Pile density is a control parameter of sand avalanches

Abstract

Centrifuge experimentation (10–1000 m/${\mathrm{s}}^2$) on sand avalanches has shown that (i) grain cohesion and elasticity are negligible; (ii) the avalanche size δθ and the maximum angle of repose ${\mathrm{\theta }}_{\mathit{m}}$ depend on the initial pile density d; and (iii) the pile surface evolves spontaneously towards an asymptotic state after a few avalanches, this state being characterized by a mean surface angle equal to the macroscopic friction angle φ and a mean avalanche size equal to 1.7°. This demonstrates that the density d is a controlling parameter of the avalanche process. These results are compatible with a unique internal friction angle φ with φ=34°; φ corresponds to the value measured with other soil-mechanics devices; however, φ fluctuates within 2° from pile to pile or test to test. These data are also consistent with a dilatancy effect which depends on density, but the existence of at least one other parameter controlling the avalanche size has been also proved.