基于伯格模型的非饱和土蠕变模型构建
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摘要
滑坡变形发展一般都要经历一定的时间过程,同时在降雨以及库水位变动下,滑坡土体常处于非饱和状态,因此构建考虑基质吸力的非饱和土蠕变模型具有非常重要的意义。以三峡库区某滑坡滑带土非饱和蠕变试验数据为基础,基于伯格模型和非饱和土力学原理及相关假设条件,构建了适合该滑坡滑带土的非饱和蠕变模型。接着,利用非线性回归算法对模型参数进行求解,并将该模型预测值与试验值进行对比,验证了该模型的合理性。最后,考虑模型参数与净围压之间的线性相关性,对模型进一步修正,并验证了修正后模型的有效性。构建的非饱和土蠕变模型能较好地反映该滑坡滑带土的非饱和蠕变特性,其对预测该滑坡的长期变形具有重要的意义。
The development of landslide deformation usually goes through a certain period of time. At the same time, landslide soil is often in a non-saturated state under rainfall and reservoir water level fluctuation. Constructing a creep model of unsaturated soil in consideration of the matric suction is of vital significance. In this research, a creep model of unsaturated soil for a landslide in the Three Gorges Reservoir area is built based on Burger's model and assumptions of the mechanics of unsaturated soil. In subsequence, the model parameters were solved using nonlinear regression algorithm, and the model's rationality was verified by comparing predicted values with experimental values. Finally, in the light of the linear correlation between model parameters and net confining pressure, the model was further modified and the validity of the modified model was verified. The constructed creep model of unsaturated soil well reflects the unsaturated creep behavior of soil in the sliding zone of the landslide, thus is of great significance in predicting the long-term deformation of the landslide.
The development of landslide deformation usually goes through a certain period of time. At the same time, landslide soil is often in a non-saturated state under rainfall and reservoir water level fluctuation. Constructing a creep model of unsaturated soil in consideration of the matric suction is of vital significance. In this research, a creep model of unsaturated soil for a landslide in the Three Gorges Reservoir area is built based on Burger's model and assumptions of the mechanics of unsaturated soil. In subsequence, the model parameters were solved using nonlinear regression algorithm, and the model's rationality was verified by comparing predicted values with experimental values. Finally, in the light of the linear correlation between model parameters and net confining pressure, the model was further modified and the validity of the modified model was verified. The constructed creep model of unsaturated soil well reflects the unsaturated creep behavior of soil in the sliding zone of the landslide, thus is of great significance in predicting the long-term deformation of the landslide.
引文
[1] 何云明.边坡的蠕变机理与失稳预测研究[D].重庆:重庆大学,2005.
[2] 杨为民,徐瑞春,吴树仁,等.鄂西清江隔河岩水库茅坪滑坡蠕滑变形及其稳定性[J].地质通报,2007,26(3):313-320.
[3] 严绍军,项伟,唐辉明,等.大岩淌滑坡滑带土蠕变性质研究[J].岩土力学,2008,29(1):58-62.
[4] 汪斌,朱杰兵,唐辉明.黄土坡滑坡滑带土的蠕变特性研究[J].长江科学院院报,2008,25(1):49-52.
[5] RIEMER W.Landslide and Reservoir[C]//Proceedings of the 6th International Symposium on Landslides.Christchurch,New Zealand,February 10-14,1992:1373-2004.
[6] FREDLUND D G,RAHARDJO H.Soil Mechanics for Unsaturated Soil[M].New York:John Wiley and Sons,1993.
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[8] AUGUSTESEN A,LIINGAARD M,LADE P V.Evaluation of Time-dependent Behavior of Soils[J].International Journal of Geomechanics,2004,4(3):137-156.
[9] LIINGAARD M,AUGUSTESEN A,LADE P V.Characterization of Models for Time-dependent Behavior of Soils[J].International Journal of Geomechanics,2004,4(3):157-177.
[10] 龙建辉,郭文斌,李萍,等.黄土滑坡滑带土的蠕变特性[J].岩土工程学报,2010,32(7):1023-1028.
[11] 王琛,张永丽,刘浩吾.三峡泄滩滑坡滑动带土的改进Singh-Mitchell蠕变方程[J].岩土力学,2005,26(3):415-418.
[12] 祝艳波,余宏明.巴东组碎屑土夹层的非饱和蠕变经验模型[J].中国公路学报,2016,29(4):22-29.
[13] PRIOL G,DE GENNARO V,DELAGE P.Experimental Investigation on the Time-dependent Behaviour of a Multiphase Chalk[C]//Proceedings of the 2nd International Conference on Mechanics of Unsaturated Soils.Weimar:Bauhaus University Weimar,March 7-9,2007,112:161-167.
[14] ALONSO E E,GENS A,JOSA A.A Constitutive Model for Partially Saturated Soils[J].Geotechnique,1990,40(3):405-430.
[15] 赖小玲,叶为民,王世梅.滑坡滑带土非饱和蠕变特性试验研究[J].岩土工程学报,2012,34(2):286-293.
[16] 王者超,乔丽苹.土蠕变性质及其模型研究综述与讨论[J].岩土力学,2011,32(8):2251-2260.
[17] TAVENAS F,LEROUEIL S,ROCHELLE P L,et al.Creep Behavior of an Undisturbed Lightly Overconsolidated Clay[J].Canadian Geotechnical Journal,1978,15(3):402-423.
[18] TAYLOR D W.Research on Consolidation of Clays[R].Massachusetts,Cambridge:Department of Civil Engineering,MIT,1942.
[19] 王常明,王清,张淑华.滨海软土蠕变特性及蠕变模型[J].岩石力学与工程学报,2004,23(2):227-230.
[20] 卢萍珍,曾静,盛谦.软黏土蠕变试验及其经验模型研究[J].岩土力学,2008,29(4):1041-1045.
[21] 陈晓平,白世伟.软土蠕变-固结特性及计算模型研究[J].岩石力学与工程学报,2003,22(5):728-734.
[22] FEDA J.Creep of Soils and Related Phenomena[M].Amsterdam,Netherlands:North-Holland,1992.
[23] 于新豹,刘松玉,缪林昌.连云港软土蠕变特性及其工程应用[J].岩土力学,2003,24(6):1001-1006.
[24] PRAGER W.Recent Developments in the Mathematical Theory of Plasticity[J].Journal of Applied Physics,1949,20(3):235-241.
[25] ADACHI T,OKANO M.A Constitutive Equation for Normally Consolidated Clay[J].Soils and Foundations,1974,14(4):55-73.
[26] YIN J H,GRAHAM J.Equivalent Times and One-dimensional Elastic Viscoplastic Modeling of Time-dependent Stress-Strain Behaviour of Clays[J].Canadian Geotechnical Journal,1994,31(1):45-52.
[27] 赖小玲.三峡库区千将坪滑坡滑带非饱和土蠕变特性研究[D].宜昌:三峡大学,2010.
[28] 刘先锋.千将坪滑坡滑带非饱和土蠕变和松弛特性研究[D].宜昌:三峡大学,2011.
[29] 孙钧.岩土材料流变及其工程应用[M].北京:中国建筑工业出版社,1999:13-25.
[30] 阎岩,王思敬,王恩志.基于西原模型的变参数蠕变方程[J].岩土力学,2010,31(10):3025-3035.
[31] 谢定义,姚仰平,党发宁.高等土力学[M].北京:高等教育出版社,2008.
[32] FREDLUND D G.RAHARDJO H.非饱和土力学[M].陈仲颐,张在明,陈愈炯,等,译.北京:中国建筑工业出版社,1997.
[33] KONDER R L.Hyperbolic Stress-Strain Response:Cohesive Soils[J].Journal of the Soil Mechanics and Foundations Division,ASCE,1963,89 (1):115-143.
[34] 李军世,孙钧.上海淤泥质粘土的Mesri蠕变模型[J].土木工程学报,2001,34(6):74-79.
[2] 杨为民,徐瑞春,吴树仁,等.鄂西清江隔河岩水库茅坪滑坡蠕滑变形及其稳定性[J].地质通报,2007,26(3):313-320.
[3] 严绍军,项伟,唐辉明,等.大岩淌滑坡滑带土蠕变性质研究[J].岩土力学,2008,29(1):58-62.
[4] 汪斌,朱杰兵,唐辉明.黄土坡滑坡滑带土的蠕变特性研究[J].长江科学院院报,2008,25(1):49-52.
[5] RIEMER W.Landslide and Reservoir[C]//Proceedings of the 6th International Symposium on Landslides.Christchurch,New Zealand,February 10-14,1992:1373-2004.
[6] FREDLUND D G,RAHARDJO H.Soil Mechanics for Unsaturated Soil[M].New York:John Wiley and Sons,1993.
[7] BISHOP A W,LOVENBURY H T.Creep Characteristics of Two Undisturbed Clays[C]//Proceedings of the 7th ICSMFE.Mexico City,1969,1:29-37.
[8] AUGUSTESEN A,LIINGAARD M,LADE P V.Evaluation of Time-dependent Behavior of Soils[J].International Journal of Geomechanics,2004,4(3):137-156.
[9] LIINGAARD M,AUGUSTESEN A,LADE P V.Characterization of Models for Time-dependent Behavior of Soils[J].International Journal of Geomechanics,2004,4(3):157-177.
[10] 龙建辉,郭文斌,李萍,等.黄土滑坡滑带土的蠕变特性[J].岩土工程学报,2010,32(7):1023-1028.
[11] 王琛,张永丽,刘浩吾.三峡泄滩滑坡滑动带土的改进Singh-Mitchell蠕变方程[J].岩土力学,2005,26(3):415-418.
[12] 祝艳波,余宏明.巴东组碎屑土夹层的非饱和蠕变经验模型[J].中国公路学报,2016,29(4):22-29.
[13] PRIOL G,DE GENNARO V,DELAGE P.Experimental Investigation on the Time-dependent Behaviour of a Multiphase Chalk[C]//Proceedings of the 2nd International Conference on Mechanics of Unsaturated Soils.Weimar:Bauhaus University Weimar,March 7-9,2007,112:161-167.
[14] ALONSO E E,GENS A,JOSA A.A Constitutive Model for Partially Saturated Soils[J].Geotechnique,1990,40(3):405-430.
[15] 赖小玲,叶为民,王世梅.滑坡滑带土非饱和蠕变特性试验研究[J].岩土工程学报,2012,34(2):286-293.
[16] 王者超,乔丽苹.土蠕变性质及其模型研究综述与讨论[J].岩土力学,2011,32(8):2251-2260.
[17] TAVENAS F,LEROUEIL S,ROCHELLE P L,et al.Creep Behavior of an Undisturbed Lightly Overconsolidated Clay[J].Canadian Geotechnical Journal,1978,15(3):402-423.
[18] TAYLOR D W.Research on Consolidation of Clays[R].Massachusetts,Cambridge:Department of Civil Engineering,MIT,1942.
[19] 王常明,王清,张淑华.滨海软土蠕变特性及蠕变模型[J].岩石力学与工程学报,2004,23(2):227-230.
[20] 卢萍珍,曾静,盛谦.软黏土蠕变试验及其经验模型研究[J].岩土力学,2008,29(4):1041-1045.
[21] 陈晓平,白世伟.软土蠕变-固结特性及计算模型研究[J].岩石力学与工程学报,2003,22(5):728-734.
[22] FEDA J.Creep of Soils and Related Phenomena[M].Amsterdam,Netherlands:North-Holland,1992.
[23] 于新豹,刘松玉,缪林昌.连云港软土蠕变特性及其工程应用[J].岩土力学,2003,24(6):1001-1006.
[24] PRAGER W.Recent Developments in the Mathematical Theory of Plasticity[J].Journal of Applied Physics,1949,20(3):235-241.
[25] ADACHI T,OKANO M.A Constitutive Equation for Normally Consolidated Clay[J].Soils and Foundations,1974,14(4):55-73.
[26] YIN J H,GRAHAM J.Equivalent Times and One-dimensional Elastic Viscoplastic Modeling of Time-dependent Stress-Strain Behaviour of Clays[J].Canadian Geotechnical Journal,1994,31(1):45-52.
[27] 赖小玲.三峡库区千将坪滑坡滑带非饱和土蠕变特性研究[D].宜昌:三峡大学,2010.
[28] 刘先锋.千将坪滑坡滑带非饱和土蠕变和松弛特性研究[D].宜昌:三峡大学,2011.
[29] 孙钧.岩土材料流变及其工程应用[M].北京:中国建筑工业出版社,1999:13-25.
[30] 阎岩,王思敬,王恩志.基于西原模型的变参数蠕变方程[J].岩土力学,2010,31(10):3025-3035.
[31] 谢定义,姚仰平,党发宁.高等土力学[M].北京:高等教育出版社,2008.
[32] FREDLUND D G.RAHARDJO H.非饱和土力学[M].陈仲颐,张在明,陈愈炯,等,译.北京:中国建筑工业出版社,1997.
[33] KONDER R L.Hyperbolic Stress-Strain Response:Cohesive Soils[J].Journal of the Soil Mechanics and Foundations Division,ASCE,1963,89 (1):115-143.
[34] 李军世,孙钧.上海淤泥质粘土的Mesri蠕变模型[J].土木工程学报,2001,34(6):74-79.
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