| 确定二维水动力弥散参数的正态模糊线性回归 |
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| 引用本文： | 赵瑞平,常安定,郭建青.确定二维水动力弥散参数的正态模糊线性回归[J].勘察科学技术,2012(1):24-27,36. |
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| 作者姓名： | 赵瑞平 常安定 郭建青 |
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| 作者单位： | 长安大学 |
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| 基金项目： | 中央高校基本科研业务费专项资金(CHD2012TD015) |
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| 摘 要： | 用正态模糊数的线性回归模型分析一维流场、二维水动力弥散试验数据,确定地下水水动力弥散参数。以现有直线图解法为基础,建立了正态模糊线性回归模型。利用该模型能够计算出各弥散参数对应的正态模糊数,根据相应正态模糊数的隶属函数能够确定各弥散参数在不同置信水平下的取值区间。最后实例进行验证,结果表明,正态模糊线性回归模型的参数计算结果是可靠的,考虑了弥散试验和含水层系统自身存在的不确定性,利用模糊数更符合实际情况。
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| 关 键 词： | 弥散参数 正态模糊数 线性回归 隶属函数 |
Linear Regression Based on Normal Fuzzy Numbers for Determining Two-dimensional Hydrodynamic Dispersion Parameters |
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| Zhao Ruiping Chang Anding Guo Jianqing.Linear Regression Based on Normal Fuzzy Numbers for Determining Two-dimensional Hydrodynamic Dispersion Parameters[J].Site Investigation Science and Technology,2012(1):24-27,36. |
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| Authors: | Zhao Ruiping Chang Anding Guo Jianqing |
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| Affiliation: | Zhao Ruiping Chang Anding Guo Jianqing(Chang′an University) |
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| Abstract: | In order to determine the hydrodynamic dispersion parameters of groundwater,the linear regression model with normal fuzzy numbers is applied to analyze the test data in the condition of one dimensional steady flow field and two-dimensional unsteady hydrodynamic dispersion field.The linear regression model with normal fuzzy numbers is established based on the existing linear graphical method.This model may be applied for calculating corresponding normal fuzzy numbers for dispersion parameters,and the value ranges of dispersion parameters with different confidence levels are determine according to the membership function of normal fuzzy numbers.Finally,through the verified by practical examples,the calculated results show that the method is reliable,and considering that the uncertainty of dispersion test and the aquifer system itself,it is more realistic using normal fuzzy numbers. |
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| Keywords: | dispersion parameter normal fuzzy number linear regression membership function |
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