Convergence of deterministic and stochastic approaches in optimal remediation design of a contaminated aquifer |
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| Authors: | Nak-Youl Ko Kang-Kun Lee |
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| Institution: | (1) School of Earth and Environmental Sciences, Seoul National University, Seoul, 151-742, South Korea |
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| Abstract: | The comparison between two series of optimal remediation designs using deterministic and stochastic approaches showed a number
of converging features. Limited sampling measurements in a supposed contaminated aquifer formed the hydraulic conductivity
field and the initial concentration distribution used in the optimization process. The deterministic and stochastic approaches
employed a single simulation–optimization method and a multiple realization approach, respectively. For both approaches, the
optimization model made use of a genetic algorithm. In the deterministic approach, the total cost, extraction rate, and the
number of wells used increase when the design must satisfy the intensified concentration constraint. Growing the stack size
in the stochastic approach also brings about same effects. In particular, the change in the selection frequency of the used
extraction wells, with increasing stack size, for the stochastic approach can indicate the locations of required additional
wells in the deterministic approach due to the intensified constraints. These converging features between the two approaches
reveal that a deterministic optimization approach with controlled constraints is achievable enough to design reliable remediation
strategies, and the results of a stochastic optimization approach are readily available to real contaminated sites. |
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| Keywords: | Stochastic optimization Multiple realization approach Remediation design Genetic algorithm |
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