基于突水灾害类型和突水灾变模式的系统分析,提出防突关键体概念,建立防突关键层与关键块的力学模型,外力扰动则简化为平面应力波,建立防突关键层失稳与动荷载诱发岩块失稳突水的突变模型,并基于系统能量的平衡分析获得局部突变的分岔集,导出了突水（泥）的失稳判据,发现不但取决于防突结构的几何尺寸、材料性质、水压等因素,还与外荷载的强度和频率有很大关系。基于动载动力特性的数值分析,研究了不同动载振幅、频率对最小防突关键体厚度的影响,进而提出＂小进尺、弱爆破＂等预防突水灾害的防治措施。%According to the water burst type and its mode,the concept of key mass for water preventing was put forward,based on solid rock structure and its size difference,the mechanical model of key block and key strata was established.Based on the external disturbance form of harmonic wave,the catastrophic model of double cusp for instability of the critical rock layer for water bursting induced by dynamic disturbances was established,and its condition of instability is worked out.The instability criterion and minimum critical rock layer was confirmed according to the instability condition,which are effected not only by the geometry size,material properties and water pressure of key stratum,but also the amplitude and frequency of external force disturbance.The influence of amplitude,frequency of dynamic disturbances on critical rock layer was studied by numerical analysis,and the mechanism of small footage and weak blast to lessen rock damage is put forward.
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