AGGREGATION OF DISTRIBUTIONS OF INFILTRATION PARAMETERS USING ITS AGGREGATION CRITERIA DERIVED FROM PHILIP'S EQUATION

Abstract

This paper explores aggregation of the total infiltration in an inhomogeneous area where infiltration parameters are distributed. The aggregation criteria of the infiltration are introduced based on Philip's equation for five parameters and they are expressed as an inequality of second polynominals of the aggregation index for infiltration introduced here. Using these criteria, the aggregation of the distributing parameters was conducted respectively. Observed hydraulic conductivity and initial saturation degree are difficult to aggregate by the mean parameter method, however the mean values of the other parameters provide better results without taking into account of the distributions.