随机结构面切割下的全空间块体拓扑搜索一般方法

GENERAL METHODOLOGY OF SPATIAL BLOCK TOPOLOGICAL IDENTIFICATION WITH STOCHASTIC DISCONTINUITIES CUTTING

基于拓扑学有关原理及有关文献,拓展"有向性"原理并提出"封闭性"原理。前者指棱、回路、体均有方向;后者指在块体搜索时,组成块体的各棱为2个回路的公共棱且回路在公共棱处的旋转方向相反,所有回路均被用过一次,正负体的体积和为零。然后,通过三维结构面网络模拟、结构面交线及封闭回路分析、孤立回路删除、相关回路分析、封闭块体搜索等过程,形成全空间块体拓扑搜索的一般方法。同时提出块体搜索正确性检验标准。算例分析及正确性检验结果表明,该方法可以对众多结构面切割下,形成的数量多、形态异常复杂的块体(包括凹形体)进行正确有效搜索,显示该方法具有较强的通用性和可靠性。

Based on the topology principles and literatures, the 'oriented' theorem is extended and the 'closed' theorem is brought forward. The former means edges, loops and blocks are all of orientations. The latter means every edge in a block is attached to two loops with directions being converse in the edge. All loops are used twice times during block identifications; and the total volume of all positive and negative blocks is zero. Then, by procedures of 3D discontinuities network simulation, intersecting lines and primary loops analyses, deleting isolated loops, relative loop analysis, and closed block identification, the general method of spatial block topological identification is put forward. The criteria of validity check are presented simultaneously. Case studies and validity examinations show that the method can correctly and effectively search a great number of blocks (including concaves) with complicated figures formed by numerous finite discontinuities, and indicate that the method is universal and reliable.