Abstract As coal and gas outburst is a frequent disaster and its mechanism still unclear, consistent numerical modeling is indispensable to enable further investigations owing to difficulties in field observation. As gas-bearing coal with outburst proneness is considered a granular material, the outburst phenomenon is described by a solid-fluid transition that is developed in gas-bearing coal. Inter particle meso-contacts become bondless while the gas-bearing coal is sufficiently degraded. The solid-fluid transition occurs in case of the vanishing second-order work ( d 2 w ) when the gas pressure threshold ( p t ) is satisfied. A unified model for describing the consistent process of outburst is established herein. Finite elements method with Lagrangian integration points (FEMLIP) is used to model solid-fluid transition behavior of gas-bearing coal. The numerical results present the entire process of the outburst and satisfies a four-stage description. The unified model for outburst is beneficial for the study of the outburst mechanism.

中文翻译：

---

具有煤和瓦斯突出的固-流转变和 FEMLIP 建模的统一模型

摘要 煤与瓦斯突出是一种常见灾害，其机制尚不清楚，由于现场观测困难，一致的数值模拟是进一步调查的必要条件。由于具有突出倾向的含气煤被认为是粒状材料，因此突出现象被描述为在含气煤中发展的固-流转变。当含气煤充分降解时，颗粒间细观接触变得无键。当满足气体压力阈值 (pt) 时，在二阶功 (d 2 w ) 消失的情况下发生固-流转变。本文建立了一个统一的模型来描述一致的爆发过程。具有拉格朗日积分点的有限元方法 (FEMLIP) 用于模拟含气煤的固-流转变行为。数值结果呈现了爆发的全过程，满足四阶段描述。统一的突出模型有利于研究突出机理。