Abstract In this paper, we introduce the μ(I) rheology into the traditional depth-averaged continuum framework and include the effect of grain size when describing the normal stresses of a flowing avalanche. We also develop a set of experimental installations for granular flow and use the installations to simulate laboratory avalanches: sand initially accumulates in various geometries, is then released and slides on inclined planes at different angles of inclination, and is finally deposited on a horizontal plane. The experimental materials are sand with different particle sizes. With the combination of the experimental and simulation results, the effects of particle size on the deposit configuration, runout distance, and deposit depth are revealed. The effect on the runout distance decreases with the angle of inclination, while the effect on the deposit depth is not obvious. Other factors such as the initial accumulation geometry and frictional parameters of the μ(I) rheology are carefully considered and studied.

中文翻译：

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粒度对小规模雪崩的影响和基于 μ(I) 流变学的模拟

摘要 在本文中，我们将 μ(I) 流变学引入到传统的深度平均连续体框架中，并在描述流动雪崩的法向应力时包括晶粒尺寸的影响。我们还开发了一套颗粒流实验装置，并使用这些装置来模拟实验室雪崩：沙子最初以各种几何形状堆积，然后被释放并以不同的倾斜角度在斜面上滑动，最后沉积在水平面上。实验材料为不同粒径的砂。结合实验和模拟结果，揭示了颗粒尺寸对沉积物配置、跳动距离和沉积物深度的影响。对跳动距离的影响随着倾角的增加而减小，而对沉积深度的影响不明显。其他因素，例如μ（I）流变学的初始累积几何形状和摩擦参数，都经过仔细考虑和研究。