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Article Dans Une Revue International Journal for Numerical and Analytical Methods in Geomechanics Année : 2019

Modelling of internal erosion based on mixture theory: General framework and a case study of soil suffusion

Résumé

A general thermo-hydro-mechanical framework for the modelling of internal erosion is proposed based on the theory of mixtures applied to two-phase porous media. The erodible soil is partitioned in two phases: one solid phase and one fluid phase. The solid phase is composed of non-erodible grains and erodible particles. The fluid phase is composed of water and fluidized particles. Within the fluid phase, species diffuse. Across phases, species transfer. The modelling of internal erosion is contributed directly by mass transfer from the solid phase toward the fluid phase. The constitutive relations governing the thermomechanical behaviour, generalized diffusion and transfer are structured by the dissipation inequality. The particular case of soil suffusion is investigated with a focus on constitutive laws. A new constitutive law for suffusion is constructed based on thermodynamic condition and experimental investigations. This erosion law is linearly related to the power of seepage flow and to the erosion resistance index. Owing to its simplicity, this law tackles the overall trend of the suffusion process and permits the formulation of an analytical solution. This new model is then applied to simulate laboratory experiments, by both analytical and numerical methods. The comparison shows that the newly developed model, which is theoretically consistent, can reproduce correctly the overall trend of the cumulated eroded mass when the permeability evolution is small. In addition, the results are provided for four different materials, two different specimen sizes and various hydraulic loading paths to demonstrate the applicability of the new proposed law.
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Dates et versions

hal-04167972 , version 1 (21-07-2023)

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Tuan‐anh Bui, Rachel Gelet, Didier Marot. Modelling of internal erosion based on mixture theory: General framework and a case study of soil suffusion. International Journal for Numerical and Analytical Methods in Geomechanics, 2019, 43 (15), pp.2407-2430. ⟨10.1002/nag.2981⟩. ⟨hal-04167972⟩
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