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On the erosion of cohesive granular soils by a submerged jet: a numerical approach

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Abstract

This paper presents an erosion interpretation of cohesive granular materials stressed by an impinging jet based on the results of a micromechanical simulation model. The numerical techniques are briefly described, relying on a two-dimensional Lattice Boltzmann Method coupled with a Discrete Element Methods including a simple model of solid intergranular cohesion. These are then used to perform a parametric study of a planar jet in the laminar regime impinging the surface of granular samples with different degrees of cohesive strength. The results show the pertinence of using a generalized form of the Shields criterion for the quantification of the erosion threshold, which is valid for cohesionless samples, through empirical calibration, and also for cohesive ones. Furthermore, the scouring kinetics are analysed here from the perspective of a self-similar expansion of the eroded crater leading to the identification of a characteristic erosion time and the quantification of the classical erosion coefficient. However, the presented results also challenge the postulate of a local erosion law including erodibility parameters as intrinsic material properties. The paper then reviews the main limitations of the simulation and current interpretation models, and discusses the potential causes for the observed discrepancies, questioning the pertinence of using time-averaged macroscopic relations to correctly describe soil erosion. The paper concludes addressing this question with a complementary study of the presented simulations re-assessed at the particle-scale. The resulting local critical shear stress of single grains reveals a very wide dispersion of the data but nevertheless appears to confirm the general macroscopic trend derived for the cohesionless samples, while the introduction of cohesion implies a significant but systematic quantitative deviation between the microscopic and macroscopic estimates. Nevertheless, the micro data still shows consistently that the critical shear stress does actually vary approximately in linear proportion of the adhesive force.

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Acknowledgements

Z. Benseghier is grateful for the financial support provided by the “Région Sud, Provence-Alpes-Côte d’Azur”. The authors would also like to thank J.-Y. Delenne, F. Lominé, and J. Duriez for fruitful discussions. Centre de Calcul Intensif d’Aix-Marseille is acknowledged for granting access to its high performance computing resources.

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Authors and Affiliations

  1. Mines Saint-Etienne, Univ Lyon, CNRS, UMR 5307 LGF, 42023, Saint-Etienne, France

    Zeyd Benseghier

  2. INRAE, Aix Marseille University, RECOVER, 3275 Route de Cézanne, 13100, Aix-en-Provence, France

    Li-Hua Luu, Stéphane Bonelli & Pierre Philippe

  3. Division 7.2 for Buildings and Structures, BAM, Federal Institute for Materials Research and Testing, Unter den Eichen 78, 12205, Berlin, Germany

    Pablo Cuéllar

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Benseghier, Z., Luu, LH., Cuéllar, P. et al. On the erosion of cohesive granular soils by a submerged jet: a numerical approach. Granular Matter 25, 8 (2023). https://doi.org/10.1007/s10035-022-01289-5

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