Articles | Volume 20, issue 4
https://doi.org/10.5194/hess-20-1319-2016
https://doi.org/10.5194/hess-20-1319-2016
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 and Jesus Carrera

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Cited articles

Babey, T., de Dreuzy, J.-R., and Casenave, C.: Multi-Rate Mass Transfer (MRMT) models for general diffusive porosity structures, Adv. Water Resour., 76, 146–156, https://doi.org/10.1016/j.advwatres.2014.12.006, 2014.
Battiato, I., Tartakovsky, D. M., Tartakovsky, A. M., and Scheibe, T.: On breakdown of macroscopic models of mixing-controlled heterogeneous reactions in porous media, Adv. Water Resour., 32, 1664–1673, https://doi.org/10.1016/j.advwatres.2009.08.008, 2009.
Beaudoin, A. and de Dreuzy, J. R.: Numerical assessment of 3-D macrodispersion in heterogeneous porous media, Water Resour. Res., 49, 2489–2496, https://doi.org/10.1002/wrcr.20206, 2013.
Beaudoin, A., de Dreuzy, J. R., Erhel, J., and Mustapha, H.: Parallel Simulations of Underground Flow in Porous and Fractured Media, in Parallel Computing: Current and Future Issues of High-End Computing, Volume 33 of NIC series, Verlag des Forschungszentrums Jülich, edited by: Joubert, W. E. N. G. R., Peters, F. J., Plata, O., Tirado, P., and Zapata, E., 399–406, 2006.
Beaudoin, A., de Dreuzy, J. R., and Erhel, J.: An efficient parallel tracker for advection-diffusion simulations in heterogeneous porous media, paper presented at Europar, 4641 Springer-Verlag, Berlin, Heidelberg Rennes, France, 28–31 August 2007, 2007.
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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.