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Solution of the groundwater transport management problem by sequential relaxation
Affiliation:1. Univ Lyon, INSA Lyon, DEEP, EA7429, 69621 Villeurbanne, France;2. Veolia EAU- Région Centre-Est, 2-4 avenue des Canuts, 69120 Vaulx-en-Velin, France;3. Veolia Recherche & Innovation, 765 rue Henri Becquerel, 34965 Montpellier, France;4. Valence Romans Agglo, Direction de l''Assainissement, des Eaux Pluviales et des Rivières, 1 place Jacques Brel, 26000 Valence, France;1. Graduate Research Program on Climate Change and Water Resources West African Science Service Center on Climate Change and Adapted Land use (WASCAL), Department of Applied Hydrology, University of Abomey-Calavi, Cotonou, Abomey-Calavi, BP 2008, Benin;2. School of Sustainale Development, University of Environment and Sustainable Development, Somanya Ghana;3. Laboratory of Applied Ecology, University of Abomey-CalaviCotonou, Abomey-Calavi, BP 2008, Benin;4. Institut Togalaise de Recherche Agronomique, BP 1163 Lome Togo;5. Ecole Nationale d''Ingenieur ENI-ABT Bamako, 410 Ave Al Quds, Bamako, Mali
Abstract:A heuristic algorithm is presented for problems which are formulated to find an optimal groundwater remediation strategy with constraints on confined groundwater flow and contaminant transport. The problem is simplified by decoupling the transport constraints from the hydraulic constraints to produce a linear hydraulic control optimization problem. The solution is obtained by an iterative process in which the constraints on hydraulic gradient are updated, using information from transport simulation, and the hydraulic control problem is solved repeatedly. In effect, the transport simulation is used to calibrate the head difference constraint values of the hydraulic control problem. The algorithm is described in detail and its convergence is demonstrated on several examples. The advantages and limitations of the algorithm are discussed.
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