This study presents experimental results from assessing fault orientation using triangulation and a combinatorial algorithm. We constructed two geological surfaces with vertical and inclined faults. These surfaces were documented by boreholes and represented by triangulated surfaces. We first calculated orientations for a small sample of triangles genetically related to faults that were also members of the Delaunay triangulation. To reduce the epistemic uncertainty regarding the true fault strike, we applied a combinatorial algorithm that allowed us to investigate the orientation distribution of all planes genetically related to the fault. The experiment revealed three unintuitive effects that require further studies: 1) greater concentration of observations about the true dip direction; 2) the same dip direction for different triangles; and 3) triangles that dip in the opposite direction to the fault. To conduct spatial clustering within surfaces, we suggest considering a broader interval of orientations related to faults. This broader interval serves to honor the observation that orientations can be genetically related to faults, even if they indicate a relatively high directional within-dissimilarity. We suggest statistical methods for circular data to investigate the resulting distributions. The computer code associated with this study is open source and freely available.

这项研究提出了使用三角剖分和组合算法评估断层方位的实验结果。我们构造了两个具有垂直断层和倾斜断层的地质面。这些表面由钻孔记录，并由三角表面表示。我们首先为与断层遗传相关的小三角形样本计算了方向，这些断层也是Delaunay三角剖分的成员。为了减少关于真实断层走向的认知不确定性，我们应用了组合算法，该算法使我们能够研究与断层遗传相关的所有平面的方向分布。实验揭示了三种不直观的影响，需要进一步研究：1）关于真实倾角方向的观察结果更加集中；2）不同的三角形具有相同的倾角方向；3）与断层方向相反的三角形。为了在表面内进行空间聚类，我们建议考虑与断层有关的更宽的定向间隔。这个较宽的间隔有助于证实以下观点：定向可能与断层在遗传上相关，即使它们指示相对较高的方向内相异性也是如此。我们建议使用循环数据的统计方法来调查结果分布。与这项研究相关的计算机代码是开源的，可以免费获得。即使它们指示相对较高的方向内相异性。我们建议使用循环数据的统计方法来调查结果分布。与这项研究相关的计算机代码是开源的，可以免费获得。即使它们指示相对较高的方向内相异性。我们建议使用循环数据的统计方法来调查结果分布。与这项研究相关的计算机代码是开源的，可以免费获得。