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Internal erosion causes dam failures, sinkholes, and clogging of wells. It is initiated when groundwater flow induces critical hydraulic forces to detach soil particles from the grain skeleton. This contribution focuses on the particle transport itself and adopts a continuum mechanical model [2].
Continuum-mechanical models do not resolve individual particle trajectories; however, they capture the dominant physical mechanisms of particle transport and are therefore suitable for field-scale applications. The proposed framework includes an immobile soil skeleton, the pore fluid (groundwater), and the transported particles.
The motion of particles in continuum mechanical modelling is mostly quantified by the particles’ concentration within the fluid and the interaction is governed by a mixture’s viscosity. The motion of both constituents is equal [3]. Alternatively, the fluid’s motion is given by Darcy’s law and the particles’ motion can be derived from it [1]. The last approach neglects the influence of the particles to the fluid.
In this study, the coupling between the motion of the fluid and particles is examined within an iterative framework. A one-dimensional, analytical solution is derived in which the balance of momentum of each constituent is solved iteratively to quantify both fluid and particle motion. Thus, the influence of the particles on the fluid is regarded. The results demonstrate that increasing particle concentrations significantly alter the fluid’s motion.
| References | [1] Askamp, T.: Ein Modell zur Beschreibung innerer Erosion – Grundzüge des mechanischen Modells und Ansätze zum Massenproduktionsterm. Ph.D. thesis, Universität Duisburg-Essen, Essen (2024) [2] Buscher, S; Perau, E. (2025): Interaction Forces caused by Relative Movement in a Continuum Mechanical Model for Suffusion, In: Yao, J., Yang, Y., Wang, W., Sun, H., Zhang, L., Zhang, K. (eds) Progress and Challenge of Porous Media: Proceedings of the 16th Annual Meeting Conference on Porous Media. InterPore 2024. Springer, Singapore. [3] Yang, J., Yin, Z.Y., Laouafa, F., Hicher, P.Y.: Modeling coupled erosion and filtration of fine particles in granular media. Acta Geotech. 14(6), 1615–1627 (2019) |
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| Country | Germany |
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