Aplicação da teoria Fuzzy em um modelo bidimensional de transporte de massa, para estudar o risco em rios

Abstract

Considering that the water quality problems have become more critical, nowadays the search for more consistent mathematical models, which are able to quantify the uncertainties concerning the pollutant transport processes, have become more intense. In this context, the Fuzzy Set Theory emerges as a viable alternative to study the risk of failure of water systems, subject to effluent discharges. This research proposes a river pollutant transport modeling, where their main parameters are membership functions, defined according to the Fuzzy Set Theory. The research uses these concepts for solving the Bi-dimensional Advection Diffusion Equation, in fuzzy way, to determine the behavior of the risk of failure and the reliability of sustainability of rivers subject to all kinds of effluent discharges. The results showed that the proposed formulation is becoming a consistent alternative in the assessment of impacts caused by the spreading of pollutants, giving, to the managers of water resources, subsidies for better decisions making.