基于数学模型的煤与瓦斯耦合问题研究

Study on Problem of Coal and Gas Coupling Based on Mathematical Model

煤与瓦斯突出具有突发性、不可预测性,成为了国内外煤矿开采领域研究的重点课题。文章以煤与瓦斯耦合为研究对象,结合克林肯伯格效应和吸附膨胀效应,确立了瓦斯渗透率和煤体孔隙率关系,并建立了煤与瓦斯固气耦合数学模型。通过对模型的数值模拟分析,结合实际测量验证了模型的有效性。此研究为煤与瓦斯突出的深层机理研究提供了可靠的数学依据。

Coal and gas outburst has sudden, unpredictable nature, it has become the focus of research in the field of domestic coal mining. Based on the coupling of coal and gas as the research object, combined with the Klinken Berg effect and adsorption expansion effect, the relationship between gas permeability. and porosity of coal mass is established, and the coal and gas coupling mathematical model is established. Through the numerical simulation analysis of the model, combined with the actual measurement, the validity of the model is verified. The reliable mathematical basis is provided for the deep research on the mechanism of coal and gas outburst.