块体可动性判断的几何算法研究  

Study on geometric algorithm for judging block removability

作　　者：徐栋栋[1] 李波[1] XU Dongdong;LI Bo(Key Laboratory of Geotechnical Mechanics and Engineering of the Ministry of Water Resources, Yangtze River Scientific Research Institute,Wuhan,Hubei 430010,China)

机构地区：[1]长江科学院水利部岩土力学与工程重点实验室,湖北武汉430010

出　　处：《山东科技大学学报（自然科学版）》2020年第4期113-120,共8页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：国家重点研发计划项目(2018YFC0407002);国家自然科学基金项目(11502033,51879014,51579016)。

摘　　要：在地质素描图上人为地搜寻可动块体是岩石块体稳定性分析的一种技术手段,但这依赖于较强的工程经验。全空间赤平投影是一种纯几何分析的方法,提供了块体可动性判别所需的相关信息。但仍处于需要人为判断的初级阶段,尤其当开挖面过多时,这种处理方式显得更为繁琐且更容易出错。为了解决这一问题,提出一种块体可动性判断的计算机自动识别算法。首先离散化各投影圆,然后采用拓扑几何搜索算法确定节理锥和开挖锥的具体几何形态。进而采用计算几何的理论来判断两者之间的交割关系,实现块体可动性的自动化分析。针对这一算法,编制了相应的计算程序,通过工程案例分析,证实了方法的正确性。As a technical means of block stability analysis,search for removable blocks on geological sketch map artificially,depends greatly on rich engineering experience.Whole space stereographic projection,as a pure geometric analysis method,can provide relevant information needed to judge the block removability,but because it is still in the primary stage of human judgment,this treatment is more cumbersome and prone to errors especially when there are too many excavation faces.In order to solve this problem,an automatic recognition algorithm for block removability judgment was proposed.Firstly,the projection circles were discretized and the geometries of the joint pyramid and excavation pyramid were determined by the topological geometry search algorithm.Then,the theory of computational geometry was used to judge the overlap relationship between them and the automatic analysis of block mobility was realized.Finally,the the proposed method was validated by analyzing engineering cases with the computational programs specifically designed for this algorithm.

关 键 词：关键块体 开挖锥 节理锥 有限性 可动性 几何算法 

分 类 号：TU457[建筑科学—岩土工程]