Título del libro: Bioremediation: Processes, Challenges And Future Prospects
Título del capítulo: Modeling the discharge of nutrients for bioremediation of oil-polluted marine environments: Linear and quadratic programming strategies
DAVID PARRA GUEVARA; IOURI SKIBA SKIBA;
Autores externos:
Idioma:
Inglés
Año de publicación:
2014
Palabras clave:
Adjoint model; Bioremediation; Dispersion model; Oil spill; Optimal control
Resumen:
In this work, two variational problems, along with the corresponding linear and quadratic programming problems, are considered with the aim to determine optimal discharge point and 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 their concentrations still reach critical values sufficient to eliminate oil residuals in affected zones through bioremediation. A tridimensional problem for the advection-diffusion equation and its adjoint model are used to simulate, estimate and control the dispersion of nutrient in a limited region. It is shown that all these problems are well posed. 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 for discharge rate and initial distribution of the nutrient. Critical values of such mean concentrations are used as the constraints of variational and programming problems (linear and quadratic). In the quadratic variational problem, the analytical expression for determining the optimal discharge rate of nutrient is given as a linear combination of certain values of the adjoint problems solutions calculated for all the zones under consideration. Through this expression, a function has been obtained, whose minimum value is achieved at the optimal point of discharge. In the linear variational problem, some additional constraints are posed to limit not only the local discharge of nutrient, but also the mean concentration of this substance in the whole region. Both constraints serve for environmental protection.The ability of both methods is demonstrated by numerical experiments on the remediation in an oil-polluted channel by using three control zones. In particular, the experiments with the linear programming problem show that the optimal discharge rate can always be obtained with a simple combination of step functions. © 2014 Nova Science Publishers, Inc. All rights reserved.
Entidades citadas de la UNAM:
ISBN:
9781629485157
Editorial:
Nova Science Publishers, Inc. Nombre de la publicación:
Modeling the discharge of nutrients for bioremediation of oil-polluted marine environments: Linear and quadratic programming strategies
Página inicial:
121
Página final:
167
Tipo de producto:
Capítulo de un Libro
