摘要
实际采空区,有相当大区域风流偏离达西渗流定律,而服从非线性渗流规律。据此,本文对实际中很多可作二维平面简化处理的采空区渗流情况,建立了二维采空区非线性渗流流函数方程,提出该方程边界条件的描述方法,导出该方程的Галёркйн表达式,介绍了二维采空区非线性渗流流函数方程的有限元解法。最后结合一采空区实例,给出了流场计算结果,并与由达西定律导出的渗流方程计算结果进行了比较,证明本研究结果的合理性。本文对研究采空区自燃带分布、瓦斯浓度分布、均压防火等提供了重要基础。本研究结果亦可用于地下非线性渗流和污染问题。
The air flow in a big mined out area deviates Darcy Law in fact, it follows a non-linear vadose law.Based on this,a 2D non-linear vadose flow function equation for the mined out area is set up to handle the vadose flow which can be simplified.Based on description of the boundary conditions of this equation, Galepken expression is derived.The finite element solution of the non-linear vadose flow function for 2D mined out area is described. Finally,the calculated result of flow field of one mined out area is given as an example.The calculated results using Darcy vadose flow potential equation, which has proved that the research results are adequate.This investigation provides important basis for analyzing distribution of spontaneous combustion zone in the mined out area,distribution of gas concentration,and for fire prevention by using equal pressure ventilation.The results of the research can also be applied to nonlinear filtration of underground water and water pollution.
出处
《煤炭学报》
EI
CAS
CSCD
北大核心
1993年第2期19-25,共7页
Journal of China Coal Society
关键词
采空区
渗流
有限元
风流
函数方程
mined out area
vadose flow
non-linear
finite element solution
