<p>Suffusion is characterized by a migration of the fine particles within a given volume of soil under the effect of flow. This complex phenomenon involves simultaneous detachment, transport and possible filtration of the fine fraction. With the objective to reproduce the amplitude and the kinetics of the suffusion process within a small scale model of dike, a poro-elastic model accounting for suffusion is implemented in a FEM code. The rate of eroded mass is modeled by a constitutive relation named the energy-based law [1], which is inspired from the energy-based approach [2]. This relationship uses two key parameters that describes the end of the suffusion process: the erosion resistance index and the maximum cumulative expended volumetric energy. An additional parameter named the smoothing time, which controls the kinetics of the suffusion process, is used to account for the history of the power dissipated by the flow. These three parameters are calibrated on a first specimen which was experimentally suffused up to a stable state of erodibility.</p><p>Next, a small scale model of dike is simulated using the poro-elastic model extended to suffusion. This dike model, which was experimentally tested by Rochim [3], is assumed to be initially homogeneous and characterized by an isotropic permeability. To illustrate the capability of the energy-based relationship in tackling the suffusion process, the FEM results using the energy-based relationship are compared with the experimental measurements. The dike behavior is investigated in terms of downstream flow rate, total water head at specific pressure ports, cumulative eroded mass and post-suffusion spatial distribution of the percentage of fines. The energy-based approach is able to predict the total amount of cumulative eroded mass, the correct magnitude of the percentage of fines variation and a smoother version of the spatial distribution of the fine particles at the end of the suffusion process.</p><p><strong>REFERENCES</strong></p><ul><li>[1] Kodieh, A., Gelet, R., Marot, D., & Fino, A. Z. (2020). A study of suffusion kinetics inspired from experimental data: comparison of three different approaches. Acta Geotechnica, 1-19.</li>
<li>[2] Marot, D., Le, V. D., Garnier, J., Thorel, L. and Audrain, P., 2012. Study of scale effect in an internal erosion mechanism: centrifuge model and energy analysis. European Journal of Environmental and Civil Engineering, 16(11), 1-19.</li>
<li>[3] Rochim A., Characterization of suffusion susceptibility of granular soils. PhD thesis, Universit&#233; de Nantes, 2015.</li>
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