负压条件下高含水率疏浚泥轴对称大应变固结模型
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摘要
基于Gibson一维大应变固结理论和Hansbo径向固结理论,摒弃小应变假定,引入负压边界条件,建立了等应变条件下以孔隙比为变量的负压轴对称大应变固结(NALSC)模型.NALSC模型同时考虑了高含水率疏浚泥的材料和几何非线性、径竖向渗流、负压沿深度衰减等因素,其他学者建立的固结方程是NALSC模型的特例.基于线性化的材料参数,对固结度变化时程进行了数值模拟,结果表明,在不同的渗流条件和真空度衰减方式下,NALSC模型与现有模型的固结度计算值基本吻合;土层厚度与砂井有效加固直径比值不小于10时,土体主要发生径向固结,竖向固结可以忽略;NALSC模型的计算精度较高,适用于高含水率疏浚泥的大应变固结性状分析.
Based on the Gibson one-dimensional large-strain consolidation theory and the Hansbo radial consolidation theory,abandoning the small strain assumption,introducing the negative pore water pressure boundary condition, the negative axisymmetric large-strain consolidation model( NALSC) with void ratio as a variable is established under the equal strain condition. The NALSC model considers the material and geometry nonlinearity,radial and vertical flows,and vacuum preloading attenuation along the depth of dredged clays with high water content. Equations established by other researchers are the special cases of the NALSC model. According to linearized material parameters,the numerical simulations of consolidation degrees change progress are carried out. Results showthat under different seepage conditions and vacuum decay methods,the predicted consolidation degrees of the proposed model are in good agreement with those of existing models. When the ratio of layer thickness and effective reinforcement diameter is not less than 10,the radial consolidation is produced,and the vertical consolidation can be ignored. The NALSC model has high calculation accuracy,and it can be used for large-strain consolidation property analysis of dredged clays with high water content.
Based on the Gibson one-dimensional large-strain consolidation theory and the Hansbo radial consolidation theory,abandoning the small strain assumption,introducing the negative pore water pressure boundary condition, the negative axisymmetric large-strain consolidation model( NALSC) with void ratio as a variable is established under the equal strain condition. The NALSC model considers the material and geometry nonlinearity,radial and vertical flows,and vacuum preloading attenuation along the depth of dredged clays with high water content. Equations established by other researchers are the special cases of the NALSC model. According to linearized material parameters,the numerical simulations of consolidation degrees change progress are carried out. Results showthat under different seepage conditions and vacuum decay methods,the predicted consolidation degrees of the proposed model are in good agreement with those of existing models. When the ratio of layer thickness and effective reinforcement diameter is not less than 10,the radial consolidation is produced,and the vertical consolidation can be ignored. The NALSC model has high calculation accuracy,and it can be used for large-strain consolidation property analysis of dredged clays with high water content.
引文
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[11]彭劼,董江平,宋恩润,等.考虑加载过程的真空预压轴对称解析解[J].岩土力学,2010,31(z1):7985.DOI:10.3969/j.issn.1000-7598.2010.z1.013.Peng Jie,Dong Jiangping,Song Enrun,et al.Axisymmetric analytical solution of vacuum preload considering the loading process[J].Rock and Soil Mechanics,2010,31(z1):79 85.DOI:10.3969/j.issn.1000-7598.2010.z1.013.(in Chinese)
[12]Indraratna B,Rujikiatkamjorn C,Sathananthan I.Radial consolidation of clay using compressibility indices and varying horizontal permeability[J].Canadian G eotechnical Journal,2005,42(5):1330 1341.
[13]Wu H,Hu L M.Analytical and numerical solutions for vacuum preloading considering a radius related strain distribution[J].Mechanics Research Communications,2012,44:9 14.DOI:10.1016/j.mechrescom.2012.04.005.
[14]曹玉鹏.高含水率疏浚泥可控真空砂井大应变固结试验与模型研究[D].南京:东南大学交通学院,2013.
[15]Gibson R E,England G L,Hussey M J.The theory of one-dimensional soil consolidation of saturated clays.Ⅰ.Finite nonlinear consolidation of thin homogeneous layers[J].G eotechnique,1967,17(3):261 273.
[16]Xie K H,Leo C J.Analytical solutions of one-dimensional large strain consolidation of saturated and homogeneous clay[J].Computers and Geotechnics,2004,31(4):301 314.DOI:10.1016/j.compgeo.2004.02.006.
[17]江辉煌,赵有明,刘国楠,等.砂井地基的大变形固结[J].岩土工程学报,2011,33(2):302 308.Jiang Huihuang,Zhao Youming,Liu Guonan,et al.Large strain consolidation of soft ground w ith vertical drains[J].Chinese Journal of G eotechnical Engineering,2011,33(2):302 308.(in Chinese)
[18]Fox P J,Nicola M D,Quigley D W.Piecewise-linear model for large strain radial consolidation[J].Journal of G eotechnical and G eoenvironmental Engineering,2003,129:940 950.
[19]Indraratna B,Rujikiatkamjorn C,Sathananthan I.Analytical and numerical solutions for a single vertical drain including the effects of vacuum preloading[J].Canadian G eotechnical Journal,2005,42(4):994 1014.
[20]Rujikiatkamjorn C,Indraratna B.Analytical solutions and design curves for vacuum-assisted consolidation w ith both vertical and horizontal drainage[J].Canadian G eotechnical Journal,2007,44(2):188 200.
[21]陆金甫,关治.偏微分方程数值解法[M].北京:清华大学出版社,2004:82 111.
[2]程万钊.吹填淤泥真空预压快速处理技术研究[D].南京:南京水利科学研究院,2010.
[3]董志良,张功新,周琦,等.天津滨海新区吹填造陆浅层超软土加固技术研发及应用[J].岩石力学与工程学报,2011,30(5):1073 1080.Dong Zhiliang,Zhang Gongxin,Zhou Qi,et al.Research and application of improvement technology of shallow ultra-soft soil formed by hydraulic reclamation in Tianjin Binhai new area[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(5):1073 1080.(in Chinese)
[4]陈平山,董志良,张功新.新吹填淤泥浅表层加固中“土桩”形成机理及数值分析[J].水运工程,2012(1):158 163.DOI:10.3969/j.issn.1002-4972.2012.01.032.Chen Pingshan,Dong Zhiliang,Zhang Gongxin.M echanism and numerical simulation of the“soil piles”in the fresh hydraulic mud fill treated by surface-layer improvement technique[J].Port&Waterway Engineering,2012(1):158 163.DOI:10.3969/j.issn.1002-4972.2012.01.032.(in Chinese)
[5]Barron R A.Consolidation of fine grained soils by drain w ells[J].Transactions of American Society for Civil Engineers,1948,113:718 724.
[6]Hansbo S.Consolidation of fine-grained soils by prefabricated drains[C]//Proceedings of 10th International Conference on Soil Mechanics and Foundation Engineering.Rotterdam,The Netherlands,1981,3:677 682.
[7]谢康和,曾国熙.等应变条件下的砂井地基固结解析解理论[J].岩土工程学报,1989,11(2):3 17.Xie Kanghe,Zeng Guoxi.Consolidation theories for drain w ells under equal strain condition[J].Chinese Journal of G eotechnical Engineering,1989,11(2):317.(in Chinese)
[8]董志良.堆载及真空预压砂井地基固结解析理论[J].水运工程,1992(9):1 7.
[9]周琦,张功新,王友元,等.真空预压条件下的砂井地基Hansbo固结解[J].岩石力学与工程学报,2010,29(z2):3994 3999.Zhou Qi,Zhang Gongxin,Wang Youyuan,et al.Hansbo's consolidation solution for sand-drained ground under vacuum preloading[J].Chinese Journal of Rock Mechanics and Engineering,2010,29(z2):39943999.(in Chinese)
[10]张仪萍,严露,俞亚南,等.真空预压加固软土地基变形与固结计算研究[J].岩土力学,2011,32(S1):150 154.Zhang Yiping,Yan Lu,Yu Yanan,et al.Solutions for settlement and consolidation of soft ground w ith vacuum preloading[J].Rock and Soil Mechanics,2011,32(S1):150 154.(in Chinese)
[11]彭劼,董江平,宋恩润,等.考虑加载过程的真空预压轴对称解析解[J].岩土力学,2010,31(z1):7985.DOI:10.3969/j.issn.1000-7598.2010.z1.013.Peng Jie,Dong Jiangping,Song Enrun,et al.Axisymmetric analytical solution of vacuum preload considering the loading process[J].Rock and Soil Mechanics,2010,31(z1):79 85.DOI:10.3969/j.issn.1000-7598.2010.z1.013.(in Chinese)
[12]Indraratna B,Rujikiatkamjorn C,Sathananthan I.Radial consolidation of clay using compressibility indices and varying horizontal permeability[J].Canadian G eotechnical Journal,2005,42(5):1330 1341.
[13]Wu H,Hu L M.Analytical and numerical solutions for vacuum preloading considering a radius related strain distribution[J].Mechanics Research Communications,2012,44:9 14.DOI:10.1016/j.mechrescom.2012.04.005.
[14]曹玉鹏.高含水率疏浚泥可控真空砂井大应变固结试验与模型研究[D].南京:东南大学交通学院,2013.
[15]Gibson R E,England G L,Hussey M J.The theory of one-dimensional soil consolidation of saturated clays.Ⅰ.Finite nonlinear consolidation of thin homogeneous layers[J].G eotechnique,1967,17(3):261 273.
[16]Xie K H,Leo C J.Analytical solutions of one-dimensional large strain consolidation of saturated and homogeneous clay[J].Computers and Geotechnics,2004,31(4):301 314.DOI:10.1016/j.compgeo.2004.02.006.
[17]江辉煌,赵有明,刘国楠,等.砂井地基的大变形固结[J].岩土工程学报,2011,33(2):302 308.Jiang Huihuang,Zhao Youming,Liu Guonan,et al.Large strain consolidation of soft ground w ith vertical drains[J].Chinese Journal of G eotechnical Engineering,2011,33(2):302 308.(in Chinese)
[18]Fox P J,Nicola M D,Quigley D W.Piecewise-linear model for large strain radial consolidation[J].Journal of G eotechnical and G eoenvironmental Engineering,2003,129:940 950.
[19]Indraratna B,Rujikiatkamjorn C,Sathananthan I.Analytical and numerical solutions for a single vertical drain including the effects of vacuum preloading[J].Canadian G eotechnical Journal,2005,42(4):994 1014.
[20]Rujikiatkamjorn C,Indraratna B.Analytical solutions and design curves for vacuum-assisted consolidation w ith both vertical and horizontal drainage[J].Canadian G eotechnical Journal,2007,44(2):188 200.
[21]陆金甫,关治.偏微分方程数值解法[M].北京:清华大学出版社,2004:82 111.