中国石油大学学报（自然科学版）2023，Vol.47Issue(6)：35-42,8.DOI:10.3969/j.issn.1673-5005.2023.06.004
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
摘要
Abstract
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 don't 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Key words
fault constraint/Delaunay triangulation/α-shape algorithm/contour line/high precision interpolation分类
能源科技引用本文复制引用
宋建国,许永超..一种断层面约束下的Delaunay三角剖分与等值线生成算法[J].中国石油大学学报（自然科学版）,2023,47(6):35-42,8.基金项目
中石油重大科技项目(ZD2019-181-003) （ZD2019-181-003）
国家自然科学基金面上项目(41674125) （41674125）
