考虑应力沿深度变化的饱和软黏土一维固结半解析解

王晋宝; 童焯煜; 何博; 许光映

doi:10.21656/1000-0887.390265

考虑应力沿深度变化的饱和软黏土一维固结半解析解

doi: 10.21656/1000-0887.390265

浙江海洋大学港航与交通运输工程学院, 浙江舟山 316022

基金项目: 国家自然科学基金（11372281）

详细信息

作者简介:
王晋宝（1975—），男，教授，硕士生导师（通讯作者. E-mail: jinbaow@zjou.edu.cn）.

中图分类号: TU435
计量
- 文章访问数: 1019
- HTML全文浏览量: 196
- PDF下载量: 330
- 被引次数: 0
出版历程
- 收稿日期: 2018-10-10
- 修回日期: 2019-09-04
- 刊出日期: 2019-10-01

A Semi-Analytical 1D Consolidation Solution of Saturated Soft Clay With Changing Stresses Along the Depth

School of Port and Transportation Engineering, Zhejiang Ocean University, Zhoushan, Zhejiang 316022, P.R.China

Funds: The National Natural Science Foundation of China（11372281）

摘要

摘要: 针对饱和软黏土，结合引入弹壶元件改进的分数阶Kelvin模型，同时考虑土体内应力沿深度变化的特点，利用Laplace变换推导获得其一维固结半解析解.首先，通过与文献中的试验结果及文献中的理论结果对比，说明了该模型的有效性；其次，详细地分析了不同分数阶阶数、不同总应力比以及不同分级线性加载等因素对饱和软黏土固结沉降以及孔隙水压力的影响，再现了饱和软黏土的固结沉降机理，以期为工程实践提供相关的理论基础.
- 饱和软黏土 /
- 黏弹性 /
- 分数阶Kelvin模型 /
- 半解析解 /
- 分级线性加载
Abstract: A semi-analytical 1D consolidation solution of saturated soft clay was derived via the Laplace transform by means of the spring pot-based fractional-order Kelvin model and in view of changing inner stresses along the depth of the soft clay. Firstly, the validity of the semi-analytical solution was verified through comparison with the referential results. Then, the effects of different fractional orders, total stress ratios and multi-grade linear loadings on the consolidation settlement and the pore water pressure of the saturated soft clay were analyzed based on the semi-analytical solution in detail. The work provides a theoretical basis for the related practical geotechnical engineering.
- saturated soft clay /
- visco-elasticity /
- fractional-order Kelvin model /
- semi-analytical solution /
- multi-grade linear loading

HTML全文

参考文献(20)

[1]	TERZAGHI K. Theoretical Soil Mechanics [M]. New York: John Wiley and Sons Inc, 1943.
[2]	TAYLOR D W, MERCHANT W. A theory of clay consolidation accounting for secondary compression[J]. Journal of Mathematics and Physics,1940,19(3): 167-185.
[3]	孙海忠, 张卫. 一种分析软土黏弹性的分数导数开尔文模型[J]. 岩土力学, 2007,28(9): 1983-1986.(SUN Haizhong, ZHANG Wei. Analysis of soft soil with viscoelastic fractional derivative Kelvin model[J]. Rock and Soil Mechanics,2007,28(9): 1983-1986.(in Chinese))
[4]	刘忠玉, 杨强. 基于分数Kelvin模型的饱和黏土一维流变固结分析[J]. 岩土力学, 2017,38(12): 1001-1009.(LIU Zhongyu, YANG Qiang. One-dimensional rheological consolidation analysis of saturated clay using fractional order Kelvin’s model[J]. Rock and Soil Mechanics,2017,38(12): 1001-1009.(in Chinese))
[5]	汪磊, 孙德安, 解益, 等. 任意荷载下分数阶导数饱和软黏土体一维固结[J]. 岩土工程学报, 2017,39(10): 1823-1831.(WANG Lei, SUN Dean, XIE Yi, et al. One-dimensional consolidation of fractional derivative viscoelastic saturated soil under arbitrary load[J]. Chinese Journal of Geotechnical Engineering,2017,39(10): 1823-1831.(in Chinese))
[6]	谢康和, 潘秋元. 变荷载下任意层地基一维固结理论[J]. 岩土工程学报, 1995,17(5): 80-85.(XIE Kanghe, PAN Qiuyuan. One-dimensional consolidation theory of foundation in arbitrary layer under variable load[J]. Chinese Journal of Geotechnical Engineering,1995,17(5): 80-85.(in Chinese))
[7]	蔡袁强, 徐长节, 袁海明. 任意荷载下成层粘弹性地基的一维固结[J]. 应用数学和力学, 2001,22(3): 307-313.(CAI Yuanqiang, XU Changjie, YUAN Haiming. One dimensional consolidation of layered and visco-elastic solids under arbitrary loading[J]. Applied Mathematics and Mechanics,2001,22(3): 307-313.(in Chinese))
[8]	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, 2003,34(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,2003,34(10): 6-13.(in Chinese))
[9]	李传勋, 谢康和, 卢萌盟, 等. 变荷载下基于指数渗流双层地基一维固结分析[J]. 岩土力学, 2012,33(5): 1565-1571.(LI Chuanxun, XIE Kanghe, LU Mengmeng, et al. Analysis of one-dimensional consolidation of double-layered soil with exponential flow considering time-dependent loading[J]. Rock and Soil Mechanics,2012,33(5): 1565-1571.(in Chinese))
[10]	ZHU G F, YIN J H. Consolidation of soil under depth-dependent ramp load[J]. Canadian Geotechnical Journal,1998,35(2): 344-350.
[11]	卢萌盟, 谢康和, 李瑛, 等. 逐级加荷下考虑施工扰动的复合地基固结解[J]. 工业建筑, 2009,39(7): 56-60, 73.(LU Mengmeng, XIE Kanghe, LI Ying, et al. Analytical solution for the consolidation of a composite foundation considering the construction disturbance under progressive loading[J]. Industrial Construction,2009,39(7): 56-60, 73.(in Chinese))
[12]	LU Mengmeng, XIE Kanghe, WANG Sanyong. 1-D consolidation of a single soil layer with depth-dependent stress by multi-stage loading[J]. Chinese Journal of Geotechnical Engineering,2015,37(2): 330-336.
[13]	秦爱芳, 葛航. 线性加荷情况下非饱和土层一维固结特性分析[J]. 上海大学学报(自然科学版), 2016,22(5): 624-636.(QIN Aifang, GE Hang. Analysis of one-dimensional consolidation characteristics in unsaturated soil under line loads[J]. Journal of Shanghai University (Natural Science),2016,22(5): 624-636.(in Chinese))
[14]	CONTE E, TRONCONE A. One-dimensional consolidation under general time-dependent loading[J]. Canadian Geotechnical Journal,2006,43(11): 1107-1116.
[15]	CONTE E, TRONCONE A. Nonlinear consolidation of thin layers subjected to time-dependent loading[J]. Canadian Geotechnical Journal,2007,44(6): 717-725.
[16]	XIE K H, WANG K, WANG Y L, et al. Analytical solution for one-dimensional consolidation of clayey soils with a threshold gradient[J]. Computers and Geotechnics,2010,37(4): 487-493.
[17]	KOELLER R C. Applications of fractional calculus to the theory of viscoelasticity[J]. Journal of Applied Mechanics,1984,51(2): 299-307.
[18]	张玉国. 散体材料桩复合地基固结理论研究[D]. 博士学位论文. 杭州: 浙江大学, 2005.(ZHANG Yuguo. Study on consolidation theory of composite foundation of granular material piles[D]. PhD Thesis. Hangzhou: Zhejiang University, 2005.(in Chinese))
[19]	何光渝, 王卫红. 精确的拉普拉斯数值反演方法及其应用[J]. 石油学报, 1995,16(1): 96-104.(HE Guangyu, WANG Weihong. An application of an accurate and efficient numerical inversion of the Laplace transform in modern well-testing analysis [J]. Acta Petrolei Sinica,1995,16(1): 96-104.(in Chinese))
[20]	李西斌. 软土流变固结理论与试验研究[D]. 博士学位论文. 杭州: 浙江大学, 2005.(LI Xibin. Theory and experimental study on rheological consolidation of soft soil[D]. PhD Thesis. Hangzhou: Zhejiang University, 2005.(in Chinese))