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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。
One-dimensional flow field and two-dimensional hydrodynamic dispersion test data were analyzed by linear regression model of normal fuzzy number to determine the hydrodynamic dispersion parameters of groundwater. Based on the existing straight line graph method, a normal fuzzy linear regression model was established. By using this model, the normal fuzzy numbers corresponding to each diffusive parameter can be calculated. According to the membership functions of the corresponding normal fuzzy numbers, the interval of each diffusive parameter can be determined under different confidence levels. The final example is validated. The results show that the parameters of the normal fuzzy linear regression model are reliable. The dispersion test and the uncertainty of the existence of the aquifer system are considered. The use of fuzzy numbers is more in line with the actual situation.