考虑地层空间各向异性的地质建模插值算法  

Geological Modeling Interpolation Algorithm Considering Spatial Anisotropy of Strata

作　　者：郁军建 闵浩坤 王斐斐 李健[2] YU Junjian;MIN Haokun;WANG Feifei;LI Jian(Henan Earthquake Agency,Zhengzhou 450016,China;School of Earth Science and Technology,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]河南省地震局,河南郑州450016 [2]郑州大学地球科学与技术学院,河南郑州450001

出　　处：《郑州大学学报（工学版）》2024年第6期107-113,共7页Journal of Zhengzhou University（Engineering Science）

基　　金：国家自然科学基金资助项目(42271459);河南省地震构造探查工程项目。

摘　　要：针对传统地质建模插值算法精度不足、区域特征表达程度不够,且没有顾及地质空间各向异性等问题,提出了一种顾及地质空间各向异性的三维地质插值方法。在传统IDW插值的基础上,通过构造虚拟钻孔、模拟构建原始地层点集和调整IDW插值椭圆搜索范围参数,最终获得最优搜索参数的自适应性转变;还提出了方向标志点概念,通过膨胀与塌缩实现了搜索区域的二次优化。利用《郑州市城市活动断层探测项目》地质钻孔数据,逐层分析了各算法的区域适应性,实现了三维地质模型的隐式曲面表达,并与常用插值算法进行交叉验证,结果表明:所提方法具有良好的区域自适应性,能够有效表达城市地下空间结构的各向异性特征,在保证插值精度的同时,有效表达了区域内地层的实际延展情况。To address the issues of insufficient precision,inadequate representation of regional characteristics,and the lack of consideration for geological spatial anisotropy in traditional geological modeling interpolation algorithms,in this study a three-dimensional geological interpolation method was proposed to take into account geological spatial anisotropy.Building upon the traditional IDW interpolation,this method involved constructing virtual boreholes,simulating the creation of an original stratum point set,and adjusting the parameters of the IDW interpolation ellipse search range to ultimately achieve an adaptive transformation of the optimal search parameters.Additionally,in this study the concept of"directional marker points"was introduced to achieve a secondary optimization of the search area through"expansion"and"collapse".Geological borehole datas from the Zhengzhou Urban Active Fault Detection Project,were used to analyze the regional adaptability of each algorithm layer by layer,implement the implicit surface representation of the three-dimensional geological model,and conduct cross-validation with commonly used interpolation algorithms.The experiment results demonstrated that the proposed method possessed good regional adaptability and could effectively represent the anisotropic characteristics of urban underground spatial structures.While ensuring interpolation accuracy,it could effectively expresse the actual extension of strata within the region.

关 键 词：IDW插值 各向异性 地质建模 三维插值算法 

分 类 号：P624[天文地球—地质矿产勘探]