Abstract
A continuous exchange of particles between an erodible substrate and the granular flow above it occurs during almost all geophysical events involving granular material, such as snow avalanches, debris flows and pyroclastic flows. The balance between eroded and deposited material can drastically influence the runout distance and duration of the flow. In certain conditions, a perfect balance between erosion and deposition may occur, leading to the steady propagation of material, in which the flow maintains its shape and velocity throughout. It is shown experimentally how the erosion-deposition process in dense flows of sand (160-200 μm) on an erodible bed of the same material produces steadily propagating avalanches that deposit subtle levees at their lateral extent. Moreover, it is shown in this paper, by using two colours of the same sand, that although the avalanche is propagating at constant velocity and maintaining a constant shape, the grains that are initially released are deposited along the flow path and that the avalanche will eventually be composed entirely of particles that are eroded from the bed. Different steady travelling wave regimes are obtained depending on the slope angle, thickness of the erodible layer and the amount of material released. Outside of the range of parameters where steady travelling waves form, the avalanches loose mass and decay if the initial amount of material released is too small, or, if the initial release is too large, they re-adjust to a steadily propagating regime by shedding material and breaking into smaller avalanches at its rear side. Numerical simulations are performed using a shallow-water-like avalanche model together with a friction law that captures the erosion-deposition process in flowing to static regimes and a transport equation for the interface between layers of the two colours. The characteristic behaviours observed in the experiments are qualitatively reproduced. Specifically, the complex processes such as the exchange of particles leading to a change in colour of the avalanche and the formation of lateral levees are captured by the model. Finally a comparison is made with deposits in lunar craters, which are interpreted as closely analogous to the deposits formed in our laboratory experiments.
Highlights
Rock avalanches and pyroclastic flows are some common examples of dense, geophysical, granular flows that occur on relatively steep slopes
This paper focuses on small-scale experiments that exhibit the exchange and entrainment of particles between an erodible layer of grains and a steadily propagating granular avalanche
As in previous studies (Pouliquen and Forterre, 2002; Mangeney et al, 2010; Edwards et al, 2017), the presence of an erodible layer considerably increases the runout distance of granular flows, i.e. erodible layers produce an apparent reduction in friction
Summary
Rock avalanches and pyroclastic flows are some common examples of dense, geophysical, granular flows that occur on relatively steep slopes. Numerous laboratory experiments of granular flows on erodible beds have been performed using, for example, a column collapse configuration (Mangeney et al, 2010; Farin et al, 2014), a constant inflow that develops into erosiondeposition waves (Edwards and Gray, 2015), or the release of a small number of grains on a stationary layer of the same material at a steep inclination (Pouliquen and Forterre, 2002; Edwards et al, 2017) All of these studies showed a significant increase in the runout distance and flow duration in the presence of an erodible layer. Numerical simulations are shown to capture the various avalanche behaviours and the exchange of particles with good qualitative agreement
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