柱式开采岩爆发生条件与时间效应的尖点突变

来源期刊：中国有色金属在线1997年第2期

论文作者：徐曾和 徐小荷

文章页码：17 - 23

关键词：岩爆发生条件 岩爆滞后时间 尖点突变 粘弹性

Key words：occurrence condition of rockbursts hysteresis time of rockbursts cusp catastrophy viscoelasticity

摘    要：用尖点突变理论研究了柱式开采下厚层状粘弹性顶板岩爆的非稳定机制与滞后现象，阐明了只有刚度比满足使能量突然释放的条件和外界能对系统提供足够能量 的条件下才能发生岩爆；岩爆滞后是由于控制参数变化需要经过一段时间才能满足分 岔集方程所致；还导出了岩爆最大可能滞后时间，并对影响最大滞后时间的因素进行了讨论。

Abstract: The instability mechanism of the pillar rockbursts , which is under a thick, viscoelastic roof stratum, was discussed by applying the cusp catastrophic theory. It was explicated that the rockbursts take place only when the stiffness ratio satisfies the condition enabling energy to release abruptly, and the system has accepted enough energy from external world. It is the cause of the rockbursts hysteresis that a piece of period is needed before the control variates satisfy the equation of bifurcation-set, and the factors influencing the hysteresis time were discussed.