Abstract
The need for rational and overall water resources management has become, during the past decades, a problem ofmajor importance due to the rising water demands. In this paper atechnique is presented through which a management model that combines the useof two separate models, a flow simulation and an optimisation one, isused for groundwater management. The necessary stages for the formulationand the combined use of the two models, along with a number of problemsthat might arise during the development of the management model are alsopresented. This technique is applied to a large-scale case study problemthat forms an optimisation approach with a large number of non-linear decisionvariables. The results of the application of the management modeldemonstrate the importance of the use of such models both in managing rationallyavailable water resources and in reducing the operational cost of theirexploitation.
Similar content being viewed by others
References
Bear, J.: 1979, Hydraulics of Groundwater, McGraw-Hill, New York.
Esposito, W. R. and Floudas, C. A.: 2000, 'Deterministic global optimization in nonlinear optimal control problems', J. Global Optimizat. 17, 97-126.
Finley, J. R., Pinter, J. D. and Satish, M. G.: 1998, 'Automatic model calibration applying global optimization techniques', Environ. Model. Assess. 3, 117-126.
Gorelick,: 1983, 'A review of distributed parameter groundwater management modeling methods', Water Resour. Res. 19(2), 305-319.
Gorelick, S. M.: 1990, 'Large-scale non-linear deterministic and stochastic optimization: Formulations involving simulation of subsurface contamination', Math. Prog. 48, 19-39.
Latinopoulos, P., Theodossiou, N., Mylopoulos, Y. and Mylopoulos, N.: 1994, A sensitivity analysis and parametric study for the evaluation of the optimal management of a contaminated aquifer, Water Resour. Manage. 8, 11-31.
Latinopoulos, P., Tolikas, D. and Mylopoulos, Y.: 1985, 'Boundary Elements and Optimization Techniques in Aquifer Dewatering', Proc. IASTED Inter. Conf. on Modeling and Simulation, Lugano.
Murtagh, B. A. and Saunders, M. A.: 1987, 'MINOS 5.1 User's Guide', Tech. Rep. SOL 83-20R, Dep. Oper. Res., Stanford University, Stanford California.
Mylopoulos, N., Mylopoulos, Y. and Theodossiou, N.: 1999, 'A joint risk-based decision analysis and stochastic optimization methodology in the remediation design of a contaminated groundwater resource in Greece', Canad. Water Resour. J. 24(1), 187-201.
Mylopoulos, Y. A., Theodossiou, N. and Mylopoulos, N. A.: 1999, 'A stochastic optimization approach in the remediation design of an aquifer under hydrogeologic uncertainty', Water Resour. Manage. 13, 335-351.
Theodossiou, N.: 1994, 'Combined use of Simulation and Optimization Models in Aquifer Management. A Case Study', in W. R. Blain and K. L. Katsifarakis (eds), HYDROSOFT'94, 5th International Conference on Hydraulic Engineering Software, Porto Carras, Greece.
Theodossiou, N.: 1994, 'Groundwater Mathematical Simulation and Optimisation Models. Application to the Kokkinohoria Aquifer in Cyprus', Ph.D. Thesis, Aristotle University of Thessaloniki, Thessaloniki, Greece.
Water Development Department: 1982, Southern Conveyor Project: Feasibility Study - Ground Water Resources, Nicosia, Cyprus.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Theodossiou, N.P. Application of Non-Linear Simulation and Optimisation Models in Groundwater Aquifer Management. Water Resources Management 18, 125–141 (2004). https://doi.org/10.1023/B:WARM.0000024723.17916.64
Issue Date:
DOI: https://doi.org/10.1023/B:WARM.0000024723.17916.64