On the validity of effective formulations for transport through heterogeneous porous media
Geological heterogeneity enhances spreading of solutes and causes transport to be anomalous (i.e., non-Fickian), 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 non-dispersive mixing cannot. © Author(s) 2016.
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Copernicus Publications
2016-04-05
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Subjects: | Porous materials, Solute transport, Dispersion coefficient, Mass transfer, |
Online Access: | http://hdl.handle.net/10261/175385 http://dx.doi.org/10.13039/501100000781 |
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dig-idaea-es-10261-1753852021-08-18T10:46:45Z On the validity of effective formulations for transport through heterogeneous porous media De Dreuzy, Jean Raynald Carrera, Jesús European Research Council Porous materials Solute transport Dispersion coefficient Mass transfer Geological heterogeneity enhances spreading of solutes and causes transport to be anomalous (i.e., non-Fickian), 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 non-dispersive mixing cannot. © Author(s) 2016. The European Union is acknowledged for its funding through the Marie-Curie Fellowship PIEF-GA-2009-251710 and through the project FP7-ENERGY-2012-1-2STAGE TRUST (High-resolution monitoring, real time visualization and reliable modeling of highly controlled, intermediate and upscalable size pilot injection tests of underground storage of CO2). The ANR is acknowledged for its funding through its Project H2MNO4 under the No. ANR-12-MONU-0012-01. Peer reviewed 2019-02-06T11:06:11Z 2019-02-06T11:06:11Z 2016-04-05 artículo http://purl.org/coar/resource_type/c_6501 Hydrology and Earth System Sciences 20 (4): 1319-1330 (2016) http://hdl.handle.net/10261/175385 10.5194/hess-20-1319-2016 http://dx.doi.org/10.13039/501100000781 en #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/EC/FP7/309067 Publisher's version https://doi.org/10.5194/hess-20-1319-2016 Sí open Copernicus Publications |
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Porous materials Solute transport Dispersion coefficient Mass transfer Porous materials Solute transport Dispersion coefficient Mass transfer De Dreuzy, Jean Raynald Carrera, Jesús On the validity of effective formulations for transport through heterogeneous porous media |
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Geological heterogeneity enhances spreading of solutes and causes transport to be anomalous (i.e., non-Fickian), 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 non-dispersive mixing cannot. © Author(s) 2016. |
author2 |
European Research Council |
author_facet |
European Research Council De Dreuzy, Jean Raynald Carrera, Jesús |
format |
artículo |
topic_facet |
Porous materials Solute transport Dispersion coefficient Mass transfer |
author |
De Dreuzy, Jean Raynald Carrera, Jesús |
author_sort |
De Dreuzy, Jean Raynald |
title |
On the validity of effective formulations for transport through heterogeneous porous media |
title_short |
On the validity of effective formulations for transport through heterogeneous porous media |
title_full |
On the validity of effective formulations for transport through heterogeneous porous media |
title_fullStr |
On the validity of effective formulations for transport through heterogeneous porous media |
title_full_unstemmed |
On the validity of effective formulations for transport through heterogeneous porous media |
title_sort |
on the validity of effective formulations for transport through heterogeneous porous media |
publisher |
Copernicus Publications |
publishDate |
2016-04-05 |
url |
http://hdl.handle.net/10261/175385 http://dx.doi.org/10.13039/501100000781 |
work_keys_str_mv |
AT dedreuzyjeanraynald onthevalidityofeffectiveformulationsfortransportthroughheterogeneousporousmedia AT carrerajesus onthevalidityofeffectiveformulationsfortransportthroughheterogeneousporousmedia |
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1777669318637518848 |