Open Access

ARTICLE

Chance-Constrained Optimization of Pumping in Coastal Aquifers by Stochastic Boundary Element Method and Genetic Algorithm

B. Amaziane¹, A. Naji², D. Ouazar³, A. H.-D. Cheng⁴

1 Université de Pau, LMA-FRE2570 CNRS, IPRA, Avenue de l’Université, 64000 Pau, France. Email: brahim.amaziane@univ-pau.fr
2 Faculté des Sciences et Techniques, Université Abdelmalek Essaadi, MASE, B. P. 416, Tangier, Morocco. Email: naji@fstt.ac.ma
3 Ecole Mohammadia d’Ingénieurs, Université Mohammed V, LASH, B. P. 765, Agdal, Rabat, Morocco. Email: ouazar@emi.ac.ma
4 Department of Civil Engineering, University of Mississippi, University, MS 38677, USA. Email: acheng@olemiss.edu

Computers, Materials & Continua 2005, 2(2), 85-96. https://doi.org/10.3970/cmc.2005.002.085

Abstract

In this paper the optimization of groundwater pumping in coastal aquifers under the threat of saltwater intrusion is investigated. The aquifer is inhomogeneous and contains several hydraulic conductivities zones. The aquifer data such as the hydraulic conductivities are uncertain, but with their expected mean and standard deviation values given. A stochastic boundary element method based on the perturbation technique is employed as the simulation tool. The stochastic optimization is handled by the chance-constrained programming. Genetic algorithm is selected as the optimization tool. Numerical examples of deterministic and stochastic problems are provided to demonstrate the feasibility of the proposed schemes.

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Keywords

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