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为研究房柱式开采和条带开采的老采空区煤柱-顶板体系的稳定性,预测煤矿采空区煤柱-顶板体系稳定时间,将煤柱简化为满足西原模型的黏弹塑性体,将采空区顶板简化为弹性薄板,建立考虑煤柱黏弹塑性流变变形的采空区煤柱-顶板体系力学模型,在此模型基础上推导采空区煤柱-顶板体系稳定时间的微分方程,并采用伽辽金法进行求解。将该模型应用于某房柱式开采的老采空区稳定时间预测中,验证了力学模型的可靠性。研究表明,煤柱的黏弹塑性流变变形是导致煤柱-顶板体系失稳的重要原因,煤柱的流变变形随时间的推移而增大,最终导致煤柱-顶板体系的失稳。
In order to study the stability of the coal pillar-roof system in the old goaf with roof mining and strip mining, and to predict the coal pillar-roof system stability time in the coal mined-out area, the coal pillar was simplified to the viscoelasticity plastic body , The roof of goaf is simplified as elastic thin plate, the mechanics model of coal pillar-roof system in goaf considering the visco-elastoplastic rheological deformation of coal pillar is established, and the stability time of coal pillar-roof system in goaf is deduced based on this model Differential equations, and the use of Galerkin method to solve. The model was applied to the prediction of the stability of the old goaf with a certain column and pillar mining. The reliability of the mechanical model was verified. The results show that the viscoelasto-plastic rheological deformation of pillars is the main reason for the instability of coal pillar-roof system. The rheological deformation of coal pillar increases with the passage of time, eventually leading to the instability of coal pillar-roof system.