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

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 。

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 -t and -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.