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陈东霞, 杨雪菲, 杨明辉, 孟旭, 陈波, 袁博. 悬挂止水帷幕下非稳定流模型解析解及应用[J]. 岩土工程学报. DOI: 10.11779/CJGE20240036
引用本文: 陈东霞, 杨雪菲, 杨明辉, 孟旭, 陈波, 袁博. 悬挂止水帷幕下非稳定流模型解析解及应用[J]. 岩土工程学报. DOI: 10.11779/CJGE20240036
Analytical solution and application of unsteady flow model under suspended curtain[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240036
Citation: Analytical solution and application of unsteady flow model under suspended curtain[J]. Chinese Journal of Geotechnical Engineering. DOI: 10.11779/CJGE20240036

悬挂止水帷幕下非稳定流模型解析解及应用

Analytical solution and application of unsteady flow model under suspended curtain

  • 摘要: 临海(江)地铁深基坑多采用截(止水帷幕)排水的联合降水措施。这类基坑周围的地下水因受海(江)水补给影响多呈非稳定流动性状。为此,建立考虑悬挂式止水帷幕及固定补给的基坑承压含水层抽水数学模型,采用Laplace变换和有限Fourier余弦变换获得水位降深在Laplace空间域内的解,再用Stehfest数值反演法得到其在实际空间的解析解。然后通过退化解和数值模拟分别验证了解析解的正确性。最后,利用解析解分析基坑周围地下水的非稳定特性得到以下结论:抽水后期,地下渗流趋于稳定后,止水帷幕插入比越大,基坑内抽水含水层水位降深越大,而基坑外抽水含水层水位降深随着止水帷幕插入比的增大不断减小;当固定补给距离基坑越近,基坑内抽水含水层水位达到稳定的时间越短,且达到稳定后水位降深越小;基坑外抽水含水层水位降深受含水层各向异性影响明显。同时,提出相对降深比对固定补给影响分区:高影响区、过渡区和低影响区。针对不同影响区提出相应设计及施工方案以确保基坑的止降水效果。

     

    Abstract: The combined dewatering measures of intercepting and drainage are mostly adopted the deep excavation of subway project constructed by seas or rivers. The groundwater around these deep excavation mostly exhibits unstable flow behaviors due to the influence of sea(river) water recharge. Therefore, a practical calculation model for pumping water from confined aquifer considering suspended curtain and fixed recharge is established. The drawdown solution in Laplace space is obtained by using Laplace transform and finite Fourier cosine transform, and inverted into the real space by using Stehfest numerical inversion method. Moreover, degenerate analysis and finite element numerical solution are applied to validated the correctness of the analytical solution. Finally, based on the analytical solution, the unstable characteristics of groundwater under deep excavation are analyzed and the following conclusions are obtained: at the later stage of pumping, after the groundwater seepage tends to be stable, the greater the insertion ratio of the water stop curtain, the greater the water level drop of the pumping aquifer in the foundation pit, and the water level drop of the pumping aquifer outside the foundation pit decreases with the increase of the insertion ratio of the water stop curtain; The closer the fixed recharge is to the foundation pit, the shorter the time for the water level of the pumping aquifer in the foundation pit to reach stability, and the smaller the water level drop after reaching stability; The water level drop of the pumped aquifer outside the foundation pit is significantly affected by the anisotropy of the aquifer. Meanwhile, a relative depth reduction ratio is proposed to divide the impact of fixed recharge into three zones: high impact zone, transition zone, and low impact zone. Corresponding design and construction suggestions are put forward for different affected areas to ensure the dewatering effect of the foundation pit.

     

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