两相模型与压缩实验在雪地压实动力学中的适用性

IF 3.8 2区 工程技术 Q1 ENGINEERING, CIVIL Cold Regions Science and Technology Pub Date : 2024-10-02 DOI:10.1016/j.coldregions.2024.104336
B. Ilyse Horlings , Zoe Courville , Andrii Murdza , Kaitlin M. Keegan
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引用次数: 0

摘要

压实是一种流变过程,在许多领域都使用一维两相连续框架进行建模。然而,直到最近,它才被认为是一种很有前途的方法,可用于模拟积雪变成冰川冰的致密化过程,而传统的模型都是经验或半经验模型。在这里,我们通过理论分析和简化理论,然后通过实验对模型系数进行约束,探索了标准一维两相连续体框架在模拟积雪压实方面的适用性。我们在理论分析中发现,达到缓慢压实的极限时,压实过程中的空气排空不会阻碍冰粒的变形。在-10°和-20°C条件下,我们使用一系列雪样单轴压缩实验的数据进行了模型与数据的比较,结果显示拟合度良好(r2>0.996)。通过定义线性有效压力函数,我们可以根据数据调整模型参数。虽然我们的模型遵循了适当的简化理论,但温度和微观结构依赖性完全由流变公式中的模型参数和应变率决定,因此仍然存在很大的分散性。在选定的压实速率和密度范围内,我们的结果表明,仅采用连续体框架的一维两相模型不可能捕捉到压实过程中的重要过程。
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Applicability of two-phase modeling with compression experiments for snow compaction dynamics
Compaction is a rheological process which, in many fields, has been modeled using a 1-D two-phase continuum framework. However, only recently has it been posed as a promising method for modeling the densification of snow into glacial ice, where the conventional model is empirical or semi-empirical. Here, we explore the applicability of a standard one-dimensional two-phase continuum framework for modeling snow compaction through theoretical and laboratory methods by analyzing and simplifying theory, and then experimentally constraining the model coefficient. We find in our theory analysis that the limit of slow compaction is reached such that air evacuation during the compaction process does not impede the deformation of ice grains. Model-data comparisons are performed using data from a series of uniaxial compression experiments of snow samples under a range of compaction rates (1 × 10−6 to 3 × 10−5 m s−1) and densities (250 to 450 kg m−3) at −10° and –20 °C, which show good measures of fit (r2>0.996). By defining a linear effective pressure function, we then constrain the model parameter by tuning against the data. While our model follows proper simplification of theory, the temperature and microstructural dependence are determined exclusively by the model parameter in a rheological formulation with the strain rate, and much scatter still exists. Within the selected range of compaction rates and densities, our results indicate that a 1-D two-phase model with a continuum framework alone does not likely capture important processes involved in the compaction process.
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来源期刊
Cold Regions Science and Technology
Cold Regions Science and Technology 工程技术-地球科学综合
CiteScore
7.40
自引率
12.20%
发文量
209
审稿时长
4.9 months
期刊介绍: Cold Regions Science and Technology is an international journal dealing with the science and technical problems of cold environments in both the polar regions and more temperate locations. It includes fundamental aspects of cryospheric sciences which have applications for cold regions problems as well as engineering topics which relate to the cryosphere. Emphasis is given to applied science with broad coverage of the physical and mechanical aspects of ice (including glaciers and sea ice), snow and snow avalanches, ice-water systems, ice-bonded soils and permafrost. Relevant aspects of Earth science, materials science, offshore and river ice engineering are also of primary interest. These include icing of ships and structures as well as trafficability in cold environments. Technological advances for cold regions in research, development, and engineering practice are relevant to the journal. Theoretical papers must include a detailed discussion of the potential application of the theory to address cold regions problems. The journal serves a wide range of specialists, providing a medium for interdisciplinary communication and a convenient source of reference.
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