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基于量纲分析讨论煤与瓦斯突出的影响因素

Discussion of the influencing factors of coal and gas outburst based on dimensional analysis method

  • 摘要: 煤与瓦斯突出的机理非常复杂,难以用常规的解析方法进行建模研究,量纲分析是研究此类问题的有效方法。使用量纲分析的方法,对煤与瓦斯突出问题的性质和控制参数进行分析。结果表明,煤与瓦斯突出过程中主要发生3种物理现象,分别是准静态岩体系统的失稳、孔洞壁煤体的连续破坏,以及碎煤—瓦斯两相流的运动。讨论了这3种现象的问题实质、建模方法和状态变量,在此基础上应用量纲分析方法,构建了一系列对煤与瓦斯突出起控制作用的无量纲数。通过无量纲数导出煤与瓦斯突出的主要影响因素,以及各个影响因素之间耦合作用对煤与瓦斯突出发生规律造成的影响。

     

    Abstract: The mechanism of coal and gas outburst is too complicated to model through conventional analytical approaches, and dimensional analysis is an effective method to study this kind of problem. The nature and controlling parameters of coal and gas outburst problem were analyzed by using dimensional analysis method. The results show that there are three main physical phenomena in the process of coal and gas outburst, which are the instability of quasi static-rock mass system, the continuous breakage of coal mass around outburst cavity, and the movement of two-phase flow with coal fragment and gas. The nature, modeling method and state variables of these 3 phenomena are discussed respectively. On this basis, a series of dimensionless numbers controlling coal and gas outburst are constructed by using dimensional analysis method. The main influence factors of coal and gas outburst are derived from these dimensionless numbers, and the coupling influences of these influencing factors on the occurrence law of coal and gas outburst are also explained.

     

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