Abstract

Here we investigate the physical mechanisms behind the surface erosion of a cohesive granular soil induced by an impinging jet by means of numerical simulations coupling fluid and grains at the microscale. The 2D numerical model combines the Discrete Element and Lattice Boltzmann methods (DEM-LBM) and accounts for the granular cohesion with a contact model featuring a paraboloidal yield surface. Here we review first the hydrodynamical conditions imposed by the fluid jet on a solid granular packing, turning then the attention to the impact of cohesion on the erosion kinetics. Finally, the use of an additional subcritical debonding damage model based on the work of Silvani and co-workers provides a novel insight into the internal solicitation of the cohesive granular sample by the impinging jet.

Highlights

  • The physical phenomenon of surface erosion afflicts often the earthen hydraulic constructions such as earth-dams and levees [1]

  • We investigate the physical mechanisms behind the surface erosion of a cohesive granular soil induced by an impinging jet by means of numerical simulations coupling fluid and grains at the microscale

  • We review first the hydrodynamical conditions imposed by the fluid jet on a solid granular packing, turning the attention to the impact of cohesion on the erosion kinetics

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Summary

Introduction

The physical phenomenon of surface erosion afflicts often the earthen hydraulic constructions such as earth-dams and levees [1]. A simple erosion law is thereby commonly adopted as ‫݇ = ܧ‬ௗ(߬ − ߬௖) where E is the erosion rate and τ is the hydraulic shear stress This implies a description of the erosion evolution with one single variable, the shear stress, which is averaged over time and space aiming to represent the hydrodynamic conditions at the fluid-solid interface. This is a rough simplification of the complex conditions at the surface under an impinging jet, where the shear stress should be zero right at the impingement point. The erosion mechanisms within the granular sample at the onset of erosion are briefly discussed in the light of preliminary results with the extended damage model

Numerical methods
Solid mechanics
Intergranular cohesion
Fluid dynamics
Jet hydrodynamics at the soil surface
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