Thermal Effect in Nonlinear One-Dimensional Consolidation of Cold Region Soil
Abstract
:1. Introduction
2. Mathematical Model and Assumptions
2.1. Mathematical Model
2.2. General Assumptions
- (1)
- The soil is homogeneous, isotropic and fully saturated.
- (2)
- The volumes of soil particles are incompressible.
- (3)
- The deformation of the soil caused by the consolidation is small.
- (4)
- The seepage flow of pore water inside the soil obeys Darcy’s law.
- (5)
- The drainage condition is modeled by the continuous drainage boundary.
3. Governing Equations and Solutions
3.1. Governing Equation
3.2. Boundary Conditions
- (1)
- The upper and bottom boundary conditions are modelled by the continuous drainage boundary:
- (2)
- The initial condition can be express as
3.3. Approximate Solutions for the Governing Equations
4. Model Verifications
4.1. Comparisons with the Solution by Quan et al.
4.2. Comparisons with the Finite Difference Solution Neglecting the Thermal Effect
5. Parametric Study
5.1. Influence of Temperature
5.2. Influence of the Ratio of Finial Effective Stress to Initial Effective
5.3. Influence of Time
5.4. Influence of
5.5. Influence of Interface Parameter and
6. Conclusions
- (1)
- The temperature has a greater effect on the dissipation of excess pore water pressure. As the temperature increases, the excess pore water pressure would dissipate faster. The soil settlement would decrease with the decrease in temperature in cold regions. That is because the decrease in temperature would make the compressibility index and the permeability of the soil decrease.
- (2)
- When the consolidation rate would increase with the increase in the ratio of final effective stress to the initial effective stress. It is interesting to find that when , the change of the dissipation of excess pore water pressure is the opposite to that when . The larger is, the faster the excess pore water would be dissipated.
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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(m) | ||||||
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0.275 | 0.005 | 1 | 10−8 | 1 | 101 | 1.2 |
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Wang, Z.; Wu, W.; Zhang, P.; Wang, Z.; Xi, R.; Wen, M. Thermal Effect in Nonlinear One-Dimensional Consolidation of Cold Region Soil. Energies 2022, 15, 5643. https://0-doi-org.brum.beds.ac.uk/10.3390/en15155643
Wang Z, Wu W, Zhang P, Wang Z, Xi R, Wen M. Thermal Effect in Nonlinear One-Dimensional Consolidation of Cold Region Soil. Energies. 2022; 15(15):5643. https://0-doi-org.brum.beds.ac.uk/10.3390/en15155643
Chicago/Turabian StyleWang, Zongqin, Wenbing Wu, Peng Zhang, Zuodong Wang, Ruichen Xi, and Minjie Wen. 2022. "Thermal Effect in Nonlinear One-Dimensional Consolidation of Cold Region Soil" Energies 15, no. 15: 5643. https://0-doi-org.brum.beds.ac.uk/10.3390/en15155643