CN110160550A - A kind of city route bootstrap technique based on the prediction of road ponding - Google Patents

A kind of city route bootstrap technique based on the prediction of road ponding Download PDF

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CN110160550A
CN110160550A CN201910353542.XA CN201910353542A CN110160550A CN 110160550 A CN110160550 A CN 110160550A CN 201910353542 A CN201910353542 A CN 201910353542A CN 110160550 A CN110160550 A CN 110160550A
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耿艳芬
朱保航
穆宏轩
马耀鲁
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Southeast University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/26Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 specially adapted for navigation in a road network
    • G01C21/34Route searching; Route guidance
    • G01C21/3453Special cost functions, i.e. other than distance or default speed limit of road segments
    • G01C21/3492Special cost functions, i.e. other than distance or default speed limit of road segments employing speed data or traffic data, e.g. real-time or historical
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C21/00Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00
    • G01C21/26Navigation; Navigational instruments not provided for in groups G01C1/00 - G01C19/00 specially adapted for navigation in a road network
    • G01C21/34Route searching; Route guidance
    • G01C21/36Input/output arrangements for on-board computers
    • G01C21/3697Output of additional, non-guidance related information, e.g. low fuel level
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Abstract

本发明提出一种基于道路积水预测的城市路线引导方法,该方法通过采集待分析区域下垫面与管网数据,通过坡向坡度分析、管网概化、划分子汇水区,构建城市道路积水模型,并结合历史降雨数据设计不同重现期下降雨过程作为模拟降雨条件,根据实时降雨数据按趋势相似性遴选道路积水模拟数据作为道路积水预测结果,最终将最佳出行方案与积水信息反馈给移动端用户。与现有积水检测技术相比,本方法可在强降雨初发生时,预测整场降雨时长内城市道路积水情况,随降水时长增加逐时间步长修正预测值,以保证预测结果的准确度;并可针对不同出行方式提供避积水路线与引导信息,有效引导移动端用户避险绕行,保障城市交通参与者出行安全。

The invention proposes an urban route guidance method based on road water accumulation prediction. The method collects the data of the underlying surface and the pipe network in the area to be analyzed, and constructs the city through the analysis of the slope aspect, the generalization of the pipe network, and the division of the sub-catchment areas. The road water accumulation model is combined with the historical rainfall data to design the rainfall process under different return periods as the simulated rainfall conditions. According to the real-time rainfall data, the simulated road water accumulation data is selected according to the trend similarity as the road water accumulation prediction result, and finally the best travel plan is selected. Feedback with stagnant water information to mobile users. Compared with the existing water accumulation detection technology, this method can predict the urban road water accumulation during the entire rainfall duration when the heavy rainfall occurs at the beginning, and correct the predicted value step by step with the increase of the rainfall duration to ensure the accuracy of the prediction results. It can provide water avoidance routes and guidance information for different travel modes, effectively guide mobile users to avoid danger and detour, and ensure the travel safety of urban traffic participants.

Description

一种基于道路积水预测的城市路线引导方法An urban route guidance method based on road water accumulation prediction

技术领域technical field

本发明属于道路积水预测技术领域,尤其涉及一种基于道路积水预测的城市路线引 导方法。The invention belongs to the technical field of road water accumulation prediction, and in particular relates to an urban route guidance method based on road water accumulation prediction.

背景技术Background technique

目前道路积水信息的获取途径主要分为三类:(1)传统水文方法。基于雨量水位监测站反馈的数据获取城市道路积水信息,因此通常在暴雨已经造成道路积水后才能通报险情,在获取数次积水数据后根据经验法猜测积水点分布,不具备时效性,进而无法获 取准确信息,参考价值低。(2)积水检测装置。目前的道路积水监测装置可以获取准确 的积水信息,但积水状况分布依赖于检测装置,无法对出行线路上潜在的积水状况进行 有效的预测,故难以判断出合理的避积水路线。(3)地图导航软件。路面积水的形成主 要取决于降雨条件,现有的地图导航软件中主要依靠道路监控获取积水信息,一定程度 上可以展现城市道路的积水分布,但无法根据降雨条件的差异性对积水过程进行有效的 量化,并且无法提供正确的避积水路线,难以保障强降雨天气下城市地面交通的运行效 率及安全。At present, the ways of obtaining road water information are mainly divided into three categories: (1) traditional hydrological methods. The information of urban road water accumulation is obtained based on the data fed back by the rainfall and water level monitoring station. Therefore, the danger can be reported only after the rainstorm has caused road water accumulation. After obtaining the water accumulation data for several times, the distribution of water accumulation points can be guessed according to the empirical method, which is not time-sensitive. , so that accurate information cannot be obtained, and the reference value is low. (2) Water accumulation detection device. The current road water accumulation monitoring device can obtain accurate water accumulation information, but the distribution of water accumulation depends on the detection device and cannot effectively predict the potential accumulation of water on the travel route, so it is difficult to determine a reasonable route to avoid accumulation of water. . (3) Map navigation software. The formation of road surface water mainly depends on rainfall conditions. Existing map navigation software mainly relies on road monitoring to obtain water accumulation information, which can show the distribution of water accumulation on urban roads to a certain extent, but it is impossible to determine the accumulation of water according to the difference of rainfall conditions. The process is effectively quantified, and it is impossible to provide a correct route to avoid water accumulation, and it is difficult to ensure the operation efficiency and safety of urban ground transportation under heavy rainfall weather.

基于上述现状,可通过城市地形、管网和设计降雨数据建立道路积水模型实现道路 积水的量化;可通过实测降雨与设计降雨的趋势相似性实现积水信息预测;可通过地图开放平台按照积水指标实现避积水路线引导的功能。Based on the above status quo, the road water accumulation model can be established through the urban terrain, pipe network and design rainfall data to realize the quantification of road water accumulation; the water accumulation information can be predicted through the trend similarity between the measured rainfall and the designed rainfall; The stagnant water indicator realizes the function of guiding the route to avoid stagnant water.

发明内容SUMMARY OF THE INVENTION

发明目的:针对以上问题,本发明提出了一种基于道路积水预测的城市路线引导方 法,以解决在强降雨天气下,市民出行时难以事先做好避积水路线的现状。本发明可以对道路的积水点分布与积水深度进行预测,能针对不同交通方式有效引导行人车辆选择较为安全高效通行路线。Purpose of the invention: In view of the above problems, the present invention proposes an urban route guidance method based on road water accumulation prediction, in order to solve the current situation that it is difficult for citizens to prepare a route to avoid accumulation of water in advance when traveling under heavy rainfall weather. The invention can predict the distribution of water accumulation points and the water accumulation depth on the road, and can effectively guide pedestrians and vehicles to select relatively safe and efficient passage routes according to different traffic modes.

技术方案:为实现本发明的目的,本发明所采用的技术方案是:一种基于道路积水预测的城市路线引导方法,该方法包括以下步骤:Technical solution: In order to achieve the purpose of the present invention, the technical solution adopted in the present invention is: a city route guidance method based on road water accumulation prediction, the method comprises the following steps:

步骤1:采集待分析区域下垫面与管网数据,进行待分析区域的坡度坡向分析和管网概化;Step 1: Collect the underlying surface and pipe network data of the area to be analyzed, and carry out the slope aspect analysis and pipe network generalization of the area to be analyzed;

步骤2:按单一性三原则划分水文模型的子汇水区,结合管网构建城市道路积水模型,与电子地图建立坐标转换关系;Step 2: Divide the sub-catchments of the hydrological model according to the three principles of singleness, build the urban road water accumulation model in combination with the pipe network, and establish the coordinate conversion relationship with the electronic map;

步骤3:结合待分析区域的历史降雨数据筛选特征性降雨过程,设计不同重现期下的降雨过程作为模拟降雨条件,结合步骤2中道路积水模型进行道路积水信息模拟,计 算不同设计降雨过程下道路积水深度;Step 3: Combine the historical rainfall data of the area to be analyzed to screen the characteristic rainfall process, design the rainfall processes under different return periods as the simulated rainfall conditions, and combine the road water accumulation model in step 2 to simulate the road water accumulation information, and calculate the different design rainfalls Depth of road water accumulation under the process;

步骤4:记录实时降水过程,根据趋势相似性与设计降雨过程进行数值分析和趋势匹配,遴选出预测降雨过程,取其道路积水模拟数据作为积水信息预测结果,并依据实 时降雨条件变化逐时段修正,用于下述步骤中积水通行系数计算;Step 4: Record the real-time precipitation process, carry out numerical analysis and trend matching according to the trend similarity and the designed precipitation process, select the predicted precipitation process, take the simulated data of road water accumulation as the water accumulation information prediction result, and analyze the precipitation information one by one according to the change of real-time precipitation conditions. Time period correction, used for the calculation of the passage coefficient of stagnant water in the following steps;

步骤5:接受移动端用户引导请求,上传选定的起始点至在线电子地图平台,获取所有可行的出行方案;Step 5: Accept the mobile terminal user guidance request, upload the selected starting point to the online electronic map platform, and obtain all feasible travel plans;

步骤6:获取用户请求时的降雨过程发生的对应时段,结合步骤4中道路积水预测结果,取该时段的道路积水数据,考虑不同出行方式,计算各方案积水通行系数并比较 判断,将积水通行系数最小的方案作为各出行方式下最佳引导路线;Step 6: Obtain the corresponding time period of the rainfall process when the user requests, and combine the road water accumulation prediction result in step 4, take the road water accumulation data in this period, consider different travel modes, calculate the water accumulation passage coefficient of each scheme, and compare and judge, Take the scheme with the smallest stagnant water passing coefficient as the best guide route under each travel mode;

步骤7:整合最佳出行方案与积水信息,反馈至移动端用户,完成路线引导。Step 7: Integrate the best travel plan and water accumulation information, and feed it back to the mobile terminal users to complete the route guidance.

进一步地,步骤2中所述划分子汇水区的单一性三原则具体为:(1)下垫面单一性原则:指考虑不同地貌、植被类型、湖泊水系、人造建筑与道路分布,使同一汇水区内 只存在一种下垫面类型。(2)坡向单一性原则:指在(1)的条件下,使任一汇水区内 的坡向一致;(3)坡度单一性原则:指在(2)的条件下,控制边界使子汇水区对应的 实际地形坡度值变化在内,为各子汇水区内的平均坡度值。Further, the three principles of singleness of sub-catchment division described in step 2 are specifically: (1) The principle of singleness of underlying surface: refers to considering different landforms, vegetation types, lake water systems, man-made buildings and road distribution, so that the same There is only one underlying surface type in the catchment. (2) The principle of singleness of slope aspect: under the condition of (1), the slope aspect in any catchment area shall be consistent; (3) The principle of singleness of slope: under the condition of (2), the control boundary shall be The actual terrain slope value corresponding to the subcatchment changes in Inside, is the average slope value in each subcatchment.

进一步地,步骤2中构建城市道路积水模型的具体步骤为:(1)根据下垫面类型,将划分后的子汇水区贴上标签以进行区分,并设置各项参数:比如坡度、渗透性面积比 例、曼宁n值、渗透速率等;(2)概化管网模型,确定人工口分布后,根据管流流向连 接人工口,设置人工口和管道的各项参数;(3)根据坡向判断径流流向,进而建立子汇 水区和子汇水区、子汇水区和人工口的汇流关系。Further, the specific steps for constructing the urban road water accumulation model in step 2 are: (1) according to the type of underlying surface, label the divided subcatchments to distinguish them, and set various parameters: such as slope, Permeability area ratio, Manning's n value, permeability rate, etc.; (2) Generalize the pipe network model, after determining the distribution of artificial ports, connect the artificial ports according to the flow direction of the pipes, and set various parameters of the artificial ports and pipes; (3) The runoff direction is judged according to the slope aspect, and then the confluence relationship between the sub-catchment and the sub-catchment, the sub-catchment and the artificial mouth is established.

进一步地,步骤2中建立坐标转换关系的具体步骤为:(1)选择电子地图上一点为参照点A,点A的经纬度为参照经纬度;(2)选择道路积水模型上与A点相对应的位 置,设为模型坐标原点O;(3)多参数法进行经纬度与道路积水模型的二维平面坐标变 换;(4)根据点A和点O的平面坐标,建立(3)中两坐标体系的换算关系。Further, the concrete steps of establishing a coordinate conversion relationship in step 2 are: (1) select a point on the electronic map as reference point A, and the latitude and longitude of point A is the reference latitude and longitude; (2) select the road water model corresponding to point A (3) The multi-parameter method is used to transform the two-dimensional plane coordinates of the longitude and latitude and the road water model; (4) According to the plane coordinates of point A and point O, establish the two coordinates in (3) system conversion.

进一步地,步骤3中筛选特征性降雨过程,目的是选出易造成道路积水并对工程危害大的降雨过程,进而完成模拟降雨设计。特征性降雨过程需同时满足典型暴雨的以下 三种特征:(1)雨量大,指雨量上至少达到暴雨等级,即24小时降雨量大于38mm的 降雨量;此处可以根据实际需要自定义降雨量的值,38mm只是作为示例说明;(2)存 在主雨峰,指在完整降雨过程中存在最大瞬间降雨强度,其值不小于1mm/min;此处的 值可以根据实际需要自定义,(3)主雨峰靠后,指在完整降雨过程中峰值比例大于0.5。 上述的具体数值都可以根据实际需要自定义,此处的具体数值只是作为示例说明。Further, in step 3, the characteristic rainfall process is screened, and the purpose is to select the rainfall process that is likely to cause road water accumulation and cause great harm to the project, and then complete the simulated rainfall design. The characteristic rainfall process needs to meet the following three characteristics of typical rainstorms at the same time: (1) The rainfall is large, which means that the rainfall reaches at least the rainstorm level, that is, the rainfall in 24 hours is greater than 38mm; here, the rainfall can be customized according to actual needs. The value of 38mm is only used as an example; (2) there is a main rain peak, which means that there is a maximum instantaneous rainfall intensity during the complete rainfall process, and its value is not less than 1mm/min; the value here can be customized according to actual needs, (3 ) is behind the main rain peak, which means that the peak ratio is greater than 0.5 in the complete rainfall process. The above specific values can be customized according to actual needs, and the specific values here are only used as examples.

进一步地,步骤3中设计不同重现期下降雨过程的设计方法具体为:取符合特征的历史降雨,根据同倍比放大法得到设计降雨过程,同倍比放大系数公式如下:Further, in step 3, the design method for designing the rainfall process under different return periods is as follows: take historical rainfall that meets the characteristics, and obtain the design rainfall process according to the same-time amplification method. The formula for the same-time amplification factor is as follows:

式中:X特征性降雨为特征性降雨量,mm;X设计为不同重现期下的设计降雨量,mm。In the formula: X characteristic rainfall is the characteristic rainfall, mm; X design is the design rainfall under different return periods, mm.

进一步地,步骤3中计算道路积水深度采用的公式如下:Further, the formula used to calculate the road water depth in step 3 is as follows:

式中:Q为地表径流;W为子流域固有宽度,m;S为坡度,%;n为曼宁糙率系 数;d为积水平均深度,m;dp为最大洼地蓄水深度,m。Where: Q is the surface runoff; W is the inherent width of the sub-watershed, m; S is the slope, %; n is the Manning roughness coefficient; d is the average depth of the pond water, m; .

进一步地,步骤4中趋势相似性判断规则及步骤具体包括:Further, in step 4, the trend similarity judgment rules and steps specifically include:

步骤4.1:采集实时降雨过程的逐时段降雨量为数列{PR},实时降雨量累加值为数列 {PT},则有公式:Step 4.1: The period-by-period rainfall of the real-time rainfall process is the sequence {P R }, and the cumulative value of the real-time rainfall is the sequence {P T }, then there is the formula:

式中:PTi为前i时段内实时降雨量累加值;PRi为第i时段实时降雨量;kRi为第i时段实时变化系数;Δt为降雨时间记录步长,取1h。In the formula: P Ti is the accumulated value of real-time rainfall in the previous i period; P Ri is the real-time rainfall in the i-th period; k Ri is the real-time variation coefficient in the i-th period; Δt is the rainfall time recording step, which is 1h.

步骤4.2:令步骤3中设计降雨过程的逐时段降雨量为数列{P′R},设计降雨量累加值 为数列{P′T},则有公式:Step 4.2: Let the period-by-period rainfall of the designed rainfall process in step 3 be the sequence {P′ R }, and the accumulated value of the designed rainfall is the sequence {P′ T }, then there is the formula:

式中:P′Ti为前i时段内设计降雨量累加值;P′Ri为第i时段设计降雨量;k′RI为第I时 段实时变化系数;Δt为降雨时间记录步长,取1h。In the formula: P′ Ti is the accumulated value of the design rainfall in the previous i period; P′ Ri is the design rainfall in the i period; k′ RI is the real-time variation coefficient of the I period; Δt is the rainfall time recording step, which is 1h.

步骤4.3:I=0,令实时降雨量逐时数列初始值PR0=0;即第0时段未发生降雨, i=i+1;Step 4.3: I=0, let the initial value of the hourly series of real-time rainfall P R0 =0; that is, no rainfall occurs in the 0th period, i=i+1;

步骤4.4:判断PRi实测值,若PRi≥6,则发生强降雨,进行下一步骤;若PRi<6, 则发生中小型降雨,未达到积水阈值,i=i+1,重复步骤4.4;Step 4.4: Judging the measured value of P Ri , if P Ri ≥ 6, then heavy rainfall occurs, go to the next step; if P Ri <6, then small and medium rainfall occurs, and the water accumulation threshold is not reached, i=i+1, repeat Step 4.4;

步骤4.5:计算PTi,在相同的降雨发生时长下,筛选所有符合P′Ti∈(PTi-i,PTi+i)条件的设计降雨过程作为备选降雨过程;Step 4.5: Calculate P Ti , and select all design rainfall processes that meet the conditions of P' Ti ∈ (P Ti -i, P Ti +i) as alternative rainfall processes under the same rainfall occurrence duration;

步骤4.6:定义某备选降雨过程的前i时段内变化系数最大值k′Rimax=k′i,则对于不 同的备选降雨过程j,有前i时段内变化系数最大值数列{k′ij};计算实时降雨过程变化系数数列{kR},并令ki=max({kR}),取|ki-k′ij|min代表的备选降雨过程作为前i个时 段的预测降雨过程;Step 4.6: Define the maximum value of variation coefficient k′ Rimax = k′ i in the first i period of a certain candidate rainfall process, then for different candidate rainfall processes j, there is a sequence of the maximum variation coefficient within the first i period {k′ ij }; Calculate the real-time rainfall process variation coefficient sequence {k R }, and set k i =max({k R }), and take the alternative rainfall process represented by | ki -k′ ij | min as the forecast for the first i time periods rainfall process;

步骤4.7:i=i+1,若监测到PRi>0,则重复步骤4.5和4.6,每重复一次,便更 新一次预测结果;若PRi=0,则降雨停止,过程结束。Step 4.7: i=i+1, if P Ri >0 is monitored, repeat steps 4.5 and 4.6, and update the prediction result every time it is repeated; if P Ri =0, the rainfall stops and the process ends.

进一步的,步骤6具体包括:Further, step 6 specifically includes:

步骤6.1:在道路积水模型中根据坐标对应关系逐一对应可行性路线;Step 6.1: Corresponding feasible routes one by one according to the coordinate correspondence in the road water model;

步骤6.2:按不同的可行路线,结合步骤4的道路积水预测结果,取实时降雨对应时段的积水数据,将其所有路段的积水数据由起点向终点汇总成表;此处的积水数据即 第i时段对应路段的平均积水深度dxStep 6.2: According to different feasible routes, combined with the road water accumulation prediction results in step 4, take the water accumulation data of the corresponding period of real-time rainfall, and summarize the water accumulation data of all the road sections from the starting point to the end point into a table; The data is the average ponding depth d x of the road section corresponding to the i-th period;

步骤6.3:考虑机动车、非机动车、步行出行方式因素,定义不同出行方式的涉水深度危险等级,以此排除不同出行方式下存在涉水风险的路线;Step 6.3: Considering the factors of motor vehicles, non-motor vehicles and walking modes of travel, define the risk level of water wading depth for different travel modes, so as to exclude routes with water wading risks under different travel modes;

步骤6.4:综合考虑各路线上积水深度、路段数与路段长度因素,计算各路线的积水通行系数θ;如下式所示:Step 6.4: Comprehensively consider the factors of the depth of water, the number of road sections and the length of each route, and calculate the water traffic coefficient θ of each route; as shown in the following formula:

式中:θ为各路线的积水通行系数,量纲为1;n为各路线的路段数;lx为某一路 段的长度,m;dx为第i时段对应路段的平均积水深度,m。In the formula: θ is the stagnant water passage coefficient of each route, and the dimension is 1; n is the number of road sections of each route; lx is the length of a certain road section, m; dx is the average ponding depth of the corresponding road section in the i-th period , m.

步骤6.5:比较各路线的积水通行系数,判断通行系数最小的路线作为最佳引导路线。Step 6.5: Compare the stagnant water passing coefficients of each route, and determine the route with the smallest passing coefficient as the best guiding route.

有益效果:与现有技术相比,本发明的技术方案具有以下有益技术效果:Beneficial effects: compared with the prior art, the technical solution of the present invention has the following beneficial technical effects:

本发明的有益效果是可在强降雨初期,预测整场降雨时长内城市道路积水信息,并 随降雨时间推移逐时修正预测值,以保证预测结果的准确度;基于此可针对不同出行方式生成更加安全高效的避积水引导路线,通过移动端有效引导行人车辆避险绕行,保障 出行车辆及行人安全,降低事故发生率和事故损失。The beneficial effect of the present invention is that in the early stage of heavy rainfall, the information of urban road water accumulation in the entire rainfall duration can be predicted, and the predicted value can be corrected hourly with the rainfall time, so as to ensure the accuracy of the predicted result; Generate a safer and more efficient guidance route to avoid stagnant water, effectively guide pedestrians and vehicles to avoid danger through the mobile terminal, ensure the safety of traveling vehicles and pedestrians, and reduce the accident rate and accident loss.

附图说明Description of drawings

图1为本发明的方法流程图;Fig. 1 is the method flow chart of the present invention;

图2为坡度可视化案例图,坡度大小由颜色深浅区分,颜色由浅到深分别表示[0,0.5%]、[0.5%,2%]、[2%,10%]、[10%,30%]、[30%,100%];Figure 2 is a case diagram of slope visualization. The size of the slope is distinguished by the depth of the color. The colors from light to dark represent [0, 0.5%], [0.5%, 2%], [2%, 10%], [10%, 30%. ], [30%, 100%];

图3为管网概化案例图;Figure 3 is a generalized case diagram of the pipeline network;

图4为道路积水模型案例图;Figure 4 is a case diagram of the road water model;

图5为样本区域的特征性降雨过程及其设计降雨过程;Figure 5 shows the characteristic rainfall process of the sample area and its design rainfall process;

图6为样本区域在设计日降雨量49.2ml,降雨8小时后的道路积水分布模拟结果案例图;Figure 6 is a case diagram of the simulation results of road water distribution in the sample area in the design daily rainfall of 49.2ml and 8 hours after rainfall;

图7为针对不同出行方式分别建议的最佳引导路线反馈图。Fig. 7 is a feedback diagram of the best guidance route suggested respectively for different travel modes.

具体实施方式Detailed ways

下面结合附图和实施例对本发明的技术方案作进一步的说明。The technical solutions of the present invention will be further described below with reference to the accompanying drawings and embodiments.

参见图1,一种基于道路积水预测的城市路线引导方法,包括以下步骤:Referring to Figure 1, an urban route guidance method based on road water accumulation prediction includes the following steps:

第一步:采集样布区域地形地貌与管网数据,进行样本区域的坡度坡向分析和管网 概化,如图2、3所示;Step 1: Collect topography and pipe network data in the sample area, conduct slope aspect analysis and pipe network generalization in the sample area, as shown in Figures 2 and 3;

第二步:1、按单一性三原则对样本区域进行子汇水区划分,将划分后的样本区域结合管网概化模型构成道路积水模型,如图4所示。同时建立模型坐标转换关系:(1) 选择电子地图上一点为参照点A,点A的经纬度为参照经纬度;(2)选择道路积水模型 上与A点相对应的位置,设为模型坐标原点O;(3)多参数法进行经纬度与平面坐标变 换;(4)根据点A和点O的平面坐标,建立两平面坐标体系的换算关系。Step 2: 1. Divide the sample area into subcatchments according to the three principles of unity, and combine the divided sample area with the generalized model of the pipe network to form a road water accumulation model, as shown in Figure 4. At the same time, the model coordinate conversion relationship is established: (1) Select a point on the electronic map as the reference point A, and the longitude and latitude of point A as the reference longitude and latitude; (2) Select the position corresponding to point A on the road water model and set it as the origin of the model coordinates O; (3) Multi-parameter method to transform latitude and longitude and plane coordinates; (4) According to the plane coordinates of point A and point O, establish the conversion relationship between the two plane coordinate systems.

第三步:1、参见图5左图,为样本区域符合降雨特征的一场特征性降雨过程,日 累积降雨量为56.5mm,每小时降雨量见表1;Step 3: 1. Refer to the left picture of Figure 5, which is a characteristic rainfall process in the sample area that conforms to the rainfall characteristics. The daily cumulative rainfall is 56.5mm, and the hourly rainfall is shown in Table 1;

表1.降雨过程Table 1. Rainfall process

小时数(h)Hours (h) 11 22 33 44 55 66 77 88 99 1010 1111 降雨量(mm)Rainfall (mm) 00 00 00 00 00 1.21.2 0.80.8 4.84.8 6.66.6 8.88.8 9.29.2 小时数(h)Hours (h) 1212 1313 1414 1515 1616 1717 1818 1919 2020 21twenty one 22twenty two 降雨量(mm)Rainfall (mm) 11.211.2 6.86.8 4.44.4 2.32.3 0.40.4 00 00 00 00 00 0 0

2、不同重现期下设计日降雨量见表2;2. The designed daily rainfall under different return periods is shown in Table 2;

表2.不同重现期条件下的设计日降雨量Table 2. Design daily rainfall under different return period conditions

重现期(a)Return period (a) 0.50.5 11 22 33 55 1010 2020 5050 设计日降雨量(mm)Design daily rainfall (mm) 49.249.2 75.975.9 102.5102.5 118.1118.1 135.6135.6 160.6160.6 197.8197.8 230.4 230.4

3、通过以下公式计算放大系数K后,放大每小时降雨量可得到设计降雨过程,图 5右图为不同重现期下降雨过程时序图;3. After calculating the amplification factor K by the following formula, the designed rainfall process can be obtained by amplifying the hourly rainfall. The right picture of Figure 5 is the timing diagram of the rainfall process under different return periods;

式中:X特征性降雨为特征性降雨量,mm;X设计为不同重现期下的设计降雨量,mm。In the formula: X characteristic rainfall is the characteristic rainfall, mm; X design is the design rainfall under different return periods, mm.

4、将设计降雨过程作为模拟降雨条件,结合步骤2中积水模型进行道路积水信息模拟,可视化结果见图6,积水深度可通过下式进行计算;4. Take the designed rainfall process as the simulated rainfall condition, and use the water accumulation model in step 2 to simulate the road water accumulation information. The visualization results are shown in Figure 6. The accumulation water depth can be calculated by the following formula;

式中:Q为地表径流;W为子流域固有宽度,m;S为坡度,%;n为曼宁糙率系 数;d为积水平均深度,m;dp为最大洼地蓄水深度,m。Where: Q is the surface runoff; W is the inherent width of the sub-watershed, m; S is the slope, %; n is the Manning roughness coefficient; d is the average depth of the pond water, m; .

第四步:1、记录实时降雨过程,如表3所示;Step 4: 1. Record the real-time rainfall process, as shown in Table 3;

表3.降雨过程记录表(0-4h)Table 3. Rainfall process record table (0-4h)

时间/htime/h 00 11 22 33 44 降雨量/mmRainfall/mm 00 55 77 1111 9 9

2、采集实时降雨过程的逐时段降雨量为数列{PR},实时降雨量累加值为数列{PT},则有公式:2. The period-by-period rainfall of the real-time rainfall process is a sequence {P R }, and the accumulated value of the real-time rainfall is a sequence {P T }, then there is the formula:

式中:PTi为前i时段内实时降雨量累加值;PRi为第i时段实时降雨量;kRi为第i时段实时变化系数;Δt为降雨时间记录步长,取1h。In the formula: P Ti is the accumulated value of real-time rainfall in the previous i period; P Ri is the real-time rainfall in the i-th period; k Ri is the real-time variation coefficient in the i-th period; Δt is the rainfall time recording step, which is 1h.

3:令步骤3中设计降雨过程的逐时段降雨量为数列{P′R},设计降雨量累加值为数列 {P′T},则有公式:3: Let the period-by-period rainfall of the designed rainfall process in step 3 be the sequence {P′ R }, and the accumulated value of the designed rainfall is the sequence {P′ T }, then there is the formula:

式中:P′Ti为前i时段内设计降雨量累加值;P′Ri为第i时段设计降雨量;k′Ri为第i时 段实时变化系数;Δt为降雨时间记录步长,取1h。In the formula: P′ Ti is the accumulated value of the design rainfall in the previous i period; P′ Ri is the design rainfall in the i-th period; k′ Ri is the real-time variation coefficient of the i-th period; Δt is the rainfall time recording step, which is 1h.

4:i=0,实时降雨量逐时序列初始值PR0=0,i=i+1=1;4: i=0, the initial value of the real-time rainfall time-by-hour sequence P R0 =0, i=i+1=1;

5:实时降雨过程在第1个时段的实时降雨量PR1=5mm<6mm,未达到积水阈值, i=i+1=1+1=2;实时降雨过程在第2个时段的实时降雨量PR2=7mm>6mm, 即预测发生强降雨;PT2=12mm;在相同降雨发生时长下,筛选所有符合P′T2∈ (PT2-2,PT2+2)=(10mm,14mm)条件的设计降雨过程作为备选降雨过程;若这些 备选降雨过程前2个时段内的变化系数最大值数列{k′2j},计算实时降雨过程变化系数数 列{kR},令max({kR})=k2,取|k2-k′2j|min所代表的备选降雨过程作为前2个时段的 预测降雨过程,取该备选降雨过程的道路积水模拟数据作为积水预测结果;;5: The real-time rainfall of the real-time rainfall process in the first period P R1 =5mm<6mm, the water accumulation threshold is not reached, i=i+1=1+1=2; the real-time rainfall of the real-time rainfall process in the second period Quantity P R2 = 7mm>6mm, that is to say, heavy rainfall is predicted; P T2 = 12mm; under the same rainfall duration, filter all the parameters that meet P' T2 ∈ (P T2 -2, P T2 +2) = (10mm, 14mm) The designed rainfall process of the conditions is used as the alternative rainfall process; if the maximum value sequence of the variation coefficients of these alternative rainfall processes in the first two time periods {k′ 2j }, calculate the real-time rainfall process variation coefficient sequence {k R }, let max({ k R })=k 2 , take the alternative rainfall process represented by |k 2 -k′ 2j | min as the predicted rainfall process in the first two time periods, and take the road stagnant simulation data of the alternative rainfall process as stagnant water forecast result;;

6:第3时段内,监测到PR3>0,则重复步骤5得到前3个时段的预测降雨过程, 并更新积水预测结果;6: In the third period, if P R3 > 0 is monitored, repeat step 5 to obtain the predicted rainfall process for the first three periods, and update the stagnant water forecast results;

7:第4时段内,监测到PR4>0,则重复步骤5得到前4个时段的预测降雨过程, 并更新积水预测结果;7: In the fourth period, if P R4 > 0 is monitored, repeat step 5 to obtain the predicted rainfall process for the first four periods, and update the stagnant water forecast results;

8:若第5时段内监测到PR5>0,则重复步骤5得到前5个时段的预测降雨过程, 并更新积水预测结果;若PR5=0,则降雨停止,过程结束。8: If P R5 >0 is monitored in the fifth time period, repeat step 5 to obtain the predicted rainfall process for the first five time periods, and update the stagnant water prediction result; if P R5 =0, the rainfall stops and the process ends.

第五步:接受移动端用户引导请求,利用现有平台获取所有出行方案。Step 5: Accept the mobile terminal user guidance request, and use the existing platform to obtain all travel plans.

第六步:1、在道路积水模型中根据坐标对应关系逐一对应可行性路线;Step 6: 1. In the road water model, correspond the feasible routes one by one according to the corresponding coordinate relationship;

2、结合第四步的道路积水预测结果,取第4时段的道路积水数据,将可行性路线上所有路段的积水信息,按照不同路线由起始点到终点汇总成表;2. Combine the road water accumulation prediction results in the fourth step, take the road water accumulation data in the fourth period, and summarize the water accumulation information of all road sections on the feasible route into a table from the starting point to the end point according to different routes;

3、根据出行方式排除危险等级较高的路线,各出行方式的危险等级见表4;3. Exclude routes with higher risk levels according to the travel mode. The risk levels of each travel mode are shown in Table 4;

表4.各出行方式危险等级Table 4. Danger level of each travel mode

表4中,行人与自行车的危险等级评定根据积水测试及经验判断,私家车危险评定标准根据常见车型的进气口和排气口高度调查,如表5所示,考虑到排气口进水导致汽 车熄火等因素,选取排气口高度为主要评定标准。In Table 4, the assessment of the hazard level of pedestrians and bicycles is based on the water test and experience, and the hazard assessment standard of private cars is based on the investigation of the height of the air intake and exhaust of common models, as shown in Table 5. Water causes the car to stall and other factors, and the height of the exhaust port is selected as the main evaluation standard.

表5.常见车型进气口高度和出气口高度Table 5. Inlet height and outlet height of common models

4、综合考虑各路线上积水深度、路段数与路段长度因素,计算各路线的通行系数θ; 如下式所示:4. Considering the depth of water, the number of road sections and the length of each route, the traffic coefficient θ of each route is calculated; as shown in the following formula:

式中:θ为各路线的通行系数,单位为1;n为各路线的路段数;lx为某一路段的 长度,m;dx为第4时段对应路段的平均积水深度,m。In the formula: θ is the traffic coefficient of each route, and the unit is 1; n is the number of road segments of each route; lx is the length of a road segment, m; dx is the average water depth of the corresponding road segment in the fourth period, m.

5、比较各路线的通行系数,判断通行系数最小的路线,将其作为最佳引导路线。5. Compare the traffic coefficients of each route, determine the route with the smallest traffic coefficient, and use it as the best guiding route.

第七步:整合用户出行的最佳引导路线与该路线上的积水信息,反馈至移动端用户, 完成路线引导,不同出行方式的最佳引导路线见图7。Step 7: Integrate the best guiding route for the user's travel and the water accumulation information on the route, and feed it back to the mobile terminal user to complete the route guidance. The best guiding route for different travel modes is shown in Figure 7.

Claims (9)

1.一种基于道路积水预测的城市路线引导方法,其特征在于,该方法包括以下步骤:1. an urban route guidance method based on road water accumulation prediction, is characterized in that, this method comprises the following steps: 步骤1:采集待分析区域下垫面与管网数据,进行待分析区域的坡度坡向分析和管网概化;Step 1: Collect the data of the underlying surface and the pipe network in the area to be analyzed, and carry out the analysis of the slope and aspect of the area to be analyzed and the generalization of the pipe network; 步骤2:按单一性三原则划分水文模型的子汇水区,结合管网构建城市道路积水模型,与电子地图建立坐标转换关系;Step 2: Divide the sub-catchments of the hydrological model according to the three principles of singleness, build an urban road water accumulation model in combination with the pipe network, and establish a coordinate conversion relationship with the electronic map; 步骤3:结合待分析区域的历史降雨数据筛选特征性降雨过程,设计不同重现期下的降雨过程作为模拟降雨条件,结合步骤2中道路积水模型进行道路积水信息模拟,计算不同设计降雨过程下道路积水深度;Step 3: Combine the historical rainfall data of the area to be analyzed to screen the characteristic rainfall processes, design the rainfall processes under different return periods as the simulated rainfall conditions, and combine the road water accumulation model in step 2 to simulate the road water accumulation information, and calculate the rainfall for different designs. Depth of road water accumulation under the process; 步骤4:记录实时降水过程,根据趋势相似性与设计降雨过程进行数值分析和趋势匹配,遴选出预测降雨过程,取其道路积水模拟数据作为积水信息预测结果,并依据实时降雨条件变化逐时段修正,用于下述步骤中积水通行系数计算;Step 4: Record the real-time precipitation process, carry out numerical analysis and trend matching according to the trend similarity and the design rainfall process, select the predicted precipitation process, take the road water accumulation simulation data as the precipitation information prediction result, and calculate the precipitation information one by one according to the change of real-time precipitation conditions. Time period correction, used in the calculation of stagnant water passing coefficient in the following steps; 步骤5:接受移动端用户引导请求,上传选定的起始点至在线电子地图平台,获取所有可行的出行方案;Step 5: Accept the mobile terminal user guidance request, upload the selected starting point to the online electronic map platform, and obtain all feasible travel plans; 步骤6:获取用户请求时的降雨过程发生的对应时段,结合步骤4中道路积水预测结果,取该时段的道路积水数据,计算各方案积水通行系数并比较判断,将积水通行系数最小的方案作为各出行方式下最佳引导路线;Step 6: Obtain the corresponding time period of the rainfall process at the time of the user's request, and combine the road water accumulation prediction result in step 4, obtain the road water accumulation data in this period, calculate the water accumulation passage coefficient of each scheme, compare and judge, and calculate the accumulation water passage coefficient. The smallest solution is used as the best guiding route for each travel mode; 步骤7:整合最佳出行方案与积水信息,反馈至移动端用户,完成路线引导。Step 7: Integrate the best travel plan and water accumulation information, and feed it back to the mobile terminal users to complete the route guidance. 2.根据权利要求1所述的一种基于道路积水预测的城市路线引导方法,其特征在于,所述步骤2中所述划分子汇水区的单一性三原则具体为:(1)下垫面单一性原则:控制边界使同一子汇水区内只存在一种下垫面类型;(2)坡向单一性原则:指在(1)的条件下,控制边界使任一子汇水区内的坡向一致;(3)坡度单一性原则:指在(2)的条件下,控制边界使子汇水区对应的实际地形坡度值变化在内,为各子汇水区内的平均坡度值。2. A kind of urban route guidance method based on road water accumulation prediction according to claim 1, it is characterized in that, described in described step 2, the three principles of singleness of sub-catchment division are specifically: (1) the following The principle of singleness of surface: control the boundary so that there is only one type of underlying surface in the same subcatchment; (2) principle of singleness of slope aspect: under the conditions of (1), control the boundary to make any subcatchment exist The slope aspect in the area is consistent; (3) the principle of slope unity: it means that under the conditions of (2), the control boundary makes the actual terrain slope value corresponding to the subcatchment change within Inside, is the average slope value in each subcatchment. 3.根据权利要求1所述的一种基于道路积水预测的城市路线引导方法,其特征在于,所述步骤2中构建城市道路积水模型的具体步骤为:(1)根据下垫面类型,将划分后的子汇水区贴上标签以进行区分,并设置坡度、渗透性面积比例、曼宁n值、渗透速率参数值;(2)概化管网模型,确定人工口分布后,根据管流流向连接人工口,设置人工口和管道的各项参数;(3)根据坡向判断径流流向,建立子汇水区和子汇水区、子汇水区和人工口的汇流关系。3. a kind of urban route guidance method based on road water accumulation prediction according to claim 1, is characterized in that, the concrete step of constructing urban road water accumulation model in described step 2 is: (1) according to the type of underlying surface , label the divided subcatchments to distinguish them, and set the slope, permeability area ratio, Manning's n value, and parameter value of infiltration rate; (2) generalize the pipe network model, after determining the distribution of artificial ports, Connect the artificial mouth according to the flow direction of the pipe, and set the parameters of the artificial mouth and the pipeline; (3) Judge the runoff flow direction according to the slope aspect, and establish the confluence relationship between the sub-catchment area and the sub-catchment area, and the sub-catchment area and the artificial mouth. 4.根据权利要求1或2或3所述的一种基于道路积水预测的城市路线引导方法,其特征在于,步骤2中建立坐标转换关系的具体步骤为:(1)选择电子地图上一点为参照点A,点A的经纬度为参照经纬度;(2)选择道路积水模型上与A点相对应的位置,设为模型坐标原点O;(3)多参数法进行经纬度与道路积水模型的二维平面坐标变换;(4)根据点A和点O的平面坐标,建立(3)中两坐标体系的换算关系。4. a kind of urban route guidance method based on road water accumulation prediction according to claim 1 or 2 or 3, is characterized in that, the concrete step of establishing coordinate conversion relation in step 2 is: (1) select a point on the electronic map is the reference point A, and the latitude and longitude of point A is the reference latitude and longitude; (2) Select the position corresponding to point A on the road water model and set it as the model coordinate origin O; (3) Multi-parameter method to carry out the longitude and latitude and road water model (4) According to the plane coordinates of point A and point O, establish the conversion relationship between the two coordinate systems in (3). 5.根据权利要求4所述的一种基于道路积水预测的城市路线引导方法,其特征在于,步骤3中筛选特征性降雨过程,特征性降雨过程需同时满足典型暴雨的以下三种特征:(1)雨量上至少达到暴雨等级,即24小时降雨量大于L毫米的降雨量;(2)存在主雨峰,指在完整降雨过程中存在最大瞬间降雨强度,其值不小于Xmm/min;(3)主雨峰靠后,指在完整降雨过程中峰值比例大于0.5。5. a kind of urban route guidance method based on road water accumulation prediction according to claim 4, is characterized in that, in step 3, screening characteristic rainfall process, characteristic rainfall process needs to satisfy the following three kinds of characteristics of typical rainstorm simultaneously: (1) The rainfall at least reaches the rainstorm level, that is, the rainfall in 24 hours is greater than L mm; (2) There is a main rain peak, which means that there is a maximum instantaneous rainfall intensity in the complete rainfall process, and its value is not less than Xmm/min; (3) The main rain peak is behind, which means that the peak ratio is greater than 0.5 in the complete rainfall process. 6.根据权利要求5所述的一种基于道路积水预测的城市路线引导方法,其特征在于,步骤3中设计不同重现期下降雨过程的设计方法具体为:取符合特征的历史降雨,根据同倍比放大法得到设计降雨过程,同倍比放大系数公式如下:6. a kind of urban route guidance method based on road water accumulation prediction according to claim 5, is characterized in that, in step 3, the design method of designing rainfall process under different return periods is specifically: take the historical rainfall that accords with characteristic, The designed rainfall process is obtained according to the same magnification method, and the formula of the same magnification factor is as follows: 式中:X特征性降雨为特征性降雨量,mm;X设计为不同重现期下的设计降雨量,mm。In the formula: X characteristic rainfall is the characteristic rainfall, mm; X design is the design rainfall under different return periods, mm. 7.根据权利要求6所述的一种基于道路积水预测的城市路线引导方法,其特征在于,步骤3中计算道路积水深度采用的公式如下:7. a kind of urban route guidance method based on road water accumulation prediction according to claim 6, is characterized in that, in step 3, the formula used for calculating road water accumulation depth is as follows: 式中:Q为地表径流;W为子流域固有宽度,m;S为坡度,%;n为曼宁糙率系数;d为积水平均深度,m;dp为最大洼地蓄水深度,m。Where: Q is the surface runoff; W is the inherent width of the sub-watershed, m; S is the slope, %; n is the Manning roughness coefficient; d is the average depth of the pond water, m; . 8.根据权利要求1或7所述的一种基于道路积水预测的城市路线引导方法,其特征在于,步骤4中趋势相似性判断规则及步骤具体包括:8. a kind of urban route guidance method based on road water accumulation prediction according to claim 1 or 7, is characterized in that, in step 4, trend similarity judgment rule and step specifically comprise: 步骤4.1:采集实时降雨过程的逐时段降雨量为数列{PR},实时降雨量累加值为数列{PT},则有公式:Step 4.1: The period-by-period rainfall of the real-time rainfall process is the sequence {P R }, and the cumulative value of the real-time rainfall is the sequence {P T }, then there is the formula: 式中:PTi为前i时段内实时降雨量累加值;PRi为第i时段实时降雨量;kRi为第i时段实时变化系数;Δt为降雨时间记录步长;In the formula: P Ti is the accumulated value of real-time rainfall in the previous i period; P Ri is the real-time rainfall in the i-th period; k Ri is the real-time variation coefficient in the i-th period; Δt is the rainfall time recording step; 步骤4.2:令步骤3中设计降雨过程的逐时段降雨量为数列{P′R},设计降雨量累加值为数列{P′T},则有公式:Step 4.2: Let the period-by-period rainfall of the designed rainfall process in step 3 be the sequence {P′ R }, and the accumulated value of the designed rainfall is the sequence {P′ T }, then there is the formula: 式中:P′Ti为前i时段内设计降雨量累加值;P′Ri为第i时段设计降雨量;k′Ri为第i时段实时变化系数;Δt为降雨时间记录步长;In the formula: P′ Ti is the accumulated value of the design rainfall in the previous i period; P′ Ri is the design rainfall in the ith period; k′ Ri is the real-time variation coefficient of the ith period; Δt is the rainfall time recording step; 步骤4.3:i=0,令实时降雨量逐时数列初始值PR0=0;即第0时段未发生降雨,i=i+1;Step 4.3: i=0, let the initial value of the hourly series of real-time rainfall P R0 =0; that is, no rainfall occurs in the 0th period, i=i+1; 步骤4.4:判断PRi实测值,若PRi≥6,则发生强降雨,进行下一步骤;若PRi<6,则发生中小型降雨,未达到积水阈值,i=i+1,重复步骤4.4;Step 4.4: Determine the measured value of P Ri , if P Ri ≥ 6, then heavy rainfall occurs, and go to the next step; if P Ri <6, then small and medium rainfall occurs, and the water accumulation threshold is not reached, i=i+1, repeat Step 4.4; 步骤4.5:计算PTi,在相同的降雨发生时长下,筛选所有符合P′Ti∈(PTi-i,PTi+i)条件的设计降雨过程作为备选降雨过程;Step 4.5: Calculate P Ti , and select all design rainfall processes that meet the conditions of P' Ti ∈ (P Ti -i, P Ti +i) as alternative rainfall processes under the same rainfall occurrence duration; 步骤4.6:定义某备选降雨过程的前i时段内变化系数最大值k′Rimax=k′i,则对于不同的备选降雨过程j,有前i时段内变化系数最大值数列{k′ij};计算实时降雨过程变化系数数列{kR},并令ki=max({kR}),取|ki-k′ij|min代表的备选降雨过程作为前i个时段的预测降雨过程;Step 4.6: Define the maximum value of variation coefficient k′ Rimax = k′ i in the first i period of a certain candidate rainfall process, then for different candidate rainfall processes j, there is a sequence of the maximum variation coefficient within the first i period {k′ ij }; Calculate the real-time rainfall process variation coefficient sequence {k R }, and set k i =max({k R }), and take the alternative rainfall process represented by | ki -k′ ij | min as the forecast for the first i time periods rainfall process; 步骤4.7:i=i+1,若监测到PRi>0,则重复步骤4.5和4.6,每重复一次,便更新一次预测结果;若PRi=0,则降雨停止,过程结束。Step 4.7: i=i+1, if P Ri >0 is monitored, repeat steps 4.5 and 4.6, and update the prediction result every time it is repeated; if P Ri =0, the rainfall stops and the process ends. 9.根据权利要求8所述的一种基于道路积水预测的城市路线引导方法,其特征在于,步骤6具体包括以下步骤:9. a kind of urban route guidance method based on road water accumulation prediction according to claim 8, is characterized in that, step 6 specifically comprises the following steps: 步骤6.1:在道路积水模型中根据坐标对应关系逐一对应可行性路线;Step 6.1: Corresponding feasible routes one by one according to the coordinate correspondence in the road water model; 步骤6.2:按不同的可行路线,结合步骤4的道路积水预测结果,取实时降雨对应时段的积水数据,将其所有路段的积水数据由起点向终点汇总成表;Step 6.2: According to different feasible routes, combined with the road water accumulation prediction results in step 4, take the water accumulation data of the corresponding period of real-time rainfall, and summarize the water accumulation data of all road sections from the starting point to the end point into a table; 步骤6.3:定义不同出行方式的涉水深度危险等级,排除不同出行方式下存在涉水风险的路线;Step 6.3: Define the wading depth danger level of different travel modes, and exclude routes with water wading risks under different travel modes; 步骤6.4:综合各路线上积水深度、路段数与路段长度因素,计算各路线的积水通行系数θ;如下式所示:Step 6.4: Calculate the stagnant water passing coefficient θ of each route based on the factors of the depth of water, the number of road sections and the length of each route; as shown in the following formula: 式中:θ为各路线的积水通行系数,量纲为1;n为各路线的路段数;lx为某一路段的长度,m;dx为第i时段对应路段的平均积水深度,m;In the formula: θ is the stagnant water passage coefficient of each route, and the dimension is 1; n is the number of road sections of each route; lx is the length of a certain road section, m; dx is the average ponding depth of the corresponding road section in the i-th period , m; 步骤6.5:比较各路线的积水通行系数,选择通行系数最小的路线作为最佳引导路线。Step 6.5: Compare the stagnant water passing coefficients of each route, and select the route with the smallest passing coefficient as the best guiding route.
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