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中南大学学报(自然科学版)

Journal of Central South University

第47卷    第3期    总第259期    2016年3月

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文章编号:1672-7207(2016)03-0875-07
抽水引起的有起始比降饱和土固结解析解
张玮鹏1,谢康和1,吕文晓2,黄大中1,吴浩1

(1. 浙江大学滨海和城市岩土工程研究中心,软弱土与环境土工教育部重点实验室,浙江杭州,310058;
2. 杭州科技职业技术学院城市建设学院,浙江杭州,311402
)

摘 要: 研究在有起始比降的弱透水层下大面积抽水而引起的一维固结问题,采用分离变量法,获得该工况下的一维固结解析解。讨论土中渗流移动边界的运动规律,得渗流发展到达土层顶部的时间因子与起始比降的关系曲线,分析考虑起始比降后土体的一维固结和沉降特性。研究结果表明:当起始比降大于一定值时,渗流不会发展到达土层顶部,此时,弱透水层由于抽水引起的固结最终压缩量将减小,且起始比降越大,最终压缩量越小;当固结结束时,土体中孔隙水压力沿深度分布曲线为折线;而当渗流能够发展到达土层顶部时,最终压缩量为一定值,与起始比降无关,土体中的孔隙水压力沿深度分布曲线为直线。

 

关键词: 起始比降;大面积抽水;一维固结;解析解;非达西流

Analytical solution to one-dimensional consolidation of saturated soil with threshold gradient induced by groundwater pumping
ZHANG Weipeng1, XIE Kanghe1, LüWenxiao2, HUANG Dazhong1, WU Hao1

1.Research Center of Coastal and Urban Geotechnical Engineering, MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering, Zhejiang University, Hangzhou 310058, China;
2. Institute of Urban Construction, Hangzhou Polytechnic, Hangzhou 311402, China

Abstract:One-dimensional consolidation was induced by groundwater pumping beneath the aquitard with threshold gradient. General analytical solutions were obtained by the method of separation of variables. The motion law of moving boundary of seepage was discussed, the relationship between the time moving boundary of seepage that reaches the top of the layer and the threshold gradient was given, and the one-dimensional consolidation and the settlement characteristics of the layer were investigated. The results show that when the threshold gradient is big enough, the moving boundary of seepage will not reach the top of the layer.The final settlement of the layer due to groundwater pumping will decrease, and the bigger the threshold gradient, the smaller the final settlement. At the end of consolidation, the curve of pore water pressure versus depth will be piecewise-linear. Whereas the moving boundary of seepage can reach the top of the layer, the final settlement is constant and irrelevant to the threshold gradient, and the curve of pore water pressure versus depth will be linear.

 

Key words: threshold gradient; groundwater pumping; one-dimensional consolidation; analytical solutions; non-Darcian flow

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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