摘要
对水位波动条件下有封底基坑二维渗流场孔压响应进行了解析研究。将基坑周围土体划分为多个区域,应用叠加原理和分离变量法将各区域超静孔压响应分布用级数形式进行表达,结合区域间边界条件和连续条件求解系数矩阵,得到水位波动条件下有封底层基坑二维渗流场超静孔压分布的显式解析解。将解析解结果与数值计算结果进行对比,验证了解析方法的正确性。基于该解析解进一步给出了水位波动引起出逸比降和涌水量的计算公式,对封底层作用效果和封底层厚度、渗透系数变化产生的影响进行了探讨,并结合基坑工程实例进行了分析。结果表明:随着封底层厚度减小和渗透系数增大,出逸比降和单宽渗流量均增大,但增大的速率降低。
The pore pressure response of two-dimensional seepage field of a foundation pit with a sealed bottom under the condition of water level fluctuation is studied analytically.The soil around the pit is divided into several regions,and the excess pore water pressure response distribution in each region is expressed in the form of a series by applying the superposition principle and the separation variable method,and the coefficient matrix is solved by combining the inter-region boundary conditions and the continuity conditions to obtain the explicit analytical solution of the excess pore water pressure distribution of the two-dimensional seepage field in the pit with a capping layer under the fluctuation of water level.The results of the analytical solution are compared with the numerical results,and the correctness of the analytical method is verified.Based on this analytical solution,calculation formulae for the outflow ratio drop and water inflow caused by water level fluctuations are further provided.The sealing effect of the bottom layer and influences of the bottom layer thickness and permeability coefficient changes are discussed through a pit project example.The results show that the outflow ratio drop and single width seepage discharge are increased,but the rate of increase reduces as the bottom layer thickness decreases and the permeability coefficient increases.
作者
余俊
张志中
郑靖凡
和振
YU Jun;ZHANG Zhi-zhong;ZHENG Jing-fan;HE Zhen(School of Civil Engineering,Central South University,Changsha,Hunan 410075,China)
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2023年第12期3415-3423,共9页
Rock and Soil Mechanics
基金
国家自然科学基金(No.52078496)。
关键词
解析解
基坑
渗流
水位波动
孔压
analytical solution
foundation pit
seepage flow
water level fluctuation
pore pressure
作者简介
第一作者:余俊,男,1978年生,博士,副教授,主要从事岩土及地下工程方面的研究,E-mail:jjyy1017@163.com。
