Modeling of Interfacial Erosion

Bonelli, Stéphane; Golay, Frédéric; Mercier, Fabienne

doi:10.1002/9781118561737.ch6

Cited by 8 publications

(11 citation statements)

References 33 publications

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“…The numerical model was first validated for piping erosion due to a laminar flow in two-dimensional geometry with a constant pressure drop. The results agreed very well with the analytical prediction [4], with a relative error of \2 %. Then, regarding the piping erosion of cohesive soils by turbulent flow at constant flow rate, the numerical results were compared to the analytical model developed by Bonelli et al [2], once again with good agreement for the asymptotic values and the erosion kinetics.…”

Section: Resultssupporting

confidence: 81%

“…6. The orders of magnitude of erosion kinetics deduced by Bonelli et al [4] in their study of diphasic flows with erosion and transport allow several simplifications. First, as the erosion kinetics is slow in comparison with the typical fluid velocity, the flow can be considered as steady with respect to the timescale of erosion.…”

Section: Introductionmentioning

confidence: 99%

“…The resolution of the flow equations can therefore be decoupled from the resolution of the interface equations. Then, considering the orders of magnitude of the flow parameters used in the analytical model of Bonelli et al [4], the assumption of a diluted flow allows ignoring the presence of eroded particles within the flow. Finally, the influence of the flow within the solid phase is neglected as a result of the assumption of very low soil permeability.…”

Section: Introductionmentioning

confidence: 99%

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Numerical modelling of concentrated leak erosion during Hole Erosion Tests

Mercier

Bonelli

Golay³

et al. 2014

Acta Geotech.

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This study focuses on the numerical modelling of the concentrated leak erosion of a cohesive soil by turbulent flow in axisymmetrical geometry, using the Hole Erosion Test (HET). The numerical model is based on the adaptive remeshing of the water/soil interface to ensure the accurate description of the mechanical phenomena occurring near the soil/water interface. The erosion law governing the interface motion is based on two erosion parameters: critical shear stress and the erosion coefficient. The model is first validated in the case of 2D piping erosion caused by laminar flow. Then, the numerical results are compared with the interpretation model of the HET. Three HETs performed on different soils are modelled with rather good accuracy. Lastly, a parametric analysis of the influence of the erosion parameters on erosion kinetics and the evolution of the channel diameter is performed. Finally, after this validation by comparison with both the experimental results and the interpretation of Bonelli et al.[2], our model is now able to accurately reproduce the erosion of a cohesive soil by a concentrated leak. It also provides a detailed description of all the averaged hydrodynamic flow quantities. This detailed description is essential in order to achieve better understanding of erosion processes.

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Section: Resultssupporting

confidence: 81%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical modelling of concentrated leak erosion during Hole Erosion Tests

Mercier

Bonelli

Golay³

et al. 2014

Acta Geotech.

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“…The intensity of erosion is characterised by the erosion number (Bonelli and Brivois 2008;Bonelli et al 2012) in the same way as the Reynolds Number is used to characterise flow intensity. The erosion number is equal to ρk d V, where ρ is the density of the soil (kg.m -3 ), k d (m 2 .s/kg) is the erosion coefficient and V is the average velocity of the flow causing erosion and transport.…”

Section: Modelling Flow/erosion Couplingmentioning

confidence: 99%

“…The numerical results obtained are then compared to the experimental measurements that have been used to identify the erosion parameters. The system of equations used relies on the works of Bonelli and Brivois (2008), Bonelli et al (2012), Golay et al (2011). These works have shown that when the flow is strong enough, and when the soil is cohesive, erosion is sufficiently slow in comparison to the flow to allow neglecting the diphasic character of the phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Comparison of Computational Fluid Dynamic Simulations with Experimental Jet Erosion Tests Results

Mercier¹,

Bonelli

Pinettes³

et al. 2014

J. Hydraul. Eng.

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The Jet Erosion Test (JET) is an experimental device increasingly used to quantify the resistance of soils to erosion. This resistance is characterised by two geotechnical parameters: the critical shear stress and the erosion coefficient. The JET interpretation model of Hanson and Cook (2004) provides an estimation of these erosion parameters. But Hanson's model is simplified, semi-empirical and several assumed hypotheses can be discussed. Our aim is to determine the relevance of the JET interpretation model. Therefore, we developed a numerical model able to predict the erosion of a cohesive soil by a turbulent flow. Our numerical model is first validated on a benchmark: erosion of an erodible pipe by a laminar flow. The numerical results are satisfactorily compared with the theoretical solution. Then, three JETs are modelled numerically, with values of erosion parameters obtained experimentally. A parametric study is also conducted to validate the accuracy of the numerical results and a good agreement is observed. The erosion parameters found experimentally permit to predict numerically the evolution of the erosion pattern within good accuracy. This result contributes to the validation of the JET's semi-empirical model. The numerical model also gives a complete description of the flow, including vortices which can be observed in the cavity created by erosion. The whole erosion pattern evolution is given by the numerical results. Our numerical model gives information that is not available otherwise.

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