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Multiscale modeling of fluid transport in heterogeneous materials using discrete Boltzmann methods

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Abstract

The lattice Boltzmann method is a promising approach for modeling single and multicomponent fluid flow in complex geometries like porous materials. Here, we review some of our previous work and discuss some recent developments concerning fluid flow in multiple pore size materials. After presenting some simple test cases to validate the model, results from large scale simulations of single and multi-component fluid flow through digitized Fontainebleau sandstone, generated by X-Ray microtomography, are given. Reasonably good agreement was found when compared to experimentally determined values of permeability for similar rocks. Finally, modification of the lattice Boltzmann equations, to describe flow in microporous materials, is described. The potential for modeling flows in other microstructures of interest to concrete technology will be discussed.

Résumé

La méthode Lattice Boltzmann est une approche à grand potentiel pour modeler l'écoulement à travers une géométrie complexe, comme celle des matériaux poreux, d'un fluide simple ou à composants multiples. Ici, nous passerons en revue une partie du travail complété et nous discuterons les développements récents concernant l'écoulement d'un fluide dans un matériau poreux ayant une large distribution de la dimension des pores. Nous présenterons, d'abord, des cas simples pour valider le modèle et, ensuite, des cas plus complexes incluant des écoulements de fluides simples ou à composants multiples dans une structure digitalisée d'un grès de Fontainebleau. La structure du grès fut générée par micrographie à Rayon-X. Les résultats du modèle ont une bonne corrélation avec la mesure de perméabilité déterminée sur des pierres similaires. Enfin, une modification des équations de la lattice Boltzmann permet de décrire l'écoulement à travers un matériau micro-poreux. Nous discuterons aussi la possibilité de modeler l'écoulement d'un fluide à travers d'autres micro-structures inspirées de la technologie du béton.

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Authors and Affiliations

  1. Building and Fire Research Laboratory, National Institute of Standards and Technology, 100 Bureau Drive Stop 8615, 20899-8615, Gaithersburg, MD, USA

    N. S. Martys

  2. Information Technology Laboratory, National Institute of Standards and Technology, 100 Bureau Drive Stop 8911, 20899-8911, Gaithersburg, MD, USA

    J. G. Hagedorn

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  1. N. S. Martys
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  2. J. G. Hagedorn
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Editorial Note The National Institute of Standards and Technology (NIST) is a RILEM Titular Member.

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Martys, N.S., Hagedorn, J.G. Multiscale modeling of fluid transport in heterogeneous materials using discrete Boltzmann methods. Mat. Struct. 35, 650–658 (2002). https://doi.org/10.1007/BF02480358

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