Salehi Saeed, Barati Reza, Baghani Mozareza, Sakhdari Saeed, Maghrebi Mohsen
Dept. of Civil Engineering, Lakehead University, Thunder Bay, ON, P7B 5E1, Canada.
Department of Civil Engineering, Tarbiat Modares University, Tehran, Iran.
Sci Rep. 2024 Dec 5;14(1):30337. doi: 10.1038/s41598-024-81893-y.
This study was carried out to develop a conceptual framework for determining the best interpolation method which mainly is employed to calculate the variability maps of electrical conductivity (EC) in neighboring regions. The considered case study is parts of the Khorasan Razavi province, Iran (including five aquifers Kashmar, Fariman, Doruneh, Sarakhs and Joveyn). In the first step, the empirical variogram (semi-variogram) was computed for the study area. The methods of the variability of a variable with spatial or temporal distance were considered to measure the semi-variogram function. In the next step, the best variogram model (e.g. spherical, exponential or Gaussian) was considered in the Geographic Information System (GIS) environment and f for the Environmental Sciences (GS+) software. By plotting the semi-variogram in GS program based on different method as Global Polynomial Interpolation (GPI), Inverse distance weighing (IDW), Radial basis function (RBF), Kriging method, Global Polynomial Interpolation (GPI), Local Polynomial Interpolation (LPI), the best variogram model fitted to spatial structure of the EC. Finally, by considering the acceptable range for different parameters which impact on EC and evaluating their impacts by scaling, the best interpolation method has been selected for that area for employing their neighborhood basin. Result indicated that the precipitation located within the range of 140 to 180 mm, RBI has the priority. This process is continued for all 14 parameters and eventually one method gets the most points.
本研究旨在建立一个概念框架，以确定主要用于计算相邻区域电导率（EC）变异性图的最佳插值方法。所考虑的案例研究是伊朗呼罗珊拉扎维省的部分地区（包括五个含水层：卡什马尔、法里曼、多鲁内、萨拉克和乔维因）。第一步，计算研究区域的经验变差函数（半变差函数）。考虑变量随空间或时间距离变化的方法来测量半变差函数。下一步，在地理信息系统（GIS）环境和用于环境科学的GS+软件中考虑最佳变差函数模型（如球形、指数或高斯模型）。通过基于不同方法（如全局多项式插值（GPI）、反距离加权（IDW）、径向基函数（RBF）、克里金法、全局多项式插值（GPI）、局部多项式插值（LPI））在GS程序中绘制半变差函数，使最佳变差函数模型拟合EC的空间结构。最后，通过考虑影响EC的不同参数的可接受范围，并通过缩放评估它们的影响，为该区域选择了用于其邻域流域的最佳插值方法。结果表明，降水量在140至180毫米范围内时，径向基函数（RBF）具有优先权。对所有14个参数都进行此过程，最终一种方法获得的分数最多。
