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止水帷幕渗漏时基坑稳态渗流场解析解

Analytical Solution for Steady-State Seepage in Pits During Water Stop Curtain Leakage
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摘要 为了研究止水帷幕渗漏时的各向同性土层中基坑的二维稳态渗流场,根据基坑的对称性取基坑的一半截面进行计算,将止水帷幕周围土层划分为5个规则的区域,利用叠加法和分离变量法求出这5个区域内的水头分布级数解,结合区域间的连续条件得出基坑周围渗流场的显式解析解.将得到的水头、水压力和止水帷幕渗漏处渗流量计算结果与有限元软件计算结果以及文献中的结果进行对比,验证了解析解的正确性,相较于有限元解,解析解具有更高的计算效率.通过参数分析发现,竖向渗漏裂缝位置和宽度对基坑水头分布和止水帷幕上的水压力的影响较小,对渗漏位置处的渗流量的影响较大. To study the two-dimensional steady-state seepage in a pit with isotropic soil during water stop curtain leakage,half the pit’s cross-section is analyzed due to symmetry.The soil around the water curtain is divided into five regions,and the head distribution is solved using superposition and separation of variables,leading to an explicit analytical solution for the seepage field,considering continuity between regions.Results for head,water pressure,and seepage flow volume at leakage are compared with that of finite element software and references,confirming the analytical solution’s accuracy and efficiency.Parameter analysis shows that vertical leakage crack location and width have minimal impact on head and pressure but significantly affect seepage flow volume.
作者 余俊 张伟杰 李东凯 YU Jun;ZHANG Wei-jie;LI Dong-kai(School of Civil Engineering,Central South University,Changsha 410075,China)
出处 《东北大学学报(自然科学版)》 CSCD 北大核心 2024年第12期1778-1786,共9页 Journal of Northeastern University(Natural Science)
基金 国家自然科学基金资助项目(52478427)。
关键词 二维稳态渗流 显式解析解 水压力 渗流量 止水帷幕渗漏 two-dimensional steady-state seepage explicit analytical solution water pressure seepage volume water stop curtain leakage
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