On the modelling of piping erosion

Bonelli, Stéphane; Brivois, Olivier; Borghi, R.; Benahmed, Nadia

doi:10.1016/j.crme.2006.07.003

Cited by 77 publications

(84 citation statements)

References 2 publications

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“…Other models replace the shear stress by the stream power as the controlling parameter but experimental evidence seems to indicate that the shear force model is appropriate, both for laboratory and in situ cases [28]. More refined models try to include the influence of the sediments detached from the soil (see for example [19,29]), or consider probabilistic models for the erosion factors [30], however it remains unclear whether the alternatives they provide are truly required with respect to the simpler model of Eq. (11).…”

Section: Erosion Due To a Flowmentioning

confidence: 99%

“…Apart from its interest in showing the numerical accuracy of the level set representation, this example is also, to the knowledge of the authors, the first application of level sets to this problem, for which it seems appealing. Indeed, piping is one the main causes of failure of dams and embankments, while its modeling is still based on semi-analytical [19] or experimental [20,21] approaches. In particular, the semi-analytical approaches are heavily dependent on symmetry hypotheses that are probably not very relevant in practice.…”

Section: Introductionmentioning

confidence: 99%

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Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena

2009

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This paper builds on the flexibility of the level-set representation to model in a unified manner the expansion of a hollow in the ground under different physical phenomena. In particular, the dissolving action of a flow of water in a saturated soil, and that of a jet of particles of water in a nonsaturated one, are represented in a common framework. In that manner, the complex geometrical evolutions of the hollow can be followed without the need for remeshing and this approach allows for a smooth transition between saturated and non-saturated models of the soil. Implementation and numerical difficulties are discussed and two applications of industrial interest are considered. The first one describes the modeling of the piping phenomenon, and the second one the evolution of an excavation created by a leaking duct.

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Section: Erosion Due To a Flowmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena

2009

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“…More refined models try to include the influence of the sediments detached from the soil (see for example (Woodward, 1999;Bonelli et al, 2006;Brivois et al, 2007)), or consider probabilistic models for the erosion factors (Sidorchuk, 2005), however it remains unclear whether the alternatives they provide are truly required with respect to the simpler model of equation [7]. Following (Wan et al, 2004a;Knapen et al, 2007), an approximation can be used to derive the hydraulic shear stress as a function of the gradient of the hydraulic head,…”

Section: Modeling Of Erosionmentioning

confidence: 99%

Numerical modeling of erosion using an improvement of the extended finite element method

Cottereau¹,

Dı́ez²

2011

European Journal of Environmental and Civil Engineering

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ABSTRACT. We present in this paper a numerical model of the erosion of a soil that accounts for both the flow in the open fluid and the flow of fluid through the porous soil. The interface between the open fluid and the soil is represented using a level-set function, and the erosion is controlled by the shear stress vector. The evaluation of the approximate value of this gradient is particularly focused on, and an improved method, called XFE+ method, is presented. Numerical results in 2D and 3D illustrate the accuracy and the potentiality of this method.RÉSUMÉ. Cet article décrit un modèle numérique d'érosion du sol, qui prend en compte à la fois le fluide dans le sol, considéré comme un milieu poreux, et le fluide extérieur. L'interface entre les deux milieux est représentée à l'aide d'une fonction level-set, et l'érosion est contrôlée par le gradient de la vitesse du fluide. Nous nous concentrons particulièrement sur l'évaluation numérique de ce gradient, et introduisons une méthode, appelée méthode XFE+, pour l'améliorer. Des résultats numériques en 2D et 3D montrent la précision et les potentialités de cette mé-thode.

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“…Then main cause of these ruptures was identified to be related to piping phenomenon that occurred in the foundation soil or in the dams structure. Serviceability of hydraulic infrastructures needs considering vulnerability of soil under the action of seepage flow, [2][3][4]. For unconsolidated soils that are formed with cohesion less assembly of sand particles, the flowing water velocity plays an important role on erosion phenomenon that could happen.…”

Section: Introductionmentioning

confidence: 99%

Modeling the fluid/soil interface erosion in the Hole Erosion Test

Kissi

Vera

Cintas

et al. 2012

MATEC Web of Conferences

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Abstract. Soil erosion is a complex phenomenon which yields at its final stage to insidious fluid leakages under the hydraulic infrastructures known as piping and which are the main cause of their rupture. The Hole Erosion Test is commonly used to quantify the rate of piping erosion. In this work, The Hole Erosion Test is modelled by using Fluent software package. The aim is to predict the erosion rate of soil during the hole erosion test. The renormalization group theory -based k   turbulence model equations are used. This modelling makes it possible describing the effect of the clay concentration in flowing water on erosion. Unlike the usual one dimensional models, the proposed modelling shows that erosion is not uniform erosion along the hole length. In particular, the concentration of clay is found to increase noticeably the erosion rate.

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On the modelling of piping erosion

Cited by 77 publications

References 2 publications

Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena

Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena

Numerical modeling of erosion using an improvement of the extended finite element method

Modeling the fluid/soil interface erosion in the Hole Erosion Test

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