Simulation/Optimization Modeling for Water Resources Management
Publication: Journal of Water Resources Planning and Management
Volume 125, Issue 3
Abstract
Many important advances have been made in the development of mathematical models for conjunctive water management and reservoir management. However, the conjunctive use models that have detailed stream/aquifer system interactions have not considered reservoir management rules. Conversely, reservoir management models have not simulated stream/aquifer interactions in detail. There is a need for enhanced linking of reservoir and stream/aquifer systems in conjunctive water management models. This paper presents a simulation/optimization model that integrates linear reservoir decision rules, detailed simulations of stream/aquifer system flows, conjunctive use of surface and ground water, and delivery via branching canals to water users. The linear decision rule is an example of a rule that has been widely discussed in reservoir operation literature and is simple to program. State variables, including aquifer hydraulic head, streamflow, and surface water/aquifer interflow, are represented through discretized convolution integrals and influence coefficients. Reservoir storage and branching canal flows and interflows are represented using embedded continuity equations. Results of model application to a hypothetical study area under several scenarios indicate that the more detail used to represent the physical system, the better the conjunctive management. The most detailed representation provides 13% more water than the least detailed system.
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References
1.
Danskin, W. R., and Gorelick, S. M. ( 1985). “A policy evaluation tool: Management of a multiaquifer system using controlled stream recharge.” Water Resour. Res., 21(11), 1731–1747.
2.
Dariane, A. B. ( 1989). “Operation of an irrigation reservoir by maximizing value of multiple crop yielding,” PhD dissertation, Dept. of Civ. and Envir. Engrg., Utah State University, Logan, Utah.
3.
Ejaz, S. M., and Peralta, R. C. ( 1985). “Maximizing conjunctive use of surface and ground water under surface water quality constraints.” Adv. in Water Resour., 18(2), 67–75.
4.
Gharbi, A., and Peralta, R. C. ( 1994). “Integrated embedding optimization applied to Salt Lake Valley aquifers.” Water Resour. Res., 30(3), 817–832.
5.
Houck, M. H., Cohon, J. L., and Revelle, C. ( 1980). “Linear decision rule in reservoir design and management. 6: Incorporation of economic efficiency benefits and hydroelectric energy generation.” Water Resour. Res., 16(1), 196–200.
6.
Hubert, P., and Tyteca, D. ( 1993). “Optimal management of a groundwater system for seasonally varying agricultural production.” Water Resour. Res., 29(7), 2415–2426.
7.
Illangasekare, T. H., and Morel-Seytoux, H. J. ( 1982). “Stream-aquifer influence coefficients as tools for simulation and management.” Water Resour. Res., 18(1), 168–176.
8.
Jenkins, C. T. ( 1968). “Techniques for computing rate and volume of stream depletion by wells.” Ground Water, 66(2), 37–46.
9.
Joeres, E. F., Seus, G. J., and Engelmann, H. M. ( 1981). “The linear decision rule (LDR) reservoir problem with correlated inflows. 1: Model development.” Water Resour. Res., 17(1), 18–24.
10.
Jones, L. C., Willis, R., and Yeh, W. W. ( 1987). “Optimal control of nonlinear groundwater hydraulics using differential dynamic programming.” Water Resour. Res., 23(11), 2097–2106.
11.
Loucks, D. P. ( 1970). “Some comments on linear decision rules and chance constraints.” Water Resour. Res., 6(2), 668–671.
12.
Loucks, D. P., and Dorfman, P. ( 1975). “An evaluation of some linear decision rules in chance constrained models for reservoir planning and operation.” Water Resour. Res., 11(6), 777–782.
13.
Loucks, D. P., Stedinger, J. R., and Haith, D. A. ( 1981). Water resource systems planning and analysis. Prentice-Hall, Englewood Cliffs, N.J.
14.
McDonald, M. G., and Harbaugh, A. W. ( 1988). “A modular three dimensional finite-difference ground-water flow model.” USGS Open File Report 83-875, U.S. Geological Survey, Washington, D.C.
15.
Morel-Seytoux, H. J., and Daly, C. J. ( 1975). “A discrete kernel generator for a stream-aquifer studies.” Water Resour. Res., 11(2), 253–260.
16.
Morel-Seytoux, H. J., Peters, G., Young, R., and Illangasekare, T. ( 1980). “Groundwater modeling for management.” Int. Symp. on Water Resour. Sys., Water Resource Division Training Center, University of Roorkee, Roorkee, India.
17.
Morel-Seytoux, H. J., Restrepo, J. I., and Rathnayake, R. M. D. ( 1985). “S.A.M.S.O.N.” Executive summary, description of SAMSON computer system, general flow chart, flow charts for twelve basic blocks and subroutine documentation.” Rep. No. 85.5, HYDROWAR Reports Div., Hydro. Days Publications, Dept. Civ. Engrg., Colorado State University, Fort Collins, Colo.
18.
Morel-Seytoux, H. J., and Zhang, C. M. ( 1990). “The dynamics and mathematics of stream-aquifer-well interactions.” Proc. 10th Annu. Amer. Geophys. Union, Colorado State Univ., Fort Collins, Colo.
19.
Mueller, F. A., and Male, J. W. ( 1993). “A management model for specification of groundwater withdrawal permits.” Water Resour. Res., 29(5), 1359–1368.
20.
Nyumbu, I. L. ( 1982). “System decomposition approach for design of conjunctive ground-surface water storage,” PhD dissertation, Colorado State Univ., Fort Collins, Colo.
21.
O'Mara, T. G., and Duloy, J. H. ( 1988). “Modeling efficient conjunctive use of water in the Indus Basin” Efficiency in irrigation, the conjunctive use of surface and groundwater resources, G. T. O'Mara, ed., World Bank, Washington, D.C., 128–138.
22.
Peralta, R. C., Gharbi, A., Willardson, L. S., and Peralta, A. W. ( 1990). “Optimal conjunctive use of ground and surface water.” Management of farm irrigation systems, G. G. Hoffman, T. A. Howell, and K. H. Solomon, eds., ASAE, St. Joseph, Mich., 427–458.
23.
Peralta, R. C., and Killian, P. J. ( 1985). “Optimal regional potentiometric surface design: Least cost water supply/sustained groundwater yield.” Trans. ASAE, 28(4), 1098–1107.
24.
Peralta, R. C., Kowalski, K., and Cantiller, R. R. A. ( 1988). “Maximizing reliable crop production in a dynamic stream/aquifer system.” Trans. ASAE, 31(6), 1729–1736.
25.
Prudic, D. E. ( 1989). “Documentation of a computer program to simulate stream-aquifer relations using a modular, finite-difference, groundwater flow model.” U.S. Geological Survey Open-File Rep. 88-729, U.S. Government Printing Office, Washington, D.C.
26.
Randall, D., Houcks, M. H., and Wright, J. R. (1990). “Drought management of existing water supply system.”J. Water Resour. Plng. and Mgmt., ASCE, 108(1).
27.
Reilly, T. E., Frank, O. L., and Bennett, G. D. ( 1987). “The principle of superposition and its application in ground-water hydraulics.” Techniques of water resources investigation of the United States Geological Survey, Chapter B6, U.S. Government Printing Office, Washington, D.C.
28.
Revelle, C., and Gundelach, J. ( 1975). “Linear decision rule in reservoir management and design. 4: A rule that minimizes output variance.” Water Resour. Res., 11(2), 197–203.
29.
Revelle, C., Joeres, E., and Kirby, W. ( 1969). “The linear decision rule in reservoir management and design. 1: Development of the stochastic model.” Water Resour. Res., 5(4), 767–777.
30.
Vedula, S., and Mujumdar, P. P. ( 1992). “Optimal reservoir operation for irrigation of multiple crops.” Water Resour. Res., 28(1), 1–9.
31.
Walker, W. R. ( 1990). “Integrating strategies for improving irrigation system design and management.” Water Mgmt. Synthesis II Proj. WMS Rep. 7, Utah State University, Logan, Utah.
32.
Willis, R., and Yeh, W. G. ( 1987). Groundwater system planning and management. Prentice-Hall, Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 125 • Issue 3 • May 1999
Pages: 154 - 161
History
Received: Feb 20, 1998
Published online: May 1, 1999
Published in print: May 1999
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