首页 » 文章 » 文章详细信息
Advances in Civil Engineering Volume 2018 ,2018-12-02
A Coupled Thermo-Hydromechanical Model of Soil Slope in Seasonally Frozen Regions under Freeze-Thaw Action
Research Article
Yongxiang Zhan 1 Zheng Lu 1 Hailin Yao 1 Shaohua Xian 1
Show affiliations
DOI:10.1155/2018/7219826
Received 2018-08-29, accepted for publication 2018-11-13, Published 2018-11-13
PDF
摘要

Soil slope diseases in seasonally frozen regions are mostly related to water migration and frost heave deformation of the soil. Based on the partial differential equation defined using the COMSOL Multiphysics software, a thermo-hydromechanical coupling model considering water migration, ice-water phase change, ice impedance, and frost heave is constructed, and the variations in the temperature field, migration of liquid water, accumulation of solid ice, and deformation of frost heave in frozen soil slopes are analysed. The results show that the ambient temperature has a significant effect on the temperature and moisture field of the slope in the shallow area. In addition, the degree of influence gradually weakens from the outside to the inside of the slope, and the number of freeze-thaw cycles in deep soil is less than that in shallow soil. During the freezing period, water in the unfrozen area rapidly migrates to the frozen area, and the total moisture content abruptly changes at the vicinity of the freezing front. The maximum frozen depth is the largest at the slope top and the smallest at the slope foot. During the melting period, water is enriched at the melting front with the frozen layer melting; the slope is prone to shallow instability at this stage. The melting of the frozen layer is bidirectional, so the duration of slope melting is shorter than that of the freezing process. The slope displacement is closely related to the change in temperature—a relation that is in agreement with the phenomenon of thermal expansion and contraction in unfrozen areas and reflects the phenomenon of frost heave and thaw settlement in frozen areas.

授权许可

Copyright © 2018 Yongxiang Zhan et al. 2018
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

图表

Heaviside step function.

Slope geometric dimensions diagram.

Temperature and humidity sensor embedded in the test section.

Comparison of calculated values with test values. (a) Temperature distribution with depth; (b) water content distribution with depth.

Comparison of calculated values with test values. (a) Temperature distribution with depth; (b) water content distribution with depth.

Maximum frozen depth at different locations: (a) slope top; (b) slope waist; (c) slope foot.

Maximum frozen depth at different locations: (a) slope top; (b) slope waist; (c) slope foot.

Maximum frozen depth at different locations: (a) slope top; (b) slope waist; (c) slope foot.

Distribution of slope temperature isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of slope temperature isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of slope temperature isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of slope temperature isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of slope temperature isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of slope temperature isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Temperature distribution of the slope waist along vertical distance from slope surface at different times.

Variation in the slope temperature at different times.

Distribution of the slope moisture isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of the slope moisture isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of the slope moisture isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of the slope moisture isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of the slope moisture isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Distribution of the slope moisture isoline at different times. (a) t = 193 d, T = 23.00°C; (b) t = 290 d, T = 0.18°C; (c) t = 375 d, T = −18.30°C; (d) t = 430 d, T = −9.76°C; (e) t = 459 d, T = −0.27°C; (f) t = 480 d, T = 7.14°C.

Moisture distribution of the slope waist along vertical distance from slope surface at different times.

Distribution of the slope surface displacement. (a) Vertical displacement; (b) horizontal displacement.

Distribution of the slope surface displacement. (a) Vertical displacement; (b) horizontal displacement.

通讯作者

Zheng Lu.State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China, cas.cn.lzwhrsm@163.com

推荐引用方式

Yongxiang Zhan,Zheng Lu,Hailin Yao,Shaohua Xian. A Coupled Thermo-Hydromechanical Model of Soil Slope in Seasonally Frozen Regions under Freeze-Thaw Action. Advances in Civil Engineering ,Vol.2018(2018)

您觉得这篇文章对您有帮助吗?
分享和收藏
0

是否收藏?

参考文献
[1] W. An, C. Wu, W. Ma, Y. Zhu. et al.(1989). Interaction Among Temperature, Moisture and Stress Fields in Frozen Soil. DOI: 10.1016/j.mcm.2010.11.024.
[2] M. He, N. Li, N. F. Liu. (2012). Analysis and validation of coupled heat-moisture-deformation model for saturated frozen soils. Chinese Journal of Geotechnical Engineering.34(10):1858-1865. DOI: 10.1016/j.mcm.2010.11.024.
[3] Y. M. Lai, Z. W. Wu, Y. L. Zhu, L. N. Zhu. et al.(1999). Nonlinear analysis for the coupled problem of temperature and seepage fields in cold regions tunnels. Science in China Series D: Earth Sciences.42(S1):23-29. DOI: 10.1016/j.mcm.2010.11.024.
[4] E. C. McRoberts, N. R. Morgenstern. (1974). The stability of thawing slopes. Canadian Geotechnical Journal.11(4):447-469. DOI: 10.1016/j.mcm.2010.11.024.
[5] K. O’Nell, R. D. Miller. (1985). Exploration of a rigidice model of frost heave. Water Resources Research.21(3):281-296. DOI: 10.1016/j.mcm.2010.11.024.
[6] Z. L. Wang, Q. Fu, Q. X. Jiang, T. X. Li. et al.(2011). Numerical simulation of water-heat coupled movements in seasonal frozen soil. Mathematical and Computer Modelling.54(3-4):970-975. DOI: 10.1016/j.mcm.2010.11.024.
[7] H. S. Li, Z. L. Liu, C. J. Liang. (2001). Mathematical model for coupled moisture heat and stress field and numerical simulation of frozen soil. Acta Mechanica Sinica.33(5):621-629. DOI: 10.1016/j.mcm.2010.11.024.
[8] R. S. vTarr. (1897). Rapidity of weathering and stream erosion in the arch latitudes. American Geologist.19:131-136. DOI: 10.1016/j.mcm.2010.11.024.
[9] G. S. Taylor, J. N. Luthin. (1978). A model for coupled heat and moisture transfer during soil freezing. Canadian Geotechnical Journal.15(4):548-555. DOI: 10.1016/j.mcm.2010.11.024.
[10] M. Shen, B. Ladanyi. (1987). Modelling of coupled heat, moisture and stress field in freezing soil. Cold Regions Science and Technology.14(3):237-246. DOI: 10.1016/j.mcm.2010.11.024.
[11] A. Gens, S. Nishimura, R. J. Jardine. (2009). THM-coupled finite element analysis of frozen soil: formulation and application. Geotechnique.59(3):159-171. DOI: 10.1016/j.mcm.2010.11.024.
[12] R. L. Harlan. (1973). Analysis of coupled heat-fluid transport in partially frozen soil. Water Resource Research.9(5):1314-1323. DOI: 10.1016/j.mcm.2010.11.024.
[13] W. Wang, P. Adamidis, M. Hess, D. Kemmler. et al.(2006). Parallel finite element analysis of THM coupled processes in unsaturated porous media. Theoretical and Numerical Unsaturated Soil Mechanics.113:165-175. DOI: 10.1016/j.mcm.2010.11.024.
[14] Y. M. Lai, S. Y. Liu, Z. W. Wu, W. B. Yu. et al.(2002). Approximate analytical solution for temperature fields in cold regions circular tunnels. Cold Regions Science and Technology.34(1):43-49. DOI: 10.1016/j.mcm.2010.11.024.
[15] X. Y. Liu, J. Zhao, C. Shi, B. Zhao. et al.(2007). Study on soil layer of constant temperature. Acta Energise Solaris Sinica.5:494-498. DOI: 10.1016/j.mcm.2010.11.024.
[16] Y. W. Jame, D. I. Norm. (1980). Heat and mass transfer in freezing unsaturated porous medium. Water Resources Research.16(4):811-819. DOI: 10.1016/j.mcm.2010.11.024.
[17] R. X. He, H. J. Jin, S. P. Zhao, Y. S. Deng. et al.(2018). Review of status and progress of the study in thermal conductivity of frozen soil. Journal of Glaciology and Geocryology.40(1):116-126. DOI: 10.1016/j.mcm.2010.11.024.
[18] E. L. Wang, Q. Fu, X. C. Liu, T. X. Li. et al.(2017). Simulating and validating the effects of slope frost heaving on canal bed saturated soil using coupled heat-moisture-deformation model. International Journal of Agricultural and Biological Engineering.10(2):184-193. DOI: 10.1016/j.mcm.2010.11.024.
[19] N. Li, B. Chen, F. X. Chen, X. Z. Xu. et al.(2000). The coupled heat-moisture-mechanic model of the frozen soil. Cold Regions Science and Technology.31(3):199-205. DOI: 10.1016/j.mcm.2010.11.024.
[20] X. B. Chen, J. K. Liu, H. X. Liu, Y. Q. Wang. et al.(2006). Frost Action of Soil and Foundation Engineering. DOI: 10.1016/j.mcm.2010.11.024.
[21] Z. D. Lei, S. X. Yang, S. C. Xie. (1988). Soil Hydrodynamics. DOI: 10.1016/j.mcm.2010.11.024.
[22] Y. M. Lai, W. S. Pei, M. Y. Zhang, J. Z. Zhou. et al.(2014). Study on theory model of hydro-thermal-mechanical interaction process in saturated freezing silty soil. International Journal of Heat and Mass Transfer.78(5):805-819. DOI: 10.1016/j.mcm.2010.11.024.
[23] P. D. Sun, D. Q. Yang, Y. B. Chen. (2007). Introduction to Coupling Models for Multiphysics and Numerical Simulations. DOI: 10.1016/j.mcm.2010.11.024.
文献评价指标
浏览 33次
下载全文 3次
评分次数 0次
用户评分 0.0分
分享 0次