外荷载随时间变化下软土地基一维大变形固结通解

doi:10.13722/j.cnki.jrme.2021.1320

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Abstract For the problem of one-dimensional large deformation consolidation of soft soils with time-dependent loading，based on the existing governing equation of consolidation，the general analytical solutions for one-dimensional large deformation consolidation are obtained by using the method of variable substitution and separation variable. The method used in solving the general analytical solutions is simple，and the solutions have a clear form，which is convenient for calculations. Referring to the general analytical solutions，the expressions for analytical solutions of consolidation under several common loading patterns are given. By analyzing the specific analytical solution presented in the paper and comparing the proposed analytical solution with finite difference solution，the correctness of the proposed analytical solutions is verified. Based on the solutions proposed，the consolidation behaviors are analyzed. The results show that under two-stage instantaneous loading pattern，the consolidation rate slows down and the maximum value of excess pore water pressure decreases with the extension of first-stage loading time. Under two-stage linear loading pattern，the effect of increasing the loading rate on the consolidation rate is small when the loading rate increases to a certain extent. Under cyclic loading pattern，with the increase of cyclic loading time，the variation range of the consolidation degree curves becomes larger after it tends to be stable. Under the time-dependent loading，the consolidation rate defined by settlement increases with the increase in the final loading，while the consolidation rate defined by pore water pressure decreases. The analysis results can provide theoretical guidance for the actual loading construction process of soft soils.

Key words： foundation engineering soft soils large deformation consolidation analytical solution loading pattern consolidation behavior

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	Articles by authors
	GE Shangqi1
	JIANG Wenhao2
	ZHENG Lingwei1
	3
	ZHANG Xunli1
	FENG Guohui1
	NIE Huai1

Cite this article:

GE Shangqi1,JIANG Wenhao2,ZHENG Lingwei1, et al. The general analytical solutions for one-dimensional large deformation consolidation of soft soils with time-dependent loading[J]. , 2022, 41(S2): 3464-3475.

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https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2021.1320 OR https://rockmech.whrsm.ac.cn/EN/Y2022/V41/IS2/3464

[1] TERZAGHI K. Erdbaumechanik auf bodenphysikalischer grundlage[M]. Vienna：Leipzig Deuticke，1925：175–176. [2] 庄迎春，刘世明，谢康和. 萧山软黏土一维固结系数非线性研究[J]. 岩石力学与工程学报，2005，24(24)：4 565–4 569.(ZHUANG Yingchun，LIU Shiming，XIE Kanghe. Study on nonlinearity of one-dimensional consolidation coefficient of Xiaoshan clay[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(24)：4 565–4 569.(in Chinese)) [3] ABBASI N，RAHIMI H，JAVADI A A，et al. Finite difference approach for consolidation with variable compressibility and permeability[J]. Computers and Geotechnics，2007，34(1)：41–52. [4] 谢康和，齐添，胡安峰，等. 基于GDS的黏土非线性渗透特性试验研究[J]. 岩土力学，2008，29(2)：420–424.(XIE Kanghe，QI Tian，HU Anfeng，et al. Experimental study on nonlinear permeability characteristics of Xiaoshan clay[J]. Rock and Soil Mechanics，2008，29(2)：420–424.(in Chinese)) [5] 徐海洋，周志芳，高宗旗. 地面沉降过程中固结系数的试验研究[J].岩土工程学报，2011，33(12)：1 969–1 973.(XU Haiyang，ZHOU Zhifang，GAO Zongqi. Experimental study on coefficient of consolidation of land subsidence[J]. Chinese Journal of Geotechnical Engineering，2011，33(12)：1 969–1 973.(in Chinese)) [6] 章为民，顾行文，王芳. Terzaghi固结系数的试验反演分析[J]. 岩土工程学报，2016，38(增1)：99–103.(ZHANG Weimin，GU Xingwen，WANG Fang. Back analysis of Terzaghi consolidation coefficient[J]. Chinese Journal of Geotechnical Engineering，2016，38(Supp.1)：99–103.(in Chinese)) [7] 李春玲，钱丽英，周献涛. 改进的FOX一维大变形固结模型在软土路基沉降计算中的应用[J]. 土工基础，2015，29(3)：145–148.(LI Chunling，QIAN Liying，ZHOU Xiantao. The application of Fox?s one-dimensional large strain consolidation model in settlement estimation for embankment construction on soft soils[J]. Soil Engineering and Foundation，2015，29(3)：145–148.(in Chinese)) [8] AGAPITO L A，BAREITHER C A. Application of a one-dimensional large-strain consolidation model to a full-scale tailings storage facility[J]. Minerals Engineering，2018，119：38–48. [9] OLSON R E. Settlement of embankments on soft clays[J]. Journal of Geotechnical and Geoenvironmental Engineering，1998，124(8)： 659–669. [10] 魏丽敏，何群，王永和. 软土路基大应变黏弹塑性正/反分析沉降预测对比[J]. 岩土力学，2010，31(8)：2 630–2 637.(WEI Limin，HE Qun，WANG Yonghe. Comparison of settlement prediction from back analysis with forward analysis for embankment on soft soil foundation based on large strain and visco-elastoplastic model[J]. Rock and Soil Mechanics，2010，31(8)：2 630–2 637.(in Chinese)) [11] 谭儒蛟，焦宇杰，徐文杰. 天津滨海软土蠕变参数及路基沉降效应分析[J]. 水文地质工程地质，2015，42(4)：67–73.(TAN Rujiao，JIAO Yujie，XU Wenjie. Tests on the creep parameters of the soft soil in Tianjin coastal region and analysis on the effect of subgrade settlement deformation[J]. Hydrogeology and Engineering Geology，2015，42(4)：67–73.(in Chinese)) [12] 商拥辉，徐林荣，王克宏. 电厂循环管淤泥质地基过大沉降加固效果研究[J]. 地下空间与工程学报，2019，15(2)：556–574.(SHANG Yonghui，XU Linrong，WANG Kehong. Study on reinforcement effect of muddy soil foundation over large sedimentation in power plant[J]. Chinese Journal of Underground Space and Engineering，2019，15(2)：556–574.(in Chinese)) [13] GIBSON R E，ENGLAND G L，HUSSEY M J L. The theory of one-dimensional consolidation of saturated clays：I. finite non-linear consolidation of thin homogeneous layers[J]. Geotechnique，1967，17(3)：261–273. [14] GIBSON R E，SCHIFFMAN R L，CARGILL K W. The theory of one-dimensional consolidation of saturated clays：II. finite nonlinear consolidation of thick homogeneous layers[J]. Canadian Geotechnical Journal，1981，18(2)：280–293. [15] 江辉煌，刘国楠，赵有明. Gibson一维固结方程的一种求解方法[J]. 岩土工程学报，2010，32(5)：745–750.(JIANG Huihuang，LIU Guonan，ZHAO Youming. A solution of Gibson?s governing equation of one-dimensional consolidation[J]. Chinese Journal of Geotechnical Engineering，2010，32(5)：745–750.(in Chinese)) [16] 龚文惠，赵旭东，邱金伟，等. 饱和软土大应变自重固结非线性分析[J]. 岩土力学，2019，40(6)：2 099–2 107.(GONG Wenhui，ZHAO Xudong，QIU Jinwei，et al. Nonlinear analysis of one-dimensional consolidation of saturated clay including dead-weight effects and large strain[J]. Rock and Soil Mechanics，2019，40(6)：2 099–2 107.(in Chinese)) [17] 谢新宇，朱向荣，谢康和，等. 饱和土体一维大变形固结理论新进展[J]. 岩土工程学报，1997，19(4)：30–38.(XIE Xinyu，ZHU Xiangrong，XIE Kanghe，et al. New development of saturated soil one-dimensional large-strain consolidation theories[J]. Chinese Journal of Geotechnical Engineering，1997，19(4)：30–38.(in Chinese)) [18] 谢新宇，刘育民，潘秋元. 渗透系数变化对一维大变形固结性状的影响[J].岩土工程学报，2000，22(4)：509–511.(XIE Xinyu，LIU Yumin，PAN Qiuyuan. Effects of variable permeability on one- dimensional large strain consolidation[J]. Chinese Journal of Geotechnical Engineering，2000，22(4)：509–511.(in Chinese)) [19] 袁大军，丁洲祥，朱合华，等. Gibson大变形固结理论的一种连续介质力学表述[J]. 岩土力学，2009，30(7)：1 904–1 908.(YUAN Dajun，DING Zhouxiang，ZHU Hehua，et al. A continuum mechanics-based description for Gibson?s finite-strain consolidation theory[J]. Rock and Soil Mechanics，2009，30(7)：1 904–1 908.(in Chinese)) [20] 吴健，谢新宇，朱向荣. 饱和土体一维复杂非线性固结特性研究[J]. 岩土力学，2010，31(1)：81–86.(WU Jian，XIE Xinyu，ZHU Xiangrong. Study of properties of 1D complex nonlinear consolidation of saturated soils[J]. Rock and Soil Mechanics，2010，31(1)：81–86.(in Chinese)) [21] 洪振舜. 吹填土一维大变形固结计算模型[J]. 河海大学学报，1987，15(6)：27–36.(HONG Zhenshun. One-dimensional mathematical model for large strain consolidation of dredged-fill soil[J]. Journal of Hohai University，1987，15(6)：27–36.(in Chinese)) [22] 洪振舜. 大变形固结计算模型及定解条件的探讨[J]. 河海大学学报，1988，16(5)：106–115.(HONG Zhenshun. Study on initial consolidation and boundary conditions of large deformation consolidation theory[J]. Journal of Hohai University，1988，16(5)：106–115.(in Chinese)) [23] 谢新宇，张继发，曾国熙. 饱和土体自重固结问题的相似解[J]. 应用数学和力学，2005，26(9)：1 061–1 066.(XIE Xinyu，ZHANG Jifa，ZENG Guoxi. Similarity solution of self-weight consolidation problem for saturated soil[J]. Applied Mathematics and Mechanic，2005，26(9)：1 061–1 066.(in Chinese)) [24] FOX P J，BERLES J D. CS2：A Piecewise-linear model for large strain consolidation[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1997，21(7)：453–475. [25] FOX P J，PU H. Enhanced CS2 model for large strain consolidation[J]. International Journal of Geomechanics，2012，12(5)：574–583. [26] 李冰河，应宏伟，谢康和，等. 考虑土体自重的一维大应变固结分析[J]. 土木工程学报，2000，33(3)：54–59.(LI Binghe，YING Hongwei，XIE Kanghe，et al. Analysis of 1-D large-strain consolidation considering the self-weight of soils[J]. China Civil Engineering Journal，2000，33(3)：54–59.(in Chinese)) [27] 李传勋，谢康和. 指数形式渗流定律下软土非线性大变形固结分析[J]. 岩土力学，2013，34(10)：2 991–2 996.(LI Chuanxun，XIE Kanghe. Analysis of nonlinear large-strain consolidation of soft clay with exponential seepage flow law[J]. Rock and Soil Mechanics，2013，34(10)：2 991–2 996.(in Chinese)) [28] 李传勋，徐超，谢康和. 基于起始水力坡降的软土一维大变形固结分析[J]. 岩石力学与工程学报，2015，34(增1)：3 525–3 533.(LI Chuanxun，XU Chao，XIE Kanghe. Analysis of one-dimensional large-strain consolidation of soft soil with threshold gradient[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(Supp.1)：3 525–3 533.(in Chinese)) [29] LI C，XIAO J，WU W，et al. Analysis of 1D large strain consolidation of structured marine soft clays[J]. Journal of Zhejiang University- Science A：Applied Physics and Engineering，2020，21(1)：29–43. [30] LEE K，SILLS G C. The consolidation of a soil stratum，including self-weight effects and large strains[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1981，5(4)：405–428. [31] 谢新宇，张继发，曾国熙. 半无限体地基一维非线性大变形固结解析分析方法研究[J]. 水利学报，2002，(7)：16–22.(XIE Xinyu，ZHANG Jifa，ZENG Guoxi. Analytical method for 1-D non-linear large strain consolidation of semi-infinite saturated clay layer[J]. Journal of Hydraulic Engineering，2002，(7)：16–22.(in Chinese)) [32] 谢康和，郑辉，LEO C J. 软黏土一维非线性大应变固结解析理论[J]. 岩土工程学报，2002，24(6)：680–684 (XIE Kanghe，ZHENG Hui，LEO C J. An analytical theory for 1-D nonlinear large strain consolidation of soft clay[J]. Chinese Journal of Geotechnical Engineering，2002，24(6)：680–684.(in Chinese)) [33] XIE K H，LEO C J. Analytical solutions of one-dimensional large strain consolidation of saturated and homogeneous clays[J]. Computers and Geotechnics，2004，31(4)：301–314. [34] 江文豪，詹良通，杨策. 连续排水边界条件下饱和软土一维大变形固结解析解[J]. 中南大学学报：自然科学版，2020，51(5)：1 289–1 298.(JIANG Wenhao，ZHAN Liangtong，YANG Ce. Analytical solution for one-dimensional large strain consolidation of saturated soft soils with continuous drainage boundary[J]. Journal of Central South University：Science and Technology，2020，51(5)：1 289– 1 298.(in Chinese)) [35] 李传勋，仇超. 高压缩性软土一维非线性大应变固结解析解[J]. 岩石力学与工程学报，2021，40(11)：2 344–2 356.(LI Chuanxun，QIU Chao. An analytical solution for one-dimensional nonlinear large-strain consolidation of soft clay with high compressibility[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(11)：2 344–2 356.(in Chinese)) [36] 谢康和，郑辉，LEO C J. 变荷载下饱和软黏土一维大应变固结解析理论[J]. 水利学报，2003，(10)：6–13.(XIE Kanghe，ZHENG Hui，LEO C J. Analytical solution for 1-D large strain consolidation of saturated soft clay under time-depending loading[J]. Journal of Hydraulic Engineering，2003，(10)：6–13.(in Chinese)) [37] 仇超，李传勋，李红军. 单级等速加载下高压缩性软土非线性大应变固结解析解[J]. 岩土力学，2021，42(8)：2 195–2 206.(QIU Chao，LI Chuanxun，LI Hongjun. Analytical solutions for one- dimensional nonlinear large-strain consolidation of high compressible soil under a ramp loading[J]. Rock and Soil Mechanics，2021，42(8)：2 195–2 206.(in Chinese)) [38] 江文豪，詹良通，郭晓刚. 吹填软土一维大变形自重固结的有限差分数值解[J]. 土木工程学报，2020，53(12)：118–127.(JIANG Wenhao，ZHAN Liangtong，GUO Xiaogang. Finite difference numerical solution of one-dimensional large strain and self-weight consolidation of dredged-fill soil[J]. China Civil Engineering Journal，2020，53(12)：118–127.(in Chinese)) [39] 常林越，王金昌，朱向荣. 多级线性荷载下饱和软黏土一维大应变固结解析解[J]. 岩土力学，2009，30(8)：2 343–2 347.(CHANG Linyue，WANG Jinchang，ZHU Xiangrong. An analytical solution of 1-D finite strain consolidation of saturated soft clay under multistep linear loading[J]. Rock and Soil Mechanics，2009，30(8)：2 343– 2 347.(in Chinese)) [40] 时刚，刘忠玉，李永辉. 循环荷载作用下考虑非达西渗流的软黏土一维流变固结分析[J]. 岩土力学，2018，39(增1)：521–528.(SHI Gang，LIU Zhongyu，LI Yonghui. One-dimensional rheological consolidation of soft clay under cyclic loadings considering non-Darcy flow[J]. Rock and Soil Mechanics，2018，39(Supp.1)：521–528.(in Chinese)) [41] 童立红，王珏，郭生根，等. 变荷载下连续排水边界黏弹性地基一维固结性状分析[J]. 岩土力学，2019，40(5)：1 862–1 868.(TONG Lihong，WANG Jue，GUO Shenggen，et al. One-dimensional consolidation characteristics of viscoelastic foundation with continuous drainage boundary under time-dependent loading[J]. Rock and Soil Mechanics，2019，40(5)：1 862–1 868.(in Chinese)) [42] 黄杰卿. 非线性大应变固结理论与试验研究[博士学位论文][D]. 杭州：浙江大学，2015.(HUANG Jieqing. Theoretical and experimental study on nonlinear finite strain consolidation[Ph. D. Thesis][D]. Hangzhou：Zhejiang University，2015.(in Chinese)) [43] TAVENAS F A，JEAN P，LEBLOND P，et al. The permeability of natural soft clays. Part II：Permeability characteristics[J]. Canadian Geotechnical Journal，1983，20(4)：645–660.