A comparative review of upscaling methods for solute transport in heterogeneous porous media

Frippiat, Christophe; Holeyman, Alain

doi:10.1016/j.jhydrol.2008.08.015

Cited by 68 publications

(36 citation statements)

References 191 publications

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“…Many software packages such as HYDRUS-1/2/3D and MT3DMS were developed based on CDE to interpret tracer transport problems under laboratory and field conditions. Using CDE at local scale, many upscaling methods such as volume averaging and stochastic approaches were proposed to describe solute transport in heterogeneous porous media at large scales (Berkowitz et al, 2006;Frippiat and Holeyman, 2008;Neuman and Tartakovsky, 2008).…”

Section: Cdementioning

confidence: 99%

Comparison of alternative models for simulating anomalous solute transport in a large heterogeneous soil column

Gao

Zhan

Feng

et al. 2009

Journal of Hydrology

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This manuscript was handled by P. Baveye, Editor-in-Chief This study compared five different models for evaluating solute transport in a 1250-cm long, saturated and highly heterogeneous soil column. The five models were: the convection-dispersion equation (CDE), the mobile-immobile model (MIM), the convective lognormal transfer function model (CLT), the spatial fractional advection-dispersion equation (FADE) and the continuous time random walk model (CTRW). Each of these models was used to fit the breakthrough curve (BTC) at each distance individually and was also used to fit the BTCs at different distances simultaneously. Dependence of estimated parameters on distance was investigated. The estimated parameters at 200 cm were used to make predictions at subsequent distances. Highly anomalous transport behavior was observed in the column as the BTCs demonstrated significantly irregular shape and long tailing. This study indicated that CDE, CLT and FADE were unable to describe the anomalous BTCs adequately and their parameters changed with transport distance significantly. Compared to CDE, CLT and FADE, MIM better captured the evolution of anomalous BTCs. However, MIM did not explain the distinct BTC tailing satisfactorily. In contrast to MIM, CTRW better simulated the long tails of BTCs. The spreading parameter (b) of CTRW was close to one and remained approximately constant at different travel distances. To make the comparison of these five models more general beyond the specific transport condition in the soil column, a generic evaluation of the advantages and disadvantages of these five models was presented in terms of their theory framework and a priori knowledge of the model behaviors.

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Section: Cdementioning

confidence: 99%

Comparison of alternative models for simulating anomalous solute transport in a large heterogeneous soil column

Gao

Zhan

Feng

et al. 2009

Journal of Hydrology

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“…In CDE, model local dispersion is a physical mechanism of spreading caused by micro-scale variability in the velocity field [23]. Ratio of D to pore water velocity (dispersivity) is an important quantity that determines whether the transport is convection or hydrodynamic dispersion dominated.…”

Section: Resultsmentioning

confidence: 99%

Solute Transportin Sand Columns as Affected by Effluent Surface Tension

Erşahin¹

2015

JAST-A

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Transport of nonreactive solutes in soils is principally controlled by soil properties, such as particle-size distribution and pore geometry. Surface tension of soil water yields capillary forces that bind the water in the soil pores. Changes in soil water surface tension by contaminants may affect flow of soil water due to decreased capillary forces, caused by lowered soil water surface tension. This study aimed at assessing solute transport in sand columns as affected by effluent surface tension. Miscible displacement (MD) tests were conducted on sand columns repacked with sands sieved from 2.0, 1.0, 0.5 and 0.25 mm screens. The MD tests were conducted with 0.05 M bromide solutions prepared using water with surface tension adjusted to 72.8, 64, 53.5 and 42 dyne/cm 2 .Obtained breakthrough curves were modeled with the convection-dispersion equation (CDE) model. Coefficient of hydrodynamic dispersion and pore-water velocity responded inconsistently across decreased particle-sizes and water surface tensions and this was attributed to non-uniform effect of lowered effluent surface tension on solute transport in different pore-size distribution.

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“…Anomalous transport observations include tailing in concentration breakthrough curves and plumes, or the strong increase in the rate of spreading of plumes. Several frameworks have been developed to generalize the advection-dispersion equation (ADE) and overcome its limitations (Frippiat and Holeyman, 2008). All these alternative frameworks share the goal to model complex permeability, velocity and concentration patterns in unified parsimonious effective equations.…”

Section: Introductionmentioning

confidence: 99%

On the validity of effective formulations for transport through heterogeneous porous media

Dreuzy

Carrera

2016

Hydrol. Earth Syst. Sci.

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Abstract. Geological heterogeneity enhances spreading of solutes and causes transport to be anomalous (i.e., nonFickian), with much less mixing than suggested by dispersion. This implies that modeling transport requires adopting either stochastic approaches that model heterogeneity explicitly or effective transport formulations that acknowledge the effects of heterogeneity. A number of such formulations have been developed and tested as upscaled representations of enhanced spreading. However, their ability to represent mixing has not been formally tested, which is required for proper reproduction of chemical reactions and which motivates our work. We propose that, for an effective transport formulation to be considered a valid representation of transport through heterogeneous porous media (HPM), it should honor mean advection, mixing and spreading. It should also be flexible enough to be applicable to real problems. We test the capacity of the multi-rate mass transfer (MRMT) model to reproduce mixing observed in HPM, as represented by the classical multi-Gaussian log-permeability field with a Gaussian correlation pattern. Non-dispersive mixing comes from heterogeneity structures in the concentration fields that are not captured by macrodispersion. These fine structures limit mixing initially, but eventually enhance it. Numerical results show that, relative to HPM, MRMT models display a much stronger memory of initial conditions on mixing than on dispersion because of the sensitivity of the mixing state to the actual values of concentration. Because MRMT does not restitute the local concentration structures, it induces smaller non-dispersive mixing than HPM. However long-lived trapping in the immobile zones may sustain the deviation from dispersive mixing over much longer times. While spreading can be well captured by MRMT models, in general nondispersive mixing cannot.

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A comparative review of upscaling methods for solute transport in heterogeneous porous media

Cited by 68 publications

References 191 publications

Comparison of alternative models for simulating anomalous solute transport in a large heterogeneous soil column

Comparison of alternative models for simulating anomalous solute transport in a large heterogeneous soil column

Solute Transportin Sand Columns as Affected by Effluent Surface Tension

On the validity of effective formulations for transport through heterogeneous porous media

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