In this research, the performance of simple mathematical models was evaluated for predicting total dissolved solids (TDS), biochemical oxygen demand (BOD) and nitrate (NO₃^–) in a case study, the Seymareh Reservoir located in the south-west of Iran. The accuracy of the mathematical models was compared with a two-dimensional model, called CE-Qual-W2, and real observations. The models were considered as two different input-data scenarios and one scenario for applied mathematical equations (completely mixed reactor). The modelling period was from October 2012 to September 2013. The results of the simple mathematical models show an acceptable performance with the mean relative error (MRE) of 10.8–73.8 compared with the complex CE-Qual-W2 model, whereas they require fewer input data and take less time to execute. To verify the accuracy of the equations, the results were also compared with the sampling data from the reservoir. The best performance of the proposed mathematical models showed a MRE of ~10.8%, 31.5% and 16.5% for TDS, BOD and NO₃^– respectively. These findings suggest using such simple models for screening/feasibility studies and also to model water quality in several dams across the basin to save time and cost.

在这项研究中，评估了简单数学模型的性能，用于预测总溶解固体 (TDS)、生化需氧量 (BOD) 和硝酸盐 (NO ₃ ^–) 在一个案例研究中，位于伊朗西南部的 Seymareh 水库。将数学模型的准确性与称为 CE-Qual-W2 的二维模型和实际观察进行了比较。这些模型被认为是两种不同的输入数据情景和一种应用数学方程的情景（完全混合反应器）。建模时间为 2012 年 10 月至 2013 年 9 月。 与复杂的 CE-Qual-W2 模型相比，简单数学模型的结果显示出可接受的性能，平均相对误差 (MRE) 为 10.8-73.8，但需要较少的输入数据并花费更少的时间来执行。为了验证方程的准确性，还将结果与水库的采样数据进行了比较。所提出的数学模型的最佳性能显示 MRE 为 ~10.8%、31.5% 和 16。₃ ^–分别。这些发现建议使用这种简单的模型进行筛选/可行性研究，并模拟整个流域内几个大坝的水质，以节省时间和成本。