Abstract：Based on the piecewise-linear finite difference approach，an one-dimensional large strain nonlinear thermal consolidation model for saturated soil，called TCS2，is presented. The model couples soil heat conduction with consolidation deformation，and accounts for the soil self-weight，large strain，variable hydraulic conductivity and compressibility，and nonlinear variation of soil parameters during the thermal consolidation process. The Fortran was used to compile the calculation program，and then the model was validated. The numerical solutions of TCS2 involving small strain are in good agreement with the analytical solution of thermal consolidation based on the assumption of small deformation. Under the large strain nonlinear condition，the calculation results of TCS2 are basically consistent with the measured values of laboratory tests. Then，the effects of soil self-weight，large strain and stress path on thermal consolidation of saturated soils were further investigated using example problems. Neglecting the soil self-weight，consolidation deformation and the simplified compressibility and hydraulic permeability relationships will lead to significant errors in a thermal consolidation analysis.
BIOT M A. Thermoelasticity and irreversible thermodynamics[J]. Journal of Applied Physics，1956，27(3)：240-253.
[1]
BIOT M A. General theory of three-dimensional consolidation[J]. Journal of Applied Physics，1941，12(2)：155-164.
[16]
FAROUKI O T. Thermal properties of soils[R]. Hanover (N. H.)：US Army Corps of Engineers，Cold Regions Research and Engineering Laboratory，1981.
[3]
PAASWELL R E. Temperature effects on clay consolidation[J]. Journal of Soil Mechanics and Foundation Engineering Division，1967，93(3)：9-21.
[13]
FOX P J，BERLES J D. CS2：A piecewise-linear model for large strain consolidation[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1997，21(7)：453-475.
[18]
FOX P J，PU H. Enhanced CS2 Model for Large Strain Consolidation[J]. International Journal of Geomechanics，2012，12：574-583.
[9]
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 and Engineering，2019，41(9)：1 715-1 723.(in Chinese))
[19]
GIBSON R E，SCHIFFMAN R L，CARGILL K W. The theory of one-dimensional consolidation of saturated clays. II. Finite nonlinear consolidation of thick homogeneous layers[J]. Canadian Geotechnical Journal，1981，18(2)：280-293.
[4]
BOOKER J R，SAVVIDOU C. Consolidation around a point heat source[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1985，9(2)：173-184.
[5]
LALOUI L，CEKEREVAC C. Numerical simulation of the non-isothermal mechanical behaviour of soils[J]. Computers and Geotechnics，2008，35(5)：729-745.
[8]
BAI B. Thermal consolidation of layered porous half-space to variable thermal loading[J]. Applied Mathematics and Mechanics，2006，11(27)：1 531-1 539.
[10]
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))
[12]
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.
[14]
周亚东，邓 安，刘中宪，等. 考虑饱和度变化的一维电渗固结模型[J]. 岩土工程学报，2017，39(8)：1 524-1 529.(ZHOU Yadong，DENG An，LIU Zhongxian，et al. One-dimensional electroosmosis consolidation model considering variable saturation[J]. Chinese Journal of Geotechnical Engineering，2017，39(8)：1 524-1 529.(in Chinese))
[15]
杨 鹏，蒲诃夫，郑俊杰，等. 真空-堆载联合预压下竖井地基大变形非线性固结模型[J]. 岩石力学与工程学报，2019，38(10)：2 104-2 111.(YANG Peng，PU Hefu，ZHENG Junjie，et al. A large-strain nonlinear consolidation model of saturated soft soils stabilized by the vacuum-surcharge combined preloading method[J].Chinese Journal of Rock Mechanics and Engineering，2019，38(10)：2 104-2 111.(in Chinese))
[7]
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))
[17]
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，2004，28：209-228.
[6]
ZHOU Y，RAJAPAKSE R K N D，GRAHAM J. A coupled thermoporoelastic model with thermo-osmosis and thermal-filtration[J]. International Journal of Solids and Structures，1998，35(34/35)：4 659-4 683.
[11]
陶海冰，刘干斌，谢康和，等. 竖井地基热排水固结本构模型及试验验证[J]. 岩土工程学报，2015，37(6)：1 077-1 085.(TAO Haibing，LIU Ganbing，XIE Kanghe，et al. A constitutive model for thermal consolidation with vertical drains and its experimental verification[J]. Chinese Journal of Geotechnical Engineering，2015，37(6)：1 077-1 085.(in Chinese))
2023, Vol. 42 
