地下水位波动条件下基坑渗流场孔压解析解

doi:10.12068/j.issn.1005-3026.2023.07.017

东北大学学报（自然科学版） ›› 2023, Vol. 44 ›› Issue (7): 1041-1048.DOI: 10.12068/j.issn.1005-3026.2023.07.017

地下水位波动条件下基坑渗流场孔压解析解

余俊，张志中，邓鹏兵，和振

(中南大学土木工程学院，湖南长沙410075)

发布日期:2023-07-13
通讯作者: 余俊
作者简介:余俊(1978-)，男，湖北新洲人，中南大学副教授.
基金资助:
国家自然科学基金资助项目(52078496).

Analytical Solution of Pore Pressure in Foundation Pit Seepage Field Under Groundwater Level Fluctuation

YU Jun， ZHANG Zhi-zhong， DENG Peng-bing， HE Zhen

School of Civil Engineering， Central South University， Changsha 410075， China.

Published:2023-07-13
Contact: YU Jun
About author:-
Supported by:
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摘要/Abstract

摘要： 对地下水位周期性波动条件下的各向同性土层中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4个规则区域，应用叠加原理和分离变量法得到各区域内孔压响应的级数解形式表达式，结合各区域间连续条件求解基坑周围渗流场孔压的显式解析解.将解析解结果、数值结果及半解析解结果进行对比，验证了该解析解方法的正确性.基于该解分析了基坑内、外侧水位等工程参数对孔压响应分布和相位滞后的影响，结果表明基坑工程参数对孔压响应和相位滞后有较大影响，对远场孔压响应和基坑内部相位滞后的影响更加明显.

关键词: 分离变量法；基坑渗流场；解析解；孔压响应；相位滞后

Abstract: The pore pressure response of a two-dimensional seepage field in an isotropic soil layer under the condition of periodic fluctuation of groundwater level is studied analytically. The soil around the pit is divided into four regular regions， and the expressions of the series solution form of the pore pressure response in each region are obtained by applying the superposition principle and the method of separation of variables， and the explicit analytical solution of the pore pressure of the seepage field around the pit is solved by combining the continuous conditions between the regions. The results of the analytical solution are compared with the results of numerical software and semi-analytical solutions to verify the correctness of the analytical solution method in this paper. Based on this solution， the influence of the variation of engineering parameters such as water level inside and outside the pit on the pore pressure response distribution and phase lag is analyzed. The results show that the pore pressure response and phase lag are influenced by the engineering parameters of the pit， and the influence on the far-field pore pressure response and the phase lag inside the pit is more obvious.

Key words: separation of variable method; foundation pit seepage field; analytical solution; pore pressure response; phase lag

中图分类号:

TU43

余俊，张志中，邓鹏兵，和振. 地下水位波动条件下基坑渗流场孔压解析解[J]. 东北大学学报（自然科学版）, 2023, 44(7): 1041-1048.

YU Jun， ZHANG Zhi-zhong， DENG Peng-bing， HE Zhen. Analytical Solution of Pore Pressure in Foundation Pit Seepage Field Under Groundwater Level Fluctuation[J]. Journal of Northeastern University(Natural Science), 2023, 44(7): 1041-1048.

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地下水位波动条件下基坑渗流场孔压解析解

Analytical Solution of Pore Pressure in Foundation Pit Seepage Field Under Groundwater Level Fluctuation

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