Articles | Volume 20, issue 4
https://doi.org/10.5194/hess-20-1319-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/hess-20-1319-2016
© Author(s) 2016. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Research article
| 
05 Apr 2016
Research article |
| 05 Apr 2016
On the validity of effective formulations for transport through heterogeneous porous media
Jean-Raynald de Dreuzy
CORRESPONDING AUTHOR
Géosciences Rennes (UMR CNRS 6118), Campus de Beaulieu, Université de Rennes 1, 35042 Rennes, France
GHS UPC-C SIC, Institute of Environmental Analysis and Water Studies (IDAEA), 08034 Barcelona, Spain
Jesus Carrera
GHS UPC-C SIC, Institute of Environmental Analysis and Water Studies (IDAEA), 08034 Barcelona, Spain
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Cited
17 citations as recorded by crossref.
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- Temporal Mixing Behavior of Conservative Solute Transport through 2D Self-Affine Fractures Z. Dou et al. 10.3390/pr6090158
- Upscaling Mixing in Highly Heterogeneous Porous Media via a Spatial Markov Model E. Wright et al. 10.3390/w11010053
- Influence of Shear Displacement on Fluid Flow and Solute Transport in a 3D Rough Fracture Z. Dou et al. 10.2113/2021/1569736
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- One-domain approach for studying multiphase transport phenomena in biofilm growing systems J. Oliveros-Muñoz et al. 10.1080/08927014.2017.1311326
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- Reactive Transport: A Review of Basic Concepts with Emphasis on Biochemical Processes J. Carrera et al. 10.3390/en15030925
- An Improved Scheme for the Finite Difference Approximation of the Advective Term in the Heat or Solute Transport Equations J. Petchamé-Guerrero & J. Carrera 10.1007/s11242-024-02133-5
- Inherent relevance of MRMT models to concentration variance and mixing-induced reactivity T. Babey et al. 10.1016/j.advwatres.2017.09.024
- Influence of Grain Size Transition on Flow and Solute Transport through 3D Layered Porous Media Z. Dou et al. 10.2113/2021/7064502
- Multiscale roughness influence on conservative solute transport in self-affine fractures Z. Dou et al. 10.1016/j.ijheatmasstransfer.2018.12.141
- Research on the influence of roughness on solute transport through 3D self-affine fractures by lattice Boltzmann simulation Y. Deng et al. 10.1007/s12517-022-09651-w
- From conservative to reactive transport under diffusion‐controlled conditions T. Babey et al. 10.1002/2015WR018294
15 citations as recorded by crossref.
- Reproducing tailing in breakthrough curves: Are statistical models equally representative and predictive? D. Pedretti & M. Bianchi 10.1016/j.advwatres.2018.01.023
- The Multi-Advective Water Mixing Approach for Transport through Heterogeneous Media J. Soler-Sagarra et al. 10.3390/en14206562
- Modeling Mixing in Stratified Heterogeneous Media: The Role of Water Velocity Discretization in Phase Space Formulation J. Soler-Sagarra et al. 10.1007/s11242-022-01795-3
- Uncovering asymmetrical mass transfer in layered porous media: Insights from pore-scale analysis X. Zhang et al. 10.1016/j.jhydrol.2023.129790
- Temporal Mixing Behavior of Conservative Solute Transport through 2D Self-Affine Fractures Z. Dou et al. 10.3390/pr6090158
- Upscaling Mixing in Highly Heterogeneous Porous Media via a Spatial Markov Model E. Wright et al. 10.3390/w11010053
- Influence of Shear Displacement on Fluid Flow and Solute Transport in a 3D Rough Fracture Z. Dou et al. 10.2113/2021/1569736
- Influence of eddies on conservative solute transport through a 2D single self-affine fracture Z. Dou et al. 10.1016/j.ijheatmasstransfer.2018.01.037
- One-domain approach for studying multiphase transport phenomena in biofilm growing systems J. Oliveros-Muñoz et al. 10.1080/08927014.2017.1311326
- Developing semi-analytical solution for multiple-zone transient storage model with spatially non-uniform storage B. Deng et al. 10.1016/j.jhydrol.2017.10.029
- Reactive Transport: A Review of Basic Concepts with Emphasis on Biochemical Processes J. Carrera et al. 10.3390/en15030925
- An Improved Scheme for the Finite Difference Approximation of the Advective Term in the Heat or Solute Transport Equations J. Petchamé-Guerrero & J. Carrera 10.1007/s11242-024-02133-5
- Inherent relevance of MRMT models to concentration variance and mixing-induced reactivity T. Babey et al. 10.1016/j.advwatres.2017.09.024
- Influence of Grain Size Transition on Flow and Solute Transport through 3D Layered Porous Media Z. Dou et al. 10.2113/2021/7064502
- Multiscale roughness influence on conservative solute transport in self-affine fractures Z. Dou et al. 10.1016/j.ijheatmasstransfer.2018.12.141
2 citations as recorded by crossref.
Latest update: 11 Jul 2025
Short summary
Geological heterogeneity enhances spreading of solutes and causes transport to be anomalous with much less mixing and reactivity than suggested by dispersion. We propose formal criteria that should be met by effective transport formalisms to represent advection, spreading and mixing. While relevant for dispersion in heterogeneous porous media, mobile–immobile exchange models induce lower but more sustained resistance to mixing.
Geological heterogeneity enhances spreading of solutes and causes transport to be anomalous with...
