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IMPROVEMENT OF THE ANALYTICAL SOLUTION OF THE ADVECTION- DISPERSION EQUATION FOR USE IN INVERSE TASKS.
Abstract
General topic of this paper is numerical modelling of pollution dispersion in streams and use of some modelling approaches for the inverse task. Inverse task means a modelling technique, which is focused on the localisation of unknown pollution source. Such task is called ?inverse ?, because typical common models or equations are rather focused on the pollution spreading simulation, whereas the pollution source location is known. To solve such inverse problem various approaches can be used, but in all cases a prerequisite is to know pollution concentration time courses in the monitored stream section. One of the simplest approaches for solving the inverse task is to perform a large number of plausible simulations and to compare the simulated concentration time courses with the monitored one. The best fit can determine the distance of the pollution source. For such inverse task solution, a simple and fast modelling method should be used, but on the other hand the method should be as precise as possible. This paper proposes an improvement of the analytical method, which can be used for the inverse task solution.
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