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| Nonlinear analytical solutions for vertical drainage consolidation of foundations under vacuum-surcharge preloading combined with electroosmosis#br# |
| HUANG Penghua,WANG Liujiang,LIU Sihong,SHEN Chaomin,LU Yang |
(College of Water Conservancy and Hydropower,Hohai University,Nanjing,Jiangsu 210098,China)
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Abstract Based on the equal strain assumption and nonlinear permeation and compression models,analytical solutions for instantaneously loading,single stage loading and multi-stage loading under combined electroosmosis- vacuum-surcharge preloading,considering the variations of vacuum degree with depth and time,the decrease of additional stress with depth,and the decrease of effective voltage with time,were proposed. The proposed analytical solution was validated by comparing with the experimental and numerical results in the literature,and a parametric study was conducted to investigate the variations of the vacuum degree,the additional stress and the effective voltage with depth and time. The results show that the reduction of the vacuum degree with depth will induce the decrease of the maximum negative pore water pressure and the settlement but has little influence on the consolidation rate. The initial consolidation rate increases nonlinearly with the increase rate of the vacuum degree. The multi-stage loading will effectively decrease the excess pore water pressure induced by loading,which ensures the stability of the soft foundation after loading. The excess pore water pressure and the final settlement will decrease obviously due to the reduction of the additional stress along depth. The larger the residual value of the effective voltage or the smaller the decrease rate of the effective voltage,the larger the maximum average negative pore water pressure and the settlement. Moreover,the consolidation rate decreases nonlinearly with the decrease rate of the effective voltage.
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[1] 吴跃东. 真空–堆载联合预压法加固高速公路软基的理论研究及应用[博士学位论文][D]. 南京:河海大学,1999.(WU Yuedong. Theoretical research and application of vacuum combined surcharge preloading method for strengthening soft foundation of expressway[Ph. D. Thesis][D]. Nanjing:Hohai University,1999.(in Chinese))
[2] CHU J,YAN S W,YANG H. Soil improvement by the vacuum preloading method for an oil storage station[J]. Geotechnique,2000,50(6):625–632.
[3] 彭 劼,刘汉龙,陈永辉,等. 真空–堆载联合预压法软基加固对周围环境的影响[J]. 岩土工程学报,2002,24(5):656–659.(PENG Jie,LIU Hanlong,CHEN Yonghui,et al. Effects of combined vacuum surcharge preloading to surrounding environment[J]. Chinese Journal of Geotechnical Engineering,2002,24(5):656–659.(in Chinese))
[4] ZHOU W H,LOK M H,ZHAO L S,et al. Analytical solutions to the axisymmetric consolidation of a multi-layer soil system under surcharge combined with vacuum preloading[J]. Geotextiles and Geomembranes,2017,45(5):487‐498.
[5] 王柳江,刘斯宏,汪俊波,等. 真空预压联合电渗法处理高含水率软土模型试验[J]. 河海大学学报,2011,39(6):671‐675.(WANG Liujiang,LIU Sihong,WANG Junbo,et al. Model test for high-water-content soft soil treatment under vacuum preloading in combination with electroosmosis[J]. Journal of Hohai University,2011,39(6):671‐675.(in Chinese))
[6] LIU H L,CUI Y L,SHEN Y,et al. A new method of combination of electroosmosis,vacuum and surcharge preloading for soft ground improvement[J]. China Ocean Engineering,2014,28(4):511‐528.
[7] 沈 扬,陶明安,刘志浩,等. 电渗复合真空覆水预压法加固吹填土地基的应用研究[J]. 土木工程与管理学报,2012,(3):43‐46.(SHEN Yang,TAO Mingan,LIU Zhihao,et al. Application and research of combination of electro-osmotic method and vacuum- overlying water preloading method for strengthening dredger Fill[J]. Journal of Civil Engineering and Management,2012,(3):43‐46.(in Chinese))
[8] 蒋楚生,司文明,曾 惜,等. 电渗联合真空预压技术处理高速铁路软土地基[J]. 铁道工程学报,2019,36(6):28‐32.(JIANG Chusheng,SI Wenming,ZENG Xi,et al. Research on the treatment of soft soil foundation of a high speed railway by electric-osmosis combined with vacuum preloading technology[J]. Journal of Railway Engineering Society,2019,36(6):28‐32.(in Chinese))
[9] WAN T Y,MITCHELL J K. Electro-osmotic consolidation of soils[J]. Journal of the Geotechnical Engineering Division,1976,102(5):473‐491.
[10] SHANG J Q. Electroosmosis-enhanced preloading consolidation via vertical drains[J]. Canadian Geotechnical Journal,1998,35(3):491‐499.
[11] 李 瑛,龚晓南,卢萌盟,等. 堆载–电渗联合作用下的耦合固结理论[J]. 岩土工程学报,2010,32(1):77‐81.(LI Ying,GONG Xiaonan,LU Mengmeng,et al. Coupling consolidation theory under combined action of load and electro-osmosis[J]. Chinese Journal of Geotechnical Engineering,2010,32(1):77‐81.(in Chinese))
[12] 徐 伟,刘斯宏,王柳江,等.真空预压联合电渗法加固软基的固结方程[J]. 河海大学学报:自然科学版,2011,39(2):169‐175.(XU Wei,LIU Sihong,WANG Liujiang,et al. Analytical theory of soft ground consolidation under vacuum preloading combined with electro-osmosis[J]. Journal of Hohai University:Natural Sciences,2011,39(2):169‐175.(in Chinese))
[13] 王柳江,王耀明,刘斯宏,等. 考虑有效电压衰减的二维真空预压联合电渗排水固结解析解[J]. 岩石力学与工程学报,2019,38(增1):3 134–3 141.(WANG Liujiang,WANG Yaoming,LIU Sihong,et al. 2D analytical solution of consolidation for vacuum preloading combined with electro-osmosis drainage considering reduction of effective voltage[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(Supp.1):3 134–3 141.(in Chinese))
[14] 吴 辉,胡黎明. 真空预压与电渗固结联合加固技术的理论模型[J]. 清华大学学报,2012,52(2):182–185.(WU Hui,HU Liming. Analytical models of the coupling of vacuum preloading and electro-osmosis consolidation for ground stabilization[J]. Journal of Tsinghua University,2012,52(2):182–185.(in Chinese))
[15] WU H,HU L M. Analytical solution for axisymmetric electro- osmotic consolidation[J]. Geotechnique,2013,63(12):1 074–1 079.
[16] 李 剑,张仪萍,严 露. 真空–电渗联合作用下的软基固结计算研究[J]. 水运工程,2012,(3):133–138.(LI Jian,ZHANG Yiping,YAN Lu. Solutions for consolidation of soft ground under vacuum preloading combined with electro-osmosis[J]. Pore and Waterway Engineering,2012,(3):133–138.(in Chinese))
[17] 周亚东,王保田,邓 安. 分段线性电渗﹣堆载耦合固结模型[J]. 岩土工程学报,2013,35(12):2 311–2 316.(ZHOU Yadong,WANG Baotian,DENG An. A piecewise-linear model for electro-osmosis and surcharge preloading combined consolidation[J]. Chinese Journal of Geotechnical Journal,2013,35(12):2 311–2 316.(in Chinese))
[18] 周亚东,付继宇,邓 安,等. 真空预压–电渗联合作用下软黏土非线性大变形固结模型[J]. 岩石力学与工程学报,2019,38(8):1 677–1 685.(ZHOU Yadong,FU Jiyu,DENG An,et al. A nonlinear consolidation model of soft clay under the combination of electroomosis and vacuum preloading[J]. Chinese Journal of Rock Mechanics and Engineering,2019,38(8):1 677–1 685.(in Chinese))
[19] ZHOU Y D,DENG A. Modelling combined electroosmosis- vacuum-surcharge preloading consolidation considering large-scale deformation[J]. Computers and Geotechnics,2019,109:46–57.
[20] 王柳江,刘斯宏,王子健,等. 堆载–电渗联合作用下的一维非线性大变形固结理论[J]. 工程力学,2013,30(13):91–98.(WANG Liujiang,LIU Sihong,WANG Zijian,et al. A consolidation theory for one-dimensional large deformational large deformation problems under combined action of load[J]. Engineering Mechanics,2013,30(13):91–98.(in Chinese))
[21] WU H,QI W G,HU L M,et al. Electro-osmotic consolidation of soil with variable compressibility,hydraulic conductivity and electro- osmosis conductivity[J]. Computers and Geotechnics,2017,85:126–138.
[22] 李一雯,周 建,龚晓南,等. 电极布置形式对电渗效果影响的试验研究[J]. 岩土力学,2013,34(7):1 972–1 978.(LI Yiwen,ZHOU Jian,GONG Xiaonan,et al. Experimental research on influence of electrode array on electroosmotic effect[J]. Rock and Soil Mechanics,2013,34(7):1 972–1 978.(in Chinese))
[23] LEKHA K R,KRISHNASWAMY N R,BASAK P. Consolidation of clay by sand drain under time-dependent loading[J]. Journal of Geotechnical and Geoenvironmental Engineering,1998,124(1):91‐94.
[24] INDRARATNA B,RUJIKIATKAMJOM C,SATHANANTHAN I. Analytical and numerical solutions for a single vertical drain including the effects of vacuum preloading[J]. Canadian Geotechnical Journal,2005,42(4):994‐1 014.
[25] TANG X,ONITSUKA K. Consolidation by vertical drains under time-dependent loading[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2000,24(9):739‐751.
[26] LIU S,GENG X,SUN H,et al. Nonlinear consolidation of vertical drains with coupled radial-vertical flow considering time and depth dependent vacuum pressure[J]. International Journal for Numerical and Analytical Methods in Geomechanics,2019;43(4):767–780.
[27] 郭 霄,谢康和,卢萌盟,等. 直排式真空预压法下竖井地基的非线性固结解析解[J]. 中南大学学报:自然科学版,2018,49(2):384–391.(GUO Xiao,XIE Kanghe,LU Mengmeng,et al. Nonlinear analytical solution for consolidation of vertical drains by straight-line vacuum preloading method[J]. Journal of Central South University:Science and Technology,2018,49(2):384–391.(in Chinese))
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