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吴世余, 宋新江. 不透水地基上堤坝渗流计算的理论解[J]. 岩土工程学报, 2010, 32(11): 1695-1702.
引用本文: 吴世余, 宋新江. 不透水地基上堤坝渗流计算的理论解[J]. 岩土工程学报, 2010, 32(11): 1695-1702.
Analytic solution of seepage calculation for dams and levees on impervious strata[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(11): 1695-1702.
Citation: Analytic solution of seepage calculation for dams and levees on impervious strata[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(11): 1695-1702.

不透水地基上堤坝渗流计算的理论解

Analytic solution of seepage calculation for dams and levees on impervious strata

  • 摘要: 提出堤坝流态分区的概念和在流量固定条件下,上下游流态互不影响的法则。这使堤坝的渗流求解趋于简化和方便。增添新的理论计算式计有:上游区浸润线反弯点位置的计算式,下游区浸润线方程的解析开拓式和式前的待定常数的计算式以及下游区的附加渗径长度计算式等。按努美罗夫理论解ΔL1= C1H1-C2q/k和柯钦娜理论解q/k = μh0,高精度计算出上游区附加渗径长度ΔL1的比例系数C1和C2以及流量和出逸点高度关系式的比例系数μ,并据以提出有足够精度的C1,C2和μ的拟合计算式,以便于应用。经数值比较,得出比例系数C1全同于边坡有压流附加渗径长度的比例系数C0的结果。对于有尾水位的堤坝,提出了计算出逸点高度和下游区附加渗径长度的两经验计算式,据以计算的结果和有限单元法相符。

     

    Abstract: An idea of dividing the dams and levees into three regions by seepage flow state and the rule of no flow state influence between the upstream and downstream region under fixed flow quantity are proposed. It will enable the seepage analysis and calculation of dams and levees to be simplified and convenient. New theoretical formulae for the following aspects are derived: the location of inflection point of upstream phreatic line, the analytical extension formula of downstream phreatic line and the undetermined constant before this formula, the additional length of downstream seepage path. According to the Normurov′s theory ΔL1= C1H1 -C2q/k and the Kochina′s theory q/k=μh0, the proportional coefficients C1 & C2 of the additional length of upstream seepage path as well as the ratio μ between the flow quantity and the height of release point are calculated. As a result, C1 is entirely equal to the corresponding data C0 of slope with confined flows. On the basis of these data, the formulae with enough precision by fitting method are given for the purpose of convenient application. For the dams and levees with tail water, two empirical formulae for the height of release point and the additional length of downstream seepage path are presented. The results conform to those by the finite element methods.

     

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