【摘要】 首次研究揭示了地表点动态下沉的分形增长规律。研究表明 ,地表点动态下沉曲线具有统计分形特征 ,符合大“z”型逐级镶嵌小“z”型的分形增长模式 ;研究实现了地表点动态下沉曲线分形插值 ,运用较少的实地下沉观测数据量 ,在一定精度范围内求得任一时刻的地表点下沉值 ,为地表点动态下沉和动态变形的认识和预测提供了新的途径 ,同时 ,通过地表动态下沉的分形增长规律来认识和揭示岩体内部移动和破坏的物理机制 ,对开采沉陷的深入研究具有重要理论价值。更多还原

【Abstract】 The regularity of the dynamic subsidence fractal increment of the ground surface point is revealed for the first time. The research results indicate that the dynamic subsidence curves of the ground surface point show statistical fractal character and follow the fractal increment model of the shape of large “z” inlaid with small “z”. The fractal interpolation in the dynamic subsidence curves of the ground surface point is realized. Based on limited subsidence data observed in site, the subsidence value of the ground surface point at any time can be evaluated in certain precision. This gives a new way to predict the dynamic subsidence and dynamic deformation of the ground surface point. At the same time, through the regularity of the dynamic subsidence fractal increment of the surface point, the physical mechanism of interior rock movement and damage is disclosed, which is of theoretical importance to study mining subsidence.更多还原