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Simplified mathematical model of conservative pollutant propagation in ground water stream including adsorption process

Aniszewski A.

Archives of Hydro-Engineering and Environmental Mechanics

2000

Vol. 47, nr 1-4

3-26

In the first part of this article, a mathematical model of conservative and passive pollutant propagation in one-dimensional flow of ground water (including advection and adsorption processes) has been presented. Basing on laboratory studies of pollution concentrations on a model for measuring adsorption and adopting the numerical solution for this mathematical model, adsorption parameters kI and n were also cal-culated (for non-linear function describing this process). In the second part, taking advantage of the calculated values of these parameters of adsorption, empirical re-lationships subjecting these adsorption parameters on both those characterising an aquiferous layer (competent diameter d10, spatial ground porosity p) and ground wa-ter flow (water level or pressure line slope of ground water) were worked out. At the same time, the values of pollutant concentration reductions as a result of adsorp-tion both from parameters characterising ground medium (competent diameter d10, spatial ground porosity p), ground water flow (pressure line slope I) and estimated adsorption parameters (k1, n) have also been worked out. At the end of this article basing on the empirical equations for adsorption parameter values, the calculated values of pollutant concentrations have also been calcu-lated and compared with the measured pollutant concentrations on a physical model.