基于Voronoi图的不规则煤柱稳定性分析

基于规则煤柱的稳定性理论，提出了不规则煤柱有效宽度的概念，通过引入计算几何的Voronoi图确定了不规则煤柱的从属面积，建立了不规则煤柱稳定性评价方法.单一煤柱的失效将使载荷转移到其邻近煤柱上并引起该煤柱过载，这种渐进过载过程导致了煤柱不稳定破坏的“多米诺”效应，从而引发大面积突然塌陷灾害的发生.

Stability analysis of irregular coal pillars based on Voronoi diagram

Based on the theorem of regular pillar stability,the concept of efficient width of irregular coal pillar was proposed and the Voronoi diagram was introduced to determine the tributary area.A new approach to analyze the stability of irregular pillar was established.The calculating results demonstrate that a single pillar inadvertently fail the load could be transferred to adjacent pillars causing those to be overload.This successive overloading process leads to an unstable progressive "Domino" effect whereby large areas sudden collapse occurs.