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Stochastic analysis of seepage under water-retaining structures

机译:挡水结构下渗流的随机分析

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摘要

This paper investigated the problem of confined flow under dams and water retaining structures using stochastic modelling. The approach advocated in the study combined a finite elements method based on the equation governing the dynamics of incompressible fluid flow through aporous medium with a random field generator that generates random hydraulic conductivity based on log normal probability distribution. The resulting model was then used to analyse confined flow under a hydraulic structure. Cases for a structure provided with cutoff wall and when the wall did not exist were both tested. Various statistical parameters that reflected different degrees of heterogeneity were examined and the changes in the mean seepage flow, the mean uplift force and the mean exit gradient observed under the structure were analysed. Results reveal that under heterogeneous conditions, the reduction made by the sheet pile in the uplift force and exit hydraulic gradient may be underestimated when deterministic solutions are used.
机译:本文采用随机模型研究了大坝和保水结构下的密闭水流问题。研究中倡导的方法将基于控制不可压缩流体流经多孔介质的动力学方程的有限元方法与基于对数正态概率分布生成随机水力传导率的随机场发生器相结合。然后,将所得模型用于分析水工结构下的受限流。都测试了带有防渗墙的结构以及不存在防渗墙的情况。研究了反映不同程度异质性的各种统计参数,并分析了在该结构下观察到的平均渗流,平均抬升力和平均出口梯度的变化。结果表明,在非均质条件下,当使用确定性解时,板桩在提升力和出口水力梯度上的减小可能会被低估。

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