Flood Storage Allocation Rules for Parallel Reservoirs
Publication: Journal of Water Resources Planning and Management
Volume 141, Issue 5
Abstract
Optimal operating policies have been derived for reservoirs in series and in parallel for various purposes, but little formal analysis has been done for flood operation of parallel reservoirs. For flood management, parallel reservoir releases should be managed together to reduce downstream peak flow and minimize flood damage. The optimal allocation of total available flood storage capacity among parallel reservoirs should have each reservoir’s flood storage allocation providing the same incremental reduction to downstream flood flows. This approach is developed mathematically and applied for deterministic and probabilistic inflows. The applicability and effectiveness of these derived flood storage allocation rules are demonstrated by the case study of Oroville Reservoir and New Bullards Bar Reservoir in California’s Sacramento River Basin with a single historical 1997 flood and an uncertain storm.
Get full access to this article
View all available purchase options and get full access to this article.
References
Apel, H., Aronica, G. T., Kreibich, H., and Thieken, A. H. (2009). “Flood risk analyses—How detailed do we need to be?” Nat. Hazards, 49(1), 79–98.
Arrow, K. J., and Lind, R. C. (1970). “Uncertainty and the evaluation of public investment decisions.” Am. Econ. Rev., 60(3), 364–378.
Boettle, M., Kropp, J. P., Reiber, L., Roithmeier, O., Rybski, D., and Walther, C. (2011). “About the influence of elevation model quality and small-scale damage functions on flood damage estimation.” Nat. Hazards Earth Syst. Sci., 11(12), 3327–3334.
Büchele, B., et al. (2006). “Flood-risk mapping: contributions towards an enhanced assessment of extreme events and associated risks.” Nat. Hazards Earth Syst. Sci., 6(4), 485–503.
Change, L. C. (2008). “Guiding rational reservoir flood operation using penalty-type genetic algorithm.” J. Hydrol., 354(1–4), 65–74.
Cleveland, T. G., Thompson, D. B., and Fang, X. (2011). “Use of the rational and modified rational method for hydraulic design.”, Texas Dept. of Transportation, U.S. Dept. of Transportation Federal Highway Administration.
Dhakal, N., Fang, X., Thompson, D. B., and Cleveland, T. G. (2014). “Modified rational unit hydrograph method and applications.” Proc. ICE–Water Manage., 167(7), 381–393.
Dutta, D., Herath, S., and Musiake, K. (2003). “A mathematical model for flood loss estimation.” J. Hydrol., 277(1–2), 24–49.
England, J. F. Jr. (2003). “Probabilistic extreme flood hydrographs that use paleoflood data for dam safety applications.”, Dept. of the Interior, Bureau of Reclamation, Denver, CO.
Jain, S. K., Yoganarasimhan, G. N., and Seth, S. M. (1992). “A risk-based approach for flood-control operation of a multipurpose reservoir.” Water Resour. Bull., 28(6), 1037–1043.
Kumar, D. N., Baliarsingh, F., and Raju, K. S. (2010). “Optimal reservoir operation for flood control using folded dynamic programming.” Water Resour. Manage., 24(6), 1045–1064.
Labadie, J. W. (2004). “Optimal operation of multireservoir systems: State-of-the-art review.” J. Water Resour. Plann. Manage., 93–111.
Lund, J. R., and Guzman, J. (1999). “Derived operating rules for reservoirs in series or in parallel.” J. Water Resour. Plann. Manage., 143–153.
Merz, B., Kreibich, H., Schwarze, R., and Thieken, A. (2010). “Review article ‘Assessment of economic flood damage’.” Nat. Hazards Earth Syst. Sci., 10(8), 1697–1724.
Messner, F., Penning-Rowsell, E., Green, C., Meyer, V., Tunstall, S., and van der Veen, A. (2007). “Evaluating flood damages: Guidance and recommendations on principles and methods.”, Helmholz Unweltforschungszentrum (UFZ), 176.
Nascimento, N., Machado, M. L., Baptista, M., and Silva, A. D. P. E. (2007). “The assessment of damage caused by floods in the Brazilian context.” Urban Water J., 4(3), 195–210.
Parker, D. J. (1992). “The assessment of the economic and social impacts of natural hazards.” Proc., Int. Conf. on Preparedness and Mitigation for Natural Disasters, Association of Chartered Engineers in Iceland, Reykjavik, Iceland, 240–248.
Roos, M. (1997). “The Great New Year's Flood of 1997 in Northern California.” CA Dept. of Water Resources, Sierra College California Weather Symp., Sierra College Science Center, Floodplain Management Association, Rocklin, CA.
Shrestha, B. P., Duckstein, L., and Stakhiv, E. Z. (1996). “Fuzzy rule-based modeling of reservoir operation.” J. Water Resour. Plann. Manage., 262–269.
United States Army Corps of Engineers (USACE). (1970). “Oroville dam and reservoir: Report on reservoir regulation for flood control.” Sacramento, CA.
United States Army Corps of Engineers (USACE). (1972). “New Bullards bar reservoir: Reservoir regulation for flood control.” Sacramento, CA.
United States Army Corps of Engineers (USACE). (1993). “Hydrologic frequency analysis.”, Dept. of the Army, U.S. Army Corps of Engineers, Washington, DC.
United States Army Corps of Engineers (USACE). (1997). “Hydrologic engineering requirements for reservoirs.”, Dept. of the Army, U.S. Army Corps of Engineers, Washington, DC.
United States Army Corps of Engineers (USACE). (2013). “Sutter basin pilot feasibility final report—Final environmental impact report/supplemental environmental impact statement.” Sacramento, CA.
Wang, Y. C., Yoshitani, J., and Fukami, K. (2005). “Stochastic multiobjective optimization of reservoirs in parallel.” Hydrol. Processes, 19(18), 3551–3567.
Yazdi, J., and Neyshabouri, S. A. A. S. (2012). “Optimal design of flood-control multi-reservoir system on a watershed scale.” Natural Hazards, 63(2), 629–646.
Yeh, W. W.-G. (1985). “Reservoir management and operations models: A state-of-the-art review.” Water Resour. Res., 21(12), 1797–1818.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 141 • Issue 5 • May 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Jan 12, 2014
Accepted: Jun 16, 2014
Published online: Aug 1, 2014
Discussion open until: Jan 1, 2015
Published in print: May 1, 2015
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.