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Application of the Asymptotic Homogenization Method to Find the Expansion Coefficient of a Water-Saturated Porous Medium during Freezing Processes

机译:渐近均质化方法在冻结过程中寻找水饱和多孔介质膨胀系数的应用

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摘要

An approach is proposed to determine the effective relative expansion coefficient of a porous medium filled with water during its freezing. This approach is based on an asymptotic homogenization method. An explicit formula is derived to find the expansion coefficient in the case of open pores. In the case of closed pores, the expansion coefficient is a second-rank tensor. Its determination requires to solve the so-called local problems in a representative volume element. The proposed approach can be used to determine the effective expansion coefficient during the freezing of water in the soil. Its efficiency is confirmed for model and realistic geological structures.
机译:提出了一种确定在冻结期间充满水的多孔介质的有效相对膨胀系数的方法。该方法基于渐近均匀化方法。推导了一个明确的公式来查找开孔情况下的膨胀系数。在闭孔的情况下,膨胀系数为第二张量。它的确定需要解决代表性的体积元素中的所谓局部问题。所提出的方法可用于确定土壤中水冻结期间的有效膨胀系数。对于模型和实际地质结构,其有效性得到了证实。

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  • 来源
    《Moscow university mechanics bulletin》 |2016年第6期|127-131|共5页
  • 作者单位

    Moscow State University, Faculty of Mechanics and Mathematics, Leninskie Gory, Moscow, 119899, Russia;

    Moscow State University, Faculty of Mechanics and Mathematics,Leninskie Gory, Moscow, 119899, Russia;

    Moscow State University, Faculty of Geology,Leninskie Gory, Moscow, 119899, Russia;

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