关键词: 冻结温度场, 相变, 冻结锋面半径, 理论解析, 冻结槽试验

Abstract: A phase-transition temperature field model for artificial single pipe freezing with a stable linear cold source was established and approximate analytical solution for freezing temperature development with time was obtained by variable substitution method. The temperature distributions in the frozen and non-frozen fields were expressed by an exponential integral function, and the theoretical results were compared with the freezing model test. The research results show that the error between theoretical calculation and test result is within a reasonable range, which verified the effectiveness and reliability of the approximate analytical solution for transient freezing temperature field distribution; the relation between the freezing-front radius and freezing time follows square root equation; the temperature field for a single freezing pipe obeys a logarithmic function in time and space and its curvature decreases with time. The research results have an important engineering significance to understanding the temperature field evolution law of poor foundation soil surrounding a freezing pipe under a stable linear cold source and guiding the freezing construction technology.

Key words: freezing temperature field, phase change, frozen front radius, theoretical analysis, freezing tank test