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为分析采空区顶板-矿柱体系的稳定性,并预测采空区的稳定时间,采用薄板理论、流变力学和损伤力学理论,建立了采空区顶板-矿柱体系蠕变损伤力学模型。在此模型基础上推导采空区顶板挠度的微分方程,根据采空区顶板在不同阶段的边界条件采用伽辽金方法对该微分方程进行了求解,并在排山楼金矿老采空区进行了工程应用,将预测结果与现场监测结果进行了对比分析,验证了模型的可靠性。研究表明:建立的力学模型能够较准确地运用于采空区稳定时间预测;矿柱的流变变形随时间延长逐渐增大,如不采取加固措施,排山楼金矿老采空区将出现顶板-矿柱体系的坍塌。
In order to analyze the stability of roof-pillar system in goaf and predict the stability time of goaf, the creep damage mechanics model of roof-pillar system in goaf is established by using the thin-plate theory, rheological mechanics and damage mechanics theory . Based on this model, differential equations of roof deflection of goaf are deduced. According to the boundary conditions of gob roof at different stages, the differential equations are solved by Galerkin method. The engineering application was carried out. The predicted results were compared with the field monitoring results to verify the reliability of the model. The results show that the established mechanical model can be applied to the prediction of the stable time of goaf more accurately and the rheological deformation of pillars gradually increases with time. If no reinforcement measures are taken, the old goaf of the Paishanlou Gold Mine will appear Roof - pillar system collapse.