一个基于行波解的冻结缘水流模型

A Model of Water Flux in Frozen Fringe Based on Traveling Wave Solution

在次级冻胀现象中,对处于已冻土和未冻土之间的冻结缘地带,研究其中的水分迁移是一个重要的课题.在已建立的次级冻胀数学模型的基础上,通过假设有行波解的存在,建立了一组新的方程和边界条件,就冰分凝和冻渗两种情况进行了讨论,并以试验数据为例,模拟了开放系统饱水土的入流量历时曲线.

As to the phenomenon of secondary frost heave, the behavior of water flux in frozen fringe is one of the major subjects to study. A new mathematical model in frozen fringe is built in this paper based on mass and heat equilibrium laws with the special situation that traveling wave solution exists. Some necessary assumptions are made and a group of equations with boundary conditions are obtained. The model is discussed for ice segregating and for frost penetration, respectively. The results are relatively clear for lens formation that coincides with some engineer calculation formula. Efforts have also been made on the numerical tests of water flux intake in an open system for the model with given temperature field under some hypotheses. In the first stage, the formula is adopted of penetration and in the second one the formula is used of lens formation. The results can reflect the changing trend of water flux intake in real situation on the whole.