Snow mechanical property variability at the slope scale – implication for snow mechanical modelling

Francis Meloche, Francis Gauthier, Alexandre Langlois
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Abstract

Abstract. Snow avalanches represent a natural hazard to infrastructure and backcountry recreationists. Risk assessment of avalanche hazard is difficult due to the sparse nature of available observations informing on snowpack mechanical and geophysical properties and overall stability. The spatial variability of these properties also adds complexity to decision-making and route finding in avalanche terrain for mountain users. Snow cover models can simulate snow mechanical properties with good accuracy at fairly good spatial resolution (around 100 m). However, monitoring small-scale variability at the slope scale (5–50 m) remains critical, since slope stability and the possible size of an avalanche are governed by that scale. To better understand and estimate the spatial variability at the slope scale, this work explores links between snow mechanical properties and microtopographic indicators. Six spatial snow surveys were conducted in two study areas across Canada. Snow mechanical properties, such as snow density, elastic modulus and shear strength, were estimated from high-resolution snow penetrometer (SMP) profiles at multiple locations over several studied slopes, in Rogers Pass, British Columbia, and Mt. Albert, Québec. Point snow stability metrics, such as the skier crack length, critical propagation crack length and a skier stability index, were derived using the snow mechanical properties from SMP measurements. Microtopographic indicators, such as the topographic position index (TPI), vegetation height and proximity, wind-exposed slope index, and potential radiation index, were derived from unoccupied aerial vehicle (UAV) surveys with sub-metre resolution. We computed the variogram and the fractal dimension of the snow mechanical properties and stability metrics and compared them. The comparison showed some similarities in the correlation distances and fractal dimensions between the slab thickness and the slab snow density and also between the weak layer strength and the stability metrics. We then spatially modelled snow mechanical properties, including point snow stability, using spatial generalized additive models (GAMs) with microtopographic indicators as covariates. The use of covariates in GAMs suggested that microtopographic indicators can be used to adequately estimate the variation in the snow mechanical properties but not the stability metrics. We observed a difference in the spatial pattern between the slab and the weak layer that should be considered in snow mechanical modelling.
斜坡尺度上的雪力学特性变化--对雪力学建模的影响
摘要雪崩是对基础设施和野外休闲者的一种自然危害。由于有关雪堆机械和地球物理特性以及整体稳定性的观测资料非常稀少,因此很难对雪崩危害进行风险评估。这些特性的空间可变性也增加了山区使用者在雪崩地形中做出决策和寻找路线的复杂性。雪盖模型能够以相当高的空间分辨率(约 100 米)精确模拟雪的机械特性。然而,监测斜坡尺度(5-50 米)的小尺度变化仍然至关重要,因为斜坡稳定性和雪崩的可能规模都受该尺度的影响。为了更好地了解和估计斜坡尺度的空间变化,这项研究探索了雪的机械特性与微地形指标之间的联系。在加拿大的两个研究地区进行了六次空间积雪调查。在不列颠哥伦比亚省罗杰斯山口和魁北克省阿尔伯特山的几个研究斜坡上的多个地点,通过高分辨率雪穿透仪(SMP)剖面估算了雪的机械特性,如雪密度、弹性模量和剪切强度。点雪稳定性指标,如滑雪者裂缝长度、临界传播裂缝长度和滑雪者稳定性指数,都是利用 SMP 测量得出的雪力学特性推导出来的。微地形指标,如地形位置指数 (TPI)、植被高度和邻近度、风暴露坡度指数和潜在辐射指数,则是通过无人驾驶飞行器 (UAV) 以亚米分辨率进行的勘测得出的。我们计算了雪的机械特性和稳定性指标的变异图和分形维度,并对它们进行了比较。比较结果表明,雪板厚度和雪板密度之间的相关距离和分形维数,以及薄弱层强度和稳定性指标之间的相关距离和分形维数具有一定的相似性。然后,我们利用空间广义加法模型(GAMs),以微地形指标为协变量,对雪的机械特性(包括点雪稳定性)进行了空间建模。在 GAMs 中使用协变量表明,微地形指标可用于充分估计积雪机械特性的变化,但不能用于估计稳定性指标的变化。我们观察到板层和薄弱层之间的空间模式存在差异,这一点应在雪力学建模中加以考虑。
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