CN115905963A - A flood forecasting method and system based on support vector machine model - Google Patents
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Abstract
Description
技术领域Technical Field
本发明属于径流预报领域,具体涉及一种基于支持向量机模型的洪水预报方法及系统。The invention belongs to the field of runoff forecasting, and in particular relates to a flood forecasting method and system based on a support vector machine model.
背景技术Background Art
近年来,机器学习模型得到了快速发展,被广泛应用于洪水变量预测和洪水敏感性评价中。由于机器学习模型的构建不需要大量数据,因此基于机器学习的方法在预测洪水变量方面具有一定优势。在此前的相关研究中,机器学习模型已被成功地用于预测洪水变量的相关问题。In recent years, machine learning models have developed rapidly and have been widely used in flood variable prediction and flood sensitivity assessment. Since the construction of machine learning models does not require a large amount of data, machine learning-based methods have certain advantages in predicting flood variables. In previous related studies, machine learning models have been successfully used to predict flood variable-related problems.
SCS-CN模型是美国农业部所开发的概念性模型,仅需曲线数和初损率两个参数即可预测径流量。因其所需输入数据较少、模型结构相对简单以及预测精度较高等特点,广泛应用于估算小流域降雨事件的地表径流。但该模型是基于美国流域径流资料而开发的概念性模型,应用于不同气候类型下的研究区时,需要综合考虑当地的植被、地形、土壤等因素。经国内学者的不断改进,SCS-CN模型在国内流域已取得较好效果,但传统的SCS-CN模型仅有产流模块,未包含汇流模块,因此,当降雨发生后,不能绘制流域出口断面流量的变化趋势。The SCS-CN model is a conceptual model developed by the United States Department of Agriculture. It only requires two parameters, the number of curves and the initial loss rate, to predict runoff. Because it requires less input data, has a relatively simple model structure, and has high prediction accuracy, it is widely used to estimate surface runoff from rainfall events in small watersheds. However, this model is a conceptual model developed based on runoff data from U.S. watersheds. When applied to research areas under different climate types, it is necessary to comprehensively consider local vegetation, topography, soil and other factors. After continuous improvements by domestic scholars, the SCS-CN model has achieved good results in domestic watersheds, but the traditional SCS-CN model only has a runoff generation module and does not include a confluence module. Therefore, when rainfall occurs, the changing trend of the flow at the outlet section of the watershed cannot be drawn.
大多数的概念性水文模型把流域作为一个整体,研究降雨事件发生后,整个流域产流机制的运转和变化。由于概念性水文模型不具备计算流域单元格的能力,当降雨空间分布不均匀时,容易导致概念性水文模型所预测的洪峰时间与实际洪峰时间出现较大偏差,尤其发生在流域呈狭长状或流域面积较大的研究区。Most conceptual hydrological models treat the basin as a whole and study the operation and changes of the runoff generation mechanism of the entire basin after a rainfall event. Since conceptual hydrological models do not have the ability to calculate basin cells, when the spatial distribution of rainfall is uneven, it is easy to cause a large deviation between the peak flood time predicted by the conceptual hydrological model and the actual peak flood time, especially in the study area where the basin is long and narrow or the basin area is large.
发明内容Summary of the invention
针对现有技术的不足,本发明的目的在于提供一种基于支持向量机模型的洪水预报方法及系统。In view of the deficiencies of the prior art, the object of the present invention is to provide a flood forecasting method and system based on a support vector machine model.
本发明的目的可以通过以下技术方案实现:The purpose of the present invention can be achieved through the following technical solutions:
一种基于支持向量机模型的洪水预报方法,包括以下步骤:A flood forecasting method based on a support vector machine model comprises the following steps:
S1,收集研究区的水文气象数据;S1, collect hydrological and meteorological data of the study area;
S2,依据收集到的水文气象数据,来确定SCS-CN模型的产流模块参数CN值;S2, based on the collected hydrological and meteorological data, determine the CN value of the flow generation module parameter of the SCS-CN model;
S3,利用降雨特征因子和产流模块参数CN值,来改进SCS-CN模型产流模块;S3, using rainfall characteristic factors and runoff module parameter CN value to improve the runoff module of SCS-CN model;
S4,通过耦合S3改进的产流模块和三水源汇流模块,建立SCS-CN三水源汇流模型;S4, by coupling the improved flow generation module of S3 and the three-water source confluence module, the SCS-CN three-water source confluence model is established;
S5,通过支持向量机模型构建动态汇流滞时参数,来改进SCS-CN三水源汇流模型;S5, constructing dynamic confluence hysteresis parameters through support vector machine model to improve the SCS-CN three-source confluence model;
S6,利用实测降雨数据预报流域出口断面的洪水过程线。S6, use the measured rainfall data to predict the flood process line of the basin outlet section.
进一步地,所述S1中收集的水文气象数据包括:降雨强度、径流、土壤类型和土地利用类型。Furthermore, the hydrological and meteorological data collected in S1 include: rainfall intensity, runoff, soil type and land use type.
进一步地,所述S2中,确定产流模块参数的步骤为:Furthermore, in S2, the step of determining the flow generation module parameters is:
S21,通过研究区的土壤类型数据确定水文土壤组,并按照下渗能力划分;在Arcgis平台上对研究区域的土地利用类型重取样,使其与每种土壤类型下的网格相匹配,计算每个网格中的CN值,再对每个栅格的CN值进行加权平均,最终确定流域综合CN值;S21, determine the hydrological soil group through the soil type data of the study area and divide it according to the infiltration capacity; resample the land use type of the study area on the ArcGIS platform to match it with the grid under each soil type, calculate the CN value in each grid, and then perform weighted average of the CN value of each grid to finally determine the comprehensive CN value of the basin;
S22,依据前5天总降雨量把土壤湿度条件划分为干旱、正常和湿润三个等级;并采用K-mean均值聚类重新划分土壤湿润条件的区间,前5天总降雨量即为前期影响雨量,且阈值设置为120mm;S22, based on the total rainfall in the previous five days, the soil moisture conditions were divided into three levels: dry, normal and wet. K-mean clustering was used to re-divide the interval of soil moisture conditions. The total rainfall in the previous five days was the previous influencing rainfall, and the threshold was set to 120 mm.
S23,依据研究区实际土壤湿度条件对CN值进行换算处理,对CN1、CN2和CN3之间的突变间距进行插值处理,得到不同前期影响雨量下的CN值。S23, the CN value is converted according to the actual soil moisture conditions in the study area, and the mutation intervals between CN 1 , CN 2 and CN 3 are interpolated to obtain the CN values under different antecedent rainfall.
进一步地,S3中,SCS-CN产流模型的改进是在原SCS-CN模型的基础上,添加降雨特征因子的影响,具体步骤为:Furthermore, in S3, the improvement of the SCS-CN runoff model is to add the influence of rainfall characteristic factors on the basis of the original SCS-CN model. The specific steps are as follows:
S31,在产流模块中,前期降雨需要补充流域初始缺水量,若总降雨量不满足初始缺水量,流域不产流,场次降雨所形成的径流量计算公式为:S31, in the runoff module, the previous rainfall needs to supplement the initial water shortage of the basin. If the total rainfall does not meet the initial water shortage, the basin will not produce runoff. The calculation formula for the runoff generated by the rainfall is:
式中:P为总降雨量,mm;Q为地表径流量,mm;Ia为初损量,mm;S为潜在蓄水能力,mm;Where: P is the total rainfall, mm; Q is the surface runoff, mm; Ia is the initial loss, mm; S is the potential water storage capacity, mm;
S32,初损量和潜在蓄水能力计算公式为:S32, the calculation formula for initial loss and potential water storage capacity is:
Ia=λS (2)I a = λS (2)
式中:λ为初损率;CN是一个无量纲的参数;Where: λ is the initial loss rate; CN is a dimensionless parameter;
S33,在产流模块中添加降雨强度等特征因子,修订后的产流计算式子如下:S33, add characteristic factors such as rainfall intensity in the runoff generation module, and the revised runoff calculation formula is as follows:
式中:I60为场次降雨过程中最大60min雨强,mm/h;为场次降雨的平均雨强,mm/h;β为雨强修正参数;为降雨特征因子的综合体现。Where: I 60 is the maximum 60-min rainfall intensity during the rainfall event, mm/h; is the average rainfall intensity of the rainfall event, mm/h; β is the rainfall intensity correction parameter; It is a comprehensive reflection of rainfall characteristic factors.
进一步地,S4中,通过SCS-CN产流模块可得到研究区径流深的过程曲线,对其进行差分处理可得到每个时段研究区产生的径流深,再把其输入到三水源汇流模块进行汇流计算。Furthermore, in S4, the process curve of the runoff depth in the study area can be obtained through the SCS-CN runoff generation module, and the runoff depth generated in the study area in each period can be obtained by differential processing, and then input into the three water source confluence module for confluence calculation.
进一步地,所述三水源指:地面径流、壤中流和地下径流,且通过抛物线自由蓄水曲线和自由水蓄水库来划分。Furthermore, the three water sources refer to: surface runoff, subsoil flow and underground runoff, and are divided by parabolic free water storage curves and free water reservoirs.
进一步地,所述汇流计算中,地表水汇流计算采用单位线法,利用单位线把流域模拟为n个线性水库的串联;壤中流和地下径流的汇流计算均采用线性水库法;河网汇流采用滞后演算法,其计算公式为:Furthermore, in the above-mentioned confluence calculation, the surface water confluence calculation adopts the unit line method, using the unit line to simulate the watershed as a series connection of n linear reservoirs; the confluence calculation of subsoil flow and groundwater runoff adopts the linear reservoir method; the river network confluence adopts the hysteresis algorithm, and its calculation formula is:
Q3(I)=CS×Q3(I-1)+(1-CS)×QT3(I-L) (5)Q3(I)=CS×Q3(I-1)+(1-CS)×QT3(I-L) (5)
QT3(I-L)=QS(I-L)+QG(I-L)+QI(I-L) (6)QT3(I-L)=QS(I-L)+QG(I-L)+QI(I-L) (6)
式中:Q3(I)为第I个时段的单元面积河网汇流量,m3/s;CS为河网水流消退系数;L为汇流滞时参数,h;QS地面径流,m3/s;QG地下径流,m3/s;QI壤中流,m3/s;QT3(I-L)为第I-L个时段地面径流、地下径流和壤中流的总和,m3/s。Where: Q3(I) is the unit area river network runoff in the Ith period, m3 /s; CS is the river network flow recession coefficient; L is the runoff hysteresis parameter, h; QS is the surface runoff, m3 /s; QG is the groundrunoff, m3 /s; QI is the soil flow, m3 /s; QT3(IL) is the sum of the surface runoff, groundrunoff and soil flow in the ILth period, m3 /s.
进一步地,S5中,所述动态汇流滞时参数的回归变量包括:研究区降雨中心距流域断面的长度、降雨中心坡度、总降雨、前期影响雨量和总河道长;动态汇流滞时参数的回归函数f(x)为:Further, in S5, the regression variables of the dynamic confluence hysteresis parameters include: the length of the rainfall center in the study area from the basin section, the slope of the rainfall center, the total rainfall, the previous impact rainfall and the total river length; the regression function f(x) of the dynamic confluence hysteresis parameters is:
式中:(αi,αi *)为拉格朗日乘子;b为偏置;K(x,xi)为从输入空间到高位特征空间的径向基函数,即为核函数;σ为径向基函数的扩展常数,表示函数的径向作用范围。Where: (α i ,α i * ) is the Lagrange multiplier; b is the bias; K(x, xi ) is the radial basis function from the input space to the high-order feature space, that is, the kernel function; σ is the expansion constant of the radial basis function, which represents the radial range of the function.
进一步地,S6中,首先,将实测降雨数据以及S2、S3、S4的产汇流参数输入S4中的SCS-CN三水源汇流模型,得到研究区每个计算网格的径流量,再把径流量输入到S5所改进后的三水源汇流模型,即可得到流域出口断面的洪水过程线。Furthermore, in S6, first, the measured rainfall data and the runoff parameters of S2, S3, and S4 are input into the SCS-CN three-water source confluence model in S4 to obtain the runoff of each calculation grid in the study area, and then the runoff is input into the improved three-water source confluence model in S5 to obtain the flood process line of the basin outlet section.
一种基于支持向量机模型的洪水预报系统,包括:A flood forecasting system based on a support vector machine model, comprising:
数据采集单元:收集研究区的水文气象数据;Data collection unit: collects hydrological and meteorological data of the study area;
产流模块参数求解单元:依据收集到的水文气象数据,来确定SCS-CN模型的产流模块参数CN值;Runoff module parameter solving unit: Determine the CN value of the runoff module parameter of the SCS-CN model based on the collected hydrological and meteorological data;
产流模块改进单元:利用降雨特征因子和产流模块参数CN值,来改进SCS-CN模型产流模块;Runoff module improvement unit: Use rainfall characteristic factors and runoff module parameter CN values to improve the runoff module of the SCS-CN model;
SCS-CN三水源汇流模型构建单元:通过耦合改进的产流模块和三水源汇流模块,建立SCS-CN三水源汇流模型;SCS-CN three-water source confluence model construction unit: by coupling the improved flow generation module and the three-water source confluence module, the SCS-CN three-water source confluence model is established;
SCS-CN三水源汇流模型改进单元:通过支持向量机模型构建动态汇流滞时参数,来改进SCS-CN三水源汇流模型;SCS-CN three-water source confluence model improvement unit: Improve the SCS-CN three-water source confluence model by constructing dynamic confluence hysteresis parameters through the support vector machine model;
洪水预报单元:利用实测降雨数据预报流域出口断面的洪水过程线;Flood forecasting unit: forecast flood process lines at the outlet section of the basin using measured rainfall data;
本发明的有益效果:Beneficial effects of the present invention:
1.本发明通过采用K-mean均值聚类分析重新划分了前期土壤湿度条件的划分区间,并采用三次线性插值得到不同前期影响雨量下的CN值。并考虑了降雨强度、平均雨强等降雨特征因子的影响,解决了原产流模块中未考虑降雨强度的问题,提高了模型在气候比较干旱地区时的预测能力;1. The present invention re-divides the division interval of the previous soil moisture conditions by using K-mean mean cluster analysis, and uses cubic linear interpolation to obtain the CN value under different previous influencing rainfall. The influence of rainfall characteristic factors such as rainfall intensity and average rainfall intensity is considered, which solves the problem that the rainfall intensity is not considered in the original runoff module, and improves the prediction ability of the model in relatively arid climate areas;
2.本发明利用支持向量机模型构建了动态流域汇流滞时参数,考虑场次降雨空间分布情况、前期降雨和下垫面条件等因素,以降低由于降雨空间分布不均匀而导致水文模型出现预测偏差的风险,提高了水文模型预测洪峰时间的能力,同时在一定程度上缓解概念性水文模型在预测过程的不足和缺陷,可为概念性水文模型在运用于复杂研究流域时提供一种解决方法;2. The present invention uses the support vector machine model to construct dynamic basin runoff hysteresis parameters, taking into account factors such as the spatial distribution of rainfall events, previous rainfall and underlying surface conditions, so as to reduce the risk of prediction deviation of the hydrological model due to uneven spatial distribution of rainfall, improve the ability of the hydrological model to predict the peak time, and alleviate the deficiencies and defects of the conceptual hydrological model in the prediction process to a certain extent, which can provide a solution for the conceptual hydrological model when it is applied to complex research basins;
3.本发明通过耦合SCS-CN产流模块与三水源汇流模块,得到流域出口断面的洪水过程线,且SCS-CN三水源汇流模型在模拟洪峰流量和洪峰时间方面精度较高,扩大了SCS-CN模型的应用范围。3. The present invention obtains the flood process line of the basin outlet section by coupling the SCS-CN flow generation module and the three-water source confluence module. The SCS-CN three-water source confluence model has high accuracy in simulating peak flow and peak time, which expands the application scope of the SCS-CN model.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings required for use in the embodiments or the description of the prior art will be briefly introduced below. Obviously, for ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.
图1为洪水预报方法的步骤流程图;FIG1 is a flow chart of the steps of a flood forecasting method;
图2为某村流域站点分布示意图;Figure 2 is a schematic diagram of the distribution of watershed stations in a village;
图3为某村流域土地利用(左)和土壤类型(右)分布图;Figure 3 shows the distribution of land use (left) and soil types (right) in a village watershed;
图4为基于支持向量机模型的动态汇流滞时参数模拟图;FIG4 is a simulation diagram of dynamic confluence hysteresis parameters based on the support vector machine model;
图5为SCS-CN三水源汇流模型部分场次模拟结果。Figure 5 shows the simulation results of some events of the SCS-CN three-source confluence model.
具体实施方式DETAILED DESCRIPTION
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有作出创造性劳动前提下所获得的所有其它实施例,都属于本发明保护的范围。The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.
如图1所示,一种基于支持向量机模型的洪水预报方法包括以下步骤:As shown in FIG1 , a flood forecasting method based on a support vector machine model includes the following steps:
S1,收集研究区的水文气象数据;包括降雨强度、径流、土壤类型和土地利用类型等数据。S1. Collect hydrological and meteorological data of the study area; including data on rainfall intensity, runoff, soil type and land use type.
S2,依据研究区的土壤类型和土地利用类型等相关数据确定SCS-CN模型的产流模块参数;具体步骤为:S2, determine the runoff module parameters of the SCS-CN model based on relevant data such as soil type and land use type in the study area; the specific steps are:
S21,通过研究区的土壤质地、土壤下渗率等参数确定水文土壤组,水文土壤组可分为A、B、C和D四类,其下渗能力依次降低。在Arcgis平台上对研究区域的土地利用类型重取样,使其与每种土壤类型下的网格相匹配,计算每个网格中的CN(Curve Number)值,再对每个栅格的CN值进行加权平均,最终确定流域综合CN值(土壤湿度为正常)。S21, the hydrological soil group is determined by the soil texture, soil infiltration rate and other parameters in the study area. The hydrological soil group can be divided into four categories: A, B, C and D, and their infiltration capacity decreases in turn. The land use type of the study area is resampled on the ArcGIS platform to match it with the grid under each soil type, and the CN (Curve Number) value in each grid is calculated. The CN value of each grid is then weighted averaged to finally determine the comprehensive CN value of the basin (soil moisture is normal).
S22,SCS-CN模型依据前5天总降雨量把土壤湿度条件(AMC)划分为三个等级,即干旱(AMC1)、正常(AMC2)和湿润(AMC3);S22, the SCS-CN model divides soil moisture conditions (AMC) into three levels, namely, dry (AMC1), normal (AMC2), and wet (AMC3), based on the total rainfall in the previous five days;
前期土壤湿度条件确定的准确性将直接影响着水文模型的预测精度和稳定性,本研究通过统计分析场次洪水前5天总降雨量和适宜CN值之间的关系,并采用K-mean均值聚类重新划分土壤湿润条件的区间,前5天总降雨量即为前期影响雨量,且阈值设置为120mm。The accuracy of determining the previous soil moisture conditions will directly affect the prediction accuracy and stability of the hydrological model. This study statistically analyzed the relationship between the total rainfall in the five days before the flood and the suitable CN value, and used K-mean clustering to re-divide the interval of soil moisture conditions. The total rainfall in the first five days was the previous influencing rainfall, and the threshold was set to 120 mm.
S23,依据研究区实际土壤湿度条件对CN值进行换算处理;由于SCS-CN模型土壤湿度的划定方法存在突变点,因此对CN1、CN2和CN3之间的突变间距进行插值处理,CN1为土壤比较干旱时的CN值,CN2为土壤正常时的CN值(即为S21求得的CN值),而CN3为土壤比较湿润时的CN值。S23, the CN value is converted according to the actual soil moisture conditions in the study area; since there are mutation points in the delineation method of soil moisture in the SCS-CN model, the mutation intervals between CN 1 , CN 2 and CN 3 are interpolated. CN 1 is the CN value when the soil is relatively dry, CN 2 is the CN value when the soil is normal (that is, the CN value obtained by S21), and CN 3 is the CN value when the soil is relatively moist.
S3,采用降雨强度、平均雨强等特征因子改进SCS-CN模型产流模块;S3, using characteristic factors such as rainfall intensity and average rainfall intensity to improve the runoff generation module of the SCS-CN model;
SCS-CN产流模型的改进是在原SCS-CN模型的基础上,添加降雨特征因子的影响;The improvement of SCS-CN runoff model is to add the influence of rainfall characteristic factors on the basis of the original SCS-CN model;
SCS-CN模型是基于水量平衡方程和两个基本假设而建立的经验模型;第一个假设:地表径流量与可能最大径流量的比值等于实际入渗量与潜在蓄水能力;第二个假设:初损量与潜在蓄水能力之间存在一定的比例关系;The SCS-CN model is an empirical model based on the water balance equation and two basic assumptions: the first assumption is that the ratio of surface runoff to the possible maximum runoff is equal to the actual infiltration volume and the potential water storage capacity; the second assumption is that there is a certain proportional relationship between the initial loss and the potential water storage capacity;
在产流模块中,前期降雨需要补充流域初始缺水量,若总降雨量不满足初始缺水量,流域不产流,场次降雨所形成的径流量计算公式为:In the runoff module, the previous rainfall needs to supplement the initial water shortage of the basin. If the total rainfall does not meet the initial water shortage, the basin will not produce runoff. The calculation formula for the runoff generated by the rainfall is:
式中:P为总降雨量;Q为地表径流量;Ia为初损量;S为潜在蓄水能力;初损量和潜在蓄水能力计算公式为:Where: P is the total rainfall; Q is the surface runoff; Ia is the initial loss; S is the potential water storage capacity; the calculation formula for initial loss and potential water storage capacity is:
Ia=λS (2)I a = λS (2)
式中:λ为初损率;CN是一个无量纲的参数,可从S2获得,CN越大,流域产流能力越大,其值与研究区的土地利用类型、植被覆盖类型和前期降雨量等因素有关,同时CN值也是产流模块中比较敏感的参数,CN值的变化将对研究流域的预测结果产生较大影响。Where: λ is the initial loss rate; CN is a dimensionless parameter that can be obtained from S2. The larger the CN, the greater the runoff capacity of the basin. Its value is related to factors such as the land use type, vegetation cover type and previous rainfall in the study area. At the same time, the CN value is also a relatively sensitive parameter in the runoff generation module. Changes in the CN value will have a greater impact on the prediction results of the study basin.
在半干旱地区,土壤水位较低,土壤缺水量较大,一场降雨后,流域可能很难达到田间持水量,降雨强度超过下渗强度才会产流,因此该地区的降雨强度将在产流过程中发挥主要作用。对此,在产流模块中添加降雨强度等特征因子,以提高模型在半干旱地区的预测精度,修订后的产流计算式子如下:In semi-arid areas, the soil water level is low and the soil water shortage is large. After a rainfall, it may be difficult for the basin to reach the field water holding capacity. The rainfall intensity will exceed the infiltration intensity before runoff occurs. Therefore, the rainfall intensity in the area will play a major role in the runoff process. In this regard, characteristic factors such as rainfall intensity are added to the runoff module to improve the prediction accuracy of the model in semi-arid areas. The revised runoff calculation formula is as follows:
式中:I60为场次降雨过程中最大60min雨强,mm/h;为场次降雨的平均雨强,mm/h;β为雨强修正参数,需要通过前期洪水场次的降雨过程进行率定;为总降雨量、降雨强度等降雨特征因子的综合体现。Where: I 60 is the maximum 60-min rainfall intensity during the rainfall event, mm/h; is the average rainfall intensity of the rainfall event, mm/h; β is the rainfall intensity correction parameter, which needs to be calibrated through the rainfall process of the previous flood events; It is a comprehensive reflection of rainfall characteristic factors such as total rainfall and rainfall intensity.
S4,通过耦合S3改进的产流模块和三水源汇流模块,建立SCS-CN三水源汇流模型;S4, by coupling the improved flow generation module of S3 and the three-water source confluence module, the SCS-CN three-water source confluence model is established;
通过SCS-CN产流模块可得到研究区径流深的过程曲线,对其进行差分处理可得到每个时段研究区产生的径流深,再把其输入到三水源汇流模块进行汇流计算;三水源指的是地面径流、壤中流和地下径流,通过抛物线自由蓄水曲线和自由水蓄水库来划分。The process curve of the runoff depth in the study area can be obtained through the SCS-CN runoff generation module. The runoff depth generated in the study area in each period can be obtained by differential processing, and then input into the three-water source confluence module for confluence calculation; the three water sources refer to surface runoff, subsoil flow and underground runoff, which are divided by parabolic free storage curves and free water reservoirs.
在汇流计算中,地表水汇流计算采用单位线法,利用单位线把流域模拟为n个线性水库的串联,壤中流和地下径流的汇流计算均采用线性水库法,河网汇流则采用滞后演算法,其计算公式为:In the confluence calculation, the unit line method is used for surface water confluence calculation. The unit line is used to simulate the watershed as a series of n linear reservoirs. The confluence calculation of subsurface flow and groundwater runoff adopts the linear reservoir method. The hysteresis algorithm is used for river network confluence. The calculation formula is:
Q3(I)=CS×Q3(I-1)+(1-CS)×QT3(I-L) (5)Q3(I)=CS×Q3(I-1)+(1-CS)×QT3(I-L) (5)
QT3(I-L)=QS(I-L)+QG(I-L)+QI(I-L) (6)QT3(I-L)=QS(I-L)+QG(I-L)+QI(I-L) (6)
式中:Q3(I)为第I个时段的单元面积河网汇流量,m3/s;CS为河网水流消退系数;L为汇流滞时参数,h;QS地面径流,m3/s;QG地下径流,m3/s;QI壤中流,m3/s;QT3(I-L)为第I-L个时段地面径流、地下径流和壤中流的总和,m3/s。Where: Q3(I) is the unit area river network runoff in the Ith period, m3 /s; CS is the river network flow recession coefficient; L is the runoff hysteresis parameter, h; QS is the surface runoff, m3 /s; QG is the groundrunoff, m3 /s; QI is the soil flow, m3 /s; QT3(IL) is the sum of the surface runoff, groundrunoff and soil flow in the ILth period, m3 /s.
S5,在S4得到的SCS-CN三水源汇流模型的基础上,通过支持向量机模型构建动态汇流滞时参数,来改进SCS-CN三水源汇流模型;S5, based on the SCS-CN three-water source confluence model obtained in S4, a dynamic confluence hysteresis parameter is constructed through a support vector machine model to improve the SCS-CN three-water source confluence model;
当研究流域存在降雨空间不均匀或流域形状比较狭长时,流域汇流滞时常常发生一定的变化,过去,大多数水文模型的汇流滞时保持不变,这很容易导致水文模型预测的洪峰时间与实际洪峰时间存在较大偏差;When the rainfall in the study basin is spatially uneven or the basin is long and narrow, the basin runoff hysteresis often changes. In the past, the runoff hysteresis of most hydrological models remained unchanged, which easily led to a large deviation between the peak flood time predicted by the hydrological model and the actual peak flood time.
基于该现象,利用支持向量机模型来构建动态汇流滞时参数(L),首先筛选出可能影响流域汇流滞时的因素,然后进行主成分分析,确定主要影响因素,最终回归变量包括研究区降雨中心距流域断面的长度、降雨中心坡度、总降雨、前期影响雨量和总河道长;Based on this phenomenon, the support vector machine model is used to construct the dynamic confluence hysteresis parameter (L). First, the factors that may affect the confluence hysteresis of the basin are screened out, and then the principal component analysis is performed to determine the main influencing factors. The final regression variables include the length of the rainfall center from the study area to the basin section, the slope of the rainfall center, the total rainfall, the previous influencing rainfall and the total river length;
支持向量机实现的基本思想是利用核函数将低维非线性空间映射至高维特征空间,使得低维非线性水文数据在高维空间中可分,经过一系列推导,其回归函数f(x)最终可表示为:The basic idea of the support vector machine is to use the kernel function to map the low-dimensional nonlinear space to the high-dimensional feature space, so that the low-dimensional nonlinear hydrological data can be separated in the high-dimensional space. After a series of derivations, its regression function f(x) can finally be expressed as:
式中:(αi,αi *)为拉格朗日乘子;b为偏置;K(x,xi)为从输入空间到高位特征空间的径向基函数,即为核函数;σ为径向基函数的扩展常数,表示函数的径向作用范围。Where: (α i ,α i * ) is the Lagrange multiplier; b is the bias; K(x, xi ) is the radial basis function from the input space to the high-order feature space, that is, the kernel function; σ is the expansion constant of the radial basis function, which represents the radial range of the function.
通过支持向量机模型构建汇流滞时参数与回归变量的函数关系后,根据实测站点数据和下垫面资料(包括坡度、河道长等)预测该场洪水的汇流滞时参数,然后将其代入式(5)和(6),即可获得改进的SCS-CN三水源汇流模型。After constructing the functional relationship between the confluence lag parameter and the regression variable through the support vector machine model, the confluence lag parameter of the flood is predicted according to the measured site data and the underlying surface data (including slope, river length, etc.), and then it is substituted into equations (5) and (6) to obtain the improved SCS-CN three-source confluence model.
S6,利用实测降雨数据预报流域出口断面的洪水过程线;S6, forecast the flood process line of the outlet section of the basin using the measured rainfall data;
首先,将实测降雨数据以及S2、S3、S4的产汇流参数输入S4中的SCS-CN三水源汇流模型,得到研究区每个计算网格的径流量,再把径流量输入到S5所改进后的三水源汇流模型,即可得到流域出口断面的洪水过程线。Firstly, the measured rainfall data and the runoff parameters of S2, S3 and S4 are input into the SCS-CN three-source confluence model in S4 to obtain the runoff of each calculation grid in the study area. Then the runoff is input into the improved three-source confluence model in S5 to obtain the flood process line of the outlet section of the basin.
一种基于支持向量机模型的洪水预报系统,包括:数据采集单元、产流模块参数求解单元、产流模块改进单元、SCS-CN三水源汇流模型构建单元、SCS-CN三水源汇流模型改进单元以及洪水预报单元;A flood forecasting system based on a support vector machine model, comprising: a data acquisition unit, a flow generation module parameter solving unit, a flow generation module improvement unit, an SCS-CN three-water source confluence model construction unit, an SCS-CN three-water source confluence model improvement unit and a flood forecasting unit;
其中:in:
数据采集单元:收集研究区的水文气象数据;Data collection unit: collects hydrological and meteorological data of the study area;
产流模块参数求解单元:依据收集到的水文气象数据,来确定SCS-CN模型的产流模块参数CN值;Runoff module parameter solving unit: Determine the CN value of the runoff module parameter of the SCS-CN model based on the collected hydrological and meteorological data;
产流模块改进单元:利用降雨特征因子和产流模块参数CN值,来改进SCS-CN模型产流模块;Runoff module improvement unit: Use rainfall characteristic factors and runoff module parameter CN values to improve the runoff module of the SCS-CN model;
SCS-CN三水源汇流模型构建单元:通过耦合改进的产流模块和三水源汇流模块,建立SCS-CN三水源汇流模型;SCS-CN three-water source confluence model construction unit: by coupling the improved flow generation module and the three-water source confluence module, the SCS-CN three-water source confluence model is established;
SCS-CN三水源汇流模型改进单元:通过支持向量机模型构建动态汇流滞时参数,来改进SCS-CN三水源汇流模型;SCS-CN three-water source confluence model improvement unit: Improve the SCS-CN three-water source confluence model by constructing dynamic confluence hysteresis parameters through the support vector machine model;
洪水预报单元:利用实测降雨数据预报流域出口断面的洪水过程线;Flood forecasting unit: forecast flood process lines at the outlet section of the basin using measured rainfall data;
实施例:Example:
下面以某地为具体实施例,来应用上述洪水预报方法:The following is a specific example of applying the above flood forecasting method using a certain place:
研究区位于某村流域,该研究流域示意图如图2所示;该水文站位于水域下游,集水面积745km2,多年平均降雨量500mm左右。该村流域内共有5个雨量站,密度约为149km2/站,流域平均坡度为9.19%,属于温带季风气候和半干旱地区,土地利用类型以耕地和林地为主。The study area is located in a village basin, and the schematic diagram of the study basin is shown in Figure 2; the hydrological station is located downstream of the water area, with a catchment area of 745km2 and an average annual rainfall of about 500mm. There are 5 rainfall stations in the village basin, with a density of about 149km2/station. The average slope of the basin is 9.19%, which belongs to the temperate monsoon climate and semi-arid area, and the land use types are mainly cultivated land and forest land.
获取该村流域1957-2004年(6-9月汛期)的水文气象资料,包括降雨、径流、蒸发和土地利用类型等数据,来源于省水文局,对降雨径流资料三性审查后,最终筛选出25场洪水,其中包括该村水文站历史最大洪水(洪峰流量为4520m3/s,峰值水位57.78m)。The hydrometeorological data of the village basin from 1957 to 2004 (flood season from June to September), including data on rainfall, runoff, evaporation and land use type, were obtained from the Provincial Hydrological Bureau. After reviewing the three properties of the rainfall and runoff data, 25 floods were finally selected, including the largest flood in the history of the village hydrological station (peak flow of 4520m3/s and peak water level of 57.78m).
从地理空间数据云中下载该村流域DEM数据,并在Arcgis软件中进行投影、重采样、填洼、流向提取、流量提取等操作,进而获得研究区的地理空间分布图。再对研究区域内的土地利用类型重采样,使其与每种土壤类型下的网格相匹配。The DEM data of the village watershed was downloaded from the geospatial data cloud, and the projection, resampling, filling, flow direction extraction, and flow extraction were performed in ArcGIS software to obtain the geospatial distribution map of the study area. The land use types in the study area were then resampled to match the grid under each soil type.
依据该村流域的土壤饱和下渗率、最小下渗率和土壤质地等数据,确定该村流域为B类水文土壤组,再通过研究区土地利用类型综合确定研究区初始CN值(土壤湿度为正常)。土壤数据来源于FAO世界土壤类型数据库,空间分辨率为1000m*1000m,土地利用数据来源于全球地表覆盖产品(GlobeLand30),空间分辨率为30m*30m,其分布见图3。Based on the soil saturated infiltration rate, minimum infiltration rate and soil texture data of the village watershed, the village watershed was determined to be Class B hydrological soil group, and then the initial CN value of the study area was determined by the land use type of the study area (soil moisture is normal). The soil data comes from the FAO World Soil Type Database with a spatial resolution of 1000m*1000m, and the land use data comes from the global land cover product (GlobeLand30) with a spatial resolution of 30m*30m. Their distribution is shown in Figure 3.
SCS-CN模型依据前5天总降雨量来确定土壤湿润条件,可能会出现突变的地方,因此,本文对原模型土壤湿润条件划分区间采用K-mean均值聚类重新划分,并对CN1、CN2和CN3之间的突变间距进行插值处理,CN1为土壤比较干旱时的CN值,而CN3为土壤比较湿润时的CN值,不同前期影响雨量下研究区的CN取值见表1:The SCS-CN model determines soil moisture conditions based on the total rainfall in the previous five days, and there may be places with mutations. Therefore, this paper re-divides the soil moisture condition division interval of the original model using K-mean mean clustering, and interpolates the mutation intervals between CN 1 , CN 2, and CN 3. CN 1 is the CN value when the soil is relatively dry, and CN 3 is the CN value when the soil is relatively wet. The CN values of the study area under different previous rainfall influencing the area are shown in Table 1:
表1.SCS-CN模型CN值取值Table 1. CN value of SCS-CN model
在确定不同场次的CN值后,场次径流量可由下式计算:After determining the CN value of different sessions, the session runoff can be calculated by the following formula:
式中:P为总降雨量,mm;Q为地表径流量,mm;Ia为初损量,mm;S为潜在蓄水能力,mm。Where: P is the total rainfall, mm; Q is the surface runoff, mm; Ia is the initial loss, mm; S is the potential water storage capacity, mm.
而产流模块中的初损量和潜在蓄水能力可采用下式求得:The initial loss and potential water storage capacity in the runoff module can be obtained using the following formula:
Ia=λS (2)I a = λS (2)
式中:λ为初损率。Where: λ is the initial loss rate.
在半干旱地区,土壤水位较低,土壤缺水量较大,一场降雨后,流域可能很难达到田间持水量,降雨强度超过下渗强度才会产流,对此,需要在产流模块中添加降雨强度等特征因子,以提高模型在该村流域的预测精度,修订后的产流计算式为:In semi-arid areas, the soil water level is low and the soil water shortage is large. After a rainfall, it may be difficult for the basin to reach the field water holding capacity. Only when the rainfall intensity exceeds the infiltration intensity will runoff occur. For this reason, it is necessary to add characteristic factors such as rainfall intensity to the runoff module to improve the prediction accuracy of the model in the village basin. The revised runoff calculation formula is:
式中:I60为场次降雨过程中最大60min雨强,mm/h;为场次降雨的平均雨强,mm/h;β为雨强修正参数;为总降雨量、降雨强度等降雨特征因子的综合体现。Where: I 60 is the maximum 60-min rainfall intensity during the rainfall event, mm/h; is the average rainfall intensity of the rainfall event, mm/h; β is the rainfall intensity correction parameter; It is a comprehensive reflection of rainfall characteristic factors such as total rainfall and rainfall intensity.
通过以上步骤即可得到研究区径流深的过程曲线,对其进行差分处理可得到每个时段该村流域所产生的径流深,再输入到三水源汇流模块进行汇流计算。Through the above steps, the process curve of runoff depth in the study area can be obtained. Differential processing can be performed to obtain the runoff depth generated by the village basin in each period, and then input it into the three water source confluence module for confluence calculation.
潜在蓄水能力与CN值经验关系式的常数项(B)和初损率对产流模块有一定影响,因此,在本次实例中,对产流模块里的潜在蓄水能力与CN值经验关系式的常数项和初损率进行率定,同时也对汇流模块里的敏感参数KI、KG、CS、CI、CG、SM进行率定,采用1957-1979年16场洪水进行模型参数的率定,其余9场洪水进行模型的验证,参数率定结果见表2,场次模拟结果见表3:The constant term (B) and the initial loss rate of the empirical relationship between potential water storage capacity and CN value have a certain impact on the runoff module. Therefore, in this example, the constant term and the initial loss rate of the empirical relationship between potential water storage capacity and CN value in the runoff module are calibrated. At the same time, the sensitive parameters KI, KG, CS, CI, CG, and SM in the confluence module are also calibrated. The model parameters are calibrated using 16 floods from 1957 to 1979, and the remaining 9 floods are used to verify the model. The parameter calibration results are shown in Table 2, and the simulation results are shown in Table 3:
表2.SCS-CN模型参数取值Table 2. SCS-CN model parameter values
表3.该村流域SCS-CN模型模拟结果统计指标Table 3. Statistical indicators of the SCS-CN model simulation results for the village watershed
通过抛物线自由蓄水曲线将总径流划分为地面径流、壤中流和地下径流三种,分别进行汇流模块计算。同时根据蓄满产流概念,只有在产流面积上才有可能产生径流,产流面积上的降雨量全部产生径流,进入蓄水库,降雨量成了自由水蓄水库补给量。The total runoff is divided into three types: surface runoff, subsoil runoff and underground runoff through the parabola free storage curve, and the confluence module calculation is performed separately. At the same time, according to the concept of full storage runoff, runoff can only be generated on the runoff-generating area. All rainfall on the runoff-generating area generates runoff and enters the reservoir, and the rainfall becomes the free water reservoir recharge.
在汇流计算中,地表水汇流计算采用单位线法,利用单位线把流域模拟为n个线性水库的串联,壤中流和地下径流的汇流计算均采用线性水库法,河网汇流则采用滞后演算法,其计算公式为:In the confluence calculation, the unit line method is used for surface water confluence calculation. The unit line is used to simulate the watershed as a series of n linear reservoirs. The confluence calculation of subsurface flow and groundwater runoff adopts the linear reservoir method. The hysteresis algorithm is used for river network confluence. The calculation formula is:
Q3(I)=CS×Q3(I-1)+(1-CS)×QT3(I-L) (5)Q3(I)=CS×Q3(I-1)+(1-CS)×QT3(I-L) (5)
QT3(I-L)=QS(I-L)+QG(I-L)+QI(I-L) (6)QT3(I-L)=QS(I-L)+QG(I-L)+QI(I-L) (6)
式中:Q3(I)为第I个时段的单元面积河网汇流量,m3/s;CS为河网水流消退系数;L为汇流滞时参数,h;QS地面径流,m3/s;QG地下径流,m3/s;QI壤中流,m3/s;QT3(I-L)为第I-L个时段地面径流、地下径流和壤中流的总和,m3/s。Where: Q3(I) is the unit area river network runoff in the Ith period, m3 /s; CS is the river network flow recession coefficient; L is the runoff hysteresis parameter, h; QS is the surface runoff, m3 /s; QG is the groundrunoff, m3 /s; QI is the soil flow, m3 /s; QT3(IL) is the sum of the surface runoff, groundrunoff and soil flow in the ILth period, m3 /s.
若研究区域设置在流域呈狭长状或流域面积较大时,往往需要考虑降雨的空间分布情况,在本次实例中,通过利用支持向量机模型来构建动态汇流滞时参数,相关变量包括降雨中心距流域断面的长度、降雨中心坡度、总河道长、总降雨量和前期影响雨量等水文气象特征参数。经过一系列推导,其回归函数最终可表示为:If the study area is set in a narrow and long basin or the basin area is large, it is often necessary to consider the spatial distribution of rainfall. In this example, the dynamic convergence hysteresis parameters are constructed by using the support vector machine model. The relevant variables include the length of the rainfall center from the basin section, the slope of the rainfall center, the total river length, the total rainfall, and the previous rainfall and other hydrological and meteorological characteristic parameters. After a series of derivations, the regression function can finally be expressed as:
式中:(αi,αi *)为拉格朗日乘子;b为偏置;K(x,xi)为从输入空间到高位特征空间的径向基函数,即为核函数;σ为径向基函数的扩展常数,表示函数的径向作用范围。Where: (α i ,α i * ) is the Lagrange multiplier; b is the bias; K(x, xi ) is the radial basis function from the input space to the high-order feature space, that is, the kernel function; σ is the expansion constant of the radial basis function, which represents the radial range of the function.
支持向量机模型常用于解决小样本情况下的机器学习问题,可简化分类和回归等问题。由于支持向量机模型是一种监督的机器学习方法,需要一定前期数据来构建数据库,因此采用部分前期洪水数据来建立模型,模型实际值即为当水文模型模拟洪峰时间与实际洪峰时间相同时的汇流滞时参数,而预测值越接近于1:1直线,模型预测结果越好,其预测结果见图4。The support vector machine model is often used to solve machine learning problems with small samples, and can simplify problems such as classification and regression. Since the support vector machine model is a supervised machine learning method, it requires certain previous data to build a database. Therefore, some previous flood data are used to build the model. The actual value of the model is the confluence hysteresis parameter when the peak time simulated by the hydrological model is the same as the actual peak time. The closer the predicted value is to the 1:1 straight line, the better the model prediction result. The prediction results are shown in Figure 4.
综上,通过以上步骤即可构建SCS-CN三水源汇流模型,部分场次的模拟结果见图5。In summary, the SCS-CN three-source confluence model can be constructed through the above steps. The simulation results of some events are shown in Figure 5.
在本说明书的描述中,参考术语“一个实施例”、“示例”、“具体示例”等的描述意指结合该实施例或示例描述的具体特征、结构、材料或者特点包含于本发明的至少一个实施例或示例中。在本说明书中,对上述术语的示意性表述不一定指的是相同的实施例或示例。而且,描述的具体特征、结构、材料或者特点可以在任何的一个或多个实施例或示例中以合适的方式结合。In the description of this specification, the description with reference to the terms "one embodiment", "example", "specific example", etc. means that the specific features, structures, materials or characteristics described in conjunction with the embodiment or example are included in at least one embodiment or example of the present invention. In this specification, the schematic representation of the above terms does not necessarily refer to the same embodiment or example. Moreover, the specific features, structures, materials or characteristics described can be combined in any one or more embodiments or examples in a suitable manner.
以上显示和描述了本发明的基本原理、主要特征和本发明的优点。本行业的技术人员应该了解,本发明不受上述实施例的限制,上述实施例和说明书中描述的只是说明本发明的原理,在不脱离本发明精神和范围的前提下,本发明还会有各种变化和改进,这些变化和改进都落入要求保护的本发明范围内。The above shows and describes the basic principles, main features and advantages of the present invention. Those skilled in the art should understand that the present invention is not limited to the above embodiments, and the above embodiments and descriptions are only for explaining the principles of the present invention. Without departing from the spirit and scope of the present invention, the present invention may have various changes and improvements, and these changes and improvements all fall within the scope of the present invention to be protected.
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