今天是2017年11月18日

达西定律成立吗

DOI:10.3799/dqkx.2013.130

作者:万军伟,黄琨,陈崇希

联系地址:中国地质大学环境学院,湖北武汉

摘要:目前在地下水渗流研究领域公认的是:当雷诺数Re<(1~10)时,达西线性定律是描述地下水渗流运动的最基本方程,地下水流动的数学问题都可以基于该线性方程而导出.通过对当年达西实验数据的再分析以及利用透水石孔隙介质进行的渗流实验发现:即使在雷诺数Re<(1~10)的条件下,地下水渗流也不服从达西线性定律,而是呈现出随着雷诺数的增大,水流阻力也在逐渐增大,孔隙介质中的地下水渗流服从非线性渗流规律.达西线性渗流定律只是对斜率变化不大的非线性渗流规律的近似表征.

关键字:渗流;达西定律;线性;非线性;地下水

Reassessing Darcy Law on Water Flow in Porous Media

Author:WAN JunWei, HUANG Kun, CHEN ChongXi

Author Address:School of Environmental Studies, China University of Geosciences, Wuhan

Abstract:The shared understanding of law on movement of groundwater is that linear Darcy's law is the most basic equation of groundwater seepage. All the mathematical problems of groundwater flow can be derived based on Darcy's law if the the Reynolds number is less than a certain value between 1 and 10 (Re<(1-10)). The experimental data obtained by Darcy are analysed again and similar seepage experiments are carried out with permeable stone porous media. Both results show that even though the Reynolds number is less than a certain value between 1 and 10 (Re<(1-10)), the movement of groundwater would not obey Darcy's law but the nonlinear law. As the Reynolds number increases, the seepage friction grows gradually. It is concluded that Darcy's linear law is the approximate description of nonlinear law when the change of slope is small.

Keyword:seepage; Darcys law; linear; nonlinear; ground water

 

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作者简介:万军伟(1964-),男,教授,主要从事地下水渗流研究.Email: wanjw@cug.edu.cn

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