连续排水边界下成层地基一维非线性固结解析解  

Analytical solution for one-dimensional nonlinear consolidation of layered soils with continuous drainage boundary

作　　者：宗梦繁 吴文兵 张驿 梅国雄 闻敏杰 ZONG Meng-fan;WU Wen-bing;ZHANG Yi;MEI Guo-xiong;WEN Min-jie(School of Civil and Ocean Engineering,Jiangsu Ocean University,Lianyungang 222005,China;Faculty of Engineering,China University of Geosciences,Wuhan 430073,China;College of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China;Research Center of Coastal Urban Geotechnical Engineering,Zhejiang University,Hangzhou 310058,China)

机构地区：[1]School of Civil and Ocean Engineering,Jiangsu Ocean University,Lianyungang 222005,China [2]Faculty of Engineering,China University of Geosciences,Wuhan 430073,China [3]College of Civil Engineering and Architecture,Guangxi University,Nanning 530004,China [4]Research Center of Coastal Urban Geotechnical Engineering,Zhejiang University,Hangzhou 310058,China

出　　处：《Journal of Central South University》2023年第2期503-516,共14页中南大学学报（英文版）

基　　金：Projects(52108347, 52178371, 52178321, 52108322, 41867034) supported by the National Natural Science Foundation of China。

摘　　要：为了研究边界排水时间效应对固结过程的影响,引入连续排水边界研究成层地基一维非线性固结问题。通过引入孔隙比与有效应力之间的非线性关系,建立了瞬时荷载作用下成层地基固结问题的控制方程,进而获得按沉降定义和按超静孔隙水压力定义的平均固结度以及成层地基沉降的解析解。通过与有限差分解析解对比以及现有解析解对比验证了所得解析解的正确性。基于所得解,通过详细的参数分析研究了成层地基一维非线性固结特性。结果表明,排水界面参数对成层地基的固结性状有很大影响,固结速率随界面参数的增大而增大。在连续排水边界条件下,按沉降定义的平均固结度随有效应力比的增大而增大,而按超静孔隙水压力定义的平均固结度随有效应力比的增大而减小。In order to study the influence of time effect of boundary drainage on consolidation process,the continuous drainage boundary is introduced to investigate the one-dimensional nonlinear consolidation problem of layered soils.The governing equations for the consolidation problem of layered soils under constant loading are established by introducing the nonlinear relationship between void ratio and effective stress.The analytical solutions of the excess pore water pressure and the average consolidation degrees defined by both settlement and excess pore water pressure of layered soils are derived.The correctness of the proposed solutions is verified by comparing with the finite difference solution and the existing analytical solution.Based on the proposed solution,the one-dimensional nonlinear behavior of layered soils is studied by a detailed parametric study.The results show that,the consolidation behaviors of the layered soils are greatly affected by the interface parameter of drainage boundary,and the consolidation rate increases as the interface parameter increases.Under the condition of continuous drainage boundary,the average consolidation degree defined by settlement increases with the increase of effective stress ratio,but the average consolidation degree defined by excess pore water pressure decreases with the increase of effective stress ratio.

关 键 词：非线性固结 成层地基 连续排水边界 界面参数 解析解 

分 类 号：TU472[建筑科学—结构工程]