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首页> 外文期刊>Hydrotechnical Construction >MATHEMATICAL MODEL FOR UNSTEADY FLOW FILTRATION IN HOMOGENEOUS CLOSING DIKES
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MATHEMATICAL MODEL FOR UNSTEADY FLOW FILTRATION IN HOMOGENEOUS CLOSING DIKES

机译：均匀关闭堤防中不稳定流过滤的数学模型

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摘要

A dike is a barrier used to regulate or hold back water from a river, lake, or even the ocean. The performance of the dikes depends on various factors such as seepage area, height of seepage area, length of dike, filtration rate, etc. Our article considers filtration calculations of a homogeneous closing dike by determining the instantaneous filtration flow rate and seepage area and proposes a mathematical model to optimize the efficiency of dikes. It is known that the value of the height of seepage area (break in the depression curve) can be obtained from the equation of the Boussinesq initial and final boundary problem for a solitary flow wave. Further, it is proved experimentally by using closing dikes made of temporary hydraulic structures. The motion of the filtration stream is stabilized when the depression curve reaches the steady-state configuration, that is, when the flow wave travels a distance equal to the closing dike length. If the length of closing dike is large enough so that the outcrop point of the depression curve has sufficient time to reach the downstream, then there is no possibility for the formation of seepage area. If the length of closing dike is small, then the outcrop point does not have time to reach the downstream and so seepage area is formed. To avoid and solve this problem, the angular point of the depression curve and the finite period of seepage area formation are used. The stationary positions of the depression curve in a rectangular closing dike are obtained that results in an instantaneous monotonic (in the absence of infiltration and evaporation) curve, which is tangent to outcrop point in the downstream side and the initial water level inside the closing dike.
机译：堤防是用于调节或阻止来自河流，湖泊，甚至海洋的水的障碍。堤坝的性能取决于各种因素，如渗流面积，渗流面积的高度，堤防的长度，过滤率等。我们的文章通过确定瞬时过滤流速和渗流区域并提出来进行均匀关闭堤防的过滤计算一种优化堤坝效率的数学模型。众所周知，渗流面积的高度（凹陷曲线中的断裂）的值可以从BoussinesQ初始和最终边界问题的方程获得，用于孤立流浪波。此外，通过使用由临时液压结构制成的关闭堤防实验实验证明。当凹陷曲线到达稳态配置时，稳定过滤流的运动，即当流浪波行进到等于关闭堤道长度的距离时。如果关闭堤坝的长度足够大，使得抑郁曲线的露头点具有足够的时间来到达下游，则没有可能形成渗流区域。如果关闭堤防的长度很小，则露头点没有时间到达下游，因此形成渗流区域。为了避免和解决这个问题，使用凹陷曲线的角度点和渗流区域形成的有限时间。获得矩形闭合堤中的凹陷曲线的固定位置，从而导致瞬时单调（在没有渗透和蒸发）曲线上，这与下游侧的露头点和闭合堤内的初始水位相切。 。

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