Management Model for Conjunctive Use of Coastal Surface Water and Ground Water
Publication: Journal of Water Resources Planning and Management
Volume 124, Issue 3
Abstract
A nonlinear multiobjective management model has been developed for managing water use within a coastal region. Two conflicting objectives are considered: cost-effective allocation of surface water and ground water supplies, and minimization of saltwater intrusion. Optimal control of the system is examined by studying the response of these objectives to changes in ground water pumping rates and transfer of surface water between sources and users. System constraints include economic, operational, and institutional requirements. The objectives, some of the constraints, and the ground water flow equations are formulated as nonlinear functions of the decision variables. The flow model simulates the flow of ground water using a quasi-three-dimensional finite-difference model based on the sharp interface assumption. The nonlinear optimization problem is solved with MINOS. The flow simulation and the optimization model are considered simultaneously by linking the simulation directly into the optimization procedure. The multiobjective aspect of the problem is solved using the constraint method. To test the methodology, a hypothetical case study based on the Waialae aquifer of Hawaii was developed and examined.
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References
1.
Andersen, P. F., Mercer, J. W., and White, H. O.(1988). “Numerical modeling of saltwater intrusion at Hallandale, Florida.”Ground Water, 26(5), 619–630.
2.
Ayers, J. F., and Vacher, H. L.(1983). “A numerical model describing unsteady flow in a fresh water lens.”Water Resour. Bull., 19(5), 785–792.
3.
Bear, J. (1979). Hydraulics of groundwater. McGraw-Hill, Inc., New York, N.Y.
4.
Bredehoeft, J. D., and Pinder, G. F.(1973). “Mass transport in flowing groundwater.”Water Resour. Res., 9(1), 194–210.
5.
Contractor, D. N.(1983). “Numerical modeling of saltwater intrusion in the northern Guam lens.”Water Resour. Bull., 19(5), 745–751.
6.
Essaid, H. I.(1986). “A comparison of the coupled freshwater-saltwater flow and the Ghyben-Herzberg sharp interface approaches to modeling of transient behavior in coastal aquifer systems.”J. Hydro., Amsterdam, The Netherlands, 86, 169–193.
7.
Essaid, H. I. (1990a). “The computer model SHARP, a quasi-three-dimensional finite-difference model to simulate freshwater and saltwater flow in layered coastal aquifer systems.”Rep. No. 90-4130, U.S. Geological Survey Water-Resour. Investigations.
8.
Essaid, H. I.(1990b). “A multilayered sharp interface model of coupled freshwater and saltwater flow in coastal systems: model development and applications.”Water Resour. Res., 26(7), 1431–1454.
9.
Eyre, P. R.(1985). “Simulation of ground-water flow in southeastern Oahu, Hawaii.”Ground Water, 23(3), 325–330.
10.
Finney, B. A., and Samsuhadi, and Willis(1992). “Quasi-three-dimensional optimization model of Jakarta Basin.”J. Water Resour. Plng. and Mgmt., ASCE, 118(1), 18–31.
11.
Gill, P. E., Murray, W., and Wright, M. H. (1981). Practical optimization. Academic Press, Inc., London, U.K.
12.
Glover, R. E.(1959). “The pattern of fresh-water flow in a coastal aquifer.”J. Geophys. Res., 64(4), 457–459.
13.
Gorelick, S. M.(1983). “A review of distributed parameter groundwater management modeling methods.”Water Resour. Res., 19(2), 305–319.
14.
Gorelick, S. M., Voss, C. I., Gill, P. E., Murray, W., Saunders, M. A., and Wright, M. H.(1984). “Aquifer reclamation design: the use of contaminant transport simulation combined with nonlinear programming.”Water Resour. Res., 20(4), 415–427.
15.
Henry, H. R.(1959). “Salt intrusion into fresh-water aquifers.”J. Geophys. Res., 64(11), 1911–1919.
16.
Louie, P. W. F., Yeh, W. W.-G., and Hsu, N.-S.(1984). “Multiobjective water resources management planning.”J. Water Resour. Plng. and Mgmt., ASCE, 110(1), 39–56.
17.
Murtagh, B. A., and Saunders, M. A. (1982). “A projected Lagrangian algorithm and its implementation for sparse nonlinear constraints.”Mathematical programming study 16, North-Holland Publishing Co., Amsterdam, The Netherlands.
18.
Murtagh, B. A., and Saunders, M. A. (1987). MINOS 5.1 user's guide. Tech. Rep. 83-20R, Systems Optimization Lab., Dept. of Operations Res., Stanford Univ., Stanford, Calif.
19.
Shamir, U., and Dagan, G.(1971). “Motion of the seawater interface in coastal aquifers: a numerical solution.”Water Resour. Res., 7(3), 644–657.
20.
Shamir, U., Bear, J., and Gamliel, A.(1984). “Optimal annual operation of a coastal aquifer.”Water Resour. Res., 20(4), 435–444.
21.
Souza, W. R., and Voss, C. I.(1987). “Analysis of an anisotropic coastal aquifer system using variable-density flow and solute transport simulation.”J. Hydro., Amsterdam, The Netherlands, 92, 17–41.
22.
Volker, R., and Rushton, K.(1982). “An assessment of the importance of some parameters for seawater intrusion in aquifers and a comparison of dispersive and sharp-interface modelling approaches.”J. Hydro., Amsterdam, The Netherlands, 56, 239–250.
23.
Willis, R., and Finney, B. A.(1985). “Optimal control of nonlinear groundwater hydraulics: theoretical development and numerical experiments.”Water Resour. Res., 21(10), 1476–1482.
24.
Willis, R., and Finney, B. A.(1988). “Planning model for optimal control of saltwater intrusion.”J. Water Resour. Plng. and Mgmt., ASCE, 114(2), 163–178.
25.
Willis, R., and Liu, P.(1984). “Optimization model for ground-water planning.”J. Water Resour. Plng. and Mgmt., ASCE, 110(3), 333–347.
26.
Willis, R., and Yeh, W. W-G. (1987). Groundwater systems planning and management. Prentice-Hall, Inc., Englewood Cliffs, N.J.
27.
Wilson, J., and Sa da Costa, A.(1982). “Finite element simulation of a saltwater/freshwater interface with indirect toe tracking.”Water Resour. Res., 18(4), 1069–1080.
28.
Yeh, W. W-G., Becker, L., Liang, W.-K., Sun, N.-Z., Davert, M. W., and Jeng, M.-C. (1992). “Development of a multi-objective optimization model for water quality management planning in the upper Santa Ana basin.” Santa Ana Watershed Project Authority Rep., Dept. of Civ. and Envir. Engrg., UCLA, Los Angeles, Calif.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 124 • Issue 3 • May 1998
Pages: 129 - 139
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: May 1, 1998
Published in print: May 1998
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