A multicriterion approach to groundwater management

Abstract

A new approach to groundwater quantity (hydraulic) management, based on a multicriterion decision aid methodology, is presented. The method couples a hydrodynamic groundwater flow simulation model with the decision aid one. It takes into account multiple criteria used by the decision maker (DM) in evaluating a management scenario as well as the hydrodynamic behavior of the groundwater system. The finite element and embedding methods are used to integrate the groundwater flow model into a multiobjective linear programming (LP) problem. Constraints on head, pumping rates, hydraulic gradient and velocity vector may be included in the management model. The piecewise linear utility function is assessed for modeling the DM's preferences. The best compromise solution is determined from the continuous Pareto set by solving a piecewise LP problem. User friendly software was developed to realize this methodology which is able to treat real scale problems. An illustrative example of an unconfined aquifer management is presented. Nonlinearities resulting from functional dependence of aquifer parameters on hydraulic head are handled iteratively.

An interactive multicriteria decision model for multipurpose reservoir management: the Shellmouth Reservoir

“…Berkemer et al (1993), El Magnouni andTreichel (1994) and Makowski et al (1995). El Magnouni and Treichel (1994) apply the interactive method of JacquetLagreÁ ze et al (1987) to a linearized groundwater problem.…”

“…Berkemer et al (1993), El Magnouni andTreichel (1994) and Makowski et al (1995). El Magnouni and Treichel (1994) apply the interactive method of JacquetLagreÁ ze et al (1987) to a linearized groundwater problem. Berkemer et al (1993) and Makowski et al (1995) apply the interactive reference point method (Wierzbicki, 1980) to a waste management programme for the Nitra River system in Slovakia.…”

Simulation-Optimization Modeling of Conjunctive Use of Surface Water and Groundwater

“…Conjunctive use models based on the particular problem under consideration and the assumptions may be classified as linear programming models, dynamic programming models, hierarchical optimization models, nonlinear programming models, evolutionary algorithms, and simulation-optimization models (Vedula et al 2005). Linear programming has been applied successfully in conjunctive modeling (Rogers and Smith 1970;Nieswand and Granstorm 1971;Louie et al 1984;O'Mara and Duloy 1984;Hantush and Mariño 1989;Elmangnouni and Treichel 1994;Sethi et al 2002;Vedula et al 2005). Dynamic programming has been used because its advantages in sequential decision making processes and applicability to nonlinear systems (Buras 1963;Aron 1969;Coskunoglu and Shetty 1981;Onta et al 1991;Provencher and Burt 1994;Barlow 1997).…”

Simulation and optimization of groundwater exploitation for the water supply of Tarnów agglomeration (southern Poland)

“…The two most common methods to combine the mathematical model of the groundwater system with the formulation of the optimization task corresponding to a given management problem are the unit response matrix method and the method of embedding (Gorelick 1983;El Magnouni, Treichel 1994;Treichel, Rodzoch 1997).…”