A comparative review of upscaling methods for solute transport in heterogeneous porous media
(2008) Journal of Hydrology — Vol. 362, n° 1-2, p. 150-176 (2008)
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- Abstract
- The classical Fickian model for solute transport in porous media cannot correctly predict the spreading (the dispersion) of contaminant plumes in a heterogeneous subsurface unless its structure is completely characterized. Although the required precision is outside the reach of current field characterization methods, the advection-dispersion model remains the most widely used model among practitioners. Two approaches can be adopted to solve the effect of physical heterogeneity on transport. First, based on a given characterization of the spatial structure of the subsurface, upscaling methods allow the computation of apparent scale-dependent parameters (especially longitudinal dispersivity) to be used in the classical Fickian model. In the second approach, upscaled (non-Fickian) transport equations with scale-independent parameters are used. In this paper, efforts are made to classify and review upscaling methods for Fickian transport parameters and non-Fickian upscaled transport equations for solute transport, with an emphasis on their mathematical properties and their (one-dimensional) analytical formulations. In particular, their capacity to mode( scale effects in apparent longitudinal dispersion is investigated. Upscaling methods and upscaled models are illustrated in the case of two three-dimensional synthetic aquifers, with lognormal hydraulic conductivity distributions characterized by variance values of 2 and 8. (C) 2008 Etsevier B.V. All rights reserved.
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Frippiat, C. C., & Holeyman, A. (2008). A comparative review of upscaling methods for solute transport in heterogeneous porous media. Journal of Hydrology, 362(1-2), 150-176. https://doi.org/10.1016/j.jhydrol.2008.08.015 (Original work published 2008)