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Reliability analysis of trickle emitter clogging using weibull distribution

机译:使用威布尔分布的trick流式发射器堵塞可靠性分析

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Clogging in drip emitters inhibits the hydraulic performance of a drip irrigation system. The variations in emitter clogging over time have to be statistically modeled in order to study its impact on uniformity of water application and to forecast the required de-clogging treatments. An experiment was carried out in an existing drip irrigation system laid in a farmer's Areca-nut orchard in Coimbatore, India. Discharge rates of trickle emitters from the field were measured for a period of 20 weeks.Data were analysed for clogging rates and their temporal variations at four levels of emitter clogging: 5 percent, 10 percent, 15 percent, and 20 percent. The Weibull theory was applied for fitting the temporal variations in emitter clogging caused by the saline nature of the irrigation water. A computer program in 'C' language was developed to estimate the Weibull parameters using the least square technique. The validation of the Weibull model for fitting the temporal distribution of emitter clogging was carried out with the help of the Chi-square test at the 5 percent level, which confirmed the goodness of fit. The Monte-Carlo method was used to simulate the time for clogging of emitters at different levels. The number of times de-clogging is required to keep the emitters within 5 percent clogging was found to be 11 per year for the selected drip irrigation system. Similarly the treatments required for 10 percent, 15 percent and 20 percent clogging limits were found to be 7, 5 and 4 times per year respectively.
机译:滴灌器堵塞会抑制滴灌系统的水力性能。为了研究滴头堵塞随时间的变化,必须对其进行统计建模,以便研究其对用水均匀性的影响并预测所需的去堵塞处理方法。在现有的滴灌系统中进行了一项实验,该系统位于印度哥印拜陀的一个农民的槟榔果园中。在20周的时间内测量了滴流式排放器的排放速率,并分析了在四个排放水平(分别为5%,10%,15%和20%)下的堵塞率及其随时间的变化。威布尔理论被用于拟合由灌溉水的盐性引起的排放口堵塞的时间变化。开发了一种用“ C”语言编写的计算机程序,以使用最小二乘法估算威布尔参数。借助卡方检验在5%的水平上对Weibull模型进行拟合以拟合发射器堵塞的时间分布进行了验证,这证实了拟合的良好性。蒙特卡洛方法用于模拟不同水平的发射器堵塞时间。对于选定的滴灌系统,为使排放口保持在5%以内所需的时间,需要进行除堵塞的次数为每年11次。同样,发现堵塞率分别为10%,15%和20%所需的治疗每年分别为7、5和4次。

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