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Summary and Conclusion 总结与结语
Pub Date : 2020-12-17 DOI: 10.1093/oso/9780198866930.003.0008
F. Louchet
A number of well-established physical and mechanical laws are often improperly applied to snow, which is a very particular medium regarding compacity, viscosity, friction, rupture, etc. Snow is described as a changeable granular and porous material, and analyzed using a combination of statistical and deterministic approaches, with the help of the theory of dynamical systems. Specific models are developed for slab, superficial, and full-depth avalanches. The series of successive physical mechanisms responsible for slab avalanche triggering is now perfectly known, involving weak layer collapse and expansion, in which possible healing may abort the whole process. Loose snow avalanches are reminiscent of Bak’s sand pile model, and full-depth avalanches are modeled in terms of snow-water percolation. The specific arrest mechanisms are analyzed. The present analysis should help in taking wise decisions in the face of unexpected situations. The future of snow avalanches is explored in the context of present climate warming.
许多公认的物理和机械定律常常不适用于雪,雪是一种非常特殊的介质,涉及到密度、粘度、摩擦、破裂等。雪被描述为一种可变的颗粒和多孔材料,并在动力系统理论的帮助下使用统计和确定性方法的组合进行分析。针对板状、浅表和全深度雪崩建立了具体的模型。导致板状雪崩触发的一系列连续的物理机制现在已经完全了解,包括弱层崩塌和膨胀,其中可能的愈合可能中止整个过程。松散的雪崩让人想起Bak的沙堆模型,而全深度雪崩是根据雪水渗透来建模的。分析了具体的阻滞机理。目前的分析应有助于在面对意外情况时作出明智的决定。在当前气候变暖的背景下,探讨了雪崩的未来。
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引用次数: 0
Snow, an Intriguing, Complex, and Changeable Solid 雪,一种耐人寻味、复杂多变的固体
Pub Date : 2020-12-17 DOI: 10.1093/oso/9780198866930.003.0002
F. Louchet
This chapter provides basics of snow structure and topology. As snow is a complex arrangement of ice crystals, themselves found in oodles of geometrical shapes, sizes, and formation mechanisms, we essentially focus on those that are more directly involved in avalanche release. Three snow peculiarities are also outlined. Snow being made of ice, it inherits its particular propensity to melt under external pressure. Since snow cover results from accumulation of snowflakes, it may be considered as a granular material, with quite original properties due to the unusually large grain surface vs volume ratio, and to their related tendency to change shapes and to heal. Snow being also a mixture of ice, air, and water, the topological concept of percolation is of interest to deal with stress distribution in the snow cover, and is briefly discussed.
介绍雪的基本结构和拓扑学。由于雪是冰晶的复杂排列,它们本身具有多种几何形状、大小和形成机制,因此我们主要关注那些与雪崩释放更直接相关的冰晶。文中还概述了雪的三个特点。雪是由冰构成的,它继承了在外部压力下融化的特殊倾向。由于积雪是雪花堆积的结果,它可以被认为是一种颗粒状物质,由于其异常大的颗粒表面与体积比,以及它们相关的形状变化和愈合趋势,具有相当原始的性质。雪也是冰、空气和水的混合物,渗透的拓扑概念对处理积雪中的应力分布很有兴趣,并简要讨论了这一点。
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引用次数: 0
Snow and Avalanches in a Climate Warming Context 气候变暖背景下的雪和雪崩
Pub Date : 2020-12-17 DOI: 10.1093/oso/9780198866930.003.0007
F. Louchet
We first show why current climate forecasting techniques, based on continuous extrapolations, are unreliable in the case of complex arrangements of interacting entities like the atmosphere–ocean system. By contrast, according to the well-established theory of dynamical systems, the observed present increase of fluctuations (as heat waves, droughts, tornadoes, forest fires) is a warning signal for an impending discontinuous climate tipping. A comparison with paleoclimatic events suggests that the atmospheric temperature would be likely to increase in this case by 6–9 °C in the next few years. In the transient period, the succession of heavy snow-falls and thawing episodes would favor spontaneous full-depth avalanches with larger run-out distances. After tipping into a new equilibrium, significantly warmer temperatures would shift snow-covered areas towards higher altitudes, probably by more than 1000 m, resulting in closure of a number of ski resorts. Glacier retreat and permafrost thawing would also enhance both ice and rock-fall frequency.
我们首先展示了为什么目前基于连续外推的气候预报技术在大气-海洋系统等相互作用实体的复杂安排下是不可靠的。相比之下,根据公认的动力系统理论,目前观测到的波动增加(如热浪、干旱、龙卷风、森林火灾)是即将发生的不连续气候突变的警告信号。与古气候事件的比较表明,在这种情况下,未来几年大气温度可能会升高6-9 °C。在过渡时期,连续的大雪和融化事件将有利于自发的全深度雪崩,其运行距离更大。在进入新的平衡状态后,明显变暖的气温将使积雪覆盖的地区向更高的海拔移动,可能超过1000 米,导致许多滑雪胜地关闭。冰川退缩和永久冻土融化也会增加冰和岩石坠落的频率。
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引用次数: 0
Slab Avalanche Release: Data and Field Experiments 板状雪崩释放:数据和野外实验
Pub Date : 2020-12-17 DOI: 10.1093/oso/9780198866930.003.0004
F. Louchet
Starting zone sizes are shown to obey statistical laws, named “power laws”, stating that the recurrence time of an event of a given size increases in a precise proportion with its size. Extrapolation of such laws fitted on small-sized events allows a determination of recurrence times for big and uncommon events. The key role of the weak layer (WL) failure is illustrated by “Propagation Saw Tests” (PST), showing that the collapse of a WL zone of a few decimeters may act as a switch, triggering a very large scale spontaneous WL failure. However, the consequences of such a collapse may be damped down by sintering of broken WL grains. We analyze bridging indexes, often used to estimate WL resistance to collapse under loading. We define a new bridging index, extending the usual one to the case of elastic bending, and we discuss the validity domains of both of them.
起始区域的大小服从被称为“幂律”的统计规律,说明给定大小的事件的重复时间与它的大小成精确比例地增加。将这些定律外推到小型事件上,就可以确定大型和不常见事件的重现时间。“传播锯试验”(PST)说明了弱层(WL)破坏的关键作用,表明几分米的WL区坍塌可能充当开关,引发非常大规模的自发WL破坏。然而,这种坍塌的后果可以通过烧结破碎的WL晶粒来减轻。我们分析了桥接指数,通常用来估计WL在荷载作用下的抗倒塌能力。我们定义了一个新的桥接指标,将通常的桥接指标推广到弹性弯曲的情况,并讨论了它们的有效域。
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引用次数: 0
Superficial and Full-Depth Avalanches 浅表和全深度雪崩
Pub Date : 2020-12-17 DOI: 10.1093/oso/9780198866930.003.0006
F. Louchet
This chapter is dedicated to two geometrically extreme and opposite cases of snow avalanches, respectively qualified as loose snow and full-depth ones. A general feature is the absence of a weak layer, which eliminates any basal crack initiation by collapse. The former type consists of superficial flows of low-cohesion snow grains, whereas the latter essentially involves the whole snow cover gliding on the bare ground. Superficial avalanches are often released on high-angle slopes, gradually gathering new snow grains as they propagate in fan-like shapes. The smallest ones are known as “sluffs”. Their release mechanism is reminiscent of Bak’s sand pile described in appendix A. Different types of full-depth avalanches can be defined in terms of water percolation through the snow cover or at the snow/ground interface. They correspond to different release processes. Their flow and arrest mechanisms are also analyzed in terms of grain sintering in a granular fluid.
本章专门讨论两种几何极端和相反的雪崩情况,分别称为松散雪和全深度雪。一个普遍的特征是没有弱层,这消除了任何由坍塌引起的基底裂缝。前一种类型是低黏结力雪粒的表层流动,而后一种类型基本上是整个积雪在裸露地面上滑动。表面的雪崩通常在高角度的斜坡上释放,当它们以扇形传播时,逐渐聚集新的雪粒。最小的被称为“sluffs”。它们的释放机制让人想起附录a中描述的巴克沙堆。不同类型的全深度雪崩可以根据水通过积雪或在雪/地面界面的渗透来定义。它们对应于不同的发布过程。从颗粒流体烧结的角度分析了它们的流动和阻滞机理。
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引用次数: 0
Deformation, Fracture, and Friction Processes 变形、断裂和摩擦过程
Pub Date : 2020-12-17 DOI: 10.1093/oso/9780198866930.003.0003
F. Louchet
The main mechanical and physical quantities and concepts ruling deformation, fracture, and friction processes are recalled, with particular attention paid to the simplicity of the analysis, but without betraying the scientific validity of the arguments. We particularly discuss the difference between between elastic and plastic deformation, and quasistatic and dynamic loadings, essential in avalanche triggering mechanisms. The physical origin of Griffith’s rupture criterion that rules both fracture nucleation and propagation, and the transition between brittle and ductile failure processes, is thoroughly discussed. We also explain the physical meaning of the classical Coulomb’s friction law, showing why it can hardly apply to a non-conventional porous, brittle, and healable solid like snow.
回顾了决定变形、断裂和摩擦过程的主要力学和物理量和概念,特别注意分析的简单性,但不背叛论点的科学有效性。我们特别讨论了在雪崩触发机制中必不可少的弹性和塑性变形以及准静态和动态加载之间的区别。深入讨论了格里菲斯断裂准则的物理起源,该准则规定了断裂的形核和扩展,以及脆性和韧性破坏过程之间的过渡。我们还解释了经典库仑摩擦定律的物理意义,说明了为什么它很难适用于像雪这样的非常规多孔、易碎和可愈合的固体。
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引用次数: 0
Slab Avalanche Modeling 板状雪崩模型
Pub Date : 2020-12-17 DOI: 10.1093/oso/9780198866930.003.0005
F. Louchet
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”.
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”。
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引用次数: 0
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Snow Avalanches
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