Mathematical model of one-dimensional penetration stability failure for gaseous coal

被引:0
|
作者
Xie Y. [1 ]
Wang L. [1 ]
Liu D. [2 ]
Xie H. [3 ]
机构
[1] School of Earth and Environment, Anhui University of Science and Technology, Huainan
[2] School of Resources and Environmental Engineering, Hefei University of Technology, Hefei
[3] Institute of Hydrology and Water Resources Engineering, Zhejiang University, Hangzhou
来源
Xie, Yan (yxie@aust.edu.cn) | 2017年 / Inderscience Enterprises Ltd., 29, route de Pre-Bois, Case Postale 856, CH-1215 Geneva 15, CH-1215, Switzerland卷 / 17期
关键词
Coal and gas outburst; Mathematical model; Numerical simulation; Outburst intensity; Seepage;
D O I
10.1504/PCFD.2017.081716
中图分类号
学科分类号
摘要
Based on the theory of fluid dynamics in porous media, combined with the gas state equation, Darcy's law and the discriminant equation of one-dimensional seepage instability, a mathematical model of one-dimensional penetration stability failure is established to study the seepage damage law of coal seam. Assuming that the background pressure of the coal wall is attenuated according to the exponential law, the mathematical equation is solved by using the finite difference method. Furthermore, the process of coal bed instability which is supposed as a form of a 'sublayer' pushing forward was analysed. That is, the coal bed loses its stability layer by layer. The calculation results showed that the thickness of the failure sublayer decreases with the reduction of coal permeability and the acceleration of dissipation rate of the background pressure. The model provides a method which can analyse the outburst process and its intensity quantitatively. © 2016 The Author(s).
引用
收藏
页码:27 / 33
页数:6
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