1、 I 本论文以煤矿采空区瓦斯所带来的安全隐患为背景，以偏微分方程理论为 基础，通过对采空区渗流流场和瓦斯浓度场控制微分方程的分析，将偏微分方 程的有限差分法应用到采空区流场的数值计算中，重点求解了采空区的瓦斯浓 度分布。 本论文总共分成四部分对问题进行讨论。首先，主要对煤炭资源在能源上 的重要地位，煤炭在开采过程中所发生的安全事故和国内外对减轻瓦斯存在所 带来的隐患在领域中所进行的研究状况进行了概述。其次，对与采空区流场相 关的基础理论进行分析，其中针对流体力学中的质量守恒，动量守恒，能量守 恒等定理引出了文中的连续方程，动量方程和能量方程等一组控制方程。而根 据控制方程所涉及的瓦斯浓度变量可
2、以得到浓度场方程。再次，对偏微分方程 的有限差分法进行了简单介绍，本论文重点就是用该方法求解浓度场方程。最 后，则是用介绍的有限差分法进行数值计算的求解过程，该部分对流场控制方 程用有限差分法进行的数值计算构成了本论文的核心内容。 关键词关键词 采空区 有限差分 瓦斯浓度场 数值计算 II Abstract This paper brought by coal gob gas in the safe hidden trouble as a background, based on the PDE theory as a foundation, and through the analysis
3、of seepage flow field and gob gas concentration field control differential equation, the PDE of the finite difference method is applied to the numerical calculation of gob flow field, focus on solved the gob gas concentration distribution. This paper divides into four chapters in total for the discu
4、ssion. At the first is the overview of coal resources of the important position as the main energy, the accident occurred in the process of mining coal and the study conducted in the field at hone and abroad to reduce hidden dangers posed by the existence of gas. At the second is related of analysis of the basic theory about flow field with the gob, which for the basic theory about mass conservation, momentum conservation, energy conservation etc in fluid mechanics raised the continuous equati
