半解析方法用于房柱式开采沉陷的三维计算

半解析数值方法具有降低维数、节省内存、建模工作量小等特点，用于三维开采沉陷计算和应力分析具有明显的优越性。基于半解析方法中的层单元和棱柱单元推导计算方法，在Visual Fortran 6.5环境下编写了可用于全采、条采和房柱式开采的三维沉陷计算和应力分析程序。以兖州矿业集团南屯煤矿房柱式开采的地质采矿条件为基础，应用三维半解析数值方法，分别对房柱式和条带式开采条件下的地表沉陷进行了三维对比模拟计算，获得了房柱式和条带式开采的控制地表沉陷的对比结果。

A semi-analytic method used in three-dimensional subsidence calculation of room and pillar mining

In this paper, the semi analytic numerical method has been used to calculate the ground subsidence and strata stress caused by mining. By means of the layer unit and the columnar unit as well as partially introducing the analytic solution and the analytic function in accordance with the geological characteristics of each underground stratum, the three dimensional analysis has been simplified. At the same time, the three dimensional semi analytic numerical analysis program has been worked out with the software platform of Visual Fortran 6 5. It is applicable to all mining geological conditions and mining methods. Based on the condition of room and pillar mining practice of Nantun Colliery, the three dimensional surface subsidence and overburden stress analysis have been studied at the condition of room and pillar and strip type exploitation by using the semi analytic numerical calculation method. Contrast result of surface subsidence caused by these two mining methods is obtained.