基于Merchant模型的饱和土体热固结理论研究
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摘要
为探究热力耦合作用下土体的流变特性,在广义Merchant三元件模型基础上,引入温度膨胀系数和温度影响下的黏滞系数等元件参数,建立饱和土体三元件热流变模型;推导瞬时加载时在单面排水边界条件下的解析解,并进行算例分析。结果表明:固结压力一定时,温度升高会加速土体固结;弹性模量对土体孔压和固结度影响较大,其中Kelvin体弹簧的弹性模量对孔压的影响较独立弹簧的弹性模量大;弹簧的膨胀系数对土体孔压消散不产生影响;温度升高会导致孔压曲线的间距逐渐缩小,说明孔压值的变化不仅与黏滞系数的变化有关,也与温度增长系数有关。
The coefficient of heat expansion and the viscosity varying with temperature are introduced into Merchant model of three components to establish the three-component thermo-rheological model of saturated soil in order to describe the rheological properties of soil under thermo-mechanical coupling. The analytical solution is deduced under the condition of instantaneous loading at single-side drainage boundary and the case analysis is given. The results show that when the consolidation pressure is constant,the increasing of temperature accelerates the consolidation of soil. The elastic modulus has great influence on the pore pressure and the degree of consolidation. The elastic modulus of the Kelvin spring has greater influence on the pore pressure than the elastic modulus of the independent spring. The expansion coefficient of spring has no effect on the dissipation of pore pressure in soil. The variation of pore pressure is related not only to the variation of viscosity coefficient,but also to the increasing of temperature. The increasing of temperature causes the spaces between the pore pressure curve to be narrower gradually,indicating that the change of pore pressure is related not only to the change of viscosity coefficient but also to the growth coefficient of temperature.
The coefficient of heat expansion and the viscosity varying with temperature are introduced into Merchant model of three components to establish the three-component thermo-rheological model of saturated soil in order to describe the rheological properties of soil under thermo-mechanical coupling. The analytical solution is deduced under the condition of instantaneous loading at single-side drainage boundary and the case analysis is given. The results show that when the consolidation pressure is constant,the increasing of temperature accelerates the consolidation of soil. The elastic modulus has great influence on the pore pressure and the degree of consolidation. The elastic modulus of the Kelvin spring has greater influence on the pore pressure than the elastic modulus of the independent spring. The expansion coefficient of spring has no effect on the dissipation of pore pressure in soil. The variation of pore pressure is related not only to the variation of viscosity coefficient,but also to the increasing of temperature. The increasing of temperature causes the spaces between the pore pressure curve to be narrower gradually,indicating that the change of pore pressure is related not only to the change of viscosity coefficient but also to the growth coefficient of temperature.
引文
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[2]MA?íN D,KHALILI N.A thermo-mechanical model for variably saturated soils based on hypoplasticity[J].International Journal for Numerical and Analytical Methods in Geomechanics,2012,36(12):1 461–1 485.
[3]邵玉娴,施斌,刘春,等.黏性土水理性质温度效应研究[J].岩土工程学报,2011,33(10):1 576–1 582.(SHAO Yuxian,SHI Bin,LIU Chun,et al.Temperature effect on hydro-physical properties of clayey soils[J].Chinese Journal of Geotechnical Engineering,2011,33(10):1 576–1 582.(in Chinese))
[4]张志超,程晓辉.饱和土非等温固结和不排水剪切的热力学本构模型[J].岩土工程学报,2013,35(7):1 297–1 306.(ZHANG Zhichao,CHENG Xiaohui.Thermodynamic constitutive model of soils under isothermal consolidation and undrained shear[J].Chinese Journal of Geotechnical Engineering,2013,35(7):1 297–1 306.(in Chinese))
[5]MORITZ L.Geotechnical properties of clay at elevated temperatures[J].Bmc Complementary and Alternative Medicine,1995,15(1):1–7.
[6]ABUEL-NAGA H M,BERGADO D T,BOUAZZA A,et al.Volume change behaviour of saturated clays under drained heating conditions:experimental results and constitutive modeling[J].Canadian Geotechnical Journal,2007,44(8):942–956.
[7]白冰,赵晓龙,许韬.多级升温及降温引起的饱和红黏土的热响应试验研究[J].岩石力学与工程学报,2016,37(1):25–32.(BAI Bing,ZHAO Xiaolong,XU Tao.An experimental study of thermal response of saturated red clay subjected to progressively heating and cooling processes[J].Chinese Journal of Rock Mechanics and Engineering,2016,37(1):25–32.(in Chinese))
[8]王奎华,谢康和,曾国熙.双面半透水边界的一维粘弹性固结理论[J].岩土工程学报,1998,20(2):34–36.(WANG Kuihua,XIE Kanghe,ZENG Guoxi.A study on 1-D Consolidation of soils exhibiting rheological characteristics with impeded boundaries[J].Chinese Journal of Geotechnical Engineering,1998,20(2):34–36.(in Chinese))
[9]谢新宇,李金柱,王文军.宁波软土流变试验及经验模型[J].浙江大学学报:工学版,2012,46(1):64–71.(XIE Xinyu,LI Jinzhu,WANG Wenjun.Rheological test and empirical model of Ningbo soft soil[J].Journal of Zhejiang University:Engineering Science,2012,46(1):64–71.(in Chinese))
[10]邓宗伟,唐葭,朱志祥.基于改进西元模型的软土流变一维固结解析[J].湖南大学学报:自然科学版,2014,41(6):85–91.(DENG Zongwei,TANG Jia,ZHU Zhixiang.Analytical solution for rheological one-dimensional consolidation of soft soil based on improved nishihara model[J].Journal of Hunan University:Natural Science,2014,41(6):85–91.(in Chinese))
[11]邵勇,阎长虹,许宝田.湖相软土流变模型识别及其工程应用分析[J].岩土工程学报,2012,33(8):2 383–2 394.(SHAO Yong,YAN Changhong,XU Baotian,et al.Identification on theological model of lacustrine soft soil and its engineering application[J].Chinese Journal of Geotechnical Engineering,2012,33(8):2 383–2 394.(in Chinese))
[12]王宏贵,魏丽敏,贺晓光.根据长期单向压缩试验结果确定三维流变模型参数[J].岩土工程学报,2006,28(5):669–673.(WANG Honggui,WEI Limin,HE Xiaoguang.Determination of three-dimensional rheological parameters based on long term oedometer test[J].Chinese Journal of Geotechnical Engineering,2006,28(5):669–673.(in Chinese))
[13]李西斌.线性流变固结模型参数的回归反演分析法[J].南昌大学学报:工学版,2012,34(3):233–238.(LI Xibin.A regression analysis method to determine parameters of linear rheological consolidation models[J].Journal of Nanchang University Engineering and Technology,2012,34(3):233–238.(in Chinese))
[14]刘干斌,范思婷,叶俊能.温控动三轴试验装置的研制及研究[J].岩石力学与工程学报,2015,34(7):1 345–1 352.(LIU Ganbin,FAN Siting,YE Junneng.Development and application of temperaturecontrolled dynamic triaxial test system[J].Chinese Journal of Rock Mechanics and Engineering,2015,34(7):1 345–1 352.(in Chinese))
[15]郭鹏辉,林玉祥,胡燕.区域性温度因素对饱和粘土固结的影响[J].煤田地质与勘探,2012,40(2):62–66.(GUO Penghui,LIN Yuxiang,HU Yan.The regional temperature effects on consolidation of saturated clays[J].Coal Geology and Exploration,2012,40(2):62–66.(in Chinese))
[16]张鸿雁,流体力学[M].2版.北京:科学出版社,2014:1–273.(ZHANG Hongyan.Fluid mechanics[M].2nd ed.Beijing:Science Press,2004:1–273.(in Chinese))