cross correlated demands can influence capital costs in network design. Preliminary findings from two examples indicate that the standard deviation of pressure head and capital costs can be sensitive to the level of cross correlation between nodal demands. Thus a realistic assessment of cross correlation in demand can lead to a more economical design.
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Acknowledgments
The writers wish to thank the Natural Science and Engineering Research Council, Public Safety and Emergency Preparedness Canada, and the Canadian Water Network for their financial support of this research.
References
Alperovitz, E., and Shamir, U. (1977). “Design of optimal water distribution systems.” Water Resour. Res., 13(6), 885–900.
Babayan, A. V., Savic, D. A., and Walters, G. A. (2005). “Multiobjective optimization for the least-cost design of water distribution system under correlated uncertain parameters.” Proc., EWRI 2005: Impacts of Global Climate Change, ASCE, Reston, Va.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics, and decision for civil engineers, McGraw-Hill, New York.
Billings, R. B., and Jones, C. V. (1996). “Forecasting urban water demand.” AWWA, Denver.
Boulos, P. F., Lansey, K. E., and Karney, B. W. (2004). Comprehensive water distribution systems analysis handbook for engineers and planners, MWH Soft, Pasadena, Calif.
Fiering, M. (1964). “Multivariate technique for synthetic hydrology.” J. Hydr. Div., 90(5), 43–60.
Flack, J. E. (1982). Urban water conservation: Increasing efficiency-in-use residential water demand, ASCE, New York.
Hahn, G. J., and Shapiro, S. S. (1967). Statistical models in engineering, Wiley, New York.
Kapelan, Z., Babayan, A. V., Walters, G. A., and Khu, S. T. (2004). “Two new approaches for the stochastic least cost design of water distribution systems.” Water Sci. Technol., 4(5–6), 355–363.
Kapelan, Z., Savic, D. A., Savic, A., and Walters, G. A. (2005). “An efficient sampling-based approach for the robust rehabilitation of water distribution systems under correlated nodal demands.” Proc., EWRI 2005: Impacts of Global Climate Change, ASCE, Reston, Va.
Lansey, K. E., Duan, N., Mays, L. W., and Tung, Y. (1989). “Water distribution system design under uncertainties.” J. Water Resour. Plann. Manage., 115(5), 630–645.
Milton, J. S., and Arnold, J. C. (1995). Introduction to probability and statistics, McGraw-Hill, New York.
Raftelis Financial Consultants, Maddaus Water Management, Weber Group. (2000). Town of Cary water conservation and peak demand management plan, Charlotte, N.C.
Rossman, L. A. (2000). EPANET 2: Users' manual, U.S. EPA National Risk Management Research Laboratory, Cincinnati.
Tolson, B. A., Maier, H. R., Simpson, A. R., and Lence, B. J. (2004). “Genetic algorithms for reliability-based optimization of water distribution systems.” J. Water Resour. Plann. Manage., 130(1), 63–72.
Walski, T. M., Chase, D. V., Savic, D. A., Grayman, W. M., Beckwith, S., and Koelle, E. (2003). Advanced water distribution modeling and management, Haestad Methods, Waterbury, Conn.
Xu, C., and Goulter, I. C. (1999). “Reliability-based optimal design of water distribution networks.” J. Water Resour. Plann. Manage., 125(6), 352–362.
Young, G. K. (1968). “Discussion of ‘Mathematical assessment of synthetic hydrology’.” Water Resour. Res., 4(3), 681–683.
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© 2007 ASCE.
History
Received: May 7, 2004
Accepted: Nov 14, 2005
Published online: Mar 1, 2007
Published in print: Mar 2007
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