摘要
将正态模糊数线性回归模型应用于分析抽水试验数据,反演含水层参数的过程中。以简化泰斯公式为基础,将经典线性回归参数正态模糊化,建立估计含水层参数的模糊线性回归模型,利用模糊集的λ-截集概念确定含水层参数在一定置信水平λ下的取值范围。最后实际算例,验证了方法的可行性、可靠性,同时也表明在不同的置信水平λ的情况下,含水层参数的计算结果的范围虽然有一定变化,但这种变化都很微小,由此表明文中提出的方法具有一定的稳定性,为确定含水层参数提供新的途径。
In this paper,the fuzzy linear regression model with normal fuzzy number as its coefficient is used to analyze the pumping experiment data and the inversion problem of aquifer parameters.On the basis of simplified Theis formula,the parameters in classical linear regression are obfuscated,the fuzzy linear regression model is established to evaluate the aquifer parameters,then the range of aquifer parameters in a certain confidence level λ is obtained by means of the λ-cut technique in the fuzzy set.Finally,the calculation results show that this method is reliable and feasible.Meanwhile,at different confidence levels,the calculation results of the parameters have some changes,but they are very small.So the method presented in this paper is stable and offers a new way to evaluate the aquifer parameters.
出处
《中国农村水利水电》
北大核心
2011年第7期59-62,共4页
China Rural Water and Hydropower
基金
GIS若干不确定稳定性问题的新划画及其应用研究(41071247)
关键词
简化泰斯公式
正态模糊数
模糊线性回归
含水层参数
simplified Theis formula
normal fuzzy number
fuzzy linear regression
aquifer parameters
作者简介
王新端(1985-),男,硕士研究生,主要从事最优化理论和方法研究。E-mail:wxdcdyan@163.com。