黄河供水型水库库容计算方法研究OA
Study on Calculation Methods of Storage Capacity of the Yellow River Water-Supply Reservoirs
供水型水库作为工业供水和生活供水的重要基础设施,水位变化频繁,需要建立精确的水位-库容关系来实现精细化调度,进一步明确不同计算方法在供水型水库库容测算中的适用性,实现对供水型水库进行有效管理.以从黄河上游沙坡头北干渠取水的照壁山水库为例,通过无人机低空航摄技术与无人船载回声测深仪获取水上及水下地形数据,并利用ArcGIS软件中ArcMap模块,实现了水上地形数据与水下库底高程数据在空间上的融合,生成了覆盖全库区的高精度数字高程模型(Digital Elevation Model,DEM).利用DEM法、等高线容积法(Contour Volume Method,CVM)和断面法(Cross Section Method,CSM)计算了不同水位条件下的水库库容并绘制了库容曲线.对上述三种方法在照壁山水库死水位至校核洪水位之间分区段的计算库容,利用南方CASS软件进行复核.研究表明,CVM在全水位区间精度最高且稳定性最优,在关键水位(正常蓄水位1 311.20 m、设计洪水位1 311.60 m、校核洪水位1 312.00 m)处稳定在0.21%~0.23%,推荐作为供水型水库库容计算的首选方法;DEM法在高水位区间表现良好,相对误差为0.05%~1.78%,可作为特定水位条件下的替代方法;CSM在全水位区间的相对误差处于3.54%~12.89%之间,不适用于供水型水库库容计算.最后,基于CVM计算数据,建立了平移幂函数水位-水域面积关系模型和三次多项式水位-库容关系模型,实现了从离散数据到连续函数的转化.研究构建的"数据获取-方法对比-误差评定-模型建立"技术流程为供水型水库库容精细化测算与水库调度提供了可靠的依据.
Water-supply reservoirs,as important infrastructure that supports both industrial water supply and domestic water supply,are characterized by frequent fluctuations in water level;consequently,it is necessary to establish an accurate relationship between water level and storage capacity in order to realize refined scheduling,to further clarify the applicability of different calculation methods in the measurement of storage capacity for water-supply reservoirs,and to achieve effective management of such reservoirs as well.Taking the Zhaobishan Reservoir,which withdraws water from the Shapotou North Main Canal in the upper reaches of the Yellow River,as the example,this study obtains above-water and underwater topographic data through the combined use of low-altitude UAV aerial photogrammetry and an unmanned surface vessel-mounted echo sounder.The ArcMap module within ArcGIS software is used to realize spatial integration of both the above-water terrain data and the underwater reservoir-bed elevation data,thereby generating a high-precision digital elevation model(DEM)that fully covers the entire reservoir area.Three methods,namely the DEM method,the contour volume method(CVM),and the cross-section method(CSM),are applied to calculate the reservoir storage capacity under different water-level conditions and plot storage capacity curves.For the storage capacities computed by the above three methods for partitioned segments between the dead water level and the check flood level of the Zhaobishan Reservoir,verification and rechecking are carried out with South CASS software.The results of the study indicate that CVM attains the highest accuracy together with the best stability across the full water-level range,remaining stably within 0.21%to 0.23%at the key levels of normal storage level 1 311.20 m,design flood level 1 311.60 m,and check flood level 1 312.00 m,and in particular it is therefore recommended as the preferred method for the calculation of storage capacity in water-supply reservoirs.The DEM method performs well within the high water-level range,achieving relative error levels between 0.05%and 1.78%and thus serving as an alternative method under specific water-level conditions.The CSM exhibits relative errors between 3.54%and 12.89%across the full water-level range and is not suitable for the storage-capacity calculation of water-supply reservoirs.Finally,on the basis of calculation data derived from CVM,a shifted power function water level-water surface area relationship model and a cubic polynomial water level-storage capacity relationship model are established,thereby achieving the transformation from discrete data to continuous functional representations.The technical workflow constructed in this study,consisting of the sequential steps of data acquisition,method comparison,error evaluation,and model establishment,provides a reliable basis for refined calculation of reservoir storage capacity and reservoir scheduling of water-supply reservoirs.
王淇;王浩;景何仿;麻小华;宋建文;周超;拓明方
北方民族大学 土木工程学院,宁夏 银川 750021宁夏水投中卫水务有限公司,宁夏 中卫 755000北方民族大学 土木工程学院,宁夏 银川 750021||北方民族大学 数值计算与工程应用研究所,宁夏 银川 750021宁夏水投中卫水务有限公司,宁夏 中卫 755000宁夏水投中卫水务有限公司,宁夏 中卫 755000宁夏水投中卫水务有限公司,宁夏 中卫 755000宁夏水投中卫水务有限公司,宁夏 中卫 755000
建筑与水利
照壁山水库库容数字高程模型法等高线断面法数据拟合
Zhaobishan Reservoirstorage capacityDEMcontour linesCSMData fitting
《中国农村水利水电》 2026 (9)
41-49,56,10
国家自然科学基金(12461084,12462027)宁夏自然科学基金(2023AAC02049),(2025AAC030205)宁夏高等学校科学研究项目(NYG2024090)北方民族大学科学计算与工程应用创新团队(2022PT_S02).
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