NDLI: A Linear-Programming-Based Strategy for Bioremediation of Oil-Polluted Marine Environments

Content Provider	Springer Nature Link
Author	Parra Guevara, David Skiba, Yuri N.
Copyright Year	2012
Abstract	A linear programming problem is considered with the aim to determine the optimal discharge point and the optimal discharge rate of a nutrient to be released to a marine environment polluted with oil. The objective is to minimize the total discharge of nutrient into the system provided that the concentrations of nutrient will reach critical values sufficient to eliminate oil residuals in certain affected zones through bioremediation. An initial boundary-value 3D problem for the advection–diffusion equation and its adjoint problems are considered to model, estimate, and control the dispersion of nutrient in a limited region. It is shown that the advection–diffusion problem is well posed, and its solution satisfies the mass balance equation. In each oil-polluted zone, the mean concentration of nutrient is determined by means of an integral formula in which the adjoint model solution serves as a weight function. Critical values of these mean concentrations are used as the constraints of linear programming problem. Some additional constraints are posed in order to limit not only the local discharge of the nutrient, but also the mean concentration of this substance in the whole region. Both constraints serve for environmental protection. The ability of the new method is demonstrated by numerical experiments on the remediation in oil-polluted channel using three control zones. The experiments show that the optimal discharge rate can always be got with a simple combination of step functions.
Starting Page	135
Ending Page	146
Page Count	12
File Format	PDF
ISSN	14202026
Journal	Environmental Modeling & Assessment
Volume Number	18
Issue Number	2
e-ISSN	15732967
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-09-13
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Dispersion model Adjoint equation Linear programming Bioremediation Math. Application in Environmental Science Mathematical Modeling and Industrial Mathematics Applications of Mathematics Environment
Content Type	Text
Resource Type	Article
Subject	Environmental Science

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