Optimization Model for Groundwater Management in Multi‐Aquifer Systems
Publication: Journal of Water Resources Planning and Management
Volume 113, Issue 2
Abstract
The use of embedding technique as a mechanism for coupling the simulation model of a particular groundwater system with an optimization model has been extended herein to multi‐aquifer systems. The combined management model is used to determine the optimal groundwater management schemes in a hypothetical multi‐aquifer system under transient and steady state conditions. The model enables the determination of optimal allocation of wells in different aquifers and their pumping rates to achieve a system‐wide maximum head distribution while satisfying the water production targets, well capacity restrictions, and lower bounds on hydraulic heads at critical points. Constraint and weighting methods of the multiobjective programming techniques are used to develop trade‐off curves relating the sum of hydraulic heads in the whole system as well as in individual aquifers at various water production targets. The generated trade‐off curves may enhance the decision maker's ability to select the best development policy from a set of alternative policies by considering other technological, financial, and legal constraints.
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References
1.
Aguado, E., and Remson, I. (1974). “Groundwater hydraulics in aquifer management.” J. Hydr. Div., ASCE, 100(1), 103–118.
2.
Aguado, E., and Remson, I. (1980). “Ground‐water management with fixed charges.” J. Water Resources Planning and Management Div., ASCE, 106(2), 375–382.
3.
Aguado, E., et al. (1974). “Optimal pumping for aquifer dewatering.” J. Hydr. Div., ASCE, 100(7), 869–877.
4.
Aguado, E., Sitar, N., and Remson, I. (1977). “Sensitivity analysis in aquifer studies.” Water Resources Research, 13(4), 733–737.
5.
Alley, W. M., Aguado, E., and Remson, I. (1976). “Aquifer management under transient and steady‐state conditions.” Water Resources Bulletin, 12(5), 963–972.
6.
Bear, J., Hydraulics of groundwater, McGraw‐Hill Book Co., Inc., New York, N.Y., 1979.
7.
Bredehoeft, J. D., and Pinder, G. F. (1970). “Digital analysis of areal flow in multiaquifer groundwater systems: a quasi three‐dimensional model,” Water Resources Research, 6(3), 883–888.
8.
Cohon, J. L., and Marks, D. H. (1975). “A review and evaluation of multiobjective programming techniques.” Water Resources Research, 11(2), 208–220.
9.
Danskin, W. R., and Gorelick, S. M. (1985). “A policy evaluation tool: management of a multiaquifer system using controlled stream recharge.” Water Resources Research, 21(11), 1731–1747.
10.
Dauer, J. P., Hullett, J. F., and Liu, Y.‐H. (1985). “A multi‐objective optimization model for aquifer management under transient and steady‐state conditions.” Applied Mathematical Modelling, 9, 21–26.
11.
Gorelick, S. M. (1983). “A review of distributed parameter groundwater management modelling methods.” Water Resources Research, 19(2), 305–319.
12.
McDonald, M. G., and Harbaugh, A. W. (1984). A modular three‐dimensional finitedifference ground‐water flow model, Scientific Publications Co., Washington, D.C.
13.
Marsten, R. E. (1980). “The design of the XMP linear programming library.” MIS Technical Report No. 80‐2, Dept. of Management Information Systems, Univ. of Arizona, Tucson, Ariz.
14.
Molz, F. J., and Bell, L. C. (1977). “Head gradient control in aquifers used for fluid storage.” Water Resources Research, 13(4), 795–798.
15.
Remson, I., and Gorelick, S. M. (1980). “Management models incorporating groundwater variables,” Operations Research in Agriculture and Water Resources, D. Yaron and C. S. Tapiero, Eds., North‐Holland, Amsterdam.
16.
Tung, Y.‐K., and Koltermann, C. E. (1985). “Some computational experiences using embedding technique for ground‐water management.” Ground Water, 23(4), 455–464.
17.
Willis, R., and Newman, B. A. (1977). “Management model for ground‐water development.” J. Water Resources Planning and Management Div., ASCE, 103(1), 159–171.
18.
Willis, R., and Liu, P. (1984). “Optimization model for ground‐water planning.” J. Water Resources Planning and Management Div., ASCE, 110(3), 333–347.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 113 • Issue 2 • March 1987
Pages: 257 - 273
Copyright
Copyright © 1987 ASCE.
History
Published online: Mar 1, 1987
Published in print: Mar 1987
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