Application of a Non-linear Two-phase Mixture Model to the Unsaturated Vertical Flow through Snow

Abstract

In this paper, we improve the two-phase mixture model which we proposed in the previous paper: Assuming a non-linear relation between the moisture of free phaseand the infiltration flux within snowpack, we add an upper limit and a lower limit of moisture of trapping phase and estimate the model parameters by a method based on the least square method.
As a result, we find that the non-linear model agree much better with the experimental results than a linear model. Moreover weexamine the transition of moisture profiles of infiltration process.