分析拟稳定流径向弥散试验数据的反函数法

THE INVERSE FUNCTION METHOD FOR ANALYZING THE DATA OF QUASI STEADY RADIAL DISPERSION TEST

  • 摘要: 将描述拟稳定流径向水动力弥散过程的近似解析解进行反函数变换。以变换后的表达式为基础,建立了具有c-t数据和c-r数据两种情况下的直线方程。该方程的因变量与自变量均为试验数据的函数,直线常数中含有待求弥散参数。经过适当的数据转化,就可以利用线性回归法或直接图解法求出直线常数,从而计算出含水层介质的纵向弥散度al和有效孔隙率n。算例表明,这种方法的计算结果精度令人满意。

     

    Abstract: Inver function transformation has been conducted on the approximation analytical solution describing the quasi-steady radial flow dispersion in this paper.Based on the transformed expression,the liner equations in the case of being of c-t and c-r data have been established.The dependent and independent variables in those equations are the functions of test data,and the linear constants include the parameters to be estimated.So if the test data are conversed suitably,the linear constants may be computed by the means of linear regression method or linear graphical method,and finally the longitudinal disperse coefficient and effect porosity of aquifer may be computed.The practical example shows that the results of the method presented here is of high accuracy.

     

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