基于洪峰模数的山洪灾害雨量预警指标研究
作者简介:李青(1982-),女,山西静乐人,硕士,工程师,主要从事山洪灾害预警技术方面研究。E-mail: liqing@iwhr.com
收稿日期: 2017-07-12
要求修回日期: 2017-08-25
网络出版日期: 2017-12-25
基金资助
云南省山洪灾害防治预警指标和阈值分析方法研究(JZ02032A032015)
全国山洪灾害防治项目(126301001000 150068)
Rainfall Threshold for Flash Flood Early Warning Based on Flood Peak Modulus
Received date: 2017-07-12
Request revised date: 2017-08-25
Online published: 2017-12-25
Copyright
山洪灾害预警是防御山洪的重要非工程措施,雨量预警指标是山洪灾害预警的关键。目前的雨量预警指标计算方法对水文气象资料条件以及模型建模率定都有很高的要求,并不适用于基层防汛人员。因此,本文基于全国山洪灾害调查评价成果数据,提出了一种运用洪峰模数计算雨量预警指标的简便、易用的方法。该方法以小流域洪水计算推理公式为基础,将公式中流量与流域面积的比值用洪峰模数表示,得到基于洪峰模数的临界雨量估算公式,并考虑流域土壤含水量等因素,分析临界雨量变化阈值,最终得到雨量预警指标。本文以云南省绥江县双河小流域为例,计算结果显示不同时段(1 h、3 h、6 h)净雨量和预警时段呈线性关系。降雨损失计算中洼地蓄水和植被截留在不同时段相同,土壤下渗在不同的时段不相同。在此基础上,计算不同土壤含水量条件下,不同时段的雨量预警指标。最后,对临界流量、降雨损失和预警指标进行了合理性分析,结果显示预警指标和调查评价结果及实测降雨都比较接近,计算的预警指标合理。本研究为基层山洪灾害预警提供了一种快速、便捷的预警指标计算方法,为预警指标计算提供技术支持。
李青 , 王雅莉 , 李海辰 , 张淼 , 李昌志 , 陈星 . 基于洪峰模数的山洪灾害雨量预警指标研究[J]. 地球信息科学学报, 2017 , 19(12) : 1643 -1652 . DOI: 10.3724/SP.J.1047.2017.01643
Flash flood early warning is an important non-structural measure for flash flood prevention in China. Also, rainfall threshold is the key for flash flood early warning. At present, the method of calculating rainfall thresholds need a large amount of meteorological and hydrological data. Meanwhile, building the hydrological model and calibrating parameters are difficult, which are not suitable for the flood control personnel. A simple and easy method, using flood peak modulus to calculate rainfall threshold, was proposed in this study based on national flash flood investigation and evaluation results. Rational equation is the basis of the calculation method. The flood peak modulus in rational equation is expressed as a ratio of the flow to watershed area. Then, the critical rainfall formula is obtained. Using the Manning formula and national investigation and evaluation results, the flood peak modulus on the condition of critical flow is obtained, and the net rainfall is calculated. Based on the research results of the scholars, three aspects about the rainfall loss calculation are considered. They are depression storage, vegetation interception and soil infiltration. The sum of the net rainfall and the rainfall loss is the critical rainfall. Considering the factors such as soil water content of watershed, the rainfall threshold was finally obtained. In order to demonstrate this method, Shuanghe catchment in Suijiang County of Yunnan Province was chosen as the study area, of which the area is 89.12 km2. The calculated concentration time was 5.2 h. Thus, the duration was estimated to be 1 h, 3 h, and 6 h. The results indicated there was a linear correlation between the net rain amount and different rainfall durations. Depression storage and canopy interception was invariant during different rainfall durations, but the infiltration was variable. For 1 h duration, initial infiltration was the main factor to consider; for 3 h, both initial infiltration and mid-term infiltration were considered; and for 6 h, steady infiltration also needed consideration besides the initial and medium-term infiltration. The calculated critical rainfall for 1 h, 3 h, and 6 h were 38.6 mm, 64.8 mm, and 96.9 mm, respectively. Rainfall thresholds of different durations for flash flood early warning were estimated on basis of critical rainfall considering three different soil moisture conditions. Under dry soil moisture condition, large rainfall loss leads to a large rainfall threshold; under wet soil moisture condition, contrary to the dry condition, small rainfall threshold is caused by small rainfall loss; and under medium soil moisture condition, the rainfall threshold was in medium. The rationality analysis on critical runoff, rainfall losses, and rainfall threshold was carried out in the end of this study. The results showed the calculated rainfall threshold by flood peak modulus method was approximated to the rainfall threshold obtained from national flash flood investigation and evaluation project. Also, they are in accord with the observed rainfall during flash flood events. Thus, the calculated results are reasonable in this study. This study provided a quick and convenient way of calculating rainfall threshold of flash flood warning for the grass root staffs and offered technical support for estimating rainfall threshold correctly.
Fig. 1 The study area图1 研究区图 |
Tab. 1 Estimation of depression storage ‰表1 洼地蓄水估算方法[16] |
洼地描述 | 蓄水量/mm | 备注 |
---|---|---|
非常不平的地面 | 15 | 当山坡坡度在100‰以下时,可采用上述数值;当山坡坡度在100~300‰之间,上述截流水量应减少30%;当山坡坡度>300‰时,上述截流水量应减少50% |
一般的地面、铺砌面 | 10 | |
极平坦的地面、沥青面 | 3 |
Tab. 2 Soil types and infiltration rates表2 土壤类型与下渗率[19] |
土壤类型 | 描述 | 损失率范围/(mm/h) | |
---|---|---|---|
沙土 | A | 较厚的沙地、黄土以及聚合的泥沙 | 7.62~11.43 |
沙壤土 | B | 较浅的砂质黄土、砂壤土、壤土 | 3.81~7.62 |
壤土、粘土 | C | 粘质壤土、浅砂质壤土、低有机物含量的土壤、高粘土含量的土壤 | 1.27~3.81 |
湿土、盐碱土 | D | 因湿润、高塑性粘土含量、或高含盐量而明显膨胀的土壤 | 0~1.27 |
Tab. 3 Designed storm results of Shuanghe watershed表3 双河片区流域设计暴雨成果 |
村落 名称 | 历时/min | 重现期雨量值(Hp) | ||||
---|---|---|---|---|---|---|
100年(H1%) | 50年(H2%) | 20年(H5%) | 10年(H10%) | 5年(H20%) | ||
双河村双1组 | 10 | 29.6 | 27.0 | 23.3 | 20.5 | 17.4 |
60 | 90.9 | 81.6 | 69.1 | 59.3 | 49.1 | |
360 | 160.7 | 142.4 | 118.1 | 99.3 | 80.0 | |
180 | 128.6 | 114.6 | 95.8 | 81.2 | 66.1 |
Tab. 4 Rainstorm distribution of Shuanghe watershed表4 双河片区流域设计暴雨时程分配 |
时段序号 | 5年一遇重现期雨量值 | ||
---|---|---|---|
1 h | 3 h | 6 h | |
1 | 34.3 | 49.4 | 47.0 |
2 | 41.9 | 59.5 | 61.9 |
3 | 45.6 | 66.1 | 68.2 |
4 | 49.1 | - | 72.8 |
5 | - | - | 76.7 |
6 | - | - | 80.0 |
Fig. 2 Measured section of Shuanghe图2 双河1组实测控制断面图 |
Fig. 3 River landscape of Shuanghe图3 双河1组河段景观图 |
Fig. 4 The basic data of Shuanghe watershed图4 双河片区小流域基础数据 |
Fig. 5 Generalization of control section图5 板栗乡双河村双河1组控制断面概化 |
Tab. 5 Generalized parameters of control section表5 板栗乡双河村双河1组控制断面概化参数表 |
过水面积A | 湿周L | ||||||||
---|---|---|---|---|---|---|---|---|---|
A1 | A2 | A | L1 | L2 | L3 | L4 | L5 | L | |
25 | 19.6 | 44.6 | 8.06 | 2.24 | 6.14 | 6.14 | 8 | 30.6 |
Tab. 6 The parameters and results of critical flow calculation表6 双河1组临界流量计算参数及成果 |
成灾 水位/m | 过流 面积/m2 | 湿周/m | 水力 半径/m | 糙率 | 比降/‰ | 流速/(m/s) | 流量/ (m3/s) |
---|---|---|---|---|---|---|---|
376.43 | 44.6 | 31 | 1.44 | 0.045 | 25.35 | 4.51 | 201 |
Tab. 7 The parameters and results of confluence time表7 双河1组汇流时间计算参数及成果 |
小流域 | Qm/(m3/s) | L/km | θ | m | J/‰ | τ/h |
---|---|---|---|---|---|---|
双河片区1组 | 201 | 24.09 | 80 | 1.18 | 25.35 | 5.2 |
Tab. 8 The results of net rainfall表8 双河1组净雨计算结果 |
时间/h | Qm/(m3/s) | F/km2 | M/(m3/s·km2) | 净雨值/mm |
---|---|---|---|---|
1 | 201 | 89.12 | 2.26 | 8.1 |
3 | 201 | 89.12 | 2.26 | 24.3 |
6 | 201 | 89.12 | 2.26 | 48.6 |
Tab. 9 Estimation results of rainfall losses表9 双河1组降雨损失估算结果(mm) |
时间/h | 洼地 蓄水 | 植被 截留 | 土壤 下渗 | 损失量 | 备注 |
---|---|---|---|---|---|
1 | 8 | 15 | 7.5 | 30.5 | 初期土壤下渗7.5 mm/h |
3 | 8 | 15 | 17.5 | 40.5 | 中间土壤下渗5 mm/h |
6 | 8 | 15 | 25.0 | 48.0 | 稳渗2.5 mm/h |
Fig. 6 Critical rainfall of Shuanghe图6 板栗乡双河村双河1组临界雨量 |
Tab. 1 0 The calculation results of critical rainfall表1 0 双河1组临界雨量计算结果(mm) |
时间/h | 净雨值 | 损失量 | 临界雨量 |
---|---|---|---|
1 | 8.1 | 30.5 | 38.6 |
3 | 24.3 | 40.5 | 64.8 |
6 | 48.6 | 48 | 96.6 |
Tab. 1 1 Calculation results of rainfall early warning index表1 1 双河1组预警指标计算结果(mm) |
时间/h | 情景 | 洼地蓄水 | 植被截留 | 土壤下渗 | 损失量 | 净雨量 | 临界雨量 | 预警指标 | 备注 |
---|---|---|---|---|---|---|---|---|---|
1 | 较干 | 8 | 15 | 7.5 | 30.5 | 8.1 | 38.6 | 40 | 初期土壤下渗7.5 mm/h |
一般 | 7 | 14 | 5.0 | 26.0 | 8.1 | 34.1 | 35 | 中间土壤下渗5 mm/h | |
较湿 | 6 | 12 | 2.5 | 20.5 | 8.1 | 28.6 | 30 | 稳渗2.5 mm/h | |
3 | 较干 | 8 | 15 | 17.5 | 40.5 | 24.3 | 64.8 | 65 | 初期土壤下渗7.5 mm/h |
一般 | 7 | 14 | 15.0 | 36.0 | 24.3 | 60.3 | 60 | 中间土壤下渗5 mm/h | |
较湿 | 6 | 12 | 7.5 | 25.5 | 24.3 | 49.8 | 50 | 稳渗2.5 mm/h | |
6 | 较干 | 8 | 15 | 25.0 | 48.0 | 48.6 | 96.6 | 95 | 初期土壤下渗7.5 mm/h |
一般 | 7 | 14 | 22.5 | 43.5 | 48.6 | 92.1 | 90 | 中间土壤下渗5 mm/h | |
较湿 | 6 | 12 | 15.0 | 33.0 | 48.6 | 81.6 | 80 | 稳渗2.5 mm/h |
Tab. 3 Designed storm results of Shuanghe watershed表3 双河片区流域设计暴雨成果 |
村落 名称 | 历时/min | 重现期雨量值(Hp) | ||||
---|---|---|---|---|---|---|
100年(H1%) | 50年(H2%) | 20年(H5%) | 10年(H10%) | 5年(H20%) | ||
双河村双1组 | 10 | 29.6 | 27.0 | 23.3 | 20.5 | 17.4 |
60 | 90.9 | 81.6 | 69.1 | 59.3 | 49.1 | |
360 | 160.7 | 142.4 | 118.1 | 99.3 | 80.0 | |
180 | 128.6 | 114.6 | 95.8 | 81.2 | 66.1 |
Tab. 4 Rainstorm distribution of Shuanghe watershed表4 双河片区流域设计暴雨时程分配 |
时段序号 | 5年一遇重现期雨量值 | ||
---|---|---|---|
1 h | 3 h | 6 h | |
1 | 34.3 | 49.4 | 47.0 |
2 | 41.9 | 59.5 | 61.9 |
3 | 45.6 | 66.1 | 68.2 |
4 | 49.1 | - | 72.8 |
5 | - | - | 76.7 |
6 | - | - | 80.0 |
Tab.1 2 Designed storm runoff in 5-year return period of one hour表1 2 双河片区小流域1 h五年一遇设计暴雨产流计算成果表 |
降雨时段/h | 合计/h | ||||
---|---|---|---|---|---|
1 | 2 | 3 | 4 | ||
面雨量/mm | 3.7 | 7.6 | 34.3 | 3.5 | 49.1 |
扣除W0/mm | 30.6 | ||||
扣除fc/mm | |||||
净雨/mm | 30.6 | 3.5 | 34.1 |
Tab. 1 3 Designed storm runoff in 5-year return period of three hours表1 3 双河片区小流域3 h五年一遇设计暴雨产流计算成果表 |
降雨时段/h | 合计/h | |||
---|---|---|---|---|
1 | 2 | 3 | ||
面雨量/mm | 10.1 | 49.4 | 6.6 | 66.1 |
扣除W0/mm | 44.5 | |||
扣除fc/mm | 42.3 | 4.4 | ||
净雨/mm | 42.3 | 4.4 | 46.7 |
Tab.1 4 Designed storm runoff in 5-year return period of six hours表1 4 双河片区小流域6 h五年一遇设计暴雨产流计算成果表 |
降雨时段/h | 合计/h | ||||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | ||
面雨量/mm | 4.6 | 6.3 | 14.9 | 47 | 3.9 | 3.3 | 80 |
扣除W0/mm | 10.8 | ||||||
扣除fc/mm | 8.6 | 44.8 | 1.7 | 1.1 | |||
净雨/mm | 6.6 | 44.8 | 1.7 | 1.1 | 56.2 |
Tab.1 5 Rationality analysis of rainfall early warning index表1 5 双河片区流域预警指标合理性分析计算结果 |
时段/h | Qm/(m3/s) | F/km2 | h/mm | L/mm | 预警指标/mm |
---|---|---|---|---|---|
1 | 204 | 89.12 | 8.3 | 15.0 | 23 |
3 | 204 | 89.12 | 25 | 19.4 | 45 |
6 | 204 | 89.12 | 50 | 23.8 | 74 |
The authors have declared that no competing interests exist.
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