Solving Groundwater Management Problems Using a New Methodology
Recently the problem of groundwater management has been approached by several optimization techniques including the classical linear/nonlinear programming methods, simulated annealing, neural networks, genetic algorithms and the outer approximation method. The ‘outer approximation’ method is a global optimization technique for the minimization of a concave function over a compact set of constraints. The concept of this method, as well as applications of the method to groundwater management, problems, was first presented by the authors for problems with a convex set of constraints (Karatzas and finder, ), and in a later work for a non-convex set of constraints (baratzas and finder, ).
Ilerein, a brief description of the theoretical concept of the method is introduced, followed by applications of the method to groundwater management problems using a, 2-D and a 3-D numerical simulator. First, the methodology is applied to a hypothetical contaminated aquifer problem using a 2-D numerical simulator. A remediation scheme using two pumping wells is proposed for an easy representation of the concept of the outer approximation method in a 2-D space. Next, a hypothetical aquifer system is considered, which is represented by the 3-D numerical simulator PTC (Princeton Transport Code); four scenarios are examined, locating the potential pumping wells either on the first, second, or third layer and then by distributing them among the three layers. For each of the above scenarios the total remediation cost is computed, and conclusions drawn from the comparison.
KeywordsFeasible Region Optimization Step Outer Approximation Remediation Scheme Contaminant Source
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