中文摘要：

土体在冻结管作用下的冻结过程会涉及到相变潜热释放问题,准确描述冻结管周边的温度分布特征及冻结锋面移动规律对确定冻结壁的厚度和安全合理设计有重要意义。光滑粒子算法作为一种拉格朗日型无网格粒子方法以其独特的优势,已成功地应用于多种类型工程科学问题的求解。基于光滑粒子法编写了相应的计算程序并尝试着求解相变导热问题,通过一个简单的具有解析解的算例验证了其实用性和可靠性,从而给出求解此类问题的一种新的求解思路,并拓展了光滑粒子法的应用范围。最后针对煤矿井筒建设中冻结壁成形过程进行数值分析,计算了单圈等间距设置冻结管时的温度场的分布演化特征,比较了热物理性质不同的两种土体介质在相同冻结条件下的冻结效果,重点分析了采用不同交错布孔方案对冻结壁成形过程的影响,从而为工程设计提供一定的依据。

英文摘要：

The freezing process of soil under the action of freezing pipe is related to the release of latent heat of phase change. An accurate description of temperature distribution characteristics near the freezing pipe and the freezing front movement rules is very important to determine the frozen wall thickness and safety design reasonably. The smoothed particle method, as a Lagrange meshless particle method, has been successfully used in solving many kinds of engineering problems with its unique advantages. The problem of heat conduction involving phase change is solved by the corresponding calculation program based on the smoothed particle method, and the practability and reliability of this method is verified through numerical examples with analytical solution, so a new solution for solving this kind of problem is given and the application range of the smooth particle method is extended. In the end, numerical analysis of forming process of frozen wall in construction of a coal mine shaft is carried out. The distribution and evolution characteristics of the temperature field are calculated under the condition of freezing pipe with single-ring and uniformly-spaced arrangement. The freezing effects of two kinds of soil media with different thermal physical properties are compared under the same freezing condition, and the influences of schemes with different staggered distribution holes on the forming process of frozen wall are emphatically analyzed so as to provide a basis for engineering design.