地质结构重叠域的限定Delaunay三角剖分研究

Conforming Delaunay Triangulation for Geological Structure with Overlapping Domains

在石油储量分析的三维地质建模中出现了重叠域 ,需要采用特殊处理使之能应用通常的三角网格剖分算法 通过引入桥边和相交环线的概念 ,提出了区域子分和联动剖分算法 ,为重叠域的限定Delaunay三角剖分给出了一种工程处理方法 ,并给出了该方法对三维地质建模中逆断层剖分的实例 该方法在机械零件的复杂裂纹区应力分析。

When the fault zone of geological structure results in overlapping domain in 2D projection, special measures should be taken allow the application of the common approach of conforming Delaunay triangulation. In this paper, the concepts of bridge edge and fault zone loop are introduced to convert the overlapping domain into regular single-connected ones. Two algorithms called “domain subdivision” and “associated tessellation” are worked out to realize the conversion. As an example, the conforming Delaunay triangulation of reverse fault zone in 3D geological structure is presented. This approach may be useful for solving the problems in finite element analysis of mechanical parts with complicated configuration of cracks, composite structure with non-manifold interfaces and other applications.