Abstract
Many studies indicate that the heaving displacement during tunnel freezing construction can be regarded as a plane strain problem. However, due to the fact that many of the frozen pipes are placed obliquely in practical engineering, it should be a three-dimensional problem. Therefore, considering stochastic medium theory, the analytical solution of three-dimensional heaving displacement of ground surface during tunnel freezing construction is established, and the analytical solution is applied to the project case in Beijing. The calculation results show that, considering the inclination angle between the freezing pipe and the center axis of the tunnel, the maximum heaving displacement of the ground surface occurs at the tunnel center. When the inclination angle is equal to 0°, the analytical solution of three-dimensional ground surface heaving displacement is in good agreement with that of the two-dimensional prediction model, which further verified the reliability of the established analytical solution of the three-dimensional frost heave prediction model.
Highlights
On the basis of the sandbox model test, the Polish scholar Litwiniszyn [1] proposed a stochastic medium theory to investigate the displacement of rock strata and ground surface during underground mining in the 1950s; in this theory, rock formation is regarded as a kind of “stochastic medium”, and the deformation of rock formation and surface caused by underground mining is regarded as a stochastic process and the prediction of rock formation and surface deformation can be realized by using probability and statistics method
After the development and improvement of Chinese scholar Liu et al [2, 3], the application field of stochastic medium theory has developed from the analysis of surface deformation caused by underground mining to the analysis of surface deformation caused by open-pit mining, near surface excavation, and stratum drainage
Yang et al [4] and Yang et al [5] analyzed and discussed in detail the surface movement and deformation caused by urban tunnel construction by using stochastic medium theory, further expanding the application field of stochastic medium theory
Summary
On the basis of the sandbox model test, the Polish scholar Litwiniszyn [1] proposed a stochastic medium theory to investigate the displacement of rock strata and ground surface during underground mining in the 1950s; in this theory, rock formation is regarded as a kind of “stochastic medium”, and the deformation of rock formation and surface caused by underground mining is regarded as a stochastic process and the prediction of rock formation and surface deformation can be realized by using probability and statistics method. An analytical solution method of threedimensional frost heave deformation is established considering the inclined radial layout characteristics of the freezing pipe group in the actual tunnel construction. It is an improvement on the analytical solution of two-dimensional with the stochastic medium theory that the temperature field before the intersection of the frozen wall is calculated by single-pipe freezing theory and the temperature field after the intersection of the frozen wall is calculated by flat-panel freezing theory
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