Abstract
Based on the general Biot theory of saturated porous media, a modified time-discontinuous Galerkin finite element method (MDGFEM) is presented to simulate the structural dynamics and wave propagation problems of gas-saturated coal subjected to impact loading. Numerical results of one dimension and two dimensions show that the present MDGFEM possesses better abilities and provides much more accurate solutions than the traditional Newmark method and previous DGFEM for the impact problem. It can effectively capture the discontinuities of the wave and filter out the effects of spurious numerical oscillation induced by high-frequency impulsive load. The results can provide a technological basis for the research of the prevention of coal and gas dynamic disasters under deep mining. And the method could be useful for the further numerical research of coal-rock-gas coupling problems and coal-gas-heat coupling problems subjected to impact loading.
Highlights
With the increase of coal mining depth, coal and gas outburst disasters are becoming more and more severe [1]. e mechanism of outburst accidents, which has been studied by many experts and scholars, demonstrates that the coupling scheme of gas pressure and coal structure plays a dominant role in the coal and gas outburst disasters, and the outburst accidents are always caused by different impact loading [1, 2]
One motivation of our research is to investigate the dynamic and wave propagation problem of gas-saturated coal subjected to impact loads
Various results in 1-D and 2-D are presented to demonstrate that the modified time-discontinuous Galerkin finite element method (MDGFEM) formulations are capable of producing reliable results in the problem [14]
Summary
With the increase of coal mining depth, coal and gas outburst disasters are becoming more and more severe [1]. e mechanism of outburst accidents, which has been studied by many experts and scholars, demonstrates that the coupling scheme of gas pressure and coal structure plays a dominant role in the coal and gas outburst disasters, and the outburst accidents are always caused by different impact loading [1, 2]. One motivation of our research is to investigate the dynamic and wave propagation problem of gas-saturated coal subjected to impact loads. Numerical results demonstrate that the MDGFEM illustrates better performance in numerical simulation of wave propagation in eliminating spurious numerical oscillations and in providing more accurate solutions than that of the traditional time integration method and the DGFEM before being modified. An additional artificial damping discontinuous Galerkin numerical algorithm for gas-saturated coal problems is developed on the basis of elastic-plastic saturated porous medium model [6] and previous research studies [12]. E present modeling method provides accurate numerical method for the prediction and early warning of coal and gas outburst and could be extended to the study of coal-rock-gas coupling problems and coal-gas-heat coupling problems subjected to impact loading. Σij,j + ρbi − ρu€i + ρfw€i + w_ kw_ i,k 0
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