|
|
|
| Mathematical model for urban flooding with effect of drainage of street inlets |
Shuai-ling GAO1( ),Jun-qiang XIA1,*(),Bo-liang DONG1,Mei-rong ZHOU1,Jing-ming HOU2 |
1. State Key Laboratory of Water Resource and Hydropower Engineering Sciences, Wuhan University, Wuhan 430072, China
2. State Key Laboratory of Eco-Hydraulics in Northwest Arid Region, Xi’an University of Technology, Xi’an 710048, China |
|
|
|
Abstract A two-dimensional hydrodynamic model including the discharge calculation module of street inlets was established, in order to study the effect of drainage of street inlets on urban flooding. The model was calibrated and verified by the flume test data with typical block structure. The Nash-Sutcliffe efficiency coefficient of most gauging points (over 85% of the points) was above 0.77. The model was applied to an urban street block in Glasgow, UK, and the maximum difference of the total drainage volume of street inlets calculated by the integrated velocity formula and the orifice-weir flow formula account for 26.5% of the total water volume. The former, considering the limiting effect of the side branch pipe on the discharge capacity of street inlets, is more in line with the actual situation. Compared with the case without street inlets draining, the calculation results which applied the integrated velocity formula show that the maximum water depth on the main road and the maximum submergence range is reduced by 0.395 m and 29.4% respectively, and the arrival time of the flood wave at the maximum water depth is delayed by 100 s.
|
|
Received: 29 March 2021
Published: 29 March 2022
|
|
|
| Fund: 国家自然科学基金资助项目(41890823)；牛顿高级学者基金资助项目(NSFC52061130219+NAF\R11156) |
|
Corresponding Authors:
Jun-qiang XIA
E-mail: gaoshuailing@whu.edu.cn;xiajq@whu.edu.cn
|
雨水口泄流对城市洪涝影响的数学模型
为了研究雨水口泄流对城市洪涝的影响，建立包含雨水口泄流计算模块的平面二维水动力学模型. 采用典型街区结构的水槽试验数据对模型进行率定和验证，超过85%的测点纳什效率系数大于0.77. 将模型应用到英国Glasgow的城市街区，采用综合流速公式和孔流堰流公式计算的排水总量最大差值占总水量的26.5%，前者考虑侧支管对雨水口泄流能力的限制作用，更符合实际情况. 与不考虑雨水口泄流相比，采用综合流速公式计算雨水口泄流后，最大淹没范围减少29.4 %，主干道上最大积水水深减小0.395 m，最大积水水深处的洪水波到达时间延后100 s.
关键词：
城市洪涝,
数值模拟,
水动力学模型,
雨水口,
泄流公式
|
|
| [1] |
CRED. EM-DAT [DB/OL]. [2021-02-19]. https://public.emdat.be/data.
|
|
|
| [2] |
赵江, 张林洪, 吴培关, 等 公路雨水口篦子泄水量试验研究[J]. 城市道桥与防洪, 2004, (4): 67- 70
ZHAO Jiang, ZHANG Lin-hong, WU Pei-guan, et al Study on test of sluice capacity of double-edged fine-toothed comb at rainfall inlet at highway[J]. Urban Roads Bridges and Flood Control, 2004, (4): 67- 70
doi: 10.3969/j.issn.1009-7716.2004.04.018
|
|
|
| [3] |
陈倩, 夏军强, 董柏良 城市洪涝中雨水口泄流能力的试验研究[J]. 水科学进展, 2020, 31 (1): 10- 17
CHEN Qian, XIA Jun-qiang, DONG Bo-liang Experimental study on discharge capacity of street inlet in urban flooding[J]. Advances in Water Science, 2020, 31 (1): 10- 17
|
|
|
| [4] |
PALLA A, COLLI M, CANDELA A, et al Pluvial flooding in urban areas: the role of surface drainage efficiency[J]. Journal of Flood Risk Management, 2018, 11: S663- S676
doi: 10.1111/jfr3.12246
|
|
|
| [5] |
胡伟贤, 何文华, 黄国如, 等 城市雨洪模拟技术研究进展[J]. 水科学进展, 2010, 21 (1): 137- 144
HU Wei-xian, HE Wen-hua, HUANG Guo-ru, et al Review of urban storm water simulation techniques[J]. Advances in Water Science, 2010, 21 (1): 137- 144
|
|
|
| [6] |
夏军强, 王光谦, 谈广鸣 复杂边界及实际地形上溃坝洪水流动过程模拟[J]. 水科学进展, 2010, 21 (3): 289- 298
XIA Jun-qiang, WANG Guang-qian, TAN Guang-ming Two-dimensional modeling of dam-break floods over actual terrain with complex geometries using a finite volume method[J]. Advances in Water Science, 2010, 21 (3): 289- 298
|
|
|
| [7] |
刘璐, 孙健, 袁冰, 等 城市暴雨地表积水过程研究: 以清华大学校园为例[J]. 水力发电学报, 2019, 38 (8): 98- 109
LIU Lu, SUN Jian, YUAN Bing, et al Surface flooding in urban areas under heavy downpours: case study of Tsinghua University campus[J]. Journal of Hydroelectric Engineering, 2019, 38 (8): 98- 109
doi: 10.11660/slfdxb.20190809
|
|
|
| [8] |
LIANG D F, LIN B L, FALCONER R A Simulation of rapidly varying flow using an efficient TVD-MacCormack scheme[J]. International Journal for Numerical Methods in Fluids, 2007, 53 (5): 811- 826
doi: 10.1002/fld.1305
|
|
|
| [9] |
NOH S J, LEE S, AN H, et al Ensemble urban flood simulation in comparison with laboratory-scale experiments: impact of interaction models for manhole, sewer pipe, and surface flow[J]. Advances in Water Resources, 2016, 97: 25- 37
doi: 10.1016/j.advwatres.2016.08.015
|
|
|
| [10] |
胡维芬. 城市道路排水设施水力特性研究[D]. 天津: 天津大学, 2009: 12-25.
HU Wei-fen. Research on the hydraulic characteristics of drainage facilities of the urban road [D]. Tianjin: Tianjin University, 2009: 12-25.
|
|
|
| [11] |
安智敏, 岑国平, 吴彰春 雨水口泄水量的试验研究[J]. 中国给水排水, 1995, 11 (1): 21- 24
AN Zhi-min, CEN Guo-ping, WU Zhang-chun Experimental study on the capacity of storm inlets[J]. China Water and Wastewater, 1995, 11 (1): 21- 24
|
|
|
| [12] |
姚飞骏 雨水口的流量计算方法探讨[J]. 中国给水排水, 2013, 29 (14): 45- 48
YAO Fei-jun Discussion on calculation method of flow rate at rainwater inlet[J]. China Water and Wastewater, 2013, 29 (14): 45- 48
doi: 10.3969/j.issn.1000-4602.2013.14.012
|
|
|
| [13] |
GóMEZ M, RUSSO B Methodology to estimate hydraulic efficiency of drain inlets[J]. Proceedings of the Institution of Civil Engineers-Water Management, 2011, 164 (2): 81- 90
doi: 10.1680/wama.900070
|
|
|
| [14] |
北京市市政工程设计研究总院有限公司. 雨水口(16S518): GJBT—1404[S]. 北京: 中国计划出版社, 2016: 66.
|
|
|
| [15] |
HUNTER N M, BATES P D, NEELZ S, et al Benchmarking 2D hydraulic models for urban flooding[J]. Proceedings of the Institution of Civil Engineers: Water Management, 2008, 161 (1): 13- 30
doi: 10.1680/wama.2008.161.1.13
|
|
|
| [16] |
谭维炎. 计算浅水动力学—有限体积法[M]. 北京: 清华大学出版社, 1998: 107.
|
|
|
| [17] |
HARTEN A High resolution scheme for hyperbolic conservation laws[J]. Journal of Computational Physics, 1983, 49 (3): 357- 393
doi: 10.1016/0021-9991(83)90136-5
|
|
|
| [18] |
DONG B L, XIA J Q, ZHOU M R, et al Experimental and numerical model studies on flash flood inundation processes over a typical urban street[J]. Advances in Water Resources, 2021, 147: 103824
doi: 10.1016/j.advwatres.2020.103824
|
|
|
| [19] |
LIANG D F, FALCONER R A, LIN B L Coupling surface and subsurface flows in a depth averaged flood wave model[J]. Journal of Hydrology, 2007, 337 (1/2): 147- 158
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
| |
Shared |
|
|
|
|
| |
Discussed |
|
|
|
|
