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| Coupled model for one-dimensional nonlinear consolidation and#br#
heat conduction in saturated clay |
| JIANG Wenhao1,2,3,FENG Chen1,2,3,LI Jiangshan1,3 |
(1. State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Science,Wuhan,Hubei 430071,China;2. University of Chinese Academy of Sciences,Beijing 100049,China;3. Hubei Province Key Laboratory of Contaminated Sludge and Soil Science and Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Science,Wuhan,Hubei 430071,China)
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Abstract To investigate the coupled problem of one-dimensional nonlinear consolidation and heat conduction in saturated clay,the governing equations for nonlinear consolidation and heat conduction are derived considering the effects of temperature change on the physical and mechanical properties of clay,and a corresponding coupled model is established. This model can consider the interaction between nonlinear consolidation process and heat conduction process. Later,the finite difference method is adopted to solve the proposed coupled model,and the rationality of the model is effectively verified by comparing it with the calculation results of COMSOL software and other analytical solutions. Based on the presented coupled model,an example is used to analyze the influences of temperature increment ΔT,pre-consolidation pressure pcR and linear loading time ta on the consolidation behaviors. The results show that the temperature change has comprehensive effects on the nonlinear consolidation process,the increase of ΔT generally accelerates the dissipation rate of excess pore-water pressure,and also increases the settlement rate and final settlement. The dissipation rate of excess pore-water pressure in saturated clay increases with an increasing pcR,while the settlement decreases with an increasing pcR. The increase of ta reduces the maximum excess pore-water pressure generated in saturated clay,and also slows down the consolidation rate. In addition,it is observed that the consolidation degree Us defined by settlement is less than the consolidation degree Up defined by pore pressure during the consolidation process.
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[1] TERZAGHI K. Erdbaumechanik auf bodenphysikalischer grundlage[M]. Vienna:Leipzig Deuticke,1925:175–176.
[2] 文新伦. 多层地基Terzaghi一维固结解[J]. 岩土工程学报,2010,32(增2):29–32.(WEN Xinlun. Solution of one-dimensional Terzaghi consolidation for multi-layered soils[J]. Chinese Journal of Geotechnical Engineering,2010,32(Supp.2):29–32.(in Chinese))
[3] CHEN D Q,LUO J H,LIU X L,et al. Improved double-layer soil consolidation theory and its application in marine soft soil engineering[J]. Journal of Marine Science and Engineering,2019,7(5):156.
[4] 金超奇,徐长节,江 平,等. 考虑渗透系数随时间变化及固结状态影响的一维固结计算[J]. 土木与环境工程学报(中英文),2022,44(5):157–164.(JIN Chaoqi,XU Changjie,JIANG Ping,et al. One dimensional consolidation calculation considering the change of permeability coefficient with time and the influence of consolidation state[J]. Journal of Civil and Environmental Engineering,2022,44(5):157–164.(in Chinese))
[5] LEKHA K R,KRISHNASWAMY N R,BASAK P. Consolidation of clays for variable permeability and compressibility[J]. Journal of Geotechnical and Geoenvironmental Engineering,2003,129(11):1 001–1 009.
[6] ABBASI N,RAHIMI H,JAVADI A A,et al. Finite difference approach for consolidation with variable compressibility and permeability[J]. Computers and Geotechnics,2007,34(1):41–52.
[7] LI C,HUANG J,WU L,et al. Approximate analytical solutions for one-dimensional consolidation of a clay layer with variable compressibility and permeability under a ramp loading[J]. International Journal of Geomechanics,2018,18(11):06018032.
[8] 宗梦繁,吴文兵,梅国雄,等. 连续排水边界条件下土体一维非线性固结解析解[J]. 岩石力学与工程学报,2018,37(12):2 829–2 838. (ZONG Mengfan,WU Wenbing,MEI Guoxiong,et al. An analytical solution for one-dimensional nonlinear consolidation of soils with continuous drainage boundary[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(12):2 829–2 838.(in Chinese))
[9] KIM P,RI K S,KIM Y G,et al. Nonlinear consolidation analysis of a saturated clay layer with variable compressibility and permeability under various cyclic loadings[J]. International Journal of Geomechanics,2020,20(8):04020111.
[10] 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.
[11] ABUEL-NAGA H M,BERGADO D T,CHAIPRAKAIKEOW S. Innovative thermal technique for enhancing the performance of prefabricated vertical drain system[J]. Geotextiles and Geomembranes,2006,24(6):359–370.
[12] 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.
[13] 何 俊,胡晓瑾,颜 兴,等. 黏土渗透性温度效应试验[J]. 水利水电科技进展,2017,37(3):55–60.(HE Jun,HU Xiaojin,YAN Xing,et al. Experiments on temperature effect on conductivity of compacted clay[J]. Advances in Science and Technology of Water Resource,2017,37(3):55–60.(in Chinese))
[14] 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))
[15] 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))
[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] 吴瑞潜,谢康和,程永锋. 变荷载下饱和土一维热固结解析理论[J]. 浙江大学学报:工学版,2009,43(8):1 532–1 537.(WU Ruiqian,XIE Kanghe,CHENG Yongfeng. Analytical theory for one-dimensional thermal consolidation of saturated soil under time-dependent loading[J]. Journal of Zhejiang University:Engineering Science,2009,43(8):1 532–1 537.(in Chinese))
[18] 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.
[19] WANG L,WANG L. Semianalytical analysis of creep and thermal consolidation behaviors in layered saturated clays[J]. International Journal of Geomechanics,2020,20(4):06020001.
[20] 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.
[21] DELAGE P,SULTAN N,CUI Y J. On the thermal consolidation of boom clay[J]. Canadian Geotechnical Journal,2000,37(2):343–354.
[22] ABUEL-NAGA H M,BERGADO D T,BOUAZZA A. Thermally induced volume change and excess pore water pressure of soft Bangkok clay[J]. Engineering Geology,2007,89(1–2):144–154.
[23] DI DONNA A,LALOUI L. Response of soil subjected to thermal cyclic loading:experimental and constitutive study[J]. Engineering Geology,2015,190:65–76.
[24] 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))
[25] LOTFI E,DELFAN S,HAMIDI A,et al. A numerical approach for one dimensional thermal consolidation of clays[J]. International Journal of Civil Engineering,2014,12(1):381–388.
[26] 郭 华,刘干斌,郑荣跃,等. 基于Merchant模型的饱和土体热固结理论研究[J]. 岩石力学与工程学报,2018,37(6):1 489–1 495. (GUO Hua,LIU Ganbin,ZHENG Rongyue,et al. Thermal consolidation theory of saturated soils based on Merchant model[J] Chinese Journal of Rock Mechanics and Engineering,2018,37(6): 1 489–1 495.(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] 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))
[29] 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.
[30] LALOUI L,LEROUEIL S,CHALINDAR S. Modelling the combined effect of strain rate and temperature on one-dimensional compression of soils[J]. Canadian Geotechnical Journal,2008,45(12):1 765–1 777.
[31] 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))
[32] 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.
[33] 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))
[34] 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.
[35] JOSHAGHANI M,GHASEMI-FARE O. Exploring the effects of temperature on intrinsic permeability and void ratio alteration through temperature-controlled experiments[J]. Engineering Geology,2021,293:106299.
[36] 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))
[37] LI J,JIANG W,GE S,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.
[38] 吴瑞潜. 饱和土一维热固结解析理论研究[博士学位论文][D]. 杭州:浙江大学,2008.(WU Ruiqian. Analytical study on one-dimensional thermal consolidation theory of saturated soil[Ph. D. Thesis][D]. Hangzhou:Zhejiang University,2008.(in Chinese))
[39] 邓凡凡,刘加才. 渗透系数非线性的一维热固结分析[J]. 南京工业大学学报:自然科学版,2014,36(6):111–117.(DENG Fanfan,LIU Jiacai. One-dimensional heat consolidation analysis on nonlinear permeability coefficient[J]. Journal of Nanjing Tech University:Natural Science,2014,36(6):111–117.(in Chinese))
[40] BEAR J. Dynamics of fluids in porous media[M]. New York:American Elsevier,1972:1–42.
[41] ZHANG Z,MASUM S A,TIAN G,et al. Modelling non-isothermal volume change and solute transport behaviours of a semi-permeable clay soil under the combined influence of mechanical loading,chemical-osmosis,and thermo-osmosis[J]. Engineering Geology,2021,293:106271.
[42] 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.
[43] 尹铁锋,刘干斌,郭 桢. 宁波地区典型软黏土热固结特性理论与试验研究[J]. 建筑结构,2014,44(8):66–69.(YIN Tiefeng,LIU Ganbin,GUO Zhen. Theoretical and experimental study on thermal consolidation characteristics of typical soft clay in Ningbo region[J]. Building Structure,2014,44(8):66–69.(in Chinese))
[44] 江辉煌,刘国楠,赵有明. Gibson一维固结方程的一种求解方法[J]. 岩土工程学报,2010,32(5):745–750.(JIANG Huihuang,LIU Guonan,ZHAO Youming. A solution of Gibson?s governing equation of one-dimensional consolidation[J]. Chinese Journal of Geotechnical Engineering,2010,32(5):745–750.(in Chinese))
[45] 江文豪,詹良通,郭晓刚. 吹填软土一维大变形自重固结的有限差分数值解[J]. 土木工程学报,2020,53(12):114–123.(JIANG Wenhao,ZHAN Liangtong,GUO Xiaogang. Finite difference numerical solution of one-dimensional large strain and self-weight consolidation of dredged-fill soil[J]. China Civil Engineering Journal,2020,53(12):114–123.(in Chinese))
[46] SENEVIRATNE H N,CARTER J P,AIREY D W,et al. A review of models for predicting the thermomechanical behaviour of soft clays[J]. International Journal for Numerical and Analytical Methods in Geomechanics,1993,17(10):715–733.
[47] LI C,XIAO J,WU W,et al. Analysis of 1D large strain consolidation of structured marine soft clays[J]. Journal of Zhejiang University- Science A:Applied Physics and Engineering,2020,21(1):29–43. |
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