|
|
|
| ONE-DIMENSIONAL RHEOLOGICAL CONSOLIDATION ANALYSIS OF SATURATED CLAY CONSIDERING NON-DARCY FLOW |
| LIU Zhongyu,YAN Fuyou,WANG Xijun |
| (School of Civil Engineering,Zhengzhou University,Zhengzhou,Henan 450001,China) |
|
|
|
|
Abstract To further investigate the consolidation mechanism of saturated clay,the Merchant?s rheological model is introduced. The Hansbo?s equation,described by the power function for the lower velocity of flow and the linear function for the higher velocity of flow,is employed to describe the non-Darcy flow. Accordingly,the Terzaghi?s one-dimensional consolidation equation is modified,and its numerical analysis is conducted by finite volume method. In order to verify its validity,the numerical solution by finite volume method that the flow of pore water obeys Darcy?s law is compared with the analytical solution based on the one-dimensional rheological consolidation theory in literature. The effects of non-Darcy flow and Merchant model parameters on the rheological consolidation process are investigated. Numerical results indicate that the behaviours of non-Darcy flow and the rheological effects control the dissipation rate of pore water pressure in saturated clay layers,and thereby reduce the settlement rate of these soil layers. For a given degree of consolidation,the consolidation time considering both characteristics is much longer than that considering each of them separately. In addition,the degree of consolidation in terms of settlement is less than that associated with pore water pressure when considering the rheological effect.
|
|
Received: 18 December 2012
|
|
|
|
| [1] 黄文熙. 土的工程性质[M]. 北京:水利电力出版社,1983:130–238.(HUANG Wenxi. Engineering properties of soil[M]. Beijing:Water Resources and Electric Power Press,1983:130–238.(in Chinese))
[2] XIE K H,XIE X Y,JIANG W. A study on one-dimensional nonlinear consolidation of double-layered soil[J]. Computers and Geotechnics,2002,29(2):151–168.
[3] BATTAGLIO M,BONZANI I,CAMPOLO D. Nonlinear consolidation models of clay with time dependant drainage properties[J]. Mathematical and Computer Modelling,2005,42(5/6):613–620.
[4] 马崇武,刘忠玉. 考虑饱和黏土埋深影响的一维非线性固结[J]. 岩石力学与工程学报,2007,26(增2):4 372–4 377.(MA Chongwu,LIU Zhongyu. One-dimensional nonlinear consolidation considering buried depth of saturated clay layer[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(Supp.2):4 372–4 377.(in Chinese))
[5] 张 磊,孙树林. 变荷载下双曲线模型修正土体一维固结理论[J]. 岩石力学与工程学报,2007,26(增2):4 306–4 310.(ZHANG Lei,SUN Shulin. One-dimensional consolidation theory based on hyperbola model under time-dependent loading for saturated soil[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(Supp.2):4 306–4 310.(in Chinese))
[6] ADAMS J I. The engineering behavior of Canadian Muskey[C]// Proceedings of 6th ICSMFE. [S.l.]:[s.n.],1965:3–7.
[7] KABBAJ M,TAVENAS F,LEROUEIL S. In-situ and laboratory stress-strain relationship[J]. Geotechnique,1988,38(1):83–100.
[8] TAYLOR D W,MERCHANT W. A theory of clay consolidation accounting for secondary compression[J]. Journal of Mathematics and Physics,1940,19(3):167–185.
[9] TAN T K. Secondary time effects and consolidation of clays[J]. Scientia Sinica,1958,7(11):1 060–1 075.
[10] 李西斌,贾献林,谢康和. 变荷载下软土一维流变固结解析理论[J]. 岩土力学,2006,27(增):140–146.(LI Xibin,JIA Xianlin,XIE Kanghe. Analytical solution of 1D viscoelastic consolidation of soft soils under time-dependent loadings[J]. Rock and Soil Mechanics,2006,27(Supp.):140–146.(in Chinese))
[11] 王少媚,夏森炜,蒋 军. 循环荷载作用下黏弹性地基一维固结性状研究[J]. 岩土力学,2008,29(2):470–474.(WANG Shaomei,XIA Senwei,JIANG Jun. Study on one-dimensional consolidation behavior of saturated clay under cyclic loading[J]. Rock and Soil Mechanics,2008,29(2):470–474.(in Chinese))
[12] 孙海忠,张 卫. 一种分析软土黏弹性的分数导数开尔文模型[J]. 岩土力学,2007,28(9):1 983–1 986.(SUN Haizhong,ZHANG Wei. Analysis of soft soil with viscoelastic fractional derivative Kelvin model[J]. Rock and Soil Mechanics,2007,28(9):1 983–1 986.(in Chinese))
[13] YIN J H,GRAHAM J. Elastic visco-plastic modelling of one- dimensional consolidation[J]. Geotechnique,1996,46(3):515–527.
[14] YIN J H,ZHU J G. Elastic viscoplastic consolidation modelling and interpretation of pore-water pressure responses in clay underneath Tarsiut Island[J]. Canadian Geotechnical Journal,1999,36:708–717.
[15] 高彦斌. 饱和软黏土一维非线性流变–固结耦合分析[J]. 工程力学,2006,23(8):116–121.(GAO Yanbin. One-dimensional nonlinear creep-consolidation analysis of saturated clay[J]. Engineering Mechanics,2006,23(8):116–121.(in Chinese))
[16] HANSBO S. Aspects of vertical drain design: Darcian or non-Darcian flow[J]. Geotechnique,1997,47(5):983–992.
[17] 刘忠玉,刘忠广,马崇武. 考虑起始水力梯度时饱和黏土的一维固结[J]. 郑州大学学报:工学版,2006,27(3):21–24.(LIU Zhongyu,LIU Zhongguang,MA Chongwu. One-dimensional consolidation of saturated clays considering initial hydraulic gradient[J]. Journal of Zhengzhou University:Engineering Science,2006,27(3):21–24.(in Chinese))
[18] 刘忠玉,杨荣根. 考虑起始水力梯度时双层地基的一维固结[J]. 合肥工业大学学报:自然科学版,2006,29(5):568–572.(LIU Zhongyu,YANG Ronggen. One-dimensional consolidation of double- layered ground considering the initial hydraulic gradient[J]. Journal of Hefei University of Technology:Natural Science,2006,29(5):568–572.(in Chinese))
[19] 刘忠玉,张天航,马崇武. 起始水力梯度对饱和黏土一维固结的影响[J]. 岩土力学,2007,28(3):467–470.(LIU Zhongyu,ZHANG Tianhang,MA Chongwu. Effect of initial hydraulic gradient on one-dimensional consolidation of saturated clays[J]. Rock and Soil Mechanics,2007,28(3):467–470.(in Chinese))
[20] 谢海澜,武 强,赵增敏,等. 考虑非达西流的弱透水层固结计算[J]. 岩土力学,2007,28(5):1 061–1 065.(XIE Hailan,WU Qiang,ZHAO Zengmin,et al. Consolidation computation of aquitard considering non-Darcy flow[J]. Rock and Soil Mechanics,2007,28(5):1 061–1 065.(in Chinese))
[21] 刘忠玉,孙丽云,乐金朝,等. 基于非Darcy 渗流的饱和黏土一维固结理论[J]. 岩石力学与工程学报,2009,28(5):973–979.(LIU Zhongyu,SUN Liyun,YUE Jinchao,et al. One-dimensional consolidation theory of saturated clay based on non-Darcy flow[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(5):973–979.(in Chinese))
[22] 鄂 建,陈 刚,孙爱荣. 考虑低速非Darcy渗流的饱和黏性土一维固结分析[J]. 岩土工程学报,2009,31(7):1 115–1 119.(E Jian,CHEN Gang,SUN Airong. One-dimensional consolidation of saturated cohesive soil considering non-Darcy flows[J]. Chinese Journal of Geotechnical Engineering,2009,31(7):1 115–1 119.(in Chinese))
[23] 刘加才,雷国刚,王育新. 一维软土地基非达西流固结分析[J]. 岩土工程学报,2011,33(7):1 117–1 122.(LIU Jiacai,LEI Guogang,WANG Yuxin. One-dimensional consolidation of soft ground considering non-Darcy flows[J]. Chinese Journal of Geotechnical Engineering,2011,33(7):1 117–1 122.(in Chinese))
[24] 刘忠玉,纠永志,乐金朝,等. 基于非Darcy渗流的饱和黏土一维非线性固结分析[J]. 岩石力学与工程学报,2010,29(11):2 348–2 355. (LIU Zhongyu,JIU Yongzhi,YUE Jinchao,et al. One-dimensional nonlinear consolidation analysis of saturated clay based on non-Darcy flow[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(11):2 348–2 355.(in Chinese))
[25] 纠永志,刘忠玉,乐金朝,等. 考虑非Darcy渗流和自重应力的一维固结分析[J]. 同济大学学报:自然科学版,2012,40(4):541–548.(JIU Yongzhi,LIU Zhongyu,YUE Jinchao,et al. One-dimensional consolidation with a consideration of non-Darcy flow and self-gravity stress[J]. Journal of Tongji University:Natural Science,2012,40(4):541–548.(in Chinese))
[26] VERSTEEG H K,MALALASEKERA W. An introduction to computational fluid dynamics:the finite volume method[M]. 2nd ed. England:Prentice Hall,2007:243–266. |
|
|
|