With the assumption that the water advance and the infiltration opportunity have an exponential relationship, a new equation was derived to estimate the time of water advance along a surface-irrigated field. Using the derived advance equation, a new method was developed for estimating the Kostiakov–Lewis infiltration parameters. The proposed advance equation and Elliot and Walker's advance equation (two-point method) were evaluated using field advance data from seven locations. The evaluation results were based on the dRMS and NSE indices, which showed the superiority of the proposed equation. The advance equations were compared based on their infiltration depth differences and a comparison showed the superiority of the proposed equation. Also, the average values of infiltration depth in the average actual and computed infiltration opportunity time of the advance phase, and the average infiltration opportunity of the total irrigation time, were compared to the average values of actual infiltration depth using the relative error index. Results showed that the proposed method more accurately estimated the average infiltration depth with an average relative error 5.27% for total irrigation time, 1.90% for average computed infiltration opportunity, 1.80% for average actual infiltration opportunity, and 3.86% for infiltrated depth difference in more than 75% of the cases. The proposed equation and the new method for calculating infiltration coefficients can be recommended for practical use.

中文翻译：

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一种推导渗透参数的新分析方法

假设进水量和入渗机会呈指数关系，推导出一个新方程来估计沿地表灌溉田的进水时间。使用导出的高级方程，开发了一种估计 Kostiakov-Lewis 渗透参数的新方法。使用来自七个地点的现场推进数据评估了提议的推进方程和艾略特和沃克的推进方程（两点法）。评价结果基于 dRMS 和 NSE 指数，这表明了所提出的方程的优越性。根据入渗深度差异对先进方程进行了比较，比较表明了所提出方程的优越性。还，使用相对误差指数将提前阶段平均实际和计算入渗机会时间的入渗深度平均值和总灌溉时间的平均入渗机会与实际入渗深度平均值进行比较。结果表明，所提出的方法更准确地估计了平均入渗深度，总灌溉时间的平均相对误差为 5.27%，平均计算入渗机会为 1.90%，平均实际入渗机会为 1.80%，入渗深度差为 3.86%。超过 75% 的案例。所提出的方程和计算入渗系数的新方法可推荐用于实际应用。使用相对误差指数与实际下渗深度的平均值进行比较。结果表明，所提出的方法更准确地估计了平均入渗深度，总灌溉时间的平均相对误差为 5.27%，平均计算入渗机会为 1.90%，平均实际入渗机会为 1.80%，入渗深度差为 3.86%。超过 75% 的案例。所提出的方程和计算入渗系数的新方法可推荐用于实际应用。使用相对误差指数与实际下渗深度的平均值进行比较。结果表明，所提出的方法更准确地估计了平均入渗深度，总灌溉时间的平均相对误差为 5.27%，平均计算入渗机会为 1.90%，平均实际入渗机会为 1.80%，入渗深度差为 3.86%。超过 75% 的案例。所提出的方程和计算入渗系数的新方法可推荐用于实际应用。在超过 75% 的情况下，平均计算渗透机会为 90%，平均实际渗透机会为 1.80%，渗透深度差异为 3.86%。所提出的方程和计算入渗系数的新方法可推荐用于实际应用。在超过 75% 的情况下，平均计算渗透机会为 90%，平均实际渗透机会为 1.80%，渗透深度差异为 3.86%。所提出的方程和计算入渗系数的新方法可推荐用于实际应用。