Improving the application efficiency and leaching of solutes from the root zone in a sprinkler irrigation system are directly related to the uniformity of water distribution at the field surface. The coefficient of uniformity and distribution uniformity are affected by changes in wind speed and its direction, sprinkler characteristics and variations in operating pressure. The objective of this paper is to present modified equations for evaluating pressurized irrigation systems based on non-dimensional infiltrated depths. The equations were obtained by four data groups including the average of the measured infiltration depths in any quarter. Coefficient of uniformity (CU), distribution uniformity (DU), application efficiency (E_a) and deep percolation (DP) were used as performance indicators to evaluate the sprinkler irrigation system. The suggested method was compared to the existing approach to assess the evaluation indicators. Three data sets of observed information for wheel-move, permanent solid set and semi-solid set irrigation systems were collected in Chaharmahal and Bakhtiari provinces to evaluate the proposed formulation. Furthermore, the relationships between CU and DU were analysed for three scenarios of infiltration depth. Results show that the application efficiency was 12% less than previous equations because of using four average values.

中文翻译：

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开发用于评估喷灌的配水公式的无量纲框架*

在喷灌系统中提高施用效率和从根区浸出溶质直接关系到田间表面水分分布的均匀性。均匀系数和分布均匀度受风速和风向变化、喷淋头特性和工作压力变化的影响。本文的目的是提出用于评估基于无量纲渗透深度的加压灌溉系统的修正方程。这些方程是由四个数据组获得的，包括任何季度测得的渗透深度的平均值。均匀性系数 (CU)、分布均匀性 (DU)、施用效率 ( E _a) 和深度渗透 (DP) 作为性能指标来评估喷灌系统。将建议的方法与现有方法进行比较，以评估评估指标。在 Chaharmahal 和 Bakhtiari 省收集了轮式、永久固体和半固体灌溉系统的三个观测信息数据集，以评估拟议的配方。此外，针对三种渗透深度情况分析了 CU 和 DU 之间的关系。结果表明，由于使用了四个平均值，应用效率比之前的公式低 12%。