Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media

Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media

Ponencia presentada en la XIX International Conference on Computational Methods in Water Resources (CMWR 2012), celebrad del 17 al 21 de junio de 2012 en la Universidad de Illinois.

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Main Authors: De Anna, Pietro, Leborgne, Tanguy, Tartakovsky, Alexandre M., Dentz, Marco, Bolster, Diogo
Format: comunicación de congreso biblioteca
Language:English
Published: University of Illinois at Urbana-Champaign 2012-06
Online Access:http://hdl.handle.net/10261/94497
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spelling dig-idaea-es-10261-944972018-05-18T10:16:20Z Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media De Anna, Pietro Leborgne, Tanguy Tartakovsky, Alexandre M. Dentz, Marco Bolster, Diogo Ponencia presentada en la XIX International Conference on Computational Methods in Water Resources (CMWR 2012), celebrad del 17 al 21 de junio de 2012 en la Universidad de Illinois. Natural flow fields in porous media display a complex spatio - temporal organization due to heterogeneous geological struc tures at different scales. This multiscale disorder implies anomalous dispersion, mixing and reaction kinetics (Berkowitz et al. RG 2006, Tartakovsky PRE 2010). In this context, classical continuum models based on Fickian mixing may misrepresent reactive t ransport. Using two dimensional pore scale SPH numerical simulations of flow and transport, we demonstrate the non Gaussian nature and the long range temporal correlation of the Lagrangian velocity field. The main origin of these properties is the existenc e of very low velocity regions where solute particles can remain trapped for a long time. Another source of strong correlation is the channeling of flow in localized high velocity regions. Thus, this result questions the applicability of classical Langevin approaches f or modeling mixing and reaction kinetics. In order to define an effective upscaled model, we adopt a upscaled model that takes into account the statistical properties of the pore scale Lagrangian velocity field. Analyzing the pore scale statistical properties of the flow, we show the spatial Markovian, and temporal non Markovian, nature of the Lagrangian velocity field. Therefore, an upscaled model can be defined as a correlated Continuous Time Random Walk (Le Borgne et al. PRL 2008) in two dimension. This account for both non Gaussian velocity distribution and long range temporal correlation property. The key feature of this model is the definition of a transition probability density for Lagrangian velocities across a characteristic correlation distance. We quantify this transition probability density from pore scale simulations and use it in the effective random walk model. In this framework, we discuss the ability of this effective model to represent correctly dispersion, mixing and reaction kinetics. Peer reviewed 2014-03-31T07:45:15Z 2014-03-31T07:45:15Z 2012-06 comunicación de congreso http://purl.org/coar/resource_type/c_5794 XIX International Conference on Computational Methods in Water Resources (2012) http://hdl.handle.net/10261/94497 en #PLACEHOLDER_PARENT_METADATA_VALUE# info:eu-repo/grantAgreement/EC/FP7/282900 none University of Illinois at Urbana-Champaign
institution IDAEA ES
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country España
countrycode ES
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access En linea
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libraryname Biblioteca del IDAEA España
language English
description Ponencia presentada en la XIX International Conference on Computational Methods in Water Resources (CMWR 2012), celebrad del 17 al 21 de junio de 2012 en la Universidad de Illinois.
format comunicación de congreso
author De Anna, Pietro
Leborgne, Tanguy
Tartakovsky, Alexandre M.
Dentz, Marco
Bolster, Diogo
spellingShingle De Anna, Pietro
Leborgne, Tanguy
Tartakovsky, Alexandre M.
Dentz, Marco
Bolster, Diogo
Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media
author_facet De Anna, Pietro
Leborgne, Tanguy
Tartakovsky, Alexandre M.
Dentz, Marco
Bolster, Diogo
author_sort De Anna, Pietro
title Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media
title_short Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media
title_full Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media
title_fullStr Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media
title_full_unstemmed Upscaling of transport in correlated non Gaussian velocity fields: consequences for modeling mixing and reactions in porous media
title_sort upscaling of transport in correlated non gaussian velocity fields: consequences for modeling mixing and reactions in porous media
publisher University of Illinois at Urbana-Champaign
publishDate 2012-06
url http://hdl.handle.net/10261/94497
work_keys_str_mv AT deannapietro upscalingoftransportincorrelatednongaussianvelocityfieldsconsequencesformodelingmixingandreactionsinporousmedia
AT leborgnetanguy upscalingoftransportincorrelatednongaussianvelocityfieldsconsequencesformodelingmixingandreactionsinporousmedia
AT tartakovskyalexandrem upscalingoftransportincorrelatednongaussianvelocityfieldsconsequencesformodelingmixingandreactionsinporousmedia
AT dentzmarco upscalingoftransportincorrelatednongaussianvelocityfieldsconsequencesformodelingmixingandreactionsinporousmedia
AT bolsterdiogo upscalingoftransportincorrelatednongaussianvelocityfieldsconsequencesformodelingmixingandreactionsinporousmedia
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