CN115391712A - Urban flood risk prediction method - Google Patents
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Abstract
本发明公开了一种城市洪涝风险预测方法,包括以下步骤:基于待预测城市的历史雷达回波图,通过GIS对雷达回波图进行预处理及重分类计算,构建待预测城市的降雨量预测模型;构建基于SWMM的待预测城市的洪涝风险预测模型;将降雨量预测模型洪涝风险模型耦合得到洪涝风险预测模型;将降雨量预测模型输出的降雨量预测值经预处理后作为洪涝风险模型的降雨量输入值;将待预测城市的实时雷达回波图输入到洪涝风险预测模型,得到待预测城市的洪涝风险分析结果。本发明预测识别速度快,结果精准度高,通过洪涝风险预测模型能够预测出降雨的主要落区的位置,对主要降雨段的雨量估算精度较高,并依据雨量来分析洪涝风险。The invention discloses a method for predicting urban flood risk, comprising the following steps: based on the historical radar echo map of the city to be predicted, the radar echo map is preprocessed and reclassified and calculated by GIS, and the rainfall forecast of the city to be predicted is constructed model; build a SWMM-based flood risk prediction model for the city to be predicted; couple the rainfall prediction model flood risk model to obtain a flood risk prediction model; preprocess the rainfall prediction value output by the rainfall prediction model as the flood risk model The input value of rainfall; input the real-time radar echo map of the city to be predicted into the flood risk prediction model to obtain the analysis result of the flood risk of the city to be predicted. The invention has fast prediction and identification speed and high accuracy of results. The position of the main rainfall area can be predicted through the flood risk prediction model, the rainfall estimation accuracy of the main rainfall section is high, and the flood risk is analyzed according to the rainfall.
Description
技术领域technical field
本发明涉及水利工程技术领域,尤其涉及一种城市洪涝风险预测方法。The invention relates to the technical field of water conservancy engineering, in particular to a method for predicting urban flood risk.
背景技术Background technique
城市化的飞速发展使得城市下垫面不透水面积显著增加,局地突发性暴雨常常引发城市内发生严重的洪涝灾害,威胁人民的生命安全,且带来巨大的财产损失,同时也制约了城市的发展。现阶段内涝预警发布存在预警精度不高、预见期短、机制不健全等问题,直接制约内涝预警的精准性和时效性。因此,开展城市洪涝风险快速识别关键技术研究有利于构建一套综合调度指标(涵盖预测雨量、预测流量、实测雨量、实测流量)和调度原则,提升城市水系科学调度水平。The rapid development of urbanization has significantly increased the impermeable area of the underlying surface of the city. Local sudden rainstorms often lead to serious floods in the city, threatening people's lives and causing huge property losses. city development. At this stage, there are problems such as low warning accuracy, short forecast period, and unsound mechanism in the release of waterlogging early warnings, which directly restrict the accuracy and timeliness of waterlogging early warnings. Therefore, carrying out research on key technologies for rapid urban flood risk identification is conducive to building a set of comprehensive dispatching indicators (covering forecasted rainfall, predicted flow, measured rainfall, and measured flow) and dispatching principles to improve the scientific dispatching level of urban water systems.
发明内容Contents of the invention
发明目的:本发明旨在提供一种识别快速、结果精准的城市洪涝风险预测方法。Purpose of the invention: The present invention aims to provide a rapid and accurate urban flood risk prediction method.
技术方案:本发明的一种城市洪涝风险预测方法,包括以下步骤:Technical solution: A method for predicting urban flood risk of the present invention comprises the following steps:
(1)基于待预测城市的历史雷达回波图,通过GIS对雷达回波图进行预处理及重分类计算,构建待预测城市的降雨量预测模型;(1) Based on the historical radar echo map of the city to be predicted, the radar echo map is preprocessed and reclassified by GIS, and the rainfall prediction model of the city to be predicted is constructed;
(2)收集待预测城市的基础数据,并对收集的基础数据进行预处理;(2) Collect the basic data of the city to be predicted, and preprocess the collected basic data;
(3)根据步骤(2)中预处理后的基础数据,构建基于SWMM的待预测城市的洪涝风险预测模型;对城市的节点管网进行概化并对子汇水区进行划分与数据计算,构建流域产流模型与管网汇流模型,并通过ArcGIS软件简化当地河道数据,将简化的河道数据导入SWMM中,进行节点管网逻辑、拓扑关系之间的检查与校核,构建河道汇流子模型;提取洼地和溢流点,并计算每一个洼地对应的子汇水区面积;通过最短路径提取工具提取得到连通洼地各溢流点间的汇流路径;洼地汇流路径概化为管渠,将提取出来的洼地子汇水区概化为地表汇水区域,从而构建得到地表洼地汇流模型;将河道汇流子模型与地表洼地汇流模型耦合得到待预测城市的洪涝风险模型;(3) According to the preprocessed basic data in step (2), build a SWMM-based flood risk prediction model for the city to be predicted; generalize the node pipe network of the city and divide and calculate the sub-catchments, Construct the basin runoff model and the pipe network confluence model, and use ArcGIS software to simplify the local river data, import the simplified river data into SWMM, check and check the node pipe network logic and topological relationship, and build the river confluence sub-model ; Extract depressions and overflow points, and calculate the sub-catchment area corresponding to each depression; use the shortest path extraction tool to extract the confluence path between the overflow points of the connected depression; The obtained depression sub-catchment area is generalized into the surface water catchment area, thereby constructing the surface depression confluence model; coupling the river channel confluence sub-model with the surface depression confluence model to obtain the flood risk model of the city to be predicted;
(4)将降雨量预测模型洪涝风险模型耦合得到洪涝风险预测模型;步骤 (1)中得到的降雨量预测模型输出的降雨量预测值经预处理后作为步骤(3) 中的洪涝风险模型的降雨量输入值;(4) Coupling the flood risk model of the rainfall forecast model to obtain the flood risk forecast model; the rainfall forecast value output by the rainfall forecast model obtained in step (1) is preprocessed as the flood risk model in step (3) Rainfall input value;
(5)将待预测城市的实时雷达回波图输入到洪涝风险预测模型,得到待预测城市的洪涝风险分析结果。(5) Input the real-time radar echo map of the city to be predicted into the flood risk prediction model to obtain the analysis results of the flood risk of the city to be predicted.
进一步地,步骤(1)中,构建待预测城市的降雨量预测模型的方法为:基于多场次降雨的历史雷达回波图,通过GIS对雷达回波图进行预处理及重分类计算,将其分为高反射率区、中反射率区和低反射率区域;提取各云层类型的特征值以及降雨类型的识别规律;根据雷达回波图各反射率的光谱特征,构建降雨类型识别指标体系。Further, in step (1), the method of constructing the rainfall prediction model of the city to be predicted is as follows: based on the historical radar echo images of multiple rainfall events, the radar echo images are preprocessed and reclassified by GIS, and their It is divided into high reflectance area, medium reflectance area and low reflectance area; the characteristic value of each cloud type and the identification law of rainfall type are extracted; according to the spectral characteristics of each reflectance in the radar echo map, the rainfall type identification index system is constructed.
其中,高反射率区范围为35-70dBZ,中反射率区为25-35dBZ,低反射率区域为0-25dBZ;构建的降雨类型识别指标体系如下:Among them, the range of high reflectivity area is 35-70dBZ, the medium reflectivity area is 25-35dBZ, and the low reflectivity area is 0-25dBZ; the constructed rainfall type identification index system is as follows:
(1)(高反射率区面积+中反射率区面积)/回波图总面积≤0.1,层状云降雨;(1) (area of high reflectivity area + area of medium reflectivity area)/total area of echo map ≤ 0.1, stratiform cloud rainfall;
(2)(高反射率区面积+中反射率区面积)/回波图总面积≥0.3,对流云降雨;(2) (area of high reflectance area + area of medium reflectance area)/total area of echo map ≥ 0.3, convective cloud rainfall;
(3)0.1<(高反射率区面积+中反射率区面积)/回波图总面积<0.3且亮度梯度<0.15,以层状云为主的混合云降雨;(3) 0.1<(high albedo area + medium albedo area)/total echo map area<0.3 and brightness gradient<0.15, mixed cloud rainfall dominated by stratiform clouds;
(4)0.1<(高反射率区面积+中反射率区面积)/回波图总面积<0.3且亮度梯度≥0.15,以对流云为主的混合云降雨。(4) 0.1<(high albedo area + medium albedo area)/total echo map area<0.3 and brightness gradient ≥0.15, mixed cloud rainfall dominated by convective clouds.
步骤(1)中还包括进行降雨的预报、反演及精度分析,通过雷达回波图总结出采用金字塔光流法进行云的运动矢量计算;最后结合实测降雨数据对预测出来的降雨数据进行了落区精度评估和量级精度评估。Step (1) also includes forecasting, inversion and precision analysis of rainfall, summarizing cloud motion vector calculation using pyramid optical flow method through radar echo chart; Falling area accuracy assessment and magnitude accuracy assessment.
进一步地,步骤(2)中,对城市DEM数据、河道数据、降雨数据、下垫面类型数据进行收集预处理,并对流域下垫面通过软件自动解译提取,对流域的下垫面土地利用类型进行解译分析,从而进一步计算流域下垫面的不透水率。Further, in step (2), the urban DEM data, river channel data, rainfall data, and underlying surface type data are collected and preprocessed, and the underlying surface of the watershed is automatically interpreted and extracted by software. Interpretation analysis is carried out by using types, so as to further calculate the impervious rate of the underlying surface of the watershed.
进一步地,步骤(3)中,流域产流模型中分别计算各子汇水区的降雨产流,子汇水区包括透水区、有洼蓄不透水区和无洼蓄不透水区,流域地表总产流量的公式表示为:Further, in step (3), the rainfall runoff of each sub-catchment area is calculated separately in the watershed runoff model. The formula for the total production flow is expressed as:
R=R1+R2+R3 R=R 1 +R 2 +R 3
式中,R为总产流量,单位mm;R1为透水区域的产流量,单位为mm; R2为有洼蓄不透水区的地表产流量,单位mm;R3为无洼蓄不透水区的地表产流量,单位为mm。In the formula, R is the total production flow, in mm; R 1 is the production flow in the permeable area, in mm; R 2 is the surface production flow in the impervious area with depressions, in mm; R 3 is the impervious storage without depressions The surface yield of the area, in mm.
进一步的,SWMM模型采用非线性水库法,通过水量平衡方程、曼宁方程,对透水区和不透水区进行汇流计算。Furthermore, the SWMM model uses the nonlinear reservoir method to calculate the confluence of the permeable area and the impermeable area through the water balance equation and the Manning equation.
进一步的,步骤(2)中管网汇流模型的构建中,采用动力波法进行模拟 SWMM模型中管网汇流的方法。Further, in the construction of the pipe network confluence model in step (2), the dynamic wave method is used to simulate the pipe network confluence in the SWMM model.
更进一步地,步骤(3)中,子汇水区的参数包括不透水率,其通过预处理后的遥感影像数据解译分析待预测城市流域下垫面土地利用类型,并根据下垫面土地利用类型计算流域下垫面的不透水率。Furthermore, in step (3), the parameters of the subcatchment include the impermeability rate, which interprets and analyzes the land use type of the underlying surface of the urban watershed to be predicted through the interpretation and analysis of the preprocessed remote sensing image data, and according to the Use the type to calculate the impermeability of the underlying surface of the watershed.
更进一步地,步骤(3)中,子汇水区的参数还包括坡度值曼宁系数、洼蓄水深度、下渗率,其中通过DEM数据处理后提取得到坡度值;通过代入 SWMM模型中并反复调参确定曼宁系数、洼蓄水深度和下渗率的最终取值。Furthermore, in step (3), the parameters of the sub-catchment also include the Manning coefficient of the slope value, the depression water storage depth, and the infiltration rate, wherein the slope value is extracted after processing the DEM data; by substituting it into the SWMM model and The final values of Manning coefficient, depression storage depth and infiltration rate are determined by repeated parameter adjustment.
进一步地,步骤(3)中,洼地的提取方法为:通过ArcGIS中水文分析中的填洼工具对高精度的DEM数据设置不同的填充阈值并进行两次计算,分别得到第一次计算结果和第二次计算结果,然后通过Minus工具用第二次计算结果中全部填洼的DEM图层与第一次计算结果中得到的填充阈值为0.1m的 DEM图层相减,即提取出容易积水的低洼区域,最后再计算洼地体积,洼地体积公式表示为:Further, in step (3), the method of extracting depressions is as follows: set different filling thresholds for high-precision DEM data through the filling tool in hydrological analysis in ArcGIS and perform two calculations to obtain the first calculation results and The result of the second calculation is then subtracted from the DEM layer with a fill threshold of 0.1m obtained in the first calculation result with the Minus tool to extract the easy product In the low-lying area of water, the volume of the depression is finally calculated, and the formula for the volume of the depression is expressed as:
V洼=S洼×hmean V wa =S wa ×h mean
式中,V洼为洼地体积,单位为m3;S洼为洼地面积,单位为m2;hmean为提取的洼地范围内所有像元的深度平均值,单位为m。In the formula, V depression is the volume of the depression, the unit is m 3 ; S depression is the area of the depression, the unit is m 2 ; h mean is the average depth of all pixels within the extracted depression range, the unit is m.
更进一步地,步骤(3)中,洼地对应的子汇水区的提取方法为:首先找到洼地的最低点,再结合水流的流动方向,在整个大流域范围内确定该最低点上游区域所有流过该最低点的栅格以完成子汇水区的提取。Furthermore, in step (3), the extraction method of the subcatchment corresponding to the depression is as follows: firstly find the lowest point of the depression, and then combine the flow direction of the water flow to determine all the streams in the upstream area of the lowest point in the entire large watershed. A raster passing through this nadir is used to complete the subcatchment extraction.
更进一步地,步骤(3)中,洼地溢流点的提取方法为:先计算出DEM数据中水流的流动方向,然后再根据水流方向计算出其汇流累积量的大小,以得出洼地溢流点的位置。Furthermore, in step (3), the extraction method of the depression overflow point is: first calculate the flow direction of the water flow in the DEM data, and then calculate the size of the confluence accumulation according to the water flow direction, so as to obtain the depression overflow point point position.
进一步地,步骤(3)中,包括对已构建的洪涝风险预测模型的参数测试,在模型中输入20年一遇的设计降雨数据进行模拟,根据模拟结果与设计流量过程线对比,若两条曲线相差较大,重新调整参数进行模拟,直到模拟得到的流量过程线和设计流量过程线较接近且两组数据的纳什系数接近1。Furthermore, step (3) includes parameter testing of the established flood risk prediction model, and input the design rainfall data once in 20 years into the model for simulation. According to the comparison between the simulation results and the design flow process line, if two The curves differ greatly, and the parameters are readjusted for simulation until the simulated flow hydrograph is closer to the design flow hydrograph and the Nash coefficient of the two sets of data is close to 1.
有益效果:与现有技术相比,本发明具有如下显著优点:Beneficial effect: compared with the prior art, the present invention has the following significant advantages:
(1)客观、快速、准确地判断云层类型,降雨量预测模型准确度高;(1) Objectively, quickly and accurately judge the type of cloud layer, and the accuracy of the rainfall prediction model is high;
(2)预测识别速度快,结果精准度高,通过洪涝风险预测模型能够预测出降雨的主要落区的位置,对主要降雨段的雨量估算精度较高,并依据雨量来分析洪涝风险。(2) The speed of prediction and recognition is fast, and the accuracy of the results is high. The location of the main rainfall areas can be predicted through the flood risk prediction model, and the rainfall estimation accuracy of the main rainfall segments is high, and the flood risk is analyzed based on the rainfall.
附图说明Description of drawings
图1为清洋河流域土地利用分布情况图;Figure 1 is a map of land use distribution in the Qingyang River Basin;
图2为清洋河流域透水不透水分布情况图;Figure 2 shows the distribution of water permeability and impermeability in the Qingyang River Basin;
图3为T=1h情况下10a一遇设计暴雨过程图;Figure 3 is a diagram of the design rainstorm process once in 10 years under the condition of T=1h;
图4为T=24h情况下10a一遇和20a一遇设计暴雨过程图;Figure 4 is the design rainstorm process diagram for the 10a and 20a once in the case of T=24h;
图5为清洋河流域管网概化图;Figure 5 is a generalized map of the pipeline network in the Qingyang River Basin;
图6为研究区节点管网河道概化图;Figure 6 is a generalized map of the node pipe network channel in the study area;
图7为图6中A处流域出水口的放大图;Figure 7 is an enlarged view of the outlet of the watershed at A in Figure 6;
图8为模型网络结构示意图,(a)DEM单元网格,(b)洼地溢流点和子汇水区,(c),水流的流动路径(d),雨水在地表流动情况剖面图;Figure 8 is a schematic diagram of the model network structure, (a) DEM unit grid, (b) depression overflow point and sub-catchment area, (c), flow path of water flow (d), profile of rainwater flow on the surface;
图9为清洋河流域洼地、溢流点及汇流路径分布图;Figure 9 is a distribution map of depressions, overflow points and confluence paths in the Qingyang River Basin;
图10为清洋河流域各洼地汇水区的坡度图;Figure 10 is a slope map of the catchment area of each depression in the Qingyang River Basin;
图11为清洋河流域不透水率图;Figure 11 is the impermeability map of the Qingyang River Basin;
图12为洼地系统在SWMM中概化后的模型;Figure 12 is the generalized model of the depression system in SWMM;
图13为瞬时单位线法计算的流量过程与SWMM模型模拟的流量过程;Figure 13 shows the flow process calculated by the instantaneous unit line method and the flow process simulated by the SWMM model;
图14为洪涝风险快速识别模型和精细化洪涝模型10a一遇降雨模拟情况图;Figure 14 is a diagram of the once-in-a-time rainfall simulation of the rapid flood risk identification model and the refined flood model 10a;
图15为2020年8月12日场次降雨21:42的雷达回波图Figure 15 is the radar echo map of the rainfall event at 21:42 on August 12, 2020
图16为2020年8月12日场次降雨21:48的雷达回波图;Figure 16 is the radar echo map of the rainfall event at 21:48 on August 12, 2020;
图17为2020年8月12日场次降雨21:54的雷达回波图;Figure 17 is the radar echo map of the rainfall event at 21:54 on August 12, 2020;
图18为“2020.08.12”降雨预测图(1h总降雨);Figure 18 is the "2020.08.12" rainfall forecast map (1h total rainfall);
图19为“2020.8.12”北京市预测降雨与实测降雨分布图(上:开始6min、下:最后6min);Figure 19 is the "2020.8.12" distribution map of Beijing's predicted rainfall and measured rainfall (top: the first 6 minutes, bottom: the last 6 minutes);
图20为2020年8.12预测积水点空间分布与实际积水点对应情况;Figure 20 shows the corresponding situation between the spatial distribution of predicted water accumulation points and the actual water accumulation points in August 12, 2020;
图21为T1场次降雨模拟积水情况;Figure 21 shows the simulated waterlogging situation of the T1 session rainfall;
图22为T2场次降雨模拟积水情况;Figure 22 is the simulated water accumulation situation of T2 rainfall;
图23为T3场次降雨模拟积水情况;Figure 23 is the simulated water accumulation situation of T3 rainfall;
图24为T4场次降雨模拟积水情况。Figure 24 shows the simulated water accumulation situation of the T4 rainfall event.
具体实施方式Detailed ways
下面结合附图对本发明的技术方案作进一步说明。The technical solution of the present invention will be further described below in conjunction with the accompanying drawings.
实施例1Example 1
本实施例提供一种城市洪涝风险预测方法,具体包括以下步骤:This embodiment provides a method for predicting urban flood risk, which specifically includes the following steps:
S1构建待预测城市的降雨量预测模型:S1 constructs the rainfall prediction model of the city to be predicted:
降雨量预测模型用于自动识别类型云层,其中为客观、快速、准确地判断云层类型,基于多场次降雨的雷达回波图,通过GIS对雷达回波图进行预处理及重分类计算等,将其分为高反射率区(35-70dBZ)、中反射率区(25-35dBZ) 和低反射率区域(0-25dBZ),并提取出四种云层类型的特征值,总结得出降雨类型的识别规律,从而为临近期降雨临近预报提供快速准确的降雨类型输入。根据雷达回波图各反射率的光谱特征,构建降雨类型识别指标体系如下:The rainfall prediction model is used to automatically identify the type of cloud layer, among which is to judge the type of cloud layer objectively, quickly and accurately. Based on the radar echo images of multiple rainfall events, the radar echo images are preprocessed and reclassified by GIS. It is divided into high reflectivity area (35-70dBZ), medium reflectivity area (25-35dBZ) and low reflectivity area (0-25dBZ), and extracts the characteristic values of four cloud types, and summarizes the rainfall type Identify patterns to provide fast and accurate rainfall type input for near-term rainfall nowcasting. According to the spectral characteristics of each reflectivity of the radar echo map, the rainfall type identification index system is constructed as follows:
(1)(高反射率区面积+中反射率区面积)/回波图总面积≤0.1,层状云降雨;(1) (area of high reflectivity area + area of medium reflectivity area)/total area of echo map ≤ 0.1, stratiform cloud rainfall;
(2)(高反射率区面积+中反射率区面积)/回波图总面积≥0.3,对流云降雨;(2) (area of high reflectance area + area of medium reflectance area)/total area of echo map ≥ 0.3, convective cloud rainfall;
(3)0.1<(高反射率区面积+中反射率区面积)/回波图总面积<0.3且亮度梯度<0.15,以层状云为主的混合云降雨;(3) 0.1<(high albedo area + medium albedo area)/total echo map area<0.3 and brightness gradient<0.15, mixed cloud rainfall dominated by stratiform clouds;
(4)0.1<(高反射率区面积+中反射率区面积)/回波图总面积<0.3且亮度梯度≥0.15,以对流云为主的混合云降雨。(4) 0.1<(high albedo area + medium albedo area)/total echo map area<0.3 and brightness gradient ≥0.15, mixed cloud rainfall dominated by convective clouds.
对以上构建的降雨量预测模型进行降雨的预报、反演及精度分析,以对模型预测的降雨落区精度评估和量级精度评估。Prediction, inversion, and precision analysis of rainfall are carried out on the rainfall prediction model constructed above, so as to evaluate the accuracy of the rainfall falling area and magnitude of the model prediction.
降雨的预报、反演及精度分析具体为:通过雷达回波图总结出采用金字塔光流法进行云的运动矢量计算:基于金字塔光流法的雷达降雨临近预报主要由云的运动矢量计算和降雨外推插值预报两部分组成:Prediction, inversion and accuracy analysis of rainfall are as follows: through the radar echo chart, it is concluded that the cloud motion vector calculation is carried out by using the pyramid optical flow method: the radar rainfall nowcasting based on the pyramid optical flow method is mainly composed of cloud motion vector calculation and rainfall The extrapolation and interpolation forecast consists of two parts:
将LK光流方法与图像序列金字塔相结合,构建金字塔光流法,LK光流法的线性方程如下所示:Combining the LK optical flow method with the image sequence pyramid to construct the pyramid optical flow method, the linear equation of the LK optical flow method is as follows:
Ix(q)·u+Iy(q)·v=-It(q),q∈ΩI x (q) u+I y (q) v=-I t (q), q∈Ω
式中,Ix,Iy,It分别为q点对应的降雨对x,y,t的偏导;In the formula, I x , I y , I t are the partial derivatives of the rainfall corresponding to point q to x, y, t respectively;
计算光流速度时,先通过在前像素点q的邻域Ω内按照某一个具体确定的窗口函数加权平方求和,然后进行极小值的计算,接着通过最小二乘法,借助高斯函数将该点所占的权重比例分配到领域Ω上的其它点,计算公式如下:When calculating the optical flow velocity, firstly calculate the weighted square sum of a certain specific window function in the neighborhood Ω of the previous pixel point q, and then calculate the minimum value, and then use the least square method to use the Gaussian function to calculate the The weight proportion of the point is distributed to other points in the field Ω, and the calculation formula is as follows:
式中,*为卷积;Kρ为标准偏移ρ的高斯核;In the formula, * is convolution; K ρ is the Gaussian kernel of standard deviation ρ;
接着利用回波反射率与降雨强度间的关系对城市汛期的降雨进行临近期降雨量的预报反演,天气雷达反演降雨信息的原理是通过反射率因子Z与降雨强度R的关系式进行反推计算。选取多个不同的场次降雨,利用总结出的云层类型判别阈值来确定各场降雨的类型。Then use the relationship between echo reflectivity and rainfall intensity to forecast and invert the rainfall in the urban flood season. The principle of weather radar inversion of rainfall information is to invert the relationship between reflectivity factor Z and rainfall intensity R push calculation. Select a number of different rainfall events, and use the summed up cloud type discrimination threshold to determine the type of each rainfall event.
Z=A×Rb Z=A×R b
式中,Z为雷达反射因子;R为降雨强度;A,b为反演参数.,不同类型云层参数A和b的取值情况参考前人的研究成果。In the formula, Z is the radar reflection factor; R is the rainfall intensity; A and b are the inversion parameters. The values of parameters A and b of different types of clouds refer to previous research results.
最后结合实测降雨数据对预测出来的降雨数据进行了落区精度评估和量级精度评估。Finally, combined with the measured rainfall data, the predicted rainfall data is evaluated for the accuracy of the falling area and the magnitude of the accuracy.
S2基础数据收集及预处理:S2 basic data collection and preprocessing:
对城市DEM数据、河道数据、降雨数据、下垫面类型数据进行收集预处理,并对流域下垫面通过软件自动解译提取、以及人工目视解译,对流域的下垫面土地利用类型进行解译分析,从而进一步计算流域下垫面的不透水率。Collect and preprocess urban DEM data, river channel data, rainfall data, and underlying surface type data, and automatically interpret and extract the underlying surface of the watershed through software and manual visual interpretation, and analyze the land use type of the underlying surface of the watershed Interpretation analysis is carried out to further calculate the impervious rate of the underlying surface of the watershed.
S3构建基于SWMM的待预测城市的洪涝风险预测模型:S3 builds a SWMM-based flood risk prediction model for cities to be predicted:
对城市的节点管网进行概化并对子汇水区进行划分与数据计算,构建流域产流模型与管网汇流模型,之后通过ArcGIS软件简化当地河道数据;将处理好的河道数据导入SWMM中,并进行节点管网逻辑、拓扑关系之间的检查与校核,构建河道汇流子模型。提取洼地和溢流点,并计算每一个洼地对应的子汇水区面积;通过最短路径提取工具提取得到连通洼地各溢流点间的汇流路径;洼地汇流路径概化为管渠,将提取出来的洼地子汇水区概化为地表汇水区域,从而构建得到地表洼地汇流模型;将河道汇流子模型与地表洼地汇流模型耦合得到待预测城市的洪涝风险模型。Generalize the city's node pipe network, divide and calculate the sub-catchment area, build a watershed runoff model and a pipe network convergence model, and then simplify the local river data through ArcGIS software; import the processed river data into SWMM , and check and check the node pipe network logic and topological relationship, and construct the river confluence sub-model. Extract depressions and overflow points, and calculate the sub-catchment area corresponding to each depression; use the shortest path extraction tool to extract the confluence path between the overflow points of the connected depression; The sub-catchment area of the depression is generalized into the surface catchment area, so as to construct the surface depression confluence model; the flood risk model of the city to be predicted is obtained by coupling the channel confluence sub-model and the surface depression confluence model.
S301河道汇流子模型:S301 river confluence sub-model:
SWMM模型属于分布式流域水文模型,该模型降雨产流计算的基本单元为各子汇水区;考虑到不同下垫面的地表特性,产流计算时将流域内的各子汇水区分成不透水区域和透水区域两类,而不透水区域又分为有洼蓄不透水区和无洼蓄不透水区。The SWMM model belongs to the distributed watershed hydrological model, and the basic unit of rainfall and runoff calculation in this model is each sub-catchment; considering the surface characteristics of different underlying surfaces, the runoff calculation divides each sub-catchment in the watershed into different sub-catchments. There are two types of permeable areas and permeable areas, and the impermeable areas are divided into impermeable areas with depressions and impermeable areas without depressions.
降雨流过有洼蓄不透水区域时经地表填洼后形成净雨,计算时要除去蒸发量和洼蓄量产流量,计算公式:When the rainfall flows through the impermeable area with depressions, the net rain is formed after filling the depressions on the surface, and the evaporation and production flow of depressions should be removed during calculation. The calculation formula is:
R2=P-E-DR 2 =PED
式中,R2为有洼蓄不透水区域的地表产流量,单位为mm;P为降雨量,单位为mm;E为蒸发量,单位为mm;D为地表洼蓄量,单位为mm。In the formula, R2 is the surface runoff in the impermeable area with subsidence storage, in mm; P is the rainfall, in mm; E is the evaporation, in mm; D is the surface subsidence storage, in mm.
无洼蓄不透水区域要考虑蒸发的影响,计算产流量时要用降雨量减去蒸发损失,产流量计算公式:The impact of evaporation should be considered in the impermeable area without depression storage. When calculating the production flow, the rainfall should be subtracted from the evaporation loss. The calculation formula of production flow is:
R3=P-ER 3 =PE
式中,R3为无洼蓄不透水区的地表产流量,单位为mm;P为降雨量,单位为mm;E为蒸发量,单位为mm。In the formula, R3 is the surface yield of the impermeable area without depression storage, in mm; P is the rainfall, in mm; E is the evaporation, in mm.
降雨在透水区域产流时要减去地表洼蓄量和蒸发损失量,同时还要减去土壤的下渗量,其计算产流量的公式为:When the rainfall produces runoff in the permeable area, the surface subsidence storage and evaporation loss should be subtracted, and the infiltration of the soil should also be subtracted. The formula for calculating the runoff is:
R1=(i-f)×ΔtR 1 =(if)×Δt
式中,R1为透水区域的产流量,单位为mm;i为降雨强度,单位为mm/h; f为入渗强度,单位为mm/h;Δt为时间间隔,单位为h。In the formula, R1 is the flow rate of the permeable area, in mm; i is the rainfall intensity, in mm/h; f is the infiltration intensity, in mm/h; Δt is the time interval, in h.
SWMM模型中的入渗量计算涵盖了三种模型,分别为:霍顿模型(Horton 模型)、格林-安普特模型(Green-Ampt模型)和径流曲线数模型(SCS模型),其中霍顿模型计算时考虑了土壤下渗率随着时间的增加而减少,另外,该模型参数较少,操作简单,对小流域研究区的适用性较强,较为适用于城市地区。The calculation of infiltration in the SWMM model covers three models, namely: Horton model (Horton model), Green-Ampt model (Green-Ampt model) and runoff curve number model (SCS model), in which Horton The calculation of the model takes into account the decrease of soil infiltration rate with the increase of time. In addition, the model has fewer parameters and is easy to operate. It has strong applicability to small watershed research areas and is more suitable for urban areas.
霍顿下渗公式为:The Horton infiltration formula is:
ft=fc+(f0-fc)×e-kt f t =f c +(f 0 -f c )×e -kt
式中,ft为t时刻的土壤下渗率,单位为mm/h;fc为土壤的稳定下渗率,单位为mm/h;f0为土壤的初始下渗率,单位为mm/h;k为下渗衰减系数;t为土壤下渗时间,单位为h。In the formula, f t is the soil infiltration rate at time t, in mm/h; f c is the stable infiltration rate of soil, in mm/h; f 0 is the initial infiltration rate of soil, in mm/h h; k is the infiltration attenuation coefficient; t is the soil infiltration time, the unit is h.
每个子汇水区都是由透水区、有洼蓄不透水区和有洼蓄不透水区三种类型的地表组成,降雨经过这三种地表类型的损失并不相同,所以需要将每种类型的地表产流分别进行计算,然后再将其相加得到流域地表总产流量,公式表示为:Each subcatchment is composed of three types of surfaces: permeable area, impervious area with depressions and impervious areas with depressions. The loss of rainfall through these three types of surfaces is not the same, so it is necessary to separate each type The surface runoff of the basin is calculated separately, and then added together to obtain the total surface runoff of the watershed, the formula is expressed as:
R=R1+R2+R3 R=R 1 +R 2 +R 3
式中,R为总产流量,单位mm;R1为透水区域的产流量,单位为mm; R2为有洼蓄不透水区的地表产流量,单位mm;R3为无洼蓄不透水区的地表产流量,单位为mm。In the formula, R is the total production flow, in mm; R 1 is the production flow in the permeable area, in mm; R 2 is the surface production flow in the impervious area with depressions, in mm; R 3 is the impervious storage without depressions The surface yield of the area, in mm.
SWMM模型采用非线性水库法,通过水量平衡方程、曼宁方程,对透水区和不透水区进行汇流计算方法:The SWMM model adopts the nonlinear reservoir method, through the water balance equation and the Manning equation, to calculate the confluence of the permeable area and the impermeable area:
水量平衡方程为:The water balance equation is:
式中,V为地表汇水量,单位为m3;d为子汇水区水深,单位为m;t为时间,单位为s;A为子汇水区面积,单位为m2;i为净雨强度,单位为mm/s; Q为子汇水区出口流量,单位为m3/s。In the formula, V is the surface water catchment, in m 3 ; d is the water depth of the sub-catchment, in m; t is the time, in s; A is the area of the sub-catchment, in m 2 ; Rain intensity, the unit is mm/s; Q is the outlet flow of the sub-catchment, the unit is m 3 /s.
曼宁方程为:The Manning equation is:
式中,Q为子汇水区的出流量,单位为m3/s;W为子汇水区的特征宽度,单位为m;S为子汇水区的平均坡度;N为曼宁系数。In the formula, Q is the outflow of the sub-catchment, in m 3 /s; W is the characteristic width of the sub-catchment, in m; S is the average slope of the sub-catchment; N is the Manning coefficient.
将水量平衡方程和曼宁方程联立,用有限差分法求解可得:Combine the water balance equation and the Manning equation, and use the finite difference method to solve:
式中,t为时间步长,单位为s;d1为时间t开始初期的水深值,单位为m; d2为t结束末期的水深值,单位为m。In the formula, t is the time step, and the unit is s; d 1 is the water depth value at the beginning of time t, and the unit is m; d 2 is the water depth value at the end of time t, and the unit is m.
用霍顿公式求出i值,再对上式用迭代法进行求解得到d2值,再将其代入曼宁方程可求得时段末的出流量Q2。Use Horton's formula to find the value of i, then solve the above formula with iterative method to obtain the value of d 2 , and then substitute it into Manning's equation to get the outflow Q 2 at the end of the period.
SWMM模型中涵盖了三种管网汇流的方法,包括:恒定流法、动力波法和运动波法。动力波法能够模拟较为复杂的水流情况,能够较好地解决排水管网中逆流情况,对不同形状、不同尺寸的地下排水管网都具有很好的普适性。一般来说,城市区域排水管网较复杂,所以本文在计算时采用动力波法进行模拟。The SWMM model covers three pipe network confluence methods, including: constant flow method, dynamic wave method and kinematic wave method. The dynamic wave method can simulate more complex water flow conditions, and can better solve the countercurrent situation in the drainage network, and has good universality for underground drainage networks of different shapes and sizes. Generally speaking, the drainage pipe network in urban areas is relatively complex, so this paper uses the dynamic wave method for simulation in the calculation.
动力波法的原理是求解完整的圣维南方程组进行汇流计算。圣维南方程组包含三个方程,分别是管道连续性方程、管道动量方程和节点控制方程。The principle of the dynamic wave method is to solve the complete Saint-Venant equations for confluence calculation. Saint-Venant's equations contain three equations, which are pipe continuity equation, pipe momentum equation and node control equation.
管道连续性方程:Pipeline continuity equation:
式中,Q为管网内的流量,单位为m3/s;S为管网断面面积,单位为m2;t 为时间,单位为s;l为距离,单位为m。In the formula, Q is the flow rate in the pipe network in m 3 /s; S is the cross-sectional area of the pipe network in m 2 ; t is time in s; l is the distance in m.
管道动量方程:Pipe momentum equation:
式中,H为管道内水深,单位为m;g为重力加速度,一般取9.8m/s2;Sf为管道内的阻力系数。In the formula, H is the water depth in the pipeline, in m; g is the acceleration of gravity, generally 9.8m/s 2 ; S f is the resistance coefficient in the pipeline.
节点控制方程:Node governing equation:
式中,Qt为节点的进出流量,单位为m3/s;Ask为节点底面积,单位为m。In the formula, Q t is the flow in and out of the node, the unit is m 3 /s; Ask is the bottom area of the node, the unit is m.
S302构建得到地表洼地汇流模型S302 Construct and obtain the surface depression confluence model
首先借助ArcGIS中水文分析中的填洼工具,对高精度的DEM数据(平面分辨率为2m,垂向高度为0.1m)设置不同的填充阈值进行两次计算,然后借助Minus工具用第二步中全部填洼的DEM图层与第一步中得到的填充阈值为 0.1m的DEM图层相减,便可提取出容易积水的低洼区域,最后再计算洼地体积,并进行初步删选处理。洼地体积的计算公式如下所示:First, with the help of the fill tool in hydrological analysis in ArcGIS, set different filling thresholds for high-precision DEM data (plane resolution of 2m, vertical height of 0.1m) to perform two calculations, and then use the Minus tool to use the second step Subtract the DEM layer of all the depressions filled in the first step and the DEM layer with a filling threshold of 0.1m obtained in the first step to extract the low-lying areas that are prone to water accumulation, and finally calculate the volume of the depressions and perform preliminary deletion processing . The formula for calculating the volume of a swale is as follows:
V洼=S洼×hmean V wa =S wa ×h mean
式中,V洼为洼地体积,单位为m3;S洼为洼地面积,单位为m2;hmean为提取的洼地范围内所有像元的深度平均值,单位为m。In the formula, V depression is the volume of the depression, the unit is m 3 ; S depression is the area of the depression, the unit is m 2 ; h mean is the average depth of all pixels within the extracted depression range, the unit is m.
之后对提水区、洼地的溢流点进行提取。首先找到出水点,也就是该洼地集水区的最低点。再结合水流的流动方向,在整个大流域范围内确定该出水点上游区域所有流过该出水口的栅格以完成提水区的提取。Afterwards, the overflow points of the water lifting area and depressions are extracted. First find the outlet point, which is the lowest point of the depression's catchment area. Combined with the flow direction of the water flow, all grids flowing through the water outlet in the upstream area of the water outlet point are determined within the entire large watershed to complete the extraction of the water lifting area.
洼地溢流点需要先计算出DEM数据中水流的流动方向,然后再根据水流方向计算出其汇流累积量的大小,以得出洼地溢流点的位置。The overflow point of the depression needs to calculate the flow direction of the water flow in the DEM data first, and then calculate the cumulative amount of the confluence according to the direction of the water flow, so as to obtain the position of the overflow point of the depression.
然后生成洼地的汇流路径。提取出洼地和溢流点后,即可通过最短路径提取工具提取得到连通洼地各溢流点间的汇流路径。借助GIS空间分析里的成本路径工具,经过最短路径函数的计算,得到从起点到终点的最小成本路径。The sink path for the swale is then generated. After the depressions and overflow points are extracted, the confluence path between the overflow points of the connected depressions can be obtained by extracting the shortest path extraction tool. With the help of the cost path tool in GIS spatial analysis, the minimum cost path from the start point to the end point is obtained through the calculation of the shortest path function.
最后利用SWMM模型中把溢流点概化为调蓄池(其中,调蓄池的底面积为洼地面积;调蓄池的高为洼地平均深度),把洼地汇流路径概化为管渠,将提取出来的洼地子汇水区概化为地表汇水区域,从而构建得到基本的“溢流点- 汇流路径-子汇水区域”模型。同时,借助ArcGIS中的比例工具计算洼地的深度作为模拟积水深度。Finally, using the SWMM model, the overflow point is generalized as a storage tank (the bottom area of the storage tank is the area of the depression; the height of the storage tank is the average depth of the depression), and the confluence path of the depression is generalized as a pipe channel. The extracted depression sub-catchments are generalized into surface water catchment areas, so as to construct the basic model of "overflow point-confluence path-sub-catchment area". At the same time, with the help of the scale tool in ArcGIS, the depth of the depression is calculated as the simulated ponding depth.
S303洪涝风险模型的合理分析Rational Analysis of S303 Flood Risk Model
首先通过当地水文资料对河道流量过程进行验证。之后对内涝积水深度进行验证采用河道流量验证后产汇流模型中的参数,在洪涝风险快速识别模型中输入10a一遇最大1h降雨数据进行模拟,得到模型模拟积水深度结果,根据城市的积水风险点台账,与精细化洪涝模型模拟情况相比较,以验证模型模拟的可靠性。Firstly, the river flow process is verified by local hydrological data. Afterwards, the waterlogging depth was verified by using the parameters in the post-production and confluence model of the river flow verification, and the maximum 1-hour rainfall data in 10 years was input into the flood risk rapid identification model for simulation, and the model simulated water depth results were obtained. The water risk point account is compared with the simulation situation of the refined flood model to verify the reliability of the model simulation.
S4降雨量预测模型与洪涝风险模型耦合得到洪涝风险预测模型S4 rainfall prediction model coupled with flood risk model to get flood risk prediction model
将步骤S1中得到的降雨量预测模型输出的降雨量预测值经预处理后作为步骤S3中的洪涝风险模型的降雨量输入值;将降雨量预测模型与洪涝风险模型耦合得到洪涝风险预测模型。The rainfall prediction value output by the rainfall prediction model obtained in step S1 is preprocessed as the rainfall input value of the flood risk model in step S3; the rainfall prediction model is coupled with the flood risk model to obtain a flood risk prediction model.
S5将待预测城市的实时雷达回波图输入到洪涝风险预测模型,得到待预测城市的洪涝风险分析结果。S5 inputs the real-time radar echo map of the city to be predicted into the flood risk prediction model to obtain the analysis result of the flood risk of the city to be predicted.
实施例2Example 2
本实施例将实施例1中的方法应用于北京市清洋河流域,用于构建流域尺度的城市洪涝风险快速识别模型来预测城市内涝积水情况。In this example, the method in Example 1 is applied to the Qingyang River Basin in Beijing to construct a watershed-scale urban flood risk rapid identification model to predict urban waterlogging.
S1构建待预测城市的降雨量预测模型:S1 constructs the rainfall prediction model of the city to be predicted:
构建方法与实施例1相同,其中选取了北京地区2019年7月22日、7月 29日,2020年7月31日、8月12日四场降雨48景雷达反射率资料对构建的降雨量预测模型进行降雨的预报、反演及精度分析。The construction method is the same as that in Example 1, in which four rainfall events on July 22, July 29, 2019, and July 31, 2020, and August 12, 2020 in the Beijing area were selected for the construction of the rainfall data of 48 scenes of radar reflectivity The forecasting model carries out rainfall forecasting, inversion and precision analysis.
本实施例的雷达回波图数据来源于中国天气网。该雷达位于北京市亦庄地区,数据时间分辨率为6min,有效半径为230km,空间分辨率为1km×1°,数据详情如表1。本文的实测降雨数据来源于北京市气象部门,涉及460个雨量站,实测降雨数据时间分辨率为5min,雨量时间尺度为1h。The radar echo image data in this embodiment comes from China Weather Network. The radar is located in the Yizhuang area of Beijing. The time resolution of the data is 6 minutes, the effective radius is 230 km, and the spatial resolution is 1 km×1°. The data details are shown in Table 1. The measured rainfall data in this paper come from the Beijing Meteorological Department, involving 460 rainfall stations. The time resolution of the measured rainfall data is 5 minutes, and the time scale of rainfall is 1 hour.
表1雷达回波数据简表Table 1 Brief table of radar echo data
表2对缺测数据采用两种不同方式处理后情况对比表Table 2 Comparison table of the situation after two different ways of processing the missing data
在原始代雷缺达失图缺失的情况下,用临近的影像图进行替代。表2分析了四场降雨用雷达回波图预测降雨时缺失中间一景影像时,用前一景图替代后一景图和后一景图替代前一景图的情况。综合比较两种处理情况下的偏差BIAS、均方根误差RMSE、相关系数r、和相对误差计算结果后,T1~T3场次中后一景影像图替代前一景影像图的精度更高,所以当预报中有图像缺失时选用后一种方法进行处理。In the case that the original generation radar missing image is missing, it is replaced by an adjacent image image. Table 2 analyzes the situation of replacing the latter image with the previous image and replacing the former image with the latter image when the middle image is missing when the radar echo image is used to predict rainfall in four rainfall events. After a comprehensive comparison of the deviation BIAS, root mean square error RMSE, correlation coefficient r, and relative error calculation results under the two processing conditions, the precision of replacing the former scene image with the latter scene image in T1-T3 scenes is higher, so When there are missing images in the forecast, the latter method is selected for processing.
临近期降雨预报:基于气象雷达回波图和金字塔光流法对2019年和2020 年汛期的四场降雨进行了临近期预报,预测期为1h,时间分辨率6min。根据提取了反射率大于等于25dBZ的雷达回波图区域和反演降雨强度大于等于 1.54mm/h的预测数据区域进行落区精度分析,四场降雨的落区预测的平均精度为60.0%;提取预测准确的区域内站点实测结果和反演结果进行量级精度分析,量级预测的平均精度为62.79%。Near-term rainfall forecast: Based on the meteorological radar echo map and the pyramid optical flow method, four rainfall events in the flood seasons of 2019 and 2020 were forecasted in the near-term, with a prediction period of 1 hour and a time resolution of 6 minutes. According to the extracted radar echo image area with reflectivity greater than or equal to 25dBZ and the predicted data area with inverted rainfall intensity greater than or equal to 1.54mm/h, the accuracy analysis of the falling area is carried out. The average accuracy of the four rainfall area predictions is 60.0%. Extraction The magnitude accuracy analysis is carried out on the measured results and inversion results of accurate prediction sites in the region, and the average accuracy of magnitude prediction is 62.79%.
S2基础数据收集及预处理:S2 basic data collection and preprocessing:
通过对各种类型的数据资料进行收集整理,并进行数据前期预处理,得到基础资料如表3所示。Through the collection and arrangement of various types of data and data preprocessing, the basic data are obtained as shown in Table 3.
表3清洋河流域模型构建基础资料Table 3 Basic data of Qingyang River Basin model construction
(1)影像数据预处理(1) Image data preprocessing
本发明基于没有云层覆盖的Rapid Eye影像数据,通过软件自动解译提取、以及人工目视解译,对清洋河流域的下垫面土地利用类型进行解译分析,从而进一步计算流域下垫面的不透水率。通过图像前期预处理、软件自动提取、以及人工修正等步骤提取出清洋河流域的下垫面分布情况。Based on the Rapid Eye image data without cloud cover, the present invention interprets and analyzes the land use type of the underlying surface of the Qingyang River Basin through automatic interpretation and extraction of software and manual visual interpretation, thereby further calculating the underlying surface of the basin of impermeability. The underlying surface distribution of the Qingyang River Basin was extracted through image preprocessing, software automatic extraction, and manual correction.
(2)下垫面类型计算提取(2) Calculation and extraction of underlying surface type
根据影像上不同地物的属性特征使用易康软件进行提取计算,将清洋河流域分为建设用地、道路、水系等16种类型的下垫面。According to the attribute characteristics of different ground objects in the image, Yikang software was used to extract and calculate, and the Qingyang River Basin was divided into 16 types of underlying surfaces such as construction land, roads, and water systems.
表4清洋河流域各类地物面积比例统计Table 4 Statistical statistics of the area ratio of various land features in the Qingyang River Basin
(3)清洋河下垫面分类结果统计(3) Statistics on classification results of underlying surface of Qingyang River
用上述方法对清洋河流域下垫面类型进行提取(表4)。其中,不透水面积为17.96km2,占59.27%;透水面积为12.34km2,占40.73%。基于遥感影像提取得到清洋河流域各种地物类型分布情况如图1所示,透水不透水分布情况如图2所示。The underlying surface types of the Qingyang River Basin were extracted using the above method (Table 4). Among them, the impermeable area is 17.96km 2 , accounting for 59.27%; the permeable area is 12.34km 2 , accounting for 40.73%. Based on remote sensing image extraction, the distribution of various surface features in the Qingyang River Basin is shown in Figure 1, and the distribution of permeable and impermeable water is shown in Figure 2.
由于短历时降雨预报的数据精度高于长历时降雨预报的数据精度,所以按照防汛应急管理的实际情况,本文模拟分析积水情况时采用10年一遇的1h短历时设计暴雨;而河道汇水时汇流过程较复杂,汇流面积大且汇流时间长,所以模拟分析河道流量时采用20年一遇的24h设计长历时设计暴雨。Since the data accuracy of the short-duration rainfall forecast is higher than that of the long-duration rainfall forecast, according to the actual situation of flood control emergency management, this paper uses the 1-hour short-duration design rainstorm that occurs once in 10 years when simulating and analyzing the waterlogging situation; while the river catchment The time confluence process is more complex, the confluence area is large and the confluence time is long, so the 24-h design long-duration design rainstorm that occurs once in 20 years is used in the simulation analysis of river flow.
(4)设计暴雨计算(4) Design storm calculation
计算1h短历时设计暴雨过程时,暴雨量计算选用《城镇雨水系统规划设计暴雨径流计算标准》(DB11/T969-2016)中暴雨强度公式,设计雨型选取芝加哥雨型,再参照《给水排水设计手册》中相关内容进行降雨过程的时程分配。由于本研究中只需要用到10年一遇最大1h的数据,所以短历时设计暴雨只计算了10年一遇的数值。When calculating the 1h short-duration design rainstorm process, the rainstorm volume calculation adopts the rainstorm intensity formula in the "Calculation Standard for Stormwater System Planning and Design of Urban Rainwater System" (DB11/T969-2016), the design rain type selects the Chicago rain type, and then refers to the "Water Supply and Drainage Design According to the relevant content in the Handbook, the time course allocation of the rainfall process is carried out. Since this study only needs to use the 10-year once-in-1-hour data, the short-duration design rainstorm only calculates the 10-year once-in-a-year value.
北京市暴雨强度公式选用年最大值法进行计算,根据行政区域为划分单元,将西部区域划分为暴雨I区,东部区域划分为暴雨II区,其计算时分别对应两个不同的暴雨强度公式。本文研究区(清洋河流域)属于II区,其设计暴雨强度公式如下:The Beijing rainstorm intensity formula is calculated using the annual maximum method. According to the administrative region as the division unit, the western region is divided into the heavy rain zone I, and the eastern region is divided into the heavy rain zone II. The calculations correspond to two different rainstorm intensity formulas. The study area of this paper (Qingyang River Basin) belongs to Zone II, and its design storm intensity formula is as follows:
适用范围为:5min≤t≤1440min The scope of application is: 5min≤t≤1440min
式中,q为设计暴雨强度,单位为L(s·hm2);P为设计暴雨的重现期,单位为a;t为设计暴雨历时,单位为min。In the formula, q is the design rainstorm intensity in L(s·hm 2 ); P is the return period of the design rainstorm in a unit; t is the design rainstorm duration in min.
代入设计暴雨计算公式后,按照《给水排水设计手册》中的方法对降雨过程进行时程分配计算,又根据长期实际观测的资料,将雨峰系数r的值取为 0.167,其公式如下:After substituting the design storm calculation formula, the time history distribution calculation of the rainfall process is carried out according to the method in the "Water Supply and Drainage Design Manual", and according to the long-term actual observation data, the value of the rain peak coefficient r is taken as 0.167, and the formula is as follows:
式中,i为降雨强度,单位为mm/min;tb表示降雨峰值前的降雨历时,单位为min;ta表示降雨峰值后的降雨历时,单位为min;r为雨峰系数。In the formula, i is the rainfall intensity, the unit is mm/min; t b represents the rainfall duration before the rainfall peak, the unit is min; t a represents the rainfall duration after the rainfall peak, the unit is min; r is the rain peak coefficient.
计算24h长历时设计暴雨过程时,按照《北京市水文手册——暴雨图集》进行推求,设计雨型选为二阵雨雨型,根据《城镇雨水系统规划设计暴雨径流计算标准》(DB11/T969-2016)中的24h每5min雨型分配表进行降雨过程分配。由于本研究中需要用到10年一遇和20年一遇最大24h的设计暴雨数据,所以长历时设计暴雨计算了两组数据。短历时和长历时的设计暴雨过程线分别如图 3、图4所示。When calculating the 24h long-duration design rainstorm process, it is calculated according to the "Beijing Hydrology Manual - Rainstorm Atlas", and the design rain type is selected as the two-shower rain type. -2016) in the 24h every 5min rain pattern distribution table for rainfall process distribution. Since this study needs to use the 10-year and 20-year design rainstorm data with a maximum of 24 hours, two sets of data were calculated for the long-duration design rainstorm. The short-duration and long-duration design rainstorm process lines are shown in Figure 3 and Figure 4, respectively.
S3构建基于SWMM的待预测城市的洪涝风险预测模型:S3 builds a SWMM-based flood risk prediction model for cities to be predicted:
S301河道汇流子模型S301 River Confluence Submodel
(1)节点管网概化(1) Generalization of node pipe network
基于清洋河流域的地下排水管网资料、地形高程等资料构建管网子模型,根据雨水管线的连接情况检查其上下游连接方式是否正确,核对管道设置的形状、高程以及上下游管底标高、接口距离管底高度值等;检查节点管网连接逻辑关系,以及坡度等相关信息。地下排水管网概化时应该遵循去繁从简的原则,即删除研究区内与排水功能无关或者是对其影响极小的管线路径,只留下雨水管网中最主要的部分,并核对高程与坐标位置的匹配性。地下排水管网数据之间常常会存在逆坡、管道不连通、或者是存在孤立点等错误,因此需仔细检查核对管道上下游连接高程,保证地下排水管道之间、检查井与检查井之间的连接逻辑关系正确。经过模型构建后得到:清洋河流域内共1921个节点,排水管网1913段,总长74.25km。构建的管网概化如图5所示。Construct the sub-model of the pipe network based on the underground drainage pipe network data and terrain elevation data of the Qingyang River Basin, check whether the upstream and downstream connections are correct according to the connection of the rainwater pipelines, and check the shape, elevation and bottom elevation of the upstream and downstream pipes , the height of the interface from the bottom of the pipe, etc.; check the logical relationship between the node pipe network connection, and the slope and other related information. The generalization of the underground drainage network should follow the principle of reducing complexity and simplifying, that is, deleting the pipeline paths in the study area that have nothing to do with the drainage function or have little impact on it, leaving only the most important part of the rainwater network, and checking the elevation and Matching of coordinate positions. Underground drainage pipe network data often have errors such as reverse slope, disconnected pipes, or isolated points. Therefore, it is necessary to carefully check the connection elevation of the upstream and downstream of the pipes to ensure that the underground drainage pipes, inspection wells and inspection wells The connection logic relationship is correct. After the model is constructed, it is obtained that there are 1921 nodes in the Qingyang River Basin, 1913 sections of the drainage pipe network, and a total length of 74.25km. The generalization of the constructed pipe network is shown in Figure 5.
(2)子汇水区划分(2) Division of sub-catchments
子汇水区的划分需要参考研究区的管网分布情况和地形、下垫面等资料。子汇水分区的划分考虑研究区时间情况,根据研究区域的地形地貌特征、地下管网布设情况,以及子汇水区内的水就近排放到河道的原则进行划分。本发明综合了泰森多边形法和人工判读两种方法对流域进行子汇水区的划分。第一步,根据流域内地下排水管线、清洋河河道、研究区坡度和不透水比例等信息,结合遥感影像对概化的检查井汇水区进行人工划分。第二步,根据人工划分的汇水区,通过泰森多边形法进一步自动化分子汇水区。经过以上步骤可以得到:研究区共划分子汇水区1745个,面积为0.002~3.99ha,子汇水区平均面积为0.38ha。节点、管网、河道、子汇水区划分结果图6所示。The division of sub-catchments needs to refer to the distribution of pipe networks in the study area, topography, underlying surface and other data. The division of sub-catchments considers the time conditions of the study area, and is divided according to the topographic features of the study area, the layout of underground pipe networks, and the principle that the water in the sub-catchments is discharged to the nearest river. The invention combines two methods of Thiessen polygon method and manual interpretation to divide the watershed into sub catchment areas. The first step is to manually divide the generalized inspection well catchment area based on information such as underground drainage pipelines in the watershed, the channel of the Qingyang River, the slope of the study area, and the proportion of impervious water, combined with remote sensing images. In the second step, the molecular catchment is further automated through the Thiessen polygon method based on the manually demarcated catchment. After the above steps, it can be obtained that the study area is divided into 1745 sub-catchments, with an area of 0.002-3.99ha, and the average area of sub-catchments is 0.38ha. The division results of nodes, pipe network, river course and sub catchment area are shown in Figure 6.
GIS软件简化清洋河河道数据;将处理好的河道数据导入SWMM中,并进行节点管网逻辑、拓扑关系之间的检查与校核,构建河道汇流子模型。该河道的上边界是清洋河的起点,出口边界是清洋河入清河口处。The GIS software simplifies the channel data of the Qingyang River; imports the processed channel data into SWMM, and checks and checks the logic and topological relationship of the node pipe network to build a sub-model of the channel confluence. The upper boundary of the channel is the starting point of Qingyang River, and the outlet boundary is where Qingyang River enters the mouth of Qinghe River.
S302构建得到地表洼地汇流模型S302 Construct and obtain the surface depression confluence model
(1)洼地提取(1) Depression extraction
借助ArcGIS中水文分析中的填洼工具,对高精度的DEM数据(平面分辨率为2m,垂向高度为0.1m)设置不同的填充阈值进行两次计算。第一次,使用填洼工具将填充阈值设置为0.1m,即将深度小于0.1m的洼地视为系统自身的误差进行填充,而将深度大于0.1m的洼地保留下来。第二次,使用同样的填洼工具再次进行填洼,此时不设置任何填充阈值,把研究区内所有的洼地区域都进行填充,输出得到无洼地的DEM数据。接着,借助Minus工具用第二步中全部填洼的DEM图层与第一步中得到的填充阈值为0.1m的DEM图层相减,便可提取出容易积水的低洼区域,最后再计算洼地体积。With the help of the filling tool in hydrological analysis in ArcGIS, two calculations were performed with different filling thresholds for high-precision DEM data (plane resolution 2m, vertical height 0.1m). For the first time, use the filling tool to set the filling threshold to 0.1m, that is, to fill the depressions with a depth less than 0.1m as the error of the system itself, and keep the depressions with a depth greater than 0.1m. For the second time, use the same filling tool to fill again. At this time, without setting any filling threshold, fill all the depressions in the study area, and output the DEM data without depressions. Then, use the Minus tool to subtract all the DEM layers filled in the second step from the DEM layer with a filling threshold of 0.1m obtained in the first step to extract the low-lying areas that are prone to water accumulation, and finally calculate The volume of the swale.
因为像元深度为两次不同阈值填充后相减得到的图层,所以在计算像元深度和时一定要注意先计算出每一个像元的差值,然后再计算所有像元的和。像元面积大小等于单个像元的面积大小乘以洼地内像元的总个数。在本研究中,因为选取的高精度DEM数据的平面分辨率为2m,所以计算时单个栅格像元的大小就为2m×2m。Because the cell depth is the layer obtained by subtracting two different threshold fillings, so when calculating the sum of cell depths, it is necessary to first calculate the difference of each pixel, and then calculate the sum of all pixels. The cell area size is equal to the area size of a single cell multiplied by the total number of cells in the swale. In this study, because the planar resolution of the selected high-precision DEM data is 2m, the size of a single grid cell is 2m×2m during calculation.
通过上述填洼处理提取出洼地后,还需对洼地进行初步筛选处理,即去除面积过小的区域以及湖泊、河道等水体区域,本文重点对建筑区内的积水内涝情况进行研究分析。After the depressions are extracted through the above-mentioned filling process, the depressions need to be preliminarily screened, that is, to remove areas with too small an area and water bodies such as lakes and rivers.
(2)洼地集水区提取(2) Depression water catchment extraction
洼地集水区提取时,第一步找到出水点,也就是该洼地集水区的最低点。第二步结合水流的流动方向,在整个大流域范围内确定该出水点上游区域所有流过该出水口的栅格,注意搜寻时找遍流域的每一个角落,避免数据缺失。When extracting a depression catchment, the first step is to find the outlet point, which is the lowest point of the depression catchment. In the second step, combined with the flow direction of the water flow, determine all the grids that flow through the outlet in the upstream area of the water outlet within the entire large watershed. Pay attention to searching every corner of the watershed when searching to avoid missing data.
先利用水文分析中的捕捉溢流点工具搜索一定范围内汇流累积量较高的栅格点,再利用分水岭工具提取出每个洼地对应的集水子流域,并计算出每一个洼地对应的子汇水区面积。First use the catch overflow point tool in the hydrological analysis to search for the grid points with high accumulation of confluence within a certain range, then use the watershed tool to extract the catchment sub-basin corresponding to each depression, and calculate the sub-watershed corresponding to each depression catchment area.
(3)洼地溢流点提取(3) Extraction of depression overflow points
洼地溢流点为雨水从洼地边缘的漫溢出来的点。当计算出了区域内的潜在积水区(即洼地区域)和每个洼地对应的汇流累积量,便可通过计算提取出洼地溢流点的位置,即一个洼地内汇流累积量最大点所在的位置。计算洼地溢流点时,需要先计算出DEM数据中水流的流动方向,然后再根据水流方向计算出其汇流累积量的大小。GIS中每个格网的水流方向为水流出该格网时的指向,将中心格网周边的八个格网都编码,赋予其代表的数字,便可得到水流方向的数值。A swale overflow point is the point at which rainwater overflows from the edge of a swale. When the potential water accumulation area in the area (i.e. the depression area) and the corresponding cumulative flow of each depression are calculated, the position of the overflow point of the depression can be extracted by calculation, that is, the point where the maximum cumulative flow of water in a depression is located Location. When calculating the overflow point of the depression, it is necessary to calculate the flow direction of the water flow in the DEM data first, and then calculate the size of the cumulative flow according to the flow direction. The water flow direction of each grid in GIS is the direction when the water flows out of the grid, and the eight grids around the central grid are coded, and the numbers they represent are assigned to obtain the value of the water flow direction.
(4)洼地汇流路径生成(4) Generation of confluence paths in depressions
一场降雨过程中,雨水降落到地表后先汇集在地势较低洼的地方,当洼地被填满时,洼地中的水将会从边缘溢出,称该点为洼地的溢流点,如图8(a)、 (b)所示。通过计算,比较筛选找到洼地区域内汇流累积量最大的点,该点即为溢流点。当洼地被蓄满时,水流从溢流点溢出,离开该洼地,继续流向下一个地势更低的洼地,将这一整个雨水不断填洼-流动的过程概化为网络,如图8 (c)、(d)所示,最后历经全研究区范围内。这种方法可以快速准确地提取出洼地区域(潜在积水区)的位置,且操作简便。During a rainfall process, the rainwater falls to the surface and collects in the low-lying places first. When the depression is filled, the water in the depression will overflow from the edge. This point is called the overflow point of the depression, as shown in Figure 8 (a), (b) shown. Through calculation, comparison and screening, find the point with the largest confluence accumulation in the depression area, which is the overflow point. When the depression is full, the water overflows from the overflow point, leaves the depression, and continues to flow to the next depression with a lower terrain. The entire process of continuous filling and flow of rainwater is generalized into a network, as shown in Figure 8 (c ), (d), and finally go through the whole research area. This method can quickly and accurately extract the location of the depression area (potential water accumulation area), and is easy to operate.
提取出洼地和溢流点后,即可通过最短路径提取工具提取得到连通洼地各溢流点间的汇流路径。借助GIS空间分析里的成本路径工具,经过最短路径函数的计算,得到从起点到终点的最小成本路径。此方法能够找到两点之间最快捷高效的路线,属于最优路径选择中使用频率较高的一种方法。其工作原理是通过溢流点在每个流向栅格中的方向信息,得到一个像素宽的栅格网络,可以通过该工具将其转变为下游的方向确定的曲线。After the depressions and overflow points are extracted, the confluence path between the overflow points of the connected depressions can be obtained by extracting the shortest path extraction tool. With the help of the cost path tool in GIS spatial analysis, the minimum cost path from the start point to the end point is obtained through the calculation of the shortest path function. This method can find the fastest and most efficient route between two points, and is a method frequently used in optimal route selection. Its working principle is to obtain a pixel-wide grid network through the direction information of the overflow point in each flow direction grid, which can be converted into a downstream direction-determined curve through this tool.
经过上述步骤提取出的清洋河流域洼地、溢流点及汇流路径分布如图9所示。因为本研究主要研究的是城市范围内对人们生活有影响的区域,重点在道路、建筑区区域,所以去除了研究区内面积小于0.3ha的洼地以及水域、绿地的洼地,最终筛选得到清洋河区域内有效洼地46个,总面积为0.32km2;洼地间汇流路径64段,总长度为20.18km。The distribution of depressions, overflow points and confluence paths in the Qingyang River Basin extracted through the above steps is shown in Figure 9. Because this study mainly studies the areas that have an impact on people's lives within the city, focusing on roads and construction areas, the depressions with an area of less than 0.3ha, water areas, and green areas in the research area were removed, and Qingyang was finally screened. There are 46 effective depressions in the river area, with a total area of 0.32km 2 ; there are 64 confluence paths between depressions, with a total length of 20.18km.
之后进行SWMM中洼地汇流网络系统概化,在SWMM模型中把溢流点概化为调蓄池(其中,调蓄池的底面积为洼地面积;调蓄池的高为洼地平均深度),把洼地汇流路径概化为管渠,将提取出来的洼地子汇水区概化为地表汇水区域,从而构建得到基本的“溢流点-汇流路径-子汇水区域”模型。Afterwards, generalize the depression confluence network system in SWMM, and generalize the overflow point into a storage tank in the SWMM model (wherein, the bottom area of the storage tank is the area of the depression; the height of the storage tank is the average depth of the depression), and the The confluence path in the depression is generalized into pipes and canals, and the extracted depression sub-catchment is generalized into the surface catchment area, so as to construct the basic model of "overflow point-confluence path-sub-catchment area".
S303子汇水区参数计算S303 Subcatchment Parameter Calculation
(1)子汇水区坡度计算(1) Calculation of the slope of the subcatchment
子汇水区的坡度大小会影响水流流动的速度,对模型坡面汇流产生较大影响,坡度的改变会使得坡地汇流的流量和汇流时间,以及流域出口断面的流量过程线发生变化,从而降低模型模拟的准确性和真实性。本研究中所用的高精度DEM数据来自北京市第一次水务普查成果,该高程数据的精度为2m。将清洋河流域的高精度DEM数据加载到GIS软件中,借助表面分析中的坡度工具进行坡度提取处理,得到整个清洋河流域内的地面坡度值。然后又借助区域分析功能中的分区统计工具提取出每一个子汇水区的平均坡度值,再将每个子汇水区的坡度值与各个子汇水区一一对应上,得到按照子汇水区划分后的坡度值,进而生成图10所示的研究区子汇水区平均坡度图,其最小的子汇水区的平均坡度值为1.16%,最大坡度值为20.77%。The slope of the subcatchment will affect the speed of water flow, which will have a great impact on the model slope confluence. The change of slope will change the flow rate and confluence time of the slope confluence, as well as the flow hydrograph of the outlet section of the watershed, thereby reducing the Accuracy and realism of model simulations. The high-precision DEM data used in this study comes from the results of the first water affairs census in Beijing, and the precision of the elevation data is 2m. Load the high-precision DEM data of the Qingyang River Basin into the GIS software, use the slope tool in the surface analysis to extract the slope, and obtain the ground slope value in the entire Qingyang River Basin. Then, the average slope value of each sub-catchment is extracted with the help of the zoning statistics tool in the regional analysis function, and then the slope value of each sub-catchment is matched with each sub-catchment to obtain the The slope value after division, and then generate the average slope map of the sub-catchments in the study area shown in Figure 10. The average slope value of the smallest sub-catchment is 1.16%, and the maximum slope value is 20.77%.
(2)子汇水区不透水率计算(2) Calculation of impermeability in sub-catchments
子汇水区不透水率根据研究区下垫面的土地利用类型进行计算。本研究根据清洋河流域下垫面不同土地利用类型为基础数据进行不透水率计算。清洋河流域下垫面用地类型有:道路、道路两侧植被、耕地、公共绿地、公园绿地、河道、湖泊、建设用地、坑塘、裸土、普通房屋、水池、停车场、未利用面积、屋顶绿化、小区绿化共16种,将其分为透水和不透水两个大类,不透水赋值为 1,透水的赋值为0,通过GIS中的分区统计工具统计出每一个子汇水区的平均不透水率,再将每个子汇水区的平均不透水率数值与各个子汇水区的序号一一对应上,得到按照子汇水区划分后的平均不透水率值,最终生成图11所示的研究区子汇水区不透水率比例图,经过计算得到:最小的子汇水区的平均不透水率为23.79%,最大平均不透水率为100%。The impermeability of the subcatchment is calculated according to the land use type of the underlying surface in the study area. In this study, the impermeable rate was calculated based on the data of different land use types on the underlying surface of the Qingyang River Basin. The types of land used for the underlying surface of the Qingyang River Basin include: roads, vegetation on both sides of roads, cultivated land, public green spaces, park green spaces, river courses, lakes, construction land, pits and ponds, bare soil, ordinary houses, pools, parking lots, and unused areas There are 16 kinds of roof greening and community greening, which are divided into two categories: permeable and impermeable. The value of impervious is 1, and the value of permeable is 0. Each sub-catchment area is counted by the partition statistics tool in GIS The average impervious rate of each sub-catchment, and then the average impermeable rate value of each sub-catchment area is corresponding to the serial number of each sub-catchment area, and the average impermeable rate value after dividing according to the sub-catchment area is obtained, and finally the graph is generated 11 shows the proportion of impermeability ratio of the sub-catchments in the study area. After calculation, the average impervious rate of the smallest sub-catchment is 23.79%, and the largest average impermeable rate is 100%.
(3)子汇水区相关参数确定(3) Determination of relevant parameters of sub-catchments
子汇水区其他的相关参数值,比如:透水区和不透水区的曼宁系数、洼蓄水深度、最大最小下渗率等参数,一般都没有办法通过直接计算提取得到,而是通过参考前人的研究结论,或者从SWMM模型使用手册中选取初值代入进行模拟,然后通过反复调参确定最终取值。地表漫流参数的取值大小会对模型计算结果的准确性产生影响,结合实际区域的可操作情况,本发明中选取以下公式来计算子汇水区的地面漫流宽度:Other relevant parameter values of the subcatchment, such as the Manning coefficient of the permeable area and the impermeable area, the depth of the depression, the maximum and minimum infiltration rates, etc., are generally not obtained by direct calculation, but by reference Based on previous research conclusions, or select the initial value from the SWMM model manual for simulation, and then determine the final value through repeated parameter adjustment. The value of the overland flow parameter will affect the accuracy of the model calculation results. In combination with the operability of the actual area, the following formula is selected in the present invention to calculate the overland flow width of the sub-catchment area:
Width=k×Sqrt(Area)(0.2<k<5)Width=k×Sqrt(Area)(0.2<k<5)
其中,Width为子汇水区的宽度,单位为m;Area为子汇水区的面积,单位为m2。K值取2。SWMM中概化后的模型如图12所示。Among them, Width is the width of the sub-catchment, the unit is m; Area is the area of the sub-catchment, the unit is m2. The value of K is 2. The generalized model in SWMM is shown in Figure 12.
S304模型参数测试S304 Model parameter test
在模型中输入20年一遇的设计降雨数据进行模拟,对模型参数进行测试,根据模拟结果与设计流量过程线对比,若两条曲线相差较大,重新调整参数进行模拟,直到模拟得到的流量过程线和设计流量过程线较接近且两组数据的纳什系数接近1。根据郭旖琪的研究,在SWMM模型中,不透水区和透水区的曼宁系数对峰值流量的影响较大,属于敏感参数;最大渗入速率对总产流量影响很小,属于不敏感参数。参考此规律进行参数率定,在SWMM中输入模型用户手册中的参数初选值后,输入降雨事件进行模型模拟,接着,将模拟出来的河道出口处的流量过程线和水文手册中计算得到的流量过程线进行对比,以水文手册计算出来的流量过程线为参照,通过在参数初选值附近反复微调,使其模拟出来的流量过程线尽量接近参照的流量过程线,率定后模型最终参数取值见表5。Input the design rainfall data once in 20 years into the model for simulation, test the model parameters, and compare the simulation results with the design flow process line. If the two curves have a large difference, readjust the parameters for simulation until the simulated flow rate is obtained. The hydrograph is close to the design flow hydrograph and the Nash coefficient of the two sets of data is close to 1. According to Guo Qiqi’s research, in the SWMM model, the Manning coefficient of the impermeable zone and the permeable zone has a greater impact on the peak flow rate, which is a sensitive parameter; the maximum infiltration rate has little effect on the total flow rate, and is an insensitive parameter. Refer to this rule to calibrate the parameters. After inputting the initial selection values of the parameters in the model user manual in SWMM, input the rainfall events to simulate the model. Then, the simulated discharge hydrograph at the outlet of the river channel and the calculated hydrological manual For comparison, the flow process line calculated in the hydrological manual is used as a reference, and the simulated flow process line is as close as possible to the reference flow process line through repeated fine-tuning near the initial parameter value, and the final parameter of the model after calibration See Table 5 for the values.
表5子汇水区相关参数选值表Table 5 Selection table of relevant parameters of sub-catchments
最后进行ArcGIS中洼地深度计算,通过SWMM软件输入场次降雨数据后,洼地汇流网系统可以模拟得到调蓄池内实际蓄水体积V2,将模拟得到的实际蓄水体积V2与原来提取出的洼地总体积V1作比,便可得到该场次降雨后每一个洼地的蓄水体积比值V2/V1,再借助ArcGIS中的比例工具,根据比值V2/V1缩小洼地体积,接着提取出每一个洼地的平均深度值,这个平均深度值即为该场次降雨在地面的模拟积水深度。Finally, calculate the depth of the depression in ArcGIS. After inputting the field rainfall data through SWMM software, the depression confluence network system can simulate the actual water storage volume V 2 in the storage tank, and compare the simulated actual water storage volume V 2 with the originally extracted depression. Compared with the total volume V 1 , the water storage volume ratio V 2 /V 1 of each depression after the rainfall can be obtained, and then use the proportional tool in ArcGIS to reduce the volume of the depression according to the ratio V 2 /V 1 , and then extract The average depth value of each depression, this average depth value is the simulated ponding depth of the rainfall on the ground for this session.
S305洪涝风险模型的合理分析Rational Analysis of S305 Flood Risk Model
(1)河道流量过程验证(1) River flow process verification
由于研究区缺乏实测流量资料,因此在20年一遇设计降雨情况下,将水文手册中瞬时单位线方法计算得到的河道出口断面处的流量过程线与SWMM模型模拟得到的流量过程线进行对比分析。通过水文手册方法计算河道出口断面处的流量过程线时,设计流量过程采用瞬时单位线推求,并通过径流系数法扣除各时段的入渗损失,参照《北京市水文手册(第二分册洪水篇)》,根据研究区的面积及相关属性,查表得到汇流参数n为1.5,k为1.2。经过参数率定后,在设计降雨量为20年一遇情况下,SWMM模型模拟得到的流量过程线和水文手册计算得到的流量过程线如图13。其中,20年一遇计算得到的流域出口洪峰流量为79m3/s,构建的洪涝风险快速识别模型模拟得到的洪峰流量为63.6m3/s,相对偏差为19.50%,Nash系数为0.86,由图13可知:峰现时间、两种方法计算得到的流量过程线形状基本一致,且水文手册方法的洪峰流量相比模型模拟流量偏大。由此看出,模型模拟结果合理可靠,该参数可用于洼地汇流系统模型的构建。(2)内涝积水深度验证Due to the lack of measured flow data in the study area, under the design rainfall once in 20 years, the flow hydrograph at the channel outlet section calculated by the instantaneous unit line method in the hydrological manual was compared with the flow hydrograph obtained by the SWMM model simulation. . When using the hydrological manual method to calculate the flow process line at the river outlet section, the design flow process is calculated using the instantaneous unit line, and the infiltration loss in each period is deducted by the runoff coefficient method. Refer to the Beijing Hydrological Manual (Second Volume Flood Chapter) 》, according to the area and related attributes of the study area, the confluence parameter n is 1.5, and k is 1.2. After parameter calibration, under the condition that the design rainfall is once in 20 years, the flow hydrograph obtained from the SWMM model simulation and the hydrograph calculated from the hydrological manual are shown in Figure 13. Among them, the flood peak flow at the outlet of the basin calculated once in 20 years is 79m 3 /s, and the flood peak flow simulated by the constructed flood risk rapid identification model is 63.6m 3 /s, with a relative deviation of 19.50% and a Nash coefficient of 0.86. It can be seen from Figure 13 that the peak time and the shape of the flow hydrographs calculated by the two methods are basically the same, and the flood peak flow of the hydrological manual method is larger than the simulated flow of the model. It can be seen that the simulation results of the model are reasonable and reliable, and this parameter can be used in the construction of the model of the sink confluence system. (2) Verification of waterlogging depth
首先进行内涝积水深度验证,采用河道流量验证后产汇流模型中的参数,在洪涝风险快速识别模型中输入10a一遇最大1h降雨数据进行模拟,得到模型模拟积水深度结果,根据《清河流域基于精细化洪涝模型的积水风险点台账》,与精细化洪涝模型模拟情况相比较,其偏差见表6,降雨积水模拟情况见图14。First, verify the waterlogging depth, use the river flow to verify the parameters in the confluence model, and input the maximum 1-hour rainfall data in 10 years into the flood risk rapid identification model for simulation, and obtain the model simulated water depth results, according to "Qinghe Basin Compared with the simulation situation of the refined flood model, the deviation is shown in Table 6, and the simulation situation of rainfall and waterlogging is shown in Figure 14.
表6参数率定后该模型模拟水深与精细化洪涝模型模拟水深误差表Table 6 Error table of water depth simulated by this model and simulated water depth by refined flood model after calibration of parameters
由表6可以看出,在10a一遇最大1h降雨事件中,W9积水点的模拟值与精细化洪涝模型模拟的积水深度值相差0.051m,误差率为13.25%;W33积水点的模拟值与精细化洪涝模型模拟的积水深度值相差0.026m,误差率为- 12.68%;W44积水点的模拟值与精细化洪涝模型模拟的积水深度值相差 0.002m,误差率为1.12%。由计算结果可知,模拟结果合理,构建的城市洪涝风险快速识别模型能够较好地模拟出研究区内洼地的内涝积水情况。It can be seen from Table 6 that in the 10-year maximum 1-hour rainfall event, the simulated value of the W9 waterlogging point is 0.051m different from the waterlogging depth value simulated by the refined flood model, and the error rate is 13.25%; the W33 waterlogging point The difference between the simulated value and the water depth value simulated by the refined flood model is 0.026m, and the error rate is -12.68%; the difference between the simulated value of W44 water point and the water depth value simulated by the refined flood model is 0.002m, and the error rate is 1.12 %. It can be seen from the calculation results that the simulation results are reasonable, and the constructed urban flood risk rapid identification model can better simulate the waterlogging situation in the depressions in the study area.
S4降雨量预测模型与洪涝风险模型耦合得到洪涝风险预测模型S4 rainfall prediction model coupled with flood risk model to get flood risk prediction model
将步骤S1中得到的降雨量预测模型输出的降雨量预测值经预处理后作为步骤S3中的洪涝风险模型的降雨量输入值;将降雨量预测模型与洪涝风险模型耦合得到洪涝风险预测模型。The rainfall prediction value output by the rainfall prediction model obtained in step S1 is preprocessed as the rainfall input value of the flood risk model in step S3; the rainfall prediction model is coupled with the flood risk model to obtain a flood risk prediction model.
S5将待预测城市的实时雷达回波图输入到洪涝风险预测模型,得到待预测城市的洪涝风险分析结果。S5 inputs the real-time radar echo map of the city to be predicted into the flood risk prediction model to obtain the analysis result of the flood risk of the city to be predicted.
(1)研究数据资料(1) Research data
临近期降雨预报中输入数据来自中国天气雷达网下载的雷达回波图,进行降雨预测分析时下载了时间为2020年8月12日场次降雨的21:42、21:48、 21:54三景雷达图,如图15-图17所示。清河流域“2020.08.12”降雨的积水数据来自实地调研收集积水情况。实测降雨数据来源于北京市气象部门,实测降雨数据时间分辨率为5min。The input data in the near-term rainfall forecast comes from the radar echo map downloaded from the China Weather Radar Network, and the three-scene radar at 21:42, 21:48, and 21:54 of the rainfall on August 12, 2020 was downloaded during the rainfall forecast analysis Figure, as shown in Figure 15-Figure 17. The accumulated water data of the "2020.08.12" rainfall in the Qinghe River Basin comes from field surveys to collect accumulated water conditions. The measured rainfall data comes from the Beijing Meteorological Department, and the time resolution of the measured rainfall data is 5 minutes.
“2020.08.12”场次降雨预测分析"2020.08.12" rain forecast analysis
受西北低涡、东海和孟加拉湾气流影响,2020年8月12日降雨是北京市入汛以来最强的降雨,据统计:全市平均降雨量69mm,暴雨中心从西南到东北呈条带状分布,昌平、怀柔、城区等地雨量较大,城区暴雨中心石景山 244mm,郊区暴雨中心怀柔237mm,最大雨强昌平沙河闸72mm/h(12日 22:15-23:15)。北运河大部分河道及白河、雁栖河、拒马河等少数河道出现明显涨水过程。Affected by the northwest vortex, the East China Sea and the Bay of Bengal airflow, the rainfall on August 12, 2020 was the strongest since Beijing entered the flood season. According to statistics, the city's average rainfall is 69mm, and the rainstorm center is distributed in strips from southwest to northeast. Changping, Huairou, and urban areas have relatively heavy rainfall. The urban heavy rain center is 244mm in Shijingshan, and the suburban heavy rain center is 237mm in Huairou. Most of the channels of the North Canal and a few channels such as the Baihe River, the Yanqi River, and the Juma River experienced significant flooding.
通过临近期降雨预报平台,基于金字塔光流法和云图外推法,输入判别出来的云层类型进行计算,得到未来一个小时的降雨预报产品,其1h总降雨量的降雨插值图见图18,“8.12”1h临近期降雨预报产品中开始前6min和最后6min 降雨的预测落区与实测降雨落区分布图见图19。Through the near-term rainfall forecast platform, based on the pyramid optical flow method and cloud image extrapolation method, input the identified cloud type for calculation, and obtain the rainfall forecast product for the next hour. The rainfall interpolation map of the 1h total rainfall is shown in Figure 18, " Figure 19 shows the distribution of the predicted falling area and the measured rainfall falling area of the 8.12"1h near-term rainfall forecast product in the first 6 minutes and the last 6 minutes.
由预测降雨量数据和实测降雨数据比较可知:预测结果与实际降雨基本一致,城区预测结果略偏小,预测情况与实际情况对比图见表7。From the comparison of the predicted rainfall data and the measured rainfall data, it can be seen that the predicted results are basically consistent with the actual rainfall, and the predicted results in urban areas are slightly smaller. The comparison between the predicted situation and the actual situation is shown in Table 7.
表7预测情况与实际情况对比图Table 7 Contrast between forecasted situation and actual situation
由于清洋河内实际调查得到的积水点有限,所以分析了清河流域(研究区清洋河流域的大流域)的预测降雨和实际积水点的位置分布情况。在清河流域利用激光雷达(LiDAR)技术构建精细化高程模型(平面分辨率2m,垂向高度 0.1m),经过地形分析,识别内涝低洼风险区域170个,将预测降雨和实际积水点叠加得到图20,由图可看出实际积水点位置和强降雨预测落区位置吻合度较高。Due to the fact that the actual survey of water accumulation points in Qingyang River is limited, the location distribution of predicted rainfall and actual water accumulation points in the Qinghe River Basin (the large watershed of the Qingyang River Basin in the study area) was analyzed. In the Qinghe River Basin, LiDAR technology was used to build a refined elevation model (planar resolution 2m, vertical height 0.1m). After terrain analysis, 170 low-lying risk areas of waterlogging were identified, and the predicted rainfall and actual water accumulation points were superimposed to obtain Figure 20. It can be seen from the figure that the actual location of the water accumulation point and the location of the heavy rainfall forecast fall area have a high degree of agreement.
(2)四场预测降雨内涝积水情况分析(2) Analysis of forecasted rainfall, waterlogging and waterlogging in four fields
人类活动和自然因素共同对城市流域的产流量产生影响。城市洪水的降雨- 径流关系受城市发展水平影响,与城市不透水面积密切相关。地下排水管道在某一设计重现期下的排水能力不仅与其设计暴雨量有关,还与其选用的洪峰径流系数密切相关。一般情况下,雨水管道的设计排水能力(指排泄净雨的能力) 是确定的,参考《北京市水文手册(第二分册洪水篇)》中的内容,目前北京市城区雨水管道的洪峰径流系数一般采用0.55。本次考虑地下排水管网影响,所以需要先对降雨数据进行预处理。Human activities and natural factors jointly affect the runoff of urban watersheds. The rainfall-runoff relationship of urban flood is affected by the level of urban development and is closely related to the urban impervious area. The drainage capacity of underground drainage pipes in a certain design recurrence period is not only related to its design storm volume, but also closely related to its selected flood peak runoff coefficient. In general, the design drainage capacity of rainwater pipes (referring to the ability to discharge net rain) is determined. Referring to the content in the "Beijing Hydrology Handbook (Second Volume Flood)", the current flood peak runoff coefficient of rainwater pipes in urban areas of Beijing Generally, 0.55 is used. Considering the influence of the underground drainage pipe network this time, it is necessary to preprocess the rainfall data first.
将临近期降雨预报中得到的四场降雨数据输入构建的内涝风险快速识别模型中进行积水深度模拟计算,通过对四场降雨模拟计算可得:T1场次降雨的积水深度最小值为0.01m,最大值为0.36m,平均积水深度为0.28m;T2场次降雨的积水深度最小值为0.02m,最大值为0.34m,平均积水深度为0.14m;T3 场次降雨的积水深度最小值为0.03m,最大值为0.79m,平均积水深度为0.29m; T4场次降雨的积水深度最小值为0.04m,最大值为0.79m,平均积水深度为 0.33m。四场降雨的积水情况见表8所示,模拟积水情况示意图见图21~图24。Input the four rainfall data obtained in the near-term rainfall forecast into the built waterlogging risk rapid identification model to simulate and calculate the water accumulation depth. Through the four rainfall simulation calculations, it can be obtained that the minimum water accumulation depth of the T1 rainfall is 0.01m , the maximum value is 0.36m, and the average water depth is 0.28m; the minimum water depth of the T2 rainstorm is 0.02m, the maximum value is 0.34m, and the average water depth is 0.14m; the T3 rainwater depth is the smallest The value is 0.03m, the maximum is 0.79m, and the average water depth is 0.29m; the minimum water depth of T4 rainfall is 0.04m, the maximum is 0.79m, and the average water depth is 0.33m. The water accumulation conditions of the four rainfall events are shown in Table 8, and the schematic diagrams of the simulated water accumulation conditions are shown in Figures 21 to 24.
表8四场预测降雨的模拟积水情况Table 8 Simulated accumulation of water in the four predicted rainfall events
基于构建的城市洪涝风险快速识别模型,从降雨预测角度对北京市2020年“8.12”降雨的预情况进行了分析。通过洪涝风险快速识别模型能够预测出降雨的主要落区的位置,对主要降雨段的雨量估算精度较高,并根据雨量来分析洪涝风险。Based on the constructed urban flood risk rapid identification model, the forecast situation of "8.12" rainfall in Beijing in 2020 was analyzed from the perspective of rainfall prediction. The flood risk rapid identification model can predict the location of the main rainfall area, and the rainfall estimation accuracy of the main rainfall segment is high, and the flood risk can be analyzed according to the rainfall.
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