Sarlin Wladimir, Morize Cyprien, Sauret Alban, Gondret Philippe
Université Paris-Saclay, CNRS, Laboratoire FAST, F-91405 Orsay, France.
Department of Mechanical Engineering, University of California, Santa Barbara, California 93106, USA.
Phys Rev E. 2021 Dec;104(6-1):064904. doi: 10.1103/PhysRevE.104.064904.
Gravity-driven collapses involving large amounts of dense granular material, such as landslides, avalanches, or rock falls, in a geophysical context, represent significant natural hazards. Understanding their complex dynamics is hence a key concern for risk assessment. In the present work, we report experiments on the collapse of quasi-two-dimensional dry granular columns under the effect of gravity, where both the velocity at which the grains are released and the aspect ratio of the column are varied to investigate the dynamics of the falling grains. At high release velocity, classical power laws for the final deposit are recovered, meaning those are representative of a free-fall-like regime. For sufficiently high aspect ratios, the top of the column undergoes an overall free-fall-like motion. In addition, for all experiments, the falling grains also spread horizontally in a free-fall-like motion, and the characteristic time of spreading is related to the horizontal extension reached by the deposit at all altitudes. At low release velocity, a quasistatic state is observed, with scaling laws for the final geometry identical to those of the viscous regime of granular-fluid flow. The velocity at which the grains are released governs the collapse dynamics. Between these two asymptotic regimes, higher release velocity correlates with smaller impact on the collapse dynamics. The criterion V[over ¯]≥0.4sqrt[gH_{0}], where H_{0} is the initial height of the column, is found for the mean release velocity V[over ¯] not to influence the granular collapse.
在地球物理环境中,涉及大量致密颗粒物质的重力驱动崩塌,如山体滑坡、雪崩或岩石坠落,是重大的自然灾害。因此,了解它们复杂的动力学是风险评估的关键问题。在本研究中,我们报告了在重力作用下准二维干颗粒柱崩塌的实验,其中颗粒释放速度和柱的纵横比都有所变化,以研究下落颗粒的动力学。在高释放速度下,恢复了最终沉积物的经典幂律,这意味着这些幂律代表了类似自由落体的状态。对于足够高的纵横比,柱顶经历整体类似自由落体的运动。此外,对于所有实验,下落颗粒也以类似自由落体的运动水平扩散,扩散的特征时间与沉积物在所有高度达到的水平延伸有关。在低释放速度下,观察到一种准静态状态,最终几何形状的标度律与颗粒流体流动的粘性状态相同。颗粒的释放速度控制着崩塌动力学。在这两种渐近状态之间,较高的释放速度与对崩塌动力学的较小影响相关。发现当平均释放速度(\overline{V})满足(\overline{V}\geq0.4\sqrt{gH_{0}})(其中(H_{0})是柱的初始高度)时,平均释放速度不会影响颗粒崩塌。