Page 104 - 水利学报2021年第52卷第2期

Elastic foundation beam model of canal considering ice cover formation decaying and
coupling effect between ice-structure-frozen soil

1 2 1，2
GE Jianrui ，NIU Yonghong ，WANG Zhengzhong ，
2
1
TAN Zhixiang ，ZHANG Chunyang ，WANG Yi 3
（1. Cold and Arid Regions Water Engineering Safety Research Center，
Key Laboratory of Agricultural Soil and Water Engineering in Arid and Semiarid Areas of Ministry of Education，
Northwest A&F University，Yangling 712100，China；
2. State Key Laboratory of Frozen Soil Engineering，CAS，Lanzhou 730000，China；
3. Geotechnical Engineering，Nanjing Hydraulic Research Institute， Nanjing 210024，China）

Abstract：The ice-freeze damage is the main factor for the lining structure damage of water delivery canal
in cold region in winter. However，there is still a lack of accurate analytical methods and evaluation crite⁃
ria. In this paper， study started from the mechanism of frost failure of lining structure in the process of
ice cover formation and extinction of three stages which is early ice-forming period， ice float period and
ice freezing period. Considering ice-soil-structure coupling effect，based on Winkler theory of elastic founda⁃
tion beam，a differential equation of deflection line of lining structure was derived. Then it established the
mechanical models of frost failure of lining structures in three stages，and the analytical expressions of the
deflection，internal force and stress of the lining structure were obtained by solving the model with the com⁃
bination of corresponding loads and boundary conditions. The model is used to analyze and calculate the
freezing damage of a water conveyance channel in Jing-Shi section of the South-to-North Water transfer
project， the results shown that， the maximum normal frost heave displacement of lining structure were
10.62， 13.89 and 5.05cm respectively in three stages early， and the maximum tensile stresses on the sec⁃
tions of the lining structure corresponding in the three stages were 3.63， 4.11 and 2.05MPa respectively.
The location of the failure is in the middle and lower part of the slope slab in the freezing zone，which is
consistent with the distribution law of the frozen failure of the monitoring canal on site. Accordingly， it is
suggested that in the control of water conveyance canals in cold areas in winter，the early ice-forming peri⁃
od and ice float period should be shortened as much as possible，and ice freezing period should be extend⁃
ed. At the same time， the water table and the thickness of the ice cover should be reasonably controlled.
The results can provide theoretical basis and analytical methods for anti-freezing design of water convey⁃
ance canals in cold region in winter.
Keywords： lining canal； ice-structure-frozen soil coupling effect； ice and freeing loading； Winkler elastic
foundation theory；differential equation of deflection curve

（责任编辑：耿庆斋）

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