Slab Avalanche Modeling

F. Louchet
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Abstract

The chapter starts with a review of a few unfounded arguments sometimes used to account for snow slab instability, and often resulting from the application of mechanical laws that are invalid in a granular, brittle, and healable material like snow. Statistical aspects are investigated using a two-threshold cellular automaton, one for basal instability, and the second one for crown crack opening. The results reproduce the power-law size distribution of starting zone sizes mentioned in chapter 4, and validate a “4-step” triggering scheme made of successive initiation and expansion events for both the basal crack and the crown crack. The possible sintering of collapsed weak layers is then analyzed. It is shown to flow as a slurry for shear strain rates less than a predetermined threshold, or to sinter in the opposite case, which provides a “joker” to any successful “4-step” scheme, turning an incipient avalanche into a simple “whumpf”.
板状雪崩模型
本章首先回顾了一些毫无根据的论点,这些论点有时被用来解释雪板的不稳定性,通常是由于应用力学定律而导致的,而这些定律在像雪这样的颗粒状、脆性和可愈合的材料中是无效的。统计方面的研究使用双阈值元胞自动机,一个为基础不稳定性,第二个为冠裂纹打开。结果再现了第4章中起始区尺寸的幂律分布,并验证了基裂和顶裂连续起裂和扩展事件构成的“4步”触发方案。分析了坍塌弱层可能发生的烧结现象。当剪切应变率低于预定阈值时,它会以泥浆的形式流动,反之则会烧结,这给任何成功的“四步法”方案提供了一个“玩笑”,将初期的雪崩变成了简单的“轰击”。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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