一种断层面约束下的Delaunay三角剖分与等值线生成算法  

An algorithm for Delaunay triangulation and contour generation under the constraints of fault surfaces

作　　者：宋建国[1] 许永超 SONG Jianguo;XU Yongchao(School of Geosciences in China University of Petroleum(East China),Qingdao 266580,China)

机构地区：[1]中国石油大学(华东)地球科学与技术学院,山东青岛266580

出　　处：《中国石油大学学报(自然科学版)》2023年第6期35-42,共8页Journal of China University of Petroleum(Edition of Natural Science)

基　　金：中石油重大科技项目(ZD2019-181-003);国家自然科学基金面上项目(41674125)。

摘　　要：传统等值线算法在生成等值线图时,往往采用先生成等值线后抠除断层多边形的方法,或者采用先抠除断层多边形再直接生成等值线的方法。这两种方法均忽略了断层处的层位信息,因而在断层面附近的精度达不到现代油气资源勘探的要求。对断层面与解释层位交点进行精细处理,通过对断层数据的细分加密得到断层面的精确控制点序列,使用Clough-Tocher插值方法进行插值,获得断层面处层位点的高程,提高等值线在断层面处的精度。研究断层面约束的Delaunay三角剖分,设计光滑等值线快速生成算法。形成断层面约束下的层位等值线自动生成技术模块。结果表明,该方法不仅提高等值线绘制的精度,同时也有效降低等值线查找的复杂度,提高了计算效率。Two traditional contour algorithms are commonly used for generating contour maps.The first method involves gen-erating contour lines before removing fault polygons,while the second method removes fault polygons first and then generates contour lines.Both of these approaches overlook the horizon information at the fault,leading to inaccuracies near the fault that dont meet the requirements of modern oil and gas exploration.In this paper,the intersection of the fault plane and the interpretation horizon is processed meticulously.Initially,the precise control point sequence of the fault plane is obtained by subdividing and densifying the fault data.Then,using Clough-Tocher interpolation,the precise control point sequenceis in-terpolated to obtain the elevation of the layer point at the fault plane.This method effectively enhances the accuracy of the contour at the fault plane.The study explores Delaunay triangulation constrained by fault plane and designs a fast generation algorithm for smooth contours.A technology module for the automatic generation of horizon contours under the constraint of the fault plane is developed.The results show that this method not only improves the accuracy of contour drawing,but also effectively reduces the complexity of contour search and improves calculation efficiency.

关 键 词：断层面约束 DELAUNAY三角剖分 α-shape算法 等值线 高精度插值 

分 类 号：TE122.1[石油与天然气工程—油气勘探]