热–力荷载作用下考虑有效孔隙比的饱和黏土一维非线性热固结耦合机制研究

doi:10.3724/1000-6915.jrme.2024.0897

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (1910 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract ey soils are widely distributed in thermal-related geotechnical engineering projects, and their consolidation behavior under non-isothermal conditions significantly influences the long-term stability of engineering structures. Additionally, clays commonly contain bound water, which occupies a portion of the pore space and is incapable of free seepage. In this context, the effective void ratio is introduced to characterize the pore characteristics of saturated clay, and a one-dimensional model of nonlinear thermal consolidation under thermal-mechanical loading is developed. This model first accounts for the impact of temperature variation on the compressibility and permeability of saturated clay. To address the pore water migration caused by the temperature gradient, the thermal-osmosis effect is considered to more accurately reflect the seepage properties. Furthermore, the mechanisms of conduction, convection, and thermo-mechanical dispersion are integrated to investigate the heat transfer process. By employing semi-permeable and semi-adiabatic boundary conditions that closely resemble engineering realities, the coupled control equations and numerical solutions for the current model are derived, and their accuracy is verified through degradation analysis and case studies. Subsequently, a parameter sensitivity analysis is conducted to explore the influence of critical parameters on consolidation performance, revealing the coupling mechanisms between nonlinear consolidation and heat transfer. The results indicate that the presence of semi-adiabatic boundaries significantly alters the temperature distribution within the clay layer, which in turn affects permeability at different depths. Moreover, an increase in the effective void ratio can facilitate the heat transfer process, leading to higher final excess pore water pressure and increased final settlement. The inclusion of thermal-osmosis slows down pore water dissipation and exacerbates soil swelling phenomena. Factors such as improved drainage boundaries, shorter heating durations, fewer loading frequencies, or greater temperature gradients contribute to faster consolidation.

Key words： soil mechanics saturated clay temperature effect nonlinear thermal consolidation effective void ratio thermal-osmosis effect semi-adiabatic boundary

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	SUN Jinxin1
	2
	3
	4
	LI Jiangshan1
	3
	4
	WANG Ping1
	3
	4
	HAN Lijun1
	3
	4
	XUE Qiang1
	2
	3
	4

Cite this article:

SUN Jinxin1,2,3, et al. Coupling mechanisms for the one-dimensional nonlinear thermal consolidation of saturated clay under thermal-mechanical loading with consideration of effective void ratio[J]. , 2025, 44(7): 1933-1949.

URL:

https://rockmech.whrsm.ac.cn/EN/10.3724/1000-6915.jrme.2024.0897 OR https://rockmech.whrsm.ac.cn/EN/Y2025/V44/I7/1933

[1]	孔纲强，常洪林，王天赐，等. 区域尺度地埋管地源热泵与能源地下结构开采浅层地热能评价综述[J]. 岩土力学，2024，45(5)：1 265-1 283.(KONG Gangqiang，CHANG Honglin，WANG Tianci，et al. Review on the evaluation of ground-coupled heat pump and energy geostructures to exploit shallow geothermal energy with regional scale[J]. Rock and Soil Mechanics，2024，45(5)：1 265-1 283.(in Chinese))
[2]	XUE Q，ZHAO Y，LI Z Z，et al. Numerical simulation on the cracking and failure law of compacted clay lining in landfill closure cover system[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2014，38(15)：1 556-1 584.
[3]	牛琳琳，陈群策，丰成君，等. 新疆某高放废物预选处置库区地应力测量研究[J]. 岩石力学与工程学报，2017，36(4)：917-927.(NIU Linlin，CHEN Qunce，FENG Chengjun，et al. In-situ stress measurement of candidate area for high level radioactive waste repository in Xinjiang[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(4)：917-927.(in Chinese))
[4]	王炳辉，栾佶，张雷，等. 电渗热固结处理顶管废弃泥浆的减量化研究[J]. 地下空间与工程学报，2024，20(2)：507-517.(WANG Binghui，LUAN Ji，ZHANG Lei，et al. Reduction utilization of waste slurry using electro-osmosis thermal consolidation[J]. Chinese Journal of Underground Space and Engineering，2024，20(2)：507-517.(in Chinese))
[5]	JAFARI N H，STARK T D，THALHAMER T. Spatial and temporal characteristics of elevated temperatures in municipal solid waste landfills[J]. Waste Management，2017，59：286-301.
[6]	ABUEL-NAGA H M，BERGADO D T，LIM B F. Effect of temperature on shear strength and yielding behavior of soft Bangkok clay[J]. Soils and Foundations，2007，47(3)：423-436.
[7]	DI DONNA A，LALOUI L. Response of soil subjected to thermal cyclic loading：experimental and constitutive study[J]. Engineering Geology，2015，190：65-76.
[8]	LI C H，KONG G Q，LIU H L，et al. Effect of temperature on behaviour of red clay-structure interface[J]. Canadian Geotechnical Journal，2019，56(1)：126-134.
[9]	邓岳保，毛伟赟，孔纲强，等. 考虑温度影响的饱和土有效应力原理[J]. 清华大学学报：自然科学版，2020，60(9)：726-732.(DENG Yuebao，MAO Weiyun，KONG Gangqiang，et al. Effective stress principle in saturated soil with the effect of temperature[J]. Journal of Tsinghua University：Science and Technology，2020，60(9)：726-732.(in Chinese))
[10]	白冰. 岩土颗粒介质非等温一维热固结特性研究[J]. 工程力学，2005，22(5)：186-191.(BAI Bing. One-dimensional thermal consolidation characteristics of geotechnical media under non-isothermal condition[J]. Engineering Mechanics，2005，22(5)：186-191.(in Chinese))
[11]	ZHANG Z，CHENG X. A fully coupled THM model based on a non-quilibrium thermodynamic approach and its application[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2017，41(4)：527-554.
[12]	PAASWELL R E. Temperature effects on clay soil consolidation[J]. Journal of the Soil Mechanics and Foundations Division，1967，93(3)：9-22.
[13]	BAI B，SHI X Y. Experimental study on the consolidation of saturated silty clay subjected to cyclic thermal loading[J]. Geomechanics and Engineering，2017，12(4)：707-721.
[14]	ZAGORŠ?AK R，SEDIGHI M，THOMAS H R. Effects of thermo-osmosis on hydraulic behavior of saturated clays[J]. International Journal of Geomechanics，2017，17(3)：04016068.
[15]	SONG Z，LIANG F Y，CHEN S Y. Thermo-osmosis and mechano-caloric couplings on THM responses of porous medium under point heat source[J]. Computers and Geotechnics，2019，112：93-103.
[16]	叶智刚，王路君，朱斌，等. 考虑热渗效应的高温管道-饱和地基相互作用研究[J]. 岩土力学，2021，42(3)：691-699.(YE Zhigang，WANG Lujun，ZHU Bin，et al. Numerical study on heated pipe-saturated soil foundation interaction considering thermo-osmosis effect[J]. Rock and Soil Mechanics，2021，42(3)：691-699.(in Chinese))
[17]	张宇宁，陈宇龙，李博. 饱和黏土的一维热固结特性试验研究[J]. 东北大学学报：自然科学版，2016，37(12)：1 794-1 799.(ZHANG Yuning，CHEN Yulong，LI Bo. Experimental study of one-dimensional thermal consolidation of saturated clays[J]. Journal of Northeastern University：Natural Science，2016，37(12)：1 794-1 799.(in Chinese))
[18]	TSUTSUMI A，TANAKA H. Combined effects of strain rate and temperature on consolidation behavior of clayey soils[J]. Soils and Foundations，2012，52(2)：207-215.
[19]	CHO W J，LEE J O，CHUN K S. The temperature effects on hydraulic conductivity of compacted bentonite[J]. Applied Clay Science，1999，14(1-3)：47-58.
[20]	王媛，施斌，高磊，等. 黏性土渗透性温度效应实验研究[J]. 工程地质学报，2010，18(3)：351-356.(WANG Yuan，SHI Bin，GAO Lei，et al. Laboratory tests for temperature effects of clayey soil permeability[J]. Journal of Engineering Geology，2010，18(3)：351-356.(in Chinese))
[21]	CHEN W Z，MA Y S，YU H D，et al. Effects of temperature and thermally-induced microstructure change on hydraulic conductivity of Boom Clay[J]. Journal of Rock Mechanics and Geotechnical Engineering，2017，9(3)：383-395.
[22]	CAMPANELLA R G，MITCHELL J K. Influence of temperature variations on soil behavior[J]. ASCE Journal of Soil Mechanics and Foundations Division，1968，94(SM3)：709-734.
[23]	LI A，CHEN Z J，FENG W Q，et al. The effects of temperature on one-dimensional consolidation and creep behaviors of hong kong marine deposits[J]. International Journal of Geomechanics，2023，23(12)：04023215.
[24]	CUI Y J，LE T T，TANG A M，et al. Investigating the time-dependent behaviour of Boom clay under thermomechanical loading[J]. Géotechnique，2009，59(4)：319-329.
[25]	费康，戴迪，付长郓. 热-力耦合作用下黏性土体积变形特性试验研究[J]. 岩土工程学报，2019，41(9)：1 752-1 758.(FEI Kang，DAI Di，FU Changyun. Experimental study of the volume change behavior of clay subjected to thermo-mechanical loads[J]. Chinese Journal of Geotechnical Engineering，2019，41(9)：1 752-1 758.(in Chinese))
[26]	邓岳保，王天园，孔纲强. 考虑温度效应的饱和土地基固结理论[J].岩土工程学报，2019，41(10)：1 827-1 835.(DENG Yuebao，WANG Tianyuan，KONG Gangqiang. Consolidation theory for saturated ground considering temperature effects[J]. Chinese Journal of Geotechnical Engineering，2019，41(10)：1 827-1 835.(in Chinese))
[27]	钮家军，凌道盛，王秀凯，等. 饱和单层土体一维热固结精确解[J]. 岩土工程学报，2019，41(9)：1 715-1 723.(NIU Jiajun，LING Daosheng，WANG Xiukai，et al. Exact solutions for one-dimensional thermal consolidation of single-layer saturated soil[J]. Chinese Journal of Geotechnical Engineering，2019，41(9)：1 715-1 723.(in Chinese))
[28]	MORTEZA ZEINALI S，ABDELAZIZ S L. Thermal consolidation theory[J]. Journal of Geotechnical and Geoenvironmental Engineering，2021，147(1)：04020147.
[29]	BIOT M A. Thermoelasticity and irreversible thermodynamics[J]. Journal of Applied Physics，1956，27(3)：240-253.
[30]	孙德安，薛垚，汪磊. 变荷载作用下考虑半透水边界热传导性的一维饱和土热固结特性研究[J]. 岩土力学，2020，41(5)：1 465-1 473.(SUN Dean，XUE Yao，WANG Lei. Analysis of one-dimensional thermal consolidation of saturated soil considering heat conduction of semi-permeable drainage boundary under varying loading[J]. Rock and Soil Mechanics，2020，41(5)：1 465-1 473.(in Chinese))
[31]	江文豪，李江山，黄啸，等. 非等温分布条件下考虑半透水边界时饱和黏土的一维固结解析解[J]. 岩土力学，2022，43(10)：2 744-2 756.(JIANG Wenhao，LI Jiangshan，HUANG Xiao，et al. Analytical solution for one-dimensional consolidation of saturated clay considering partial drainage boundary under non-isothermal distribution condition[J]. Rock and Soil Mechanics，2022，43(10)：2 744-2 756. (in Chinese))
[32]	WANG L J，WANG L H. Semianalytical analysis of creep and thermal consolidation behaviors in layered saturated clays[J]. International Journal of Geomechanics，2020，20(4)：06020001.
[33]	XIE J H，WEN M J，TU Y，et al. Thermal consolidation of layered saturated soil under time-dependent loadings and heating considering interfacial flow contact resistance effect[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2024，48(5)：1 123-11 59.
[34]	MENG H P，QIN A F，JIANG L H，et al. Thermal consolidation modeling of unsaturated soil with semi-permeable boundary：Semi-analytical and numerical investigation[J]. Annals of Nuclear Energy，2024，200：110376.
[35]	LIU Q，DENG Y B，WANG T Y. One-dimensional nonlinear consolidation theory for soft ground considering secondary consolidation and the thermal effect[J]. Computers and Geotechnics，2018，104：22-28.
[36]	LU M M，SUN J X，LI K. One-dimensional thermal consolidation analysis of saturated clay with variable compressibility and permeability considering partial drainage boundaries[J]. Computers and Geotechnics，2023，164：105806.
[37]	江文豪，冯晨，李江山. 饱和黏土一维非线性固结与热传导耦合模型[J]. 岩石力学与工程学报，2023，42(10)：2 588-2 600.(JIANG Wenhao，FENG Chen，LI Jiangshan. Coupled model for one-dimensional nonlinear consolidation and heat conduction in saturated clay[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(10)：2 588-2 600.(in Chinese))
[38]	周亚东，李龙辉，陈思源. 饱和土一维大变形非线性热固结模型[J]. 岩石力学与工程学报，2023，42(9)：2 306-2 314.(ZHOU Yadong，LI Longhui，CHEN Siyuan. One-dimensional large strain nonlinear thermal consolidation model for saturated soil[J]. Chinese Journal of Rock Mechanics and Engineering，2023，42(9)：2 306-2 314.(in Chinese))
[39]	BONS P D，VAN MILLIGEN B P，BLUM P. A general unified expression for solute and heat dispersion in homogeneous porous media[J]. Water Resources Research，2013，49(10)：6 166-6 178.
[40]	HENDRY M J，WASSENAAR L I. Controls on the distribution of major ions in pore waters of a thick surficial aquitard[J]. Water Resources Research，2000，36(2)：503-513.
[41]	莫燕坤，刘观仕，牟智，等. 黏土中结合水含量测试方法研究进展[J]. 土工基础，2021，35(3)：393-399.(MO Yankun，LIU Guanshi，MOU Zhi，et al. State of the art review of testing methods of bound water content in clay[J]. Soil Engineering and Foundation，2021，35(3)：393-399.(in Chinese))
[42]	MEEGODA N J，GUNASEKERA S D. A new method to measure the effective porosity of clays[J]. Geotechnical Testing Journal，1992，15(4)：340-351.
[43]	KIM J Y，EDIL T B，PARK J K. Effective porosity and seepage velocity in column tests on compacted clay[J]. Journal of Geotechnical and Geoenvironmental Engineering，1997，123(12)：1 135-1 142.
[44]	党发宁，刘海伟，王学武，等. 基于有效孔隙比的黏性土渗透系数经验公式研究[J]. 岩石力学与工程学报，2015，34(9)：1 909-1 917. (DANG Faning，LIU Haiwei，WANG Xuewu，et al. Empirical formulas of permeability of clay based on effective pore ratio[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(9)：1 909-1 917.(in Chinese))
[45]	张乐. 考虑孔隙比和渗透系数变化的变荷载黏性土固结新理论[博士学位论文][D]. 西安：西安理工大学，2022.(ZHANG Le. A consolidation theory of variable-load cohesive soils considering the variations of void ratio and permeability coefficient[Ph. D. Thesis][D]. Xi?an：Xi?an University of Technology，2022.(in Chinese))
[46]	WANG C，FOX P J. Analytical solutions for heat transfer in saturated soil with effective porosity[J]. Journal of Geotechnical and Geoenvironmental Engineering，2020，146(9)：04020095.
[47]	CEKEREVAC C，LALOUI L. Experimental study of thermal effects on the mechanical behaviour of a clay[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2004，28(3)：209-228.
[48]	HU A F，XIA C Q，CUI J，et al. Nonlinear consolidation analysis of natural structured clays under time-dependent loading[J]. International Journal of Geomechanics，2018，18(2)：04017140.
[49]	HILLEL D. Fundamentals of soil physics[M]. Orlando，Florida：Academic Press，2013：1-66.
[50]	LI J S，JIANG W H，GE S Q，et al. General analytical solutions for one-dimensional nonlinear consolidation of saturated clay under non-isothermal distribution condition[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2022，46(10)：1 811-1 830.