巴东组碎屑土夹层的非饱和蠕变经验模型
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摘要
为预测基质吸力对巴东组碎屑土夹层蠕变行为的影响,开展其非饱和蠕变经验模型的研究。基于碎屑土夹层的非饱和蠕变试验,尝试改进Singh-Mitchell蠕变模型、Mesri蠕变模型:首先选取幂函数分段描述应变-时间关系曲线的各阶段,拟合模型参数与基质吸力关系,建立包含基质吸力的改进Singh-Mitchell蠕变模型、Mesri蠕变模型;其次根据蠕变曲线特点,对应力-应变曲线、应变-时间曲线进行非线性拟合,构建包含基质吸力-应力-应变-时间的非饱和蠕变经验模型;最后对比了3种蠕变模型的预测精度。结果表明:改进的Mesri模型基本能预测碎屑土夹层的蠕变全过程,虽然当偏应力水平增高时,预测值与试验值存在偏差,但其精度基本能够满足工程应用要求;提出的非饱和蠕变模型预测效果一般,改进的Singh-Mitchell模型预测效果最差。
In order to predict the influence of matric suction on unsaturated creep behaviors of weak intercalated soils of Badong Formation,the empirical research on its unsaturated creep models was carried out.Based on the unsaturated creep experiments,power function was used to express the relationship between strain and time in stages in order to improve the Singh-Mitchell creep model and the Mesri creep model.Then the relations between model parameters and matrix suction were fitted to establish the improved Singh-Mitchell creep model and Mesri creep model involving matrix suction.Based on the characteristics of the creep curves and the nonlinear fittings of the relationships between stress and strain,strain and time,a unsaturated creep model including suction-stress-strain-time was established.The prediction accuracies of 3 empirical unsaturated creep models were compared.The results show that the whole creep process of weak intercalated soils can be predicted by the improved Mesri creep model by and large.Although the prediction values deviate from the experimental values when the deviator stress is higher,its prediction accuracy is basically acceptable in engineering practice.The accuracy of the proposed unsaturated creep model in predicting the creep behaviors of weak intercalated soils is lesssatisfactory.The predicting effect of the improved Singh-Mitchell creep model is the worst.
In order to predict the influence of matric suction on unsaturated creep behaviors of weak intercalated soils of Badong Formation,the empirical research on its unsaturated creep models was carried out.Based on the unsaturated creep experiments,power function was used to express the relationship between strain and time in stages in order to improve the Singh-Mitchell creep model and the Mesri creep model.Then the relations between model parameters and matrix suction were fitted to establish the improved Singh-Mitchell creep model and Mesri creep model involving matrix suction.Based on the characteristics of the creep curves and the nonlinear fittings of the relationships between stress and strain,strain and time,a unsaturated creep model including suction-stress-strain-time was established.The prediction accuracies of 3 empirical unsaturated creep models were compared.The results show that the whole creep process of weak intercalated soils can be predicted by the improved Mesri creep model by and large.Although the prediction values deviate from the experimental values when the deviator stress is higher,its prediction accuracy is basically acceptable in engineering practice.The accuracy of the proposed unsaturated creep model in predicting the creep behaviors of weak intercalated soils is lesssatisfactory.The predicting effect of the improved Singh-Mitchell creep model is the worst.
引文
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[15]王鹏程,骆亚生,胡连信,等.重塑黄土三轴蠕变特性研究及模型分析[J].岩土力学,2015,36(6):1627-1632,1642.WANG Peng-cheng,LUO Ya-sheng,HU Lian-xin,et al.Research on Triaxial Creep Characteristics and Models of Remolded Loess[J].Rock and Soil Mechanics,2015,36(6):1627-1632,1642.
[16]李刚,张金利,杨庆,等.基于蠕变试验下的海相黏性土蠕变模型研究[J].四川大学学报:工程科学版,2015,47(5):86-93.LI Gang,ZHANG Jin-li,YANG Qing,et al.Study on the Creep Constitutive Model of Marine Clays Based on Triaxial Creep Tests[J].Journal of Sichuan University:Engineering Science Edition,2015,47(5):86-93.
[17]年廷凯,余鹏程,柳楚楠,等.吹填粉砂土固结蠕变试验及模型[J].吉林大学学报:地球科学版,2014,44(3):918-924.NIAN Ting-kai,YU Peng-cheng,LIU Chu-nan,et al.Consolidation Creep Test and Creep Model of Dredger Fill Silty Sand[J].Journal of Jilin University:Earth Science Edition,2014,44(3):918-924.
[18]李佐良,许再良,杨爱武,等.德州松软土蠕变特性及其模型研究[J].工程地质学报,2013,21(6):967-972.LI Zuo-liang,XU Zai-liang,YANG Ai-wu,et al.Laboratory Study on Creep Behavior and Constitutive Model of Soft Soil in Dezhou[J].Journal of Engineering Geology,2013,21(6):967-972.
[19]MESRI G,FEBRES-CORDERO E,SHIELDS D R,et al.Shear Stress-strain-time Behaviour of Clays[J].Geotechnique,1981,31(4):537-552.
[20]SINGH A,MITCHELL J K.General Stress-straintime Function for Soils[J].Journal of Soil Mechanics and Found Engineering Division,1968,94(1):21-46.
[21]王琛,刘浩吾,许强.三峡泄滩滑坡滑动带土的改进Mesri蠕变模型[J].西南交通大学学报,2004,39(1):15-19.WANG Chen,LIU Hao-wu,XU Qiang.Modified Mesri’s Creep Model for Soils in Sliding Zone of Xietan Landslide in the Three Gorges[J].Journal of Southwest Jiaotong University,2004,39(1):15-19.
[22]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(6):415-418.WANG Chen,ZHANG Yong-li,LIU Hao-wu.A Modified Singh-Mitchell’s Creep Function of Sliding Zone Soils of Xietan Landslide in Three Gorges[J].Rock and Soil Mechanics,2005,26(6):415-418.
[23]刘业科,邓志斌,曹平.软黏土的三轴蠕变试验与修正的Singh-Mitchell蠕变模型[J].中南大学学报:自然科学版,2012,43(4):1440-1446.LIU Ye-ke,DENG Zhi-bin,CAO Ping.Triaxial Creep Test and Modified Singh-Mitchell Creep Model of Soft Clay[J].Journal of Central South University:Science and Technology,2012,43(4):1440-1446.
[24]SCHWARZ V,BECHER A,VRETTOS C.An Initial Study on the Viscous Behaviour of a Partially Saturated Kaolinite Clay Based on Triaxial Tests[J].Geotechnical Special Publication,2006,147(2):1-18.
[25]KIERZKOWSKI P.Oedometer Creep Tests of a Partially Saturated Kaolinite Clay[M]//SCHANZ T.Experimental Unsaturated Soil Mechanics.Berlin:Springer,2007:301-307.
[26]PRIOL G,DE GENNARO V,DELAGE P,et al.Experimental Investigation on the Time Dependent Behaviour of A Multiphase Chalk[M]//SCHANZ T.Experimental Unsaturated Soil Mechanics.Berlin:Springer,2007:161-167.
[27]马珂.合肥非饱和膨胀土蠕变试验与模型研究[D].合肥:安徽建筑工业学院,2012.MA Ke.Hefei Unsaturated Expansive Soil Creep Test and Model Research[D].Hefei:Anhui University of Architecture,2012.
[28]程海涛.非饱和重塑黄土变形特性试验研究[D].西安:长安大学,2005.CHENG Hai-tao.Experimental Study on the Deformation Characteristics of Unsaturated Loess[D].Xi’an:Chang’an University,2005.
[29]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,2009,34(2):41-46.LAI Xiao-ling,YE Wei-min,WANG Shi-mei.Experimental Study on Unsaturated Creep Characteristics of Landslide Soils[J].Chinese Journal of Geotechnical Engineering,2009,34(2):41-46.
[30]王志俭.万州区红层岩土流变特性及近水平地层滑坡成因机理研究[D].武汉:中国地质大学,2008.WANG Zhi-jian.Rheologieal Experimental Study and Mechanism Research on Gentle-dipped Landslides of Jurassic Red Strata in Wanzhou City[D].Wuhan:China University of Geosciences,2008.
[31]JANBU N.Soil Compressibility as Determined by Oedometer and Triaxial Tests[C]//ECSMFE.Proceedings of the 3rd European Conference on Soil Mechanics and Foundation Engineering.Wiesbaden:Deutsche Gesellschaft fur Erd-und Grundbau,1963:19-25.
[2]杨天鸿,芮勇勤,朱万成,等.炭质泥岩泥化夹层的流变特性及长期强度[J].实验力学,2008,23(5):396-402.YANG Tian-hong,RUI Yong-qin,ZHU Wan-cheng,et al.Rheological Characteristics and Long-term Strength of Siltized Intercalation Interbeded in Peat Mudstone[J].Journal of Experimental Mechanics,2008,23(5):396-402.
[3]王志俭,殷坤龙,简文星.万州区红层软弱夹层蠕变试验研究[J].岩土力学,2007,28(增):40-44.WANG Zhi-jian,YIN Kun-long,JIAN Wen-xing.Experimental Research on Creep of Incompetent Beds in Jurassic Red Clastic Rocks in Wanzhou[J].Rock and Soil Mechanics,2007,28(S):40-44.
[4]程强,周德培,封志军.典型红层软岩软弱夹层剪切蠕变性质研究[J].岩石力学与工程学报,2009,28(增1):3176-3180.CHENG Qiang,ZHOU De-pei,FENG Zhi-jun.Research on Shear Creep Property of Typical Weak Intercalation in Redbed Soft Rock[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(S1):3176-3180.
[5]王浩然,黄茂松,刘怡林.含软弱夹层边坡的三维稳定性极限分析[J].岩土力学,2013,34(增2):156-160.WANG Hao-ran,HUANG Mao-song,LIU Yi-lin.Three-dimensional Stability Analysis of Slope with Weak Interlayer[J].Rock and Soil Mechanics,2013,34(S2):156-160.
[6]蒋中明,曾铃,付宏渊,等.极端久雨条件下软岩边坡动态稳定性分析[J].中国公路学报,2014,27(2):27-34.JIANG Zhong-ming,ZENG Ling,FU Hong-yuan,et al.Dynamic Stability Analysis of Soft Roch Slope Due to Extremely Prolonged Rainfall[J].China Journal of Highway and Transport,2014,27(2):27-34.
[7]GARLANGER J E.The Consolidation of Soils Exhibiting Creep Under Constant Effective Stress[J].Geotechnique,1972,22(1):71-78.
[8]BUTTERFIELD R.A Natural Compression Law for Soils[J].Geotechnique,1979,29(4):469-480.
[9]YIN J H,GRAHAM J.Elastic Visco-plastic Modelling of One-dimensional Consolidation[J].Geotechnique,1996,46(3):515-527.
[10]殷建华.等效时间和岩土材料的弹粘塑性模型[J].岩石力学与工程学报,1999,18(2):124-128.YIN Jian-hua.Equivalent Time and Elastic Viscoplastic Modelling of Geomaterials[J].Chinese Journal of Rock Mechanics and Engineering,1999,18(2):124-128.
[11]BISHOP A W,LOVENBURY H T.Creep Characteristics of Two Undisturbed Clays[C]//ICSMFE.Proceedings of the 7th International Conference on Soil Mechanics and Foundation Engineering.Mexico City:Sociedad Mexicana de Mecanica,1969:29-37.
[12]VAID Y P,CAMPANELLA R G.Time-dependent Behavior of Undisturbed Clay[J].Journal of Geotechnical Engineering Division,1977,103(7):693-709.
[13]AUGUSTESEN A,LIINGAARD M,LADE P V.Evaluation of Time-dependent Behavior of Soils[J].International Journal of Geomechanics,2004,4(3):137-156.
[14]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.
[15]王鹏程,骆亚生,胡连信,等.重塑黄土三轴蠕变特性研究及模型分析[J].岩土力学,2015,36(6):1627-1632,1642.WANG Peng-cheng,LUO Ya-sheng,HU Lian-xin,et al.Research on Triaxial Creep Characteristics and Models of Remolded Loess[J].Rock and Soil Mechanics,2015,36(6):1627-1632,1642.
[16]李刚,张金利,杨庆,等.基于蠕变试验下的海相黏性土蠕变模型研究[J].四川大学学报:工程科学版,2015,47(5):86-93.LI Gang,ZHANG Jin-li,YANG Qing,et al.Study on the Creep Constitutive Model of Marine Clays Based on Triaxial Creep Tests[J].Journal of Sichuan University:Engineering Science Edition,2015,47(5):86-93.
[17]年廷凯,余鹏程,柳楚楠,等.吹填粉砂土固结蠕变试验及模型[J].吉林大学学报:地球科学版,2014,44(3):918-924.NIAN Ting-kai,YU Peng-cheng,LIU Chu-nan,et al.Consolidation Creep Test and Creep Model of Dredger Fill Silty Sand[J].Journal of Jilin University:Earth Science Edition,2014,44(3):918-924.
[18]李佐良,许再良,杨爱武,等.德州松软土蠕变特性及其模型研究[J].工程地质学报,2013,21(6):967-972.LI Zuo-liang,XU Zai-liang,YANG Ai-wu,et al.Laboratory Study on Creep Behavior and Constitutive Model of Soft Soil in Dezhou[J].Journal of Engineering Geology,2013,21(6):967-972.
[19]MESRI G,FEBRES-CORDERO E,SHIELDS D R,et al.Shear Stress-strain-time Behaviour of Clays[J].Geotechnique,1981,31(4):537-552.
[20]SINGH A,MITCHELL J K.General Stress-straintime Function for Soils[J].Journal of Soil Mechanics and Found Engineering Division,1968,94(1):21-46.
[21]王琛,刘浩吾,许强.三峡泄滩滑坡滑动带土的改进Mesri蠕变模型[J].西南交通大学学报,2004,39(1):15-19.WANG Chen,LIU Hao-wu,XU Qiang.Modified Mesri’s Creep Model for Soils in Sliding Zone of Xietan Landslide in the Three Gorges[J].Journal of Southwest Jiaotong University,2004,39(1):15-19.
[22]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(6):415-418.WANG Chen,ZHANG Yong-li,LIU Hao-wu.A Modified Singh-Mitchell’s Creep Function of Sliding Zone Soils of Xietan Landslide in Three Gorges[J].Rock and Soil Mechanics,2005,26(6):415-418.
[23]刘业科,邓志斌,曹平.软黏土的三轴蠕变试验与修正的Singh-Mitchell蠕变模型[J].中南大学学报:自然科学版,2012,43(4):1440-1446.LIU Ye-ke,DENG Zhi-bin,CAO Ping.Triaxial Creep Test and Modified Singh-Mitchell Creep Model of Soft Clay[J].Journal of Central South University:Science and Technology,2012,43(4):1440-1446.
[24]SCHWARZ V,BECHER A,VRETTOS C.An Initial Study on the Viscous Behaviour of a Partially Saturated Kaolinite Clay Based on Triaxial Tests[J].Geotechnical Special Publication,2006,147(2):1-18.
[25]KIERZKOWSKI P.Oedometer Creep Tests of a Partially Saturated Kaolinite Clay[M]//SCHANZ T.Experimental Unsaturated Soil Mechanics.Berlin:Springer,2007:301-307.
[26]PRIOL G,DE GENNARO V,DELAGE P,et al.Experimental Investigation on the Time Dependent Behaviour of A Multiphase Chalk[M]//SCHANZ T.Experimental Unsaturated Soil Mechanics.Berlin:Springer,2007:161-167.
[27]马珂.合肥非饱和膨胀土蠕变试验与模型研究[D].合肥:安徽建筑工业学院,2012.MA Ke.Hefei Unsaturated Expansive Soil Creep Test and Model Research[D].Hefei:Anhui University of Architecture,2012.
[28]程海涛.非饱和重塑黄土变形特性试验研究[D].西安:长安大学,2005.CHENG Hai-tao.Experimental Study on the Deformation Characteristics of Unsaturated Loess[D].Xi’an:Chang’an University,2005.
[29]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,2009,34(2):41-46.LAI Xiao-ling,YE Wei-min,WANG Shi-mei.Experimental Study on Unsaturated Creep Characteristics of Landslide Soils[J].Chinese Journal of Geotechnical Engineering,2009,34(2):41-46.
[30]王志俭.万州区红层岩土流变特性及近水平地层滑坡成因机理研究[D].武汉:中国地质大学,2008.WANG Zhi-jian.Rheologieal Experimental Study and Mechanism Research on Gentle-dipped Landslides of Jurassic Red Strata in Wanzhou City[D].Wuhan:China University of Geosciences,2008.
[31]JANBU N.Soil Compressibility as Determined by Oedometer and Triaxial Tests[C]//ECSMFE.Proceedings of the 3rd European Conference on Soil Mechanics and Foundation Engineering.Wiesbaden:Deutsche Gesellschaft fur Erd-und Grundbau,1963:19-25.