Abstract

To study the distribution law of frost heave in base soil with a concrete lining structure and compound geomembrane, the coupled heat–moisture–stress, capillary action, and membrane water migration were considered, and multi-field coupling software was used to simulate the frost heaving of the channel. A 67-day frost heaving process of the foundation soil considering the change of groundwater level around a channel was also considered. The displacement fields at different positions on the base soil were obtained. The results showed that the frost heave was the largest at about one-third of the slope from the bottom of the channel, and the maximum is 8.243 cm. A compound geomembrane on the lower side of the lining can reduce the frost heaving of the foundation soil to some extent, and the maximum normal displacements of the lining along the slope and at the top of the channel decreased by 14.3% and 15.5% after adding the compound geomembrane.

Highlights

  • Frozen soil is mainly distributed in the northern hemisphere

  • Θ is the volume fraction of fluid within the soil, ρi is the density of ice, ρw is the density of water, x and y represent directions, f is a body force, σ is the normal stress, τ is the shear stress, E is the elasticity modulus, ν is the Poisson’s ratio, εx0 is the initial strain along the x direction, ε y0 is the initial strain along the y direction, εxy0 is the initial shear strain, T is the temperature, u is the displacement vector, βh is the coefficient of ice expansion in the base soil, φ is the angle between dT

  • The simulation results were basically consistent with the measurements, (1) A hydrothermal three‐field coupling simulation was carried out on the trapezoidal channel revealing the frost heave distribution of the trapezoidal channel

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Summary

Introduction

Frozen soil is mainly distributed in the northern hemisphere. Permafrost accounts for about 23%. The moisture, temperature, and stress fields interact with the base soil, producing an uneven frost heave [5,6]. This affects the channel lining, causing cracking and leakage of the lining, directly affecting its normal operation. Bai et al [8] conducted a series of one-side freezing experiments to illustrate moisture migration and frost heave mechanisms He et al [9] established a coupled model for liquid water–vapor–heat migration, in which the phase changes of vapor–liquid and water–ice were considered. When calculating the water driving force, capillary action and membrane water migration theory were considered simultaneously, and the process of frost heave growth of the canal-based frozen soil was simulated

Frost Heave Model and Analysis Method
Basic Assumption
Heat Conduction Equation
Moisture Transfer Equation
Moisture Migration Driving Force
Stress–Strain Equation
Contact Behavior Between Foundation Soil and Concrete
Channel Prototype
Upper Boundary Condition
Lower Boundary Condition
10 February 2018
Finite Element Model Calculation and Parameter Selection
Finite element
Distribution Law of Frost Heave in Basic Soil
Distributionofofthe thetemperature temperature in
Findings
Distribution volumefraction fractionof of moisture in foundation
Conclusions

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