A fully coupled thermo-hydro-mechanical constitutive model for unsaturated soils and its verification

LIU Yi; CAI Guo-qing; LI Jian; ZHAO Cheng-gang

doi:10.11779/CJGE202103018

Volume 43 Issue 3

Turn off MathJax

Article Contents

Abstract

References

Chinese Journal of Geotechnical Engineering > 2021 > 43(3): 547-555. > DOI: 10.11779/CJGE202103018

LIU Yi, CAI Guo-qing, LI Jian, ZHAO Cheng-gang. A fully coupled thermo-hydro-mechanical constitutive model for unsaturated soils and its verification[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(3): 547-555. DOI: 10.11779/CJGE202103018

Citation:

PDF (1135 KB)

A fully coupled thermo-hydro-mechanical constitutive model for unsaturated soils and its verification

LIU Yi^{1, 2,},
CAI Guo-qing^{1, 2, ,},
LI Jian^{1, 2},
ZHAO Cheng-gang^{2, 3}

1.
Key Laboratory of Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, China
2.
School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
3.
School of Civil Engineering, Guilin University of Technology, Guilin 541004, China

More Information

Received Date: March 31, 2020
Available Online: December 04, 2022

Graphical Abstract

Abstract

Abstract

For many geotechnical problems, such as development and utilization of geothermal resources, nuclear waste disposal and refuse landfills, we need to consider the effects of temperature on the properties of unsaturated soils. In order to describe the volume change and water retention behavior of unsaturated soils under thermo-hydro-mechanical coupling conditions more comprehensively, a fully coupled thermo-hydro-mechanical constitutive model for unsaturated soils is proposed. In the proposed model, the average soil skeleton stress, modified suction and temperature are taken as stress variables, while the specific volume and degree of saturation are taken as strain variables. The thermo-hydro-mechanical interactions are reflected through the yield surface equations and the coupling laws between yield surfaces by the model. The thermo-hydro-mechanical interactions mainly include the influences of temperature and saturation on mechanical behavior, the influences of suction and overconsolidation ratio (stress history) on thermal deformation, the influences of density, temperature and hysteresis effect on water retention behavior, and the influences of temperature, stress and hysteresis effect on deformation during drying/wetting process. The predictions are performed on the test results under different stress paths using the proposed model. The applicability of the model is verified by the comparisons between predicted and experimental results.
- unsaturated soil,
- constitutive model,
- thermo-hydro-mechanical coupling,
- temperature,
- suction

FullText(HTML)

References (25)

References

[1]	GENS A. Constitutive Laws[M]//Modern Issues in Non-Saturated Soils. Vienna: Springer, 1995: 129-158.
[2]	武文华, 李锡夔. 非饱和土的热-水力-力学本构模型及数值模拟[J]. 岩土工程学报, 2002, 24(4): 411-416. doi: 10.3321/j.issn:1000-4548.2002.04.001 WU Wen-hua, LI Xi-kui. Constitutive model and numerical simulation of thermo-hydro-mechanical behavior in unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(4): 411-416. (in Chinese) doi: 10.3321/j.issn:1000-4548.2002.04.001
[3]	谢云, 陈正汉, 李刚. 考虑温度影响的重塑非饱和膨胀土非线性本构模型[J]. 岩土力学, 2007, 28(9): 1937-1942. doi: 10.3969/j.issn.1000-7598.2007.09.032 XIE Yun, CHEN Zheng-han, LI Gang. Thermo-nonlinear model for unsaturated expansive soils[J]. Rock and Soil Mechanics, 2007, 28(9): 1937-1942. (in Chinese) doi: 10.3969/j.issn.1000-7598.2007.09.032
[4]	FRANÇOIS B, LALOUI L. ACMEG-TS: A constitutive model for unsaturated soils under non-isothermal conditions[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2008, 32(16): 1955-1988. doi: 10.1002/nag.712
[5]	TANG A M, CUI Y J. Modelling the thermo-mechanical volume change behaviour of compacted expansive clays[J]. Géotechnique, 2009, 59(3): 185-195. doi: 10.1680/geot.2009.59.3.185
[6]	姚仰平, 牛雷, 杨一帆, 等. 考虑温度影响的非饱和土本构模型[J]. 岩土力学, 2011, 32(10): 2881-2888. doi: 10.3969/j.issn.1000-7598.2011.10.001 YAO Yang-ping, NIU Lei, YANG Yi-fan, et al. Constitutive model for unsaturated clays considering temperature effects[J]. Rock and Soil Mechanics, 2011, 32(10): 2881-2888. (in Chinese) doi: 10.3969/j.issn.1000-7598.2011.10.001
[7]	ZHOU A N, SHENG D, LI J. Modelling water retention and volume change behaviours of unsaturated soils in non-isothermal conditions[J]. Computers and Geotechnics, 2014, 55: 1-13. doi: 10.1016/j.compgeo.2013.07.011
[8]	蔡国庆, 郭艳鑫, 李舰, 等. 热-水-力耦合作用下非饱和土变形特性的弹塑性模拟[J]. 岩土力学, 2017, 38(4): 1060-1068. doi: 10.16285/j.rsm.2017.04.017 CAI Guo-qing, GUO Yan-xin, LI Jian, et al. Elastoplastic modeling of volume change behavior of unsaturated soils under thermo-hydro-mechanical coupling conditions[J]. Rock and Soil Mechanics, 2017, 38(4): 1060-1068. (in Chinese) doi: 10.16285/j.rsm.2017.04.017
[9]	BACHMANN J, HORTON R, GRANT S A, et al. Temperature dependence of water retention curves for wettable and water-repellent soils[J]. Soil Science Society of America Journal, 2002, 66(1): 44-52. doi: 10.2136/sssaj2002.4400
[10]	王铁行, 卢靖, 岳彩坤. 考虑温度和密度影响的非饱和黄土土-水特征曲线研究[J]. 岩土力学, 2008, 29(1): 1-5. doi: 10.3969/j.issn.1000-7598.2008.01.001 WANG Tie-hang, LU Jing, YUE Cai-kun. Soil-water characteristic curve for unsaturated loess considering temperature and density effect[J]. Rock and Soil Mechanics, 2008, 29(1): 1-5. (in Chinese) doi: 10.3969/j.issn.1000-7598.2008.01.001
[11]	JACINTO A C, VILLAR M V, GÓMEZ-ESPINA R, et al. Adaptation of the van Genuchten expression to the effects of temperature and density for compacted bentonites[J]. Applied Clay Science, 2009, 42(3/4): 575-582.
[12]	SALAGER S, EL YOUSSOUFI M S, SAIX C. Effect of temperature on water retention phenomena in deformable soils: theoretical and experimental aspects[J]. European Journal of Soil Science, 2010, 61(1): 97-107. doi: 10.1111/j.1365-2389.2009.01204.x
[13]	蔡国庆, 赵成刚, 刘艳. 非饱和土土-水特征曲线的温度效应[J]. 岩土力学, 2010, 31(4): 1055-1060. doi: 10.3969/j.issn.1000-7598.2010.04.008 CAI Guo-qing, ZHAO Cheng-gang, LIU Yan. Temperature effects on soil-water characteristic curve of unsaturated soils[J]. Rock and Soil Mechanics, 2010, 31(4): 1055-1060. (in Chinese) doi: 10.3969/j.issn.1000-7598.2010.04.008
[14]	秦冰, 陈正汉, 孙发鑫, 等. 高吸力下持水曲线的温度效应及其吸附热力学模型[J]. 岩土工程学报, 2012, 34(10): 1877-1886. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201210017.htm QIN Bing, CHEN Zheng-han, SUN Fa-xin, et al. Temperature effect on water retention curve under high suction and its modeling based on thermodynamics of sorption[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(10): 1877-1886. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201210017.htm
[15]	WHEELER S J, SHARMA R S, BUISSON M S R. Coupling of hydraulic hysteresis and stress-strain behaviour in unsaturated soils[J]. Géotechnique, 2003, 53(1): 41-54. doi: 10.1680/geot.2003.53.1.41
[16]	马田田, 韦昌富, 陈盼, 等. 非饱和土毛细滞回与变形耦合弹塑性本构模型[J]. 岩土力学, 2012, 33(11): 3263-3270. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201211011.htm MA Tian-tian, WEI Chang-fu, CHEN Pan, et al. An elastoplastic constitutive model of unsaturated soils with capillary hysteresis and deformation coupling[J]. Rock and Soil Mechanics, 2012, 33(11): 3263-3270. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201211011.htm
[17]	ZHOU C, NG C W W. Simulating the cyclic behaviour of unsaturated soil at various temperatures using a bounding surface model[J]. Géotechnique, 2015, 66(4): 344-350.
[18]	李舰, 刘凯, 尹振宇, 等. 非饱和砂土及黏土的水-力耦合双屈服面模型[J]. 岩土工程学报, 2020, 42(1): 72-80. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202001014.htm LI Jian, LIU Kai, YIN Zhen-yu, et al. Hydro-mechanical double-yield-surface model for unsaturated sand and clay[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(1): 72-80. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC202001014.htm
[19]	UCHAIPICHAT A, KHALILI N. Experimental investigation of thermo-hydro-mechanical behaviour of an unsaturated silt[J]. Géotechnique, 2009, 59(4): 339-353. doi: 10.1680/geot.2009.59.4.339
[20]	CUI Y J, SULTAN N, DELAGE P. A thermomechanical model for saturated clays[J]. Canadian Geotechnical Journal, 2000, 37(3): 607-620. doi: 10.1139/t99-111
[21]	VILLAR M V, LLORET A. Influence of temperature on the hydro-mechanical behaviour of a compacted bentonite[J]. Applied Clay Science, 2004, 26(1/2/3/4): 337-350.
[22]	蔡国庆, 赵成刚, 白冰, 等. 温控非饱和土三轴试验装置的研制及其应用[J]. 岩土工程学报, 2012, 34(6): 1013-1019. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201206009.htm CAI Guo-qing, ZHAO Cheng-gang, BAI Bing, et al. Development and application of a temperature- controlled triaxial test system for unsaturated soils[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(6): 1013-1019. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201206009.htm
[23]	谈云志, 胡新江, 喻波, 等. 粉土持水性能的温度效应研究[J]. 岩土力学, 2014, 35(增刊1): 121-126, 140. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2014S1017.htm TAN Yun-zhi, HU Xin-jiang, YU Bo, et al. The water holding capacity of silt under temperature effect[J]. Rock and Soil Mechanics, 2014, 35(S1): 121-126, 140. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX2014S1017.htm
[24]	朱赞成, 孙德安, 田进. 高吸力高温度下2种滤纸率定曲线及其应用[J]. 岩土工程学报, 2014, 36(6): 1020-1027. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201406006.htm ZHU Zan-cheng, SUN De-an, TIAN Jin. Calibration curves of two filter papers at high suction and temperature and their application[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(6): 1020-1027. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201406006.htm
[25]	GALLIPOLI D, WHEELER S J, KARSTUNEN M. Modelling the variation of degree of saturation in a deformable unsaturated soil[J]. Géotechnique, 2003, 53(1): 105-112.

[1]	LI Lihua, LI Zesheng, XIAO Henglin, QI Ziwei, YE Zhi, LI Yutao. Stability study on reinforced embankment under action of rise and fall of water levels[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(S2): 1-5. DOI: 10.11779/CJGE2024S20032
[2]	HUANG Fu, JI Hengbo, WANG Ziqin, PAN Qiujing, LING Tonghua. Stability of slurry trench walls considering coupling effects of soil heterogeneity and pore water pressure[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(3): 539-548. DOI: 10.11779/CJGE20221401
[3]	CAI Hong, YAN Jun, WEI Ying-qi, ZHANG Shou-zhen, WU Shuai-feng, SUN Li-ming. Unsaturated infiltration characteristics and stability of fly ash dams under flood conditions[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(S2): 157-162. DOI: 10.11779/CJGE2020S2028
[4]	DENG Hua-feng, WANG Zhe, LI Jian-lin, JIANG Qiao, ZHANG Heng-bin. Effect of unloading rate and pore water pressure on mechanical properties of sandstone[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(11): 1976-1983. DOI: 10.11779/CJGE201711004
[5]	LI Zhuo, HE Yong-jun, SHENG Jin-bao, LI Hong-en, LI Zheng, YANG Yang. Landslide model for slope of reservoir bank under combined effects of rainfall and reservoir water level[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(3): 452-459. DOI: 10.11779/CJGE201703008
[6]	SHAO Shuai, YANG Chun-ming, SHAO Sheng-jun. Construction method for anchoring face rockfill dam and its stability[J]. Chinese Journal of Geotechnical Engineering, 2016, 38(z2): 61-66. DOI: 10.11779/CJGE2016S2010
[7]	TANG Dong, QI Xiao-hui, JIANG Shui-hua, LI Dian-qing. Effect of different antecedent rainfalls and SWCCs on slope stability[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(zk1): 148-155. DOI: 10.11779/CJGE2015S1029
[8]	HAN Xue-feng, KWONG A K L, THAM L G, ZHAO Wei-Bing. Variation law of pore water pressure in soil improved by underwater vacuum preloading method[J]. Chinese Journal of Geotechnical Engineering, 2008, 30(5): 658-662.
[9]	YIN Jianhua, CHEN Jian, LEE Chack fan. A rigid finite element method for upper bound limit analysis of soil slopes subjected to pore water pressure[J]. Chinese Journal of Geotechnical Engineering, 2003, 25(3): 273-277.
[10]	Shen Ruifu, Wang Hongjin, Zhou Keji, Zhou Jingxing. Building-up Of Pore Water Pressure under Cyclic Rotation of Principal Stress and Evaluation of Stability of Seabed Deposit[J]. Chinese Journal of Geotechnical Engineering, 1994, 16(3): 70-78.