Derived Operating Rules for Allocating Recharges and Withdrawals among Unconnected Aquifers
Publication: Journal of Water Resources Planning and Management
Volume 132, Issue 1
Abstract
Six balancing rules are derived to inform short-term drawdown and recharge of water in multiple, unconnected aquifers. Management objectives are: (1) minimizing costs; (2) maximizing duration of operation; and (3) maximizing accessibility as a tradeoff between maximizing instantaneous withdrawal rate and the duration to sustain withdrawals. Engineering optimization formulations use either a specified target delivery rate (for withdrawals) or available surface water supply (to recharge). Aquifers are modeled as separate, single-celled basins with lumped parameters representing key physical, institutional, and financial characteristics. Each formulation is solved analytically for the case where constraints are nonbinding. Solutions are explained as operating rules. Two examples confirm the analytical solutions. The results show how cost characteristics, fraction of recharged water available for withdrawal (fractional recovery), initial storage, maximum recharge and pumping rates, and uncertainties regarding the future availability of water for extraction influence recharge and withdrawal decisions.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
Tim Blair introduced the aquifer recharge problem. The writers also thank Richard Howitt and Beth Faber for their comments and suggestions.
References
Bower, B., Hufschmidt, M. M., and Reedy, W. W. (1966). “Operation procedures: Their role in the design of water-resource systems by simulation analysis.” Design of water resource systems, Harvard University Press, Cambridge, Mass., 443–458.
Knapp, K. C., and Olson, L. J. (1995). “The economics of conjunctive groundwater-management with stochastic surface supplies.” J. Environmental Economics and Management, 28(3), 340–356.
Lund, J. R., and Guzman, J. (1999). “Derived operating rules for reservoirs in series or in parallel.” J. Water Resour. Plan. Manage., 125(3), 143–153.
Maddock, T. (1974). “The operation of a stream-aquifer system under stochastic demands.” Water Resour. Res., 10(1), 1–10.
Philbrick, C. R., and Kitanidis, P. K. (1998). “Optimal conjunctive-use operations and plans.” Water Resour. Res., 34(5), 1307–1316.
Provencher, B., and Burt, O. (1994). “Approximating the optimal groundwater pumping policy in a multiaquifer stochastic conjunctive use setting.” Water Resour. Res., 30(3), 833–843.
Pulido-Velázquez, M., Jenkins, M. W., and Lund, J. R. (2004). “Economic values for conjunctive use and water banking in Southern California.” Water Resour. Res., 40(3), W03401.
Reichard, E. G. (1995). “Groundwater-surface water management with stochastic surface-water supplies—a simulation optimization approach.” Water Resour. Res., 31(11), 2845–2865.
Rosenberg, D. (2003). “Derived operating rules for storage and recovery in multiple, unconnected aquifers.” MSc thesis, Univ. of California, Davis, Calif.
Sand, G. M. (1984). “An analytical investigation of operating policies for water-supply reservoirs in parallel.” PhD thesis, Cornell Univ., Ithaca, N.Y.
Tung, Y. K. (1986). “Groundwater management by chance-constrained model.” J. Water Resour. Plan. Manage., 112(1), 1–19.
Wagner, H. M. (1969). Principles of operations research with application to managerial decisions, Prentice-Hall, Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Copyright
© 2006 ASCE.
History
Received: Oct 11, 2004
Accepted: May 26, 2005
Published online: Jan 1, 2006
Published in print: Jan 2006
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.