Abstract
With the high demand for construction of tunnels in China’s severe cold regions, the problem of frost heaving has become an important factor that endangers tunnel safety. This paper attempts to investigate the effect of frost heave of cavity water that widely exists in the tunneling engineering on the tunnel stability. According to the actual deformation of the surrounding rock of the tunnel, the viscoelastic behavior is considered to the surrounding rock. On the premise of the elastic solution of stagnant water frost heave, the viscoelastic solution of frost heaving pressure is deduced by Laplace transform using the generalized Kelvin model based on the elastic-viscoelastic correspondence principle. The frost heaving force is analyzed through a case study with variations in the size of the cavity defect as well as the constitutive model parameters. It is concluded that the frost heaving force increases with the cavity defect size; over time, the frost heaving force gradually increases, but it will eventually stabilize. It is found that when the frost heaving force reaches a certain level, the surrounding rock with low strength or the lining with insufficient strength will crack, and the frost heaving force will not continue to increase.
Highlights
Introduction e fast development ofChina’s infrastructure projects has seen a large number of tunnels being built in severe cold and permafrost regions
After the water accumulates in the cavity, it will freeze and expand in a low temperature environment. e frost heaving force will act on the surrounding rocks and the lining, causing the surrounding rocks and the lining to crack and generate cracks [2]
When the frost heaving force in the cavity acts on the lining, the tunnel lining will be damaged to varying degrees, and ice hanging will often occur, which invades the tunnel building boundaries and endangers the traffic safety in the tunnel [5]. erefore, the frost damage caused by the frost heave problem is an urgent problem to be solved in cold regions
Summary
According to the elastic-viscoelastic correspondence principle, if the viscoelastic solution of the frost heaving force of the water in the cavity behind the lining is required, its elastic solution must be obtained first [23]. E viscoelastic deformation of surrounding rocks and linings under frost heave can be calculated using the generalized Kelvin model (as shown in Figure 3), and its constitutive equation is as follows:. It can be seen that the calculation results of the analytical solution in this paper are in good agreement with the actual situation
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