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On Temperature Field Variation of the Surrounding Soil Mass Caused
by Artificial Single Pipeline Freezing
(1 Faculty of Civil Engineering and Architecture, Kunming University of Science and Technology, Kunming 650500; 2 School of Urban Construction and Management, Yunnan University, Kunming 650091)
Abstract A phase-transition temperature field model of artificial freezing was established to study the transient variation of the temperature field of a surrounding soil mass being divided into a frozen zone and a cooling zone. A phase-transition heat conduction equation of single pipeline freezing was solved with variable substitution, and an analytical expression of transient variation of the temperature of soil mass was derived, which is indicated by exponential integral function. Using finite terms of exponential integral function series expansion, analytical expressions for the temperature field distributions of both the frozen zone and cooling zone around the frozen pipe were obtained. The effects on the artificial freezing temperature field caused by temperature differencesin frozen soil mass, heat absorption coefficients of frozen pipes, and the latent heat of frozen soil masses per unit volume are discussed based on a specific case. The results prove that: (1) the greater the temperature difference of the frozen soil mass, the slower the frozen front radius develops; (2) the larger the heat absorption coefficient of the frozen pipe, the faster the frozen front radius develops; and (3) the smaller the latent heat of the frozen soil mass, the faster the frozen front radius develops. The above three influential factors have a linear relationship with the development of the frozen front radius.
Abstract：
A phase-transition temperature field model of artificial freezing was established to study the transient variation of the temperature field of a surrounding soil mass being divided into a frozen zone and a cooling zone. A phase-transition heat conduction equation of single pipeline freezing was solved with variable substitution, and an analytical expression of transient variation of the temperature of soil mass was derived, which is indicated by exponential integral function. Using finite terms of exponential integral function series expansion, analytical expressions for the temperature field distributions of both the frozen zone and cooling zone around the frozen pipe were obtained. The effects on the artificial freezing temperature field caused by temperature differencesin frozen soil mass, heat absorption coefficients of frozen pipes, and the latent heat of frozen soil masses per unit volume are discussed based on a specific case. The results prove that: (1) the greater the temperature difference of the frozen soil mass, the slower the frozen front radius develops; (2) the larger the heat absorption coefficient of the frozen pipe, the faster the frozen front radius develops; and (3) the smaller the latent heat of the frozen soil mass, the faster the frozen front radius develops. The above three influential factors have a linear relationship with the development of the frozen front radius.
WANG Zhi-Liang-1,
Shen-Lin-Fang-1,
Xie-Jian-Bin-2
.On Temperature Field Variation of the Surrounding Soil Mass Caused
by Artificial Single Pipeline Freezing
[J] MODERN TUNNELLING TECHNOLOGY, 2014,V51(1): 110-116
2014, Vol. 51 