煤矿区矸石山塑性极限可靠度分析

Plastic upper bound theory reliability analysis of coal gangue hills

从塑性极限分析上限定理出发,结合可靠性分析方法(JC法),建立矸石山塑性极限分析可靠度极限状态函数,给出基于塑性极限分析条分法的矸石山滑坡可靠度指标的计算方法,并对矸石山滑坡稳定性进行了分析。结果表明,在进行矸石山稳定性计算时,如不考虑矸石散体参数的变异性,采用极限平衡理论计算得出的安全系数则存在一定的风险。在参数变异性较大时,采用可靠度方法进行矸石山的稳定性评价更能体现工程实际。

We established the plasticity limit analysis reliability limit state equation and the reliability calculating formula for gangue hills using the JC method. This work was based on the plasticity mechanics limit analysis upper bound theory and traditional slice methods. A reliability index of gangue hill stability was derived using this equation. It was found that the safety coefficient of gangue hills derived by the limit state equation risks failure if the variability of cohesion and internal friction angle are not considered. When the variability of the strength parameters rises, the reliability theory more consistently projects practicality than the limit state equation for gangue hill stability assessment.