PMID: 12400836Oct 29, 2002

Choice of dispersion coefficients in reactive transport calculations on smoothed fields

Journal of Contaminant Hydrology
Olaf A Cirpka

Abstract

Local dispersion dominates the mixing of compounds that are introduced separately into the subsurface and do not partition into any other than the aqueous phase. Thus, reactions between these compounds are controlled by dispersive mixing if they are not limited by kinetics. I quantify longitudinal dispersive mixing by the longitudinal effective dispersion coefficient of a conservative tracer introduced by a point-like injection [Water Resour. Res. 36 (12) (2000) 3591-3604]. In the upscaling of mixing-controlled reactive transport, I apply the mean velocity and the effective dispersion coefficient to the macroscopic transport calculations, whereas the reactive parameters on the macro-scale are identical to those on the local scale. The applicability of the approach is demonstrated for the transport of compounds undergoing a second-order irreversible bimolecular reaction. Ten realizations of a two-dimensional heterogeneous log-conductivity field are considered. Using the effective dispersion parameters, the overall mass balance is met in the ensemble average, whereas solute spreading is underestimated. I assess the lack of spreading by the difference between the expected macrodispersion and effective dispersion coefficients. I ex...Continue Reading

Citations

Nov 20, 2012·Journal of Contaminant Hydrology·David L Hochstetler, Peter K Kitanidis
Oct 19, 2010·Journal of Contaminant Hydrology·P J HaestE Smolders
Nov 10, 2009·Journal of Contaminant Hydrology·Massimo RollePeter Grathwohl
May 2, 2008·Journal of Contaminant Hydrology·Olaf A CirpkaMarco Dentz
Jun 15, 2007·Journal of Contaminant Hydrology·P A S HamPeter Grathwohl
Nov 4, 2006·Journal of Contaminant Hydrology·O Atteia, C Guillot
Feb 28, 2006·Journal of Contaminant Hydrology·U Maier, Peter Grathwohl
Jul 12, 2005·Journal of Contaminant Hydrology·Olaf A Cirpka
Dec 18, 2013·Ground Water·Christina M HabererPeter Grathwohl
Feb 28, 2015·Journal of Contaminant Hydrology·Alicia Sanz-PratOlaf A Cirpka

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