雄安新区长历时暴雨强度公式及其设计雨型推求

doi:10.3969/j.issn.1673-503X.2021.05.012

Abstract

Abstract:

Design rainstorm research is an important foundation for urban drainage and waterlogging prevention engineering construction. The temporal variation characteristics of the number of precipitation and rainstorm days were analyzed based on the precipitation data of meteorological stations in Xiong'an New District from 1981 to 2020. Taking Xiong county as an example, using its minute-level rainfall data, through the annual maximum value method, the theoretical frequency analysis of rainfall data was carried out using P-III curve in order to consider the fitting goodness of long and short duration rainfall data. The parameters of formula were solved by Gauss-Newton method and the long-duration comprehensive storm intensity formula that suitable for 5-1440 min was obtained. On this basis, the design hyetograph for 1440 min in Xiong county was deduced using homogenous frequency analysis method. The results show that multi-year averaged rainfall in Xiong'an New District is 490.4 mm; the number of storm days is 4.4 d; the number of storm days shows an increasing trend from 2000 to 2020, especially for the number of torrential rain days. In recent 10 years, the proportion of the number of torrential rain days to storm days was the largest (20.8%) in the new district, which was nearly 7 times larger than that at the beginning of the 21st century. The obtained long-duration comprehensive storm intensity formula of Xiong county could be used to calculate the design storm of whatever duration (5-1440 min) and whatever recurrence period (2-100 years). The 1440 min' design hyetograph with an interval of 5 min in Xiong county shows a single peak with the peak value is 0.806. Combined the design hyetograph with the obtained long-duration comprehensive storm intensity formula, the designed rain patttern of 1440 min under different specified recurrence period could be deduced.

Key words: Long-duration storm intensity formula, Designed rainstorm pattern, P-III distribution, Homogenous frequency analysis method, Xiong'an New District

CLC Number:

P463.3

Chang-wen YU,Qi-hui XU,Yi-chang YANG,Gui-dong MA,Xu-xu GAO. Intensity formula and design hyetograph for long-duration storm in Xiong'an New District[J]. Journal of Meteorology and Environment, 2021, 37(5): 78-85.

Figures/Tables 10

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References 33

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历时/min	C_V	C_S	C_S/C_V	平均值/mm	平均绝对均方误差/(mm/min)	平均相对均方误差/(%)
5	0.26	0.90	3.5	10.09	0.132	12.184
10	0.26	0.91	3.5	16.84	0.081	9.994
15	0.29	1.03	3.5	22.47	0.076	9.902
20	0.32	1.12	3.5	26.97	0.069	10.141
30	0.38	1.34	3.5	33.50	0.069	12.960
45	0.41	1.42	3.5	39.45	0.063	14.560
60	0.42	1.46	3.5	43.21	0.054	14.372
90	0.43	1.51	3.5	49.02	0.046	9.293
120	0.41	1.45	3.5	53.70	0.037	5.665
150	0.41	1.45	3.5	56.62	0.034	4.951
180	0.41	1.44	3.5	58.81	0.032	5.301
240	0.40	1.40	3.5	62.26	0.022	5.896
360	0.37	1.31	3.5	67.72	0.013	4.322
720	0.37	1.31	3.5	73.98	0.009	5.122
1440	0.36	1.26	3.5	81.39	0.004	5.018

历时/min	重现期/a
历时/min	2	3	5	10	20	30	50	100
5	1.941	2.177	2.420	2.718	2.989	3.144	3.324	3.564
10	1.618	1.816	2.021	2.272	2.502	2.632	2.784	2.987
15	1.424	1.622	1.830	2.088	2.326	2.462	2.622	2.836
20	1.269	1.464	1.670	1.929	2.170	2.309	2.472	2.692
30	1.025	1.213	1.420	1.685	1.936	2.082	2.255	2.490
45	0.795	0.954	1.129	1.356	1.572	1.699	1.849	2.053
60	0.649	0.783	0.932	1.127	1.313	1.422	1.551	1.728
90	0.488	0.591	0.707	0.859	1.005	1.091	1.193	1.332
120	0.405	0.486	0.577	0.694	0.807	0.873	0.951	1.057
150	0.341	0.410	0.486	0.586	0.681	0.736	0.802	0.892
180	0.296	0.355	0.421	0.506	0.588	0.635	0.692	0.769
240	0.236	0.282	0.332	0.396	0.458	0.494	0.537	0.595
360	0.173	0.205	0.239	0.282	0.324	0.348	0.376	0.415
720	0.095	0.112	0.130	0.154	0.177	0.190	0.206	0.227
1440	0.052	0.061	0.071	0.084	0.096	0.102	0.110	0.121

历时/min	重现期2—100 a区间		重现期2—20 a区间
历时/min	绝对误差/(mm/min)	相对误差/(%)	绝对误差/(mm/min)	相对误差/(%)
5	0.171	7.162	0.189	8.556
10	0.180	6.696	0.080	4.143
15	0.089	3.791	0.053	3.144
20	0.046	2.526	0.051	3.012
30	0.111	5.496	0.079	4.734
45	0.095	6.090	0.062	5.422
60	0.075	6.592	0.053	6.735
90	0.061	7.432	0.045	7.857
120	0.037	5.948	0.030	6.527
150	0.031	5.943	0.025	6.531
180	0.026	5.801	0.021	6.467
240	0.015	4.812	0.015	5.729
360	0.007	3.147	0.007	3.745
720	0.005	3.270	0.004	3.473
1440	0.004	4.160	0.003	4.031
平均值	0.064	5.258	0.048	5.340

站号	站名	开始时间/(日期/时间)	历时/min	降雨总量/mm	最大1h降雨量/mm
54636	雄县	1991-07-27/04:51	2636	264.95	22.45
54636	雄县	1977-08-02/06:04	1178	203.11	33.31
54636	雄县	2016-07-19/08:08	1985	180.00	28.90
54636	雄县	2007-07-30/09:56	2645	156.32	82.98
54636	雄县	1994-07-10/22:03	3935	154.54	23.57
54636	雄县	1996-08-02/03:05	5877	121.62	23.23
54636	雄县	1994-08-12/13:18	1474	120.57	21.79
54636	雄县	1989-07-16/19:11	1375	111.82	23.91
54636	雄县	2005-07-15/02:57	2507	94.04	43.31
54636	雄县	1978-07-22/00:49	3176	88.63	40.07
54636	雄县	1984-08-22/00:39	1118	81.43	60.22
54636	雄县	2000-08-11/06:45	2420	75.25	44.36

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Intensity formula and design hyetograph for long-duration storm in Xiong'an New District

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