Simplified analytical solution of one-dimensional nonlinear consolidation of soil based on reduced order method

被引：0

作者：

Wang H. ^{[1
,2
]}

Xu W. ^{[1
]}

Li C. ^{[3
]}

机构：

[1] Department of Civil Engineering, Shanghai University, Shanghai

[2] Shanghai Urban Construction Municipal Engineering(Group) Co. Ltd., Shanghai

[3] Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang

来源：

Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering | 2022年 / 41卷 / 01期

关键词：

Analytical solution; Equivalent coefficient; Nonlinear; One-dimensional consolidation; Soil mechanics;

D O I：

10.13722/j.cnki.jrme.2021.0099

中图分类号：

学科分类号：

摘要：

The second-order partial differential equation is used in the traditional calculation of soil consolidation. However, it is difficult to obtain analytical solutions in most cases for nonlinear consolidation problems. To solve this problem, a simplified analytical solution considering the nonlinear characteristics of soil is presented by reducing the order and introducing an equivalent coefficient that reflects the nonlinear characteristics of the soil. The analytical solution can be expressed by elementary function, which can more conveniently calculate the degree of consolidation and the excess pore water pressure at each stage of soil. The error between the analytical solution and the differential numerical solution is less than 4.5% in the early consolidation stage, and the maximum deviation is about 10% in the late consolidation stage. Based on the analytical solution, it is easier to take other factors affecting consolidation into account, which provides a new way to deal with the consolidation problem. © 2022, Science Press. All right reserved.

引用

页码：195 / 204

页数：9

共 18 条

[1]

TERZAGHI K., Die Berechnung der durchlassigkeitsziffer des tones aus dem verlauf der hidrodynamichen span-nungserscheinungen akademie der wissenschaften in wien, Mathematish-Naturwissen-Schaftiliche Klasse, 132, 3, pp. 125-138, (1923)

[2]

DAVIS E H, RAYMOND G P., A non-linear theory of consolidation, Geotechnique, 15, 2, pp. 161-173, (1965)

[3]

POSKITT T J., The consolidation of saturated clay with variable permeability and compressibility, Géotechnique, 19, 2, pp. 234-252, (1969)

[4]

MESRI G, ROKHSAR A., Theory of consolidation for clays, Journal of Geotechnical Engineering ASCE, 100, GTB, pp. 889-904, (1974)

[5]

LI Binghe, WANG Kuihua, XIE Kanghe, Et al., One-dimensional non-linear consolidation analysis of soft clay by FDM, Journal of Zhejiang University: Engineering Science, 34, 4, pp. 28-33, (2000)

[6]

LI Binghe, XIEYongli, XIE Kanghe, Et al., Semi-analytical solution of one dimensional non-linear consolidation of soft clay, Journal of Xi'an Highway University, 19, 1, pp. 27-32, (1999)

[7]

LEKHA K R, KRISHNASWAMY N R, BASAK P., Consolidation of clays for variable permeability and compressibility, Journal of Geotechnical and Geoenvironmental Engineering, 129, 11, pp. 1001-1009, (2003)

[8]

LI Chuanxun, WANG Su, An analytical solution for one-dimensional nonlinear consolidation of soft soil, Rock and Soil Mechanics, 39, 10, pp. 3548-3554, (2018)

[9]

HUANG Chaoxuan, Simplified solution of one-dimensional nonlinear consolidation of soft soil foundation, Journal of Yangtze River Scientific Research Institute, 35, 12, pp. 90-95, (2018)

[10]

LIU Zhongyu, JIU Yongzhi, YUE Jinchao, Et al., One-dimensional nonlinear consolidation analysis of saturated clay based on the non-Darcy flow, Chinese Journal of Rock Mechanics and Engineering, 29, 11, pp. 2348-2355, (2010)

← 1 2 →