One-dimensional modeling of piping flow erosion

Damien Lachouette; Frédéric Golay; Stéphane Bonelli

doi:10.1016/j.crme.2008.06.007

One-dimensional modeling of piping flow erosion

Presented by: Pierre Suquet

Damien Lachouette ^1,²; Frédéric Golay ²; Stéphane Bonelli ^1,³

¹ Cemagref, 3275, route de Cezanne, CS 40061, 13182 Aix-en-Provence cedex 5, France
² Imath, Université du Sud Toulon-Var-ISITV, avenue Georges-Pompidou, B.P. 56, 83162 La Valettedu Var, France
³ Laboratoire de mécanique et d'acoustique (UPR-CNRS 7071), 31, chemin Joseph-Aiguier, 13402 Marseille, France

Comptes Rendus. Mécanique, Volume 336 (2008) no. 9, pp. 731-736.

Abstract
Résumé

A process called “piping”, which often occurs in water-retaining structures (earth-dams, dykes, levees), involving the formation and progression of a continuous tunnel between the upstream and downstream sides, is one of the main cause of structure failure. Starting with the diphasic flow volume equations and the jump equations including the erosion processes, a simplified one-dimensional model for two-phase piping flow erosion was developed. The numerical simulation based on constant input and output pressures showed that the particle concentration can be a significant factor at the very beginning of the process, resulting in the enlargement of the hole at the exit. However, it was concluded that this influence is a secondary factor: the dilute flow assumption, which considerably simplifies the description, is relevant here.

Un phénomène appelé renard hydraulique concerne de nombreux ouvrages hydrauliques (barrages, digues, levées), conduisant à la formation et au développement d'un tunnel continu entre l'amont et l'aval. C'est l'une des causes principales de rupture. A partir des équations d'écoulement diphasique, et des équations de saut avec érosion, nous proposons un modèle simplifié unidimensionnel pour les écoulements denses de conduit avec érosion. Les résultats numériques avec pression constante en entrée et en sortie montrent que l'influence de la concentration en particules solides peut être significative au début de l'évolution, conduisant à un élargissement du trou en sortie. Toutefois, nous concluons que cette influence est du second ordre : l'hypothèse d'écoulement dilué, qui simplifie considérablement la description, est pertinente.

Received: 2007-12-07
Accepted: 2008-06-25
Published online: 2008-07-31

DOI: 10.1016/j.crme.2008.06.007

Keywords: Fluid mechanics, Two-phase flow, Internal erosion, Piping flow erosion
Mots-clés : Mécanique des fluides, Écoulements diphasiques, Érosion interne, Renard hydraulique

Author's affiliations:

Damien Lachouette ^{1, 2}; Frédéric Golay ²; Stéphane Bonelli ^{1, 3}

¹ Cemagref, 3275, route de Cezanne, CS 40061, 13182 Aix-en-Provence cedex 5, France
² Imath, Université du Sud Toulon-Var-ISITV, avenue Georges-Pompidou, B.P. 56, 83162 La Valettedu Var, France
³ Laboratoire de mécanique et d'acoustique (UPR-CNRS 7071), 31, chemin Joseph-Aiguier, 13402 Marseille, France

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     author = {Damien Lachouette and Fr\'ed\'eric Golay and St\'ephane Bonelli},
     title = {One-dimensional modeling of piping flow erosion},
     journal = {Comptes Rendus. M\'ecanique},
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Damien Lachouette; Frédéric Golay; Stéphane Bonelli. One-dimensional modeling of piping flow erosion. Comptes Rendus. Mécanique, Volume 336 (2008) no. 9, pp. 731-736. doi : 10.1016/j.crme.2008.06.007. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2008.06.007/

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