Abstract
Transport of reactive species in the subsurface is driven by mixing processes. Quantification of the mixing rate is, therefore, the basis for a proper characterization of the fate of pollutants in geochemically active environments. We consider the case of an anisotropic correlated random field, with perfect correlation in the horizontal plane, while the vertical integral scale is finite. Flow is uniform and takes place in the x-direction. Longitudinal constant dispersion is considered. Based on the analytical results of De Simoni et al. (2005) for the evaluation of reaction rates at the local scale, reaction is driven by local dispersion at any given point in space and time. Still, due to uncertainty in the advective velocity, reaction rates become a Spatial and Temporal Random Function. The aim of the work is to find the statistical moments of reaction rates, which in this particular configuration can be obtained exactly.
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Dentz M, Carrera J (2003) Effective dispersion in temporally fluctuating flow through a heterogeneous medium, Physical Review E, 68 (3): Art. No. 036310
De Simoni M, Carrera J, Sanchez-Vila X, Guadagnini A (2005) A procedure for the solution of multicomponent reactive transport problems, Water Resour Res, 41(11): Art. W11410
Gramling CM, Harvey CF, Meigs LC (2002) Reactive transport in porous media: A comparison of model prediction with laboratory visualization. Environ Sci Tech 36(11): 2508–2514
Kreft A, Zuber B (1978) On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions, Chem Eng Sci 33: 1471–1480
Lindstrom FT, Haque R, Freed VH, Boersma L (1967) Theory on the movement of some herbicides in soils: Linear diffusion and convection of chemicals in soils, J. Environ Sci Technol 1: 561–565
Matheron G, DeMarsily G (1980) Is Transport In Porous-Media Always Diffusive - A Counterexample, Water Resour Res 16 (5): 901–917
Ogata A, Banks RB (1961) A solution of the differential equation of longitudinal dispersion in porous media, U. S. Geol. Surv. Prof. Paper 411-A
Sun NZ (1996) Mathematical Modeling of Groundwater Pollution, Springer-Verlag, NY
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Sanchez-Vila, X., Guadagnini, A., Dentz, M., Fernández-Garcia, D. (2008). Statistical Moments of Reaction Rates in Subsurface Reactive Solute Transport. In: Soares, A., Pereira, M.J., Dimitrakopoulos, R. (eds) geoENV VI – Geostatistics for Environmental Applications. Quantitative Geology and Geostatistics, vol 15. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6448-7_11
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DOI: https://doi.org/10.1007/978-1-4020-6448-7_11
Publisher Name: Springer, Dordrecht
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