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基于煤层底板等高线的逆断层叠覆区全自动三角剖分
引用本文:魏竹斌,李青元,张明辉,刘洁,李青.基于煤层底板等高线的逆断层叠覆区全自动三角剖分[J].煤田地质与勘探,2018,46(1):28-34.
作者姓名:魏竹斌  李青元  张明辉  刘洁  李青
作者单位:中国矿业大学(北京)地球科学与测绘工程学院;中国测绘科学研究院地理信息工程重点实验室;辽宁工程技术大学测绘工程与地理科学学院;
基金项目:国家自然科学基金项目(41272367)
摘    要:含不完全切断的逆断层叠覆区地层界面三角剖分是困扰三维地质建模的一大难题。提出一种针对煤层底板等高线数据的逆断层叠覆区全自动三角剖分方法。该方法以叠覆区外包围环与断煤交线在局部区域内分割叠覆区为主要思想,首先利用上、下盘断煤交线进行等距离外扩在每个叠覆区外围生成一个包围环;借助外包围环将地层界面切割成有若干内洞的母体区域和若干由外包围环包围的逆断层叠覆区;然后延长叠覆区断煤交线两端点连接线并交于外包围环,使得逆断层叠覆区分割为单连通的上、下盘区,对上、下盘区和母体区分别进行常规Delaunay三角剖分后再拼接在一起;最后,移除叠覆区外包围环及所有与其有拓扑关系的三角网格,并在局部范围内重构三角网,最终实现含逆断层叠覆区的地层界面的三角剖分。经过实际数据检验证明,该方法能够实现不完全切断的逆断层叠覆区的全自动三角剖分。 

关 键 词:逆断层    叠覆区    三角剖分    包围环    三维地质建模
收稿时间:2017-02-17

Method of full-automatic triangulation for reverse faults with overlapping area based on coal seam floor contour map
Abstract:Triangulation for stratigraphic interface including reverse faults with overlapping area is a difficult problem in the field of 3D geological modeling. To solve this problem, based on coal seam floor contour map, an automatic triangulation method by adding outer surrounding ring of overlapping area is presented. Based on the idea of dividing the overlapping area in the local area,this method firstly uses fault lines to form some surrounding rings by equidistant extrapolation which enclose each reverse fault with overlapping area respectively, then uses the outer surrounding ring to cut and divide the stratigraphic interface into a parent region with several inner holes and a number of reverse faults with overlapping area surrounded by the outer surrounding ring. Secondly, for every overlapping area, the lines connecting the two end points of fault line are extended to the outer surrounding ring so that the overlapping area is divided into single-connected upper-wall zone and lower-wall zone; the conventional Constrained Delaunay Triangulation is carried out in the upper-wall zone, lower-wall zone and parent zone respectively and then the zones are spliced together. Finally, all the auxiliary outer surrounding rings added before and triangles linked with outer surrounding ring are removed and triangulation network is reconstructed in local area to realize automatic triangulation of reverse faults with overlapping area. According to the results of actual data test, this method can achieve the triangulation of the reverse fault with overlapping area that has not been completely cut off fully automatically. 
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