Analytical study on consolidation of composite ground considering two- dimensional well resistance under time and depth dependent stresses
GUO Biao，CHEN He，LI Yajun
(National Engineering Laboratory for Land Transport Meteorological Disaster Control Technology，Broadvision Engineering Consultants，Kunming，Yunnan 650041，China)
Abstract：A new solution for consolidation of composite ground was proposed by adding a quadratic polynomial to the previous solution. The analytical consolidation solution of composite ground considering the effect of two-dimensional well resistance was obtained for granular column under the condition of the additional ground stress varied with time and depth. The solution was compared with the previous simplified analytical expressions. The results show that many previous expressions are the special cases of the solutions deduced in this paper，such as the solution considering the effect of two-dimensional well resistance under the effect of instantaneous loading， the solution considering the seepage and vertical deformation of pile body as well as the Terzaghi one-dimensional consolidation solution，which indicate the correctness and reasonability of the solution obtained. The consolidation rate is increased with the increasing of loading rate and decreased with the increasing of additional stress at the bottom of the ground. The consolidation rate considering the two-dimensional well resistance of the columns is slower than the one considering only the vertical well resistance. The difference of the consolidation rates under the conditions of these two considerations is increased with the decreasing of permeability coefficient of column and the radius ratio of the influence zone to the column. The solution proposed in this paper provides a new idea for solving the consolidation process of composite foundation and contributes to the development and improvement of consolidation theory of composite ground.
郭 彪，陈 贺，李亚军. 变附加应力条件下考虑桩体二维井阻作用的复合地基固结解析理论研究[J]. 岩石力学与工程学报, 2017, 36(3): 754-761.
GUO Biao，CHEN He，LI Yajun. Analytical study on consolidation of composite ground considering two- dimensional well resistance under time and depth dependent stresses. , 2017, 36(3): 754-761.
[1] YOSHIKUNI H. Design and control of construction in the vertical drain method[M]. Tokyo：Gihoudou：1979：1–60.
[2] HAN J，YE S L. Simplified method for consolidation rate of stone column reinforced foundations[J]. Journal of Geotechnical and Geoenvironmental Engineering，2001，127(7)：597–603.
[3] HAN J，YE S L. A theoretical solution for consolidation rates of stone column-reinforced foundations accounting for smear and well resistance effects[J]. The International Journal of Geomechanics， 2002，2(2)：135–151.
[4] 王瑞春，谢康和. 双层散体材料桩复合地基固结解析理论[J]. 岩土工程学报，2001，23(4)：418–422.(WANG Ruichun，XIE Kanghe. Analytical theory for consolidation of double-layered composite ground with granular columns[J]. Chinese Journal of Geotechnical Engineering，2001，23(4)：418–422.(in Chinese))
[5] 王瑞春，谢康和，关山海. 变荷载下散体材料桩复合地基固结解析解[J]. 浙江大学学报：工学版，2002，36(l)：12–16.(WANG Ruichun，XIE Kanghe，GUAN Shanhai. Analytical solutions for consolidation of composite ground with granular columns under time-dependent loading[J]. Journal of Zhejiang University：Engineering Science，2002，36(l)：12–16.(in Chinese))
[6] 王瑞春，谢康和，唐晓武. 未打穿散体材料桩复合地基固结解析研究.公路交通科技，2004，21(6)：12–16.(WANG Ruichun，XIE Kanghe，TANG Xiaowu. Analytical study on consolidation of composite ground with partially penetrated granular columns[J]. Journal of Highway and Transportation Research and Development，2004，21(6)：12–16.(in Chinese))
[7] 张玉国，谢康和，应宏伟，等. 双面半透水边界的散体材料桩复合地基固结分析[J]. 岩土工程学报，2005，27(3)：304–307.(ZHANG Yuguo，XIE Kanghe，YING Hongwei，et al. Consolidation analysis of composite foundation of granular columns with impeded boundaries[J]. Chinese Journal of Geotechnical Engineering，2005，27(3)：304–307. (in Chinese))
[8] ZHANG Y G. XIE K H，WANG Z. Consolidation analysis of composite ground improved by granular columns considering variation of permeability coefficient of soil[C]// Ground Modification and Seismic Mitigation，[S. l.]：ASCE，Geotechnical Special Publication，2006：135–142.
[9] WALKER R，INDRARATNA B. Vertical drain consolidation with parabolic distribution of permeability in smear zone[J]. Journal of Geotechnical and Geoenvironmental Engineering，2006，132(7)：937–941.
[10] 邢皓枫，龚晓南，杨晓军. 碎石桩复合地基固结简化分析[J]. 岩土工程学报，2005，27(5)：521–524.(XING Haofeng，GONG Xiaonan，YANG Xiaojun. Simplified analysis for consolidation of gravel-pile composite foundation[J]. Chinese Journal of Geotechnical Engineering，2005，27(5)：521–524.(in Chinese))
[11] 张玉国，孙 敏，谢康和. 未打穿散体材料桩复合地基固结简化解研究[J]. 岩土力学，2014，35(5)：1 303–1 310.(ZHANG Yuguo，SUN Min，XIE Kanghe. Study of simplifying solution to consolidation of composite ground with partially penetrated granular columns[J]. Rock and Soil Mechanics，2014，35(5)：1 303–1 310.(in Chinese))
[12] XIE K H，LU M M，HU A F，et al. A general theoretical solution for the consolidation of a composite foundation[J]. Computers and Geotechnics，2009，36(1/2)：24–30.
[13] XIE K H，LU M M，LIU G B. Equal strain consolidation for stone columns reinforced foundation[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2009，33(15)：1 721–1 735.
[14] 赵明华，刘敦平，张 玲. 考虑桩体固结变形的散体材料桩复合地基固结解析计算[J]. 岩土力学，2010，31(2)：483–488.(ZHAO Minghua，LIU Dunping，ZHANG Ling. Analytical solution for consolidation of composite ground with granular columns accounting for consolidation deformation of pile[J]. Rock and Soil Mechanics，2010，31(2)：483–488.(in Chinese))
[15] 卢萌盟，谢康和，刘干斌，等. 考虑桩体固结和土体渗透性抛物线分布固结解[J]. 岩土工程学报，2009，31(7)：1 069–1 074.(LU Mengmeng，XIE Kanghe，LIU Ganbin，et al. Solutions for consolidation considering column consolidation and parabolic distribution of soil permeability[J]. Chinese Journal of Geotechnical Engineering，2009，31(7)：1 069–1 074.(in Chinese))
[16] 卢萌盟，谢康和，张玉国，等. 考虑施工扰动和荷载效应的复合地基固结解[J]. 岩土工程学报，2008，30(4)：549–554.(LU Mengmeng，XIE Kanghe，ZHANG Yuguo，et al. Theoretical solution for consolidation of composite foundations considering construction disturbance and loading effect[J]. Chinese Journal of Geotechnical Engineering，2008，30(4)：549–554.(in Chinese))
2017, Vol. 36 
