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冰川冻土 ›› 2003, Vol. 25 ›› Issue (5): 547-551.

• 大气-植被-土壤相互作用研究 • 上一篇    下一篇

一个基于行波解的冻结缘水流模型

裘春晗   

  1. 杭州商学院, 统计与计算学院, 浙江, 杭州, 310035
  • 收稿日期:2002-09-26 修回日期:2003-03-28 出版日期:2003-10-25 发布日期:2012-04-26
  • 作者简介:裘春晗(1976-), 女, 浙江绍兴人, 讲师, 2000年在浙江大学数学系获硕士学位, 主要从事偏微分方程理论和应用研究.E-mail:liuqiu@hzcnc.com

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

QIU Chun-han   

  1. School of Statistics and Calculation, Hangzhou Commerce Institute, Hangzhou Zhejiang 310035, China
  • Received:2002-09-26 Revised:2003-03-28 Online:2003-10-25 Published:2012-04-26

摘要: 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.

关键词: 冻胀, 冻结缘, 水分迁移, 行波解

Abstract: 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.

Key words: frost heave, frozen fringe, water migration, traveling wave solution

中图分类号: 

  • P642.14