Abstract
Internal erosion is the interaction of micro-scale hydraulic and mechanic processes taking place within the soil structure leading to macro-scale damages causing failures of whole constructions. While the geometrical and hydraulic conditions on the macro-scale supporting erosion are well investigated, the processes involved in the onset and continuation of erosion, the conditions influencing its temporal evolution are not well understood. The investigation of the processes involved in internal erosion requires a bijective or one-to-one approach with simultaneously implemented physical experiments and computational modelling on both relevant scales, micro- or pore-scale and macro- or continuum-scale. The aim of this approach is to accomplish an improved understanding of the underlying physics to be able to transfer this new knowledge into computational models enabling the solving of problems on the technical scale.
Keywords
- Hydraulic Conductivity
- Particle Image Velocimetry
- Light Emit Diode
- Lattice Boltzmann Method
- Discrete Element Model
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Bonelli, S. (ed.): Erosion of Geomaterials. Wiley (2012)
Chapuis, R.P., Aubertin, M.: On the use of the Kozeny Carman equation to predict the hydraulic conductivity of soils. Can. Geotech. J. 40(3), 616–628 (2003)
Steeb, H., Diebels, S., Vardoulakis, I.: Modeling internal erosion in porous media. Geotech. Spec. Publ. 157 (2007)
Vardoulakis, I.: Fluidisation in artesian flow conditions: hydromechanically unstable granular media. Géotechnique 54(3), 165–177 (2004)
Scheuermann, A., Vardoulakis, I., Papanastasiou, P., Stavropoulou, M.: A sand erosion problem in axial flow conditions on the example of contact erosion due to horizontal groundwater flow. In: IUTAM Symposium on Theoretical and Numerical Methods in Continuum Mechanics of Porous Materials, pp. 169–175. Springer Netherlands (2001)
Mercier, F., Bonelli, S., Golay, F., Anselmet, F., Philippe, P., Borghi, R.: Numerical modelling of concentrated leak erosion during Hole Erosion Tests. Acta Geotech. 10(3), 319–332 (2015)
Muhlhaus, H., Gross, L., Scheuermann, A.: Sand erosion as an internal boundary value problem. Acta Geotech. 10(3), 333–342 (2015)
Harshani, H.M.D., Galindo-Torres, S.A., Scheuermann, A., Muhlhaus, H.B.: Micro-mechanical analysis on the onset of erosion in granular materials. Philos. Mag. 95(28–30), 3146–3166 (2015)
Scheuermann, A.: Determination of porosity distributions of water saturated granular media using spatial time domain reflectometry (spatial TDR). Geotech. Test. J. 35(3), 441–450 (2012)
Scheuermann, A., Muehlhaus, H.B., Bittner, T., Bieberstein, A.: Measurement of porosity distributions during erosion experiments using spatial time domain reflectometry (spatial TDR). In: 6th International Conference on Scour and Erosion (ICSE-6), pp. 94–101 (2012)
Bittner, T., Bore, T., Wagner, N., Karlovsek, J., Scheuermann, A.: Experimental investigation of the dielectric properties of soil under hydraulic loading. Meas. Sci. Technol. (2016)
Andrade, J.E., Avila, C.F., Hall, S.A., Lenoir, N., Viggiani, G.: Multiscale modeling and characterization of granular matter: from grain kinematics to continuum mechanics. J. Mech. Phys. Solids 59(2), 237–250 (2011)
To, H.D., Torres, S.A.G., Scheuermann, A.: Sequential sphere packing by trilateration equations. Granul. Matter (2016)
Galindo-Torres, S.A., Scheuermann, A., Li, L.: Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media. Phys. Rev. E 86(4), 046306 (2012)
Galindo-Torres, S.A., Scheuermann, A., Mühlhaus, H.B., Williams, D.J.: A micro-mechanical approach for the study of contact erosion. Acta Geotech. 10(3), 357–368 (2015)
Budwig, R.: Refractive index matching methods for liquid flow investigations. Exp. Fluids 17(5), 350–355 (1994)
Harshani, H.M.D., Galindo-Torres, S.A., Scheuermann, A., Muehlhaus, H.: Experimental study of porous media using hydro-gel beads and LED based PIV. Meas. Sci. Technol. (accepted 11 Nov 2016) (2016)
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Scheuermann, A. et al. (2017). Physical and Mathematical Modeling of Erosion Processes Across the Scales. In: Papamichos, E., Papanastasiou, P., Pasternak, E., Dyskin, A. (eds) Bifurcation and Degradation of Geomaterials with Engineering Applications. IWBDG 2017. Springer Series in Geomechanics and Geoengineering. Springer, Cham. https://doi.org/10.1007/978-3-319-56397-8_73
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DOI: https://doi.org/10.1007/978-3-319-56397-8_73
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