Modeling the Link Between Air Convection and the Occurrence of Short‐Term Permafrost in a Low‐Altitude Cold Talus Slope

Jonas Wicky, C. Hilbich, R. Delaloye, Christian Hauck
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Abstract

We extend a numerical modeling approach developed to explicitly model convective heat transfer in periglacial landforms to represent the ground thermal regime of low‐altitude talus slopes. Our model solves for heat conduction and accounts explicitly for air convection adopting a Darcy term with a Boussinesq approximation for air circulation in the porous ground. Numerical model experiments for the low‐altitude talus slope Dreveneuse, Switzerland, confirm that air convection is the key to forming and maintaining ground ice. In the model, the porous talus slope is underlain by a layer of water‐bearing morainic material. In years, where the gradient between air and talus temperature is sufficiently large to result in increased convection and therefore cooling, ground ice forms due to air convection within the porous material and lasts for more than a year. It is only by considering convection that the model is able to represent the occurrences of ground ice, in accordance with temperature observations on‐site. These findings are important, as they confirm that ground ice can be formed and maintained in landforms with a mean annual air temperature > 0°C if ground air convection is present combined with the presence of water.
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模拟空气对流与低海拔寒冷距石斜坡出现短期永久冻土之间的联系
我们扩展了为明确模拟冰川地貌中对流传热而开发的数值建模方法,以表示低海拔滑石斜坡的地热状态。我们的模型解决了热传导问题,并明确考虑了空气对流,采用了达西项和多孔地面空气循环的布森斯克近似值。对瑞士德雷文纽斯低空滑石斜坡进行的数值模型试验证实,空气对流是形成和维持地面结冰的关键。在模型中,多孔的距土坡下是一层含水的冰碛物质。在空气温度和距土层温度之间的梯度足够大,从而导致对流增加和冷却的年份,多孔材料内部的空气对流会形成地冰,并持续一年以上。只有考虑到对流,模型才能根据现场温度观测结果来表示地面结冰的发生。这些发现非常重要,因为它们证实,如果地面空气对流与水的存在相结合,在年平均气温大于 0°C 的地貌中可以形成并维持地表冰。
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