EXPERIMENTAL ESTIMATION OF DETENTION IN STORM SEWER SYSTEM

T. Sueishi, A. Katsuya
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Abstract

In this paper, the results of experimental study on the storm runoff in urban area were described. The former investigations have been performed mainly based on theories or practical observations. The practical survey, however, is extremely difficult because of the problems of provision for sudden storm, scarcety of design storm occurrence and also the selection of proper gauge station in sewers. These difficulties may be the principal reasons why the progress of investigations of urban storm runoff is so slow. The model configuration of sewer system is not unable because the drainage area and sewer include comparatively many artificial elements. The present laboratory model herein used is only the system model of storm-plain basin-single sewer and will not be sufficient for the complete study, but would make a step further toward the better model to study the storm detention and runoff. The results of the present investigation will be summarized as follows.i) It was pointed out that the phenomena called as the flow detention, retardation, storage and flooding were the hydraulically identical phenomena and might be called “detention” in a wide sense. The detention formula may be available for the estimation of depression rate X for drainage pump capacity, provided that limits for b in Talbot's formula and the length of sewer are carefully selected, but the theoretical depression rate would become X'( = √ 2 X). The detention coefficient α is of different significance hydraulically from X and several questions are remained concerning with the theoretical procedure.ii) Experiments were made for the sewer slopes of 1/200 and 1/1 000. Applying the rational method, the rate of runoff becomes the maximum more rapidly than the actual. Sewer section design, therefore, is in safety side. The hydrograph agrees comparatively well with the actual one in case of the steep slope sewer if the roughness is selected properly. But the hydrograph is much different in the gentle slope, and the correction is difficult in the practical range of the roughness. This fact is ascribed to the so called natural detention and suggests that the Manning's formula which is the equation of motion of the rational method is no longer established in the gentle slope. If this detention is evaluated experimentally by the term of detention coefficient α, α becomes 1.30 in the slope of 1/1 000 but is unity in 1/200, so that α should be understood as the correction factor representing the difference between the hydrographs by the rational method and the actual one.iii) Any of control structure is understood to have the negative effects upon the capacity of dynamic storage except when the flooding in lower area is concerned or when the drainage pump capacity is designed to be depressed.iv) When the storage function method is used, the calculated hydrograph for steep slope agrees with the actual hydrograph. In the gentle slope area, the hydrograph is also not so good to be fitted. This method would be limited theoretically and the determination of the storage coefficients should be noted to be quite difficult.v) The flooding does not always occur by the increasing of return period because the maximum rate of runoff becomes steady state when calculated by the rational method. On the contrary, when calculated by any design method considering detention, the maximum rate of runoff is not necessarily in steady state and the flooding certainly occurs by the increase of return period. The return period should be determined in order to minimize the sum of cost and damage based on the possibility of flooding due to heavier rainfall.
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雨排水系统滞留的实验估计
本文介绍了城市暴雨径流的试验研究结果。以前的调查主要是根据理论或实际观察进行的。然而,由于暴雨的准备、设计暴雨发生的稀缺性以及在下水道中选择合适的测量站等问题,使实际调查工作极为困难。这些困难可能是城市暴雨径流调查进展缓慢的主要原因。由于排水区域和下水道中包含较多的人工因素,因此不能对下水道系统进行模型配置。本文所采用的实验室模型仅为暴雨平原流域-单沟渠系统模型,尚不足以进行完整的研究,但可以向更好的暴雨滞留和径流研究模型迈进一步。本文的研究结果总结如下:1)指出,所谓的流阻、滞流、蓄流和泛流现象是水力学上相同的现象,可以在广义上称为“滞流”。如果仔细选择塔尔博特公式中b的极限和下水道长度,则可以使用滞留公式来估计排水泵容量的下降率X,但理论上的下降率将成为X'(=√2 X)。滞留系数α与X在水力上的意义不同,并且在理论过程中还存在几个问题。ii)对1/200和1/ 1000的下水道坡度进行了实验。应用合理的方法,径流量达到最大值的速度比实际更快。因此,污水段的设计是在安全方面。在陡坡沟渠中,如果选择适当的粗糙度,所得的水文曲线与实际情况吻合较好。但在坡度较缓的地形上,其水文曲线差异较大,在粗糙度的实际范围内很难进行校正。这一事实归因于所谓的自然滞留,并表明曼宁公式即理性方法的运动方程在缓坡中不再成立。如果实验用滞留系数α项来评价这种滞留,则α在1/1 000的斜率上变为1.30,但在1/200的斜率上是统一的。因此,α应理解为用合理方法得到的线线与实际线线之差的修正系数。iii)任何控制结构对动态库容的负面影响,除考虑下游洪水或设计降低排水泵容量的情况外。iv)采用蓄水函数法时,陡坡的计算线线与实际线线一致。在缓坡地区,水文曲线也不太适于拟合。这种方法在理论上是有局限性的,而且储水系数的确定是相当困难的。5)洪水并不总是随着回归期的增加而发生,因为用合理的方法计算最大径流量时,径流量已趋于稳定。相反,任何考虑滞洪的设计方法计算时,最大径流量并不一定处于稳定状态,洪水必然是随着回归期的增加而发生的。应根据较强降雨造成洪水的可能性来确定恢复周期,以尽量减少成本和损失的总和。
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