ISSN 1000-3665 CN 11-2202/P

    基于解析解的傍河地下水水位监测断面布设

    Design of groundwater level monitoring sections at river side based on analytical solution

    • 摘要: 为了更准确地计算河水与地下水之间的交换量,必须傍河布设地下水水位监测断面。基于经典的Ferris解析解,对其进行拉丁超立方采样以获取地下水水位数据,并进行K均值聚类分析,利用克里金插值对不同的聚类结果进行对比和评估,从而设计出合理的地下水水位监测断面。结果表明:(1)对Ferris解析解进行数据预处理,发现潜水初始水位 h\left(x,0\right) 和河流水位迅速抬升高度 \Delta H_0 对K均值聚类的结果并无显著影响,因此可将解析解中的 h\left(x,0\right) 设为0, \Delta H_0 设为1,以简化后续研究;(2)对于解析解中不同导压系数 (a) 和时间( t ),通过肘方法确定的K均值聚类的 k 值均为3,监测井的布设数量也均为3,但第3口监测井的位置由第3个聚类中心处变为河水的最大影响范围处,便于使用补给水丘体积更准确地计算河水对地下水的补给量;(3)随着 a 或 t 的增大,监测断面各监测井的位置逐渐远离河岸,因此需要根据具体的地层岩性以及河道过水时间长度条件,合理选择监测井的布设位置。本研究可为傍河地区地下水水位监测断面的布设提供技术方法。

       

      Abstract: Accurate estimation of the exchange between river water and groundwater requires the establishment of properly designed groundwater level monitoring sections along riverbanks. This study applied the classic Ferris analytical solution and performed Latin Hypercube Sampling to obtain groundwater level data. K-means clustering analysis was then conducted on the groundwater level data, and Kriging interpolation was employed to compare and evaluate the different clustering results, thereby designing a rational groundwater level monitoring section. The results show that preprocessing the data based on the Ferris analytical solution reveals that the initial water level h\left(x,0\right) and the rapid rise height of the river water level \Delta H_0 have insignificant impact on the K-means clustering results. Thus, h\left(x,0\right) was set to 0 and \Delta H_0 was set to 1 to simplify subsequent analyses. For different hydraulic conductivity coefficients a and time t in the analytical solution, the optimal k value for K-means clustering determined by the elbow method was 3, and the number of monitoring wells was also 3. However, the location of the third monitoring well shifts from the third clustering center to the area of maximum influence of river water, facilitating the use of recharge water mound volume for more accurate calculation of river water recharge to groundwater. As a or t increases, the locations of the monitoring wells gradually move away from the riverbank. Therefore, well placement should be determined in consideration of site-specific stratigraphic lithology and river flow duration. This study provides a technical method for the design of groundwater level monitoring sections along riverbanks.

       

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