مهندسی مکانیک شریف (May 2019)
INVERSE SOLUTION OF THE ADVECTION-DISPERSION EQUATION IN RIVERS FOR POLLUTION SOURCE IDENTIFICATION
Abstract
Water crisis is occurred due to a series of challenges and problems and often caused by improper water resources management. Management of river water quality along its quantity is one of the key factors in water resources management. Unfortunately, in spite of numerous standards and regulations, there are still some violations which happen in terms of discharge of pollutants and effluents in rivers and surface water resources. There are several physical mechanisms that influence the discharged contaminants in its movement to downstream, namely advection and dispersion. Among control measures for rivers water quality management, pollution source identification is an effective way for identifying the pollutant parties beside the river. In this paper using the inverse solution of the pollution transport equation in rivers, for one-dimensional case under non-uniform flow regime, a procedure for pollution source identification is proposed. The main underlying theory is based on the Quasi-Reversibility method which solves the advection-dispersion equation by negative time steps. The method converts the ill-posed problem to a well-posed one, by adding the stabilizing term to the advection-dispersion equation. The importance of the stabilizing term is determined by its coefficient in a way that minimum required stability is satisfied. The method was verified by some test cases, which implies that the application of the Quasi-Reversibility method in pollution source identification in rivers can be effectively achieved.
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