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Predictive modelling of dispersion controlled reactive plumes at the laboratory-scale
Authors:Ham P A S  Prommer H  Olsson A H  Schotting R J  Grathwohl P
Affiliation:Utrecht University, Hydrogeology Group, P.O. Box 80021, 3508 TA, Utrecht, Holland, The Netherlands. hamp@porus-solutions.co.uk
Abstract:A model-based interpretation of laboratory-scale experimental data is presented. Hydrolysis experiments carried out using thin glass tanks filled with glass beads to construct a hypothetical and inert, homogeneous porous medium were analysed using a 2D numerical model. A new empirical formula, based upon results for non-reactive (tracer) experiments is used to calculate transversal dispersivity values for a range of grain sizes and any flow velocities. Combined with effective diffusion coefficients calculated from Stokes-Einstein type equations, plume lengths arising from mixing between two solutes can be predicted accurately using numerical modelling techniques. Moreover, pH and ion concentration profiles lateral to the direction of flow of the mixing species can be determined at any given point downstream, without the need for result fitting. In our case, this approach does not lead to overpredictions of lateral mixing, as previously reported when using parameters derived from non-reactive tracer experiments to describe reactive solute transport. The theory is based on the assumption of medium homogeneity.
Keywords:Transversal dispersivity  Plume length  Mixing  Dilution  Mechanical dispersion  Molecular diffusion
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