A 3D DEM-LBM approach for the assessment of the quick condition for sands

M. Mansouri; J.-Y. Delenne; M.S. El Youssoufi; A. Seridi

doi:10.1016/j.crme.2009.09.010

A 3D DEM-LBM approach for the assessment of the quick condition for sands
[Approche couplée DEM-LBM 3D de prédiction de la boulance des sables]

Présenté par : Jean-Baptiste Leblond

M. Mansouri ^1,² ; J.-Y. Delenne ¹ ; M.S. El Youssoufi ¹ ; A. Seridi ³

¹ Laboratoire de mécanique et génie civil, UMR UM2-CNRS 5508, université Montpellier 2, cc 048, place E. Bataillon, 34095 Montpellier cedex 5, France
² Département de génie civil, université Ferhat-bbas, 19000, Setif, Algeria
³ Laboratoire de mécanique des solides et systèmes (LM2S), université M'hamed-Bougara, Boumerdes, Algeria

Comptes Rendus. Mécanique, Volume 337 (2009) no. 9-10, pp. 675-681.

Résumé
Abstract

Cet article présente un modèle numérique 3D pour évaluer le début de boulance dans un milieu granulaire polydisperse saturé. Le modèle est basé sur l'étude de l'évolution de la contrainte intergranulaire verticale à l'intérieur d'un échantillon granulaire soumis à un gradient hydraulique ascendant croissant. Cette contrainte est calculée moyennant la Méthode des Eléments Discrets (DEM). Les forces hydrodynamiques sur les grains sont calculées en utilisant la Méthode Lattice Boltzmann (LBM). L'hypothèse principale utilisée est que les grains restent immobiles tant que l'état de boulance n'est pas atteint. Le gradient hydraulique critique obtenu par le modèle est en bonne concordance avec celui défini en mécanique des sols classique.

We present a 3D numerical model to assess the quick condition (the onset of the boiling phenomenon) in a saturated polydisperse granular material. We use the Discrete Element Method (DEM) to study the evolution of the vertical intergranular stress in a granular sample subjected to an increasing hydraulic gradient. The hydrodynamic forces on the grains of the sample are computed using the Lattice Boltzmann Method (LBM). The principal assumption used is that grains remain at rest until the boiling onset. We show that the obtained critical hydraulic gradient is close to that defined in classical soil mechanics.

Reçu le : 2009-07-07
Accepté le : 2009-09-14
Publié le : 2009-09-01

DOI : 10.1016/j.crme.2009.09.010

Keywords: Granular media, Soils, Discrete elements, Lattice Boltzmann, Sand boiling
Mots-clés : Milieux granulaires, Sols, Éléments discrets, Lattice Boltzmann, Boulance du sable

Affiliations des auteurs :

M. Mansouri ^{1, 2} ; J.-Y. Delenne ¹ ; M.S. El Youssoufi ¹ ; A. Seridi ³

¹ Laboratoire de mécanique et génie civil, UMR UM2-CNRS 5508, université Montpellier 2, cc 048, place E. Bataillon, 34095 Montpellier cedex 5, France
² Département de génie civil, université Ferhat-bbas, 19000, Setif, Algeria
³ Laboratoire de mécanique des solides et systèmes (LM2S), université M'hamed-Bougara, Boumerdes, Algeria

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     author = {M. Mansouri and J.-Y. Delenne and M.S. El Youssoufi and A. Seridi},
     title = {A {3D} {DEM-LBM} approach for the assessment of the quick condition for sands},
     journal = {Comptes Rendus. M\'ecanique},
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     year = {2009},
     doi = {10.1016/j.crme.2009.09.010},
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M. Mansouri; J.-Y. Delenne; M.S. El Youssoufi; A. Seridi. A 3D DEM-LBM approach for the assessment of the quick condition for sands. Comptes Rendus. Mécanique, Volume 337 (2009) no. 9-10, pp. 675-681. doi : 10.1016/j.crme.2009.09.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2009.09.010/

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