Geological Modeling Interpolation Algorithm Considering Spatial Anisotropy of Strata

NAVIGATE

Table of Contents

STATISTICS

Viewed353

Downloads376

Geological Modeling Interpolation Algorithm Considering Spatial Anisotropy of Strata

[HTML] PDF下载 (376)

[1]YU Junjian,MIN Haokun,WANG Feifei,et al.Geological Modeling Interpolation Algorithm Considering Spatial Anisotropy of Strata[J].Journal of Zhengzhou University (Engineering Science),2024,45(06):107-113.[doi:10.13705/j.issn.1671-6833.2024.06.002]

Copy

Journal of Zhengzhou University (Engineering Science)[ISSN 1671-6833/CN 41-1339/T] Volume: 45 Number of periods: 2024 06 Page number: 107-113 Column: Public date: 2024-09-25

Title:: Geological Modeling Interpolation Algorithm Considering Spatial Anisotropy of Strata

Author(s):: YU Junjian¹; MIN Haokun²; WANG Feifei¹; LI Jian²; 1. Henan Earthquake Agency,Zhengzhou 450016,China; 2. School of Earth Science and Technology,Zhengzhou University,Zhengzhou 450001,China

Keywords:: IDW interpolation; anisotropy; geological modeling; three-dimensional interpolation algorithm

CLC:: P624

DOI:: 10.13705/j.issn.1671-6833.2024.06.002

Abstract:: To address the issues of insufficient precision, inadequate representation of regional characteristics, andthe 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 spatialanisotropy. 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 ellipsesearch range to ultimately achieve an adaptive transformation of the optimal search parameters. Additionally, in thisstudy the concept of " directional marker points" was introduced to achieve a secondary optimization of the searcharea 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 commonlyused 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.

References:: [1] 李青元, 张洛宜, 曹代勇, 等. 三维地质建模的用途、现状、问题、趋势与建议 [ J] . 地质与勘探, 2016, 52(4) : 759-767.
LI Q Y, ZHANG L Y, CAO D Y, et al. Usage, status,problems, trends and suggestions of 3D geological modeling[ J] . Geology and Exploration, 2016, 52( 4) : 759 -767.
[2] 李小根, 王安明. 基于 GIS 的滑坡地质灾害预警预测系统研究 [ J] . 郑州大学学报 ( 工学版) , 2015, 36(1) : 114-118.
LI X G, WANG A M. The research of the early warningsystem about the geological disasters based on GIS [ J] .Journal of Zhengzhou University ( Engineering Science) ,2015, 36(1) : 114-118.
[3] GUO J T, WANG X L, WANG J M, et al. Three-dimensional geological modeling and spatial analysis fromgeotechnical borehole data using an implicit surface andmarching tetrahedra algorithm[ J] . Engineering Geology,2021, 284: 106047.
[4] 王金鑫, 秦子龙, 曹泽宁, 等. 基于八叉树的修正克里金空间插值算法 [ J] . 郑州大学学报 ( 工学版) ,2021, 42(6) : 21-27.
WANG J X, QIN Z L, CAO Z N, et al. Modified Krigingspatial interpolation algorithm based on octree mechanism[ J] . Journal of Zhengzhou University ( Engineering Science) , 2021, 42(6) : 21-27.
[5] 贾立娟. 基于钻孔数据的三维地质建模插值算法研究[D] . 北京: 中国地质大学(北京) , 2018.
JIA L J. Research on 3D geological modeling interpolation algorithm based on drilling data[ D] . Beijing: ChinaUniversity of Geosciences, 2018.
[6] 王威, 周杰, 王水林, 等. 基于径向基函数的三维地层分块建模方法研究[ J] . 岩土力学, 2012, 33( 3) :939-944.
WANG W, ZHOU J, WANG S L, et al. Research onthree-dimensional modeling of strata block based on radialbasis function[ J] . Rock and Soil Mechanics, 2012, 33(3) : 939-944.
[7] 程明华. 基于 GIS 的地层产状空间插值方法研究[D] . 北京: 中国地质大学(北京) , 2010.
CHENG M H. Method research of spatial interpolation forthe stratum attitude based on GIS[D] . Beijing: China University of Geosciences, 2010.
[8] LI Z L. An enhanced dual IDW method for high-qualitygeospatial interpolation [ J ] . Scientific Reports, 2021,11: 9903.
[9] 冯波, 陈明涛, 岳冬冬, 等. 基于两种插值算法的三维地质建模对比[ J] . 吉林大学学报( 地球科学版) ,2019, 49(4) : 1200-1208.
FENG B, CHEN M T, YUE D D, et al. Comparison of3D geological modeling based on two different interpolation methods[ J] . Journal of Jilin University ( Earth Science Edition) , 2019, 49(4) : 1200-1208.
[10] CHEN F W, LIU C W. Estimation of the spatial rainfalldistribution using inverse distance weighting ( IDW ) inthe middle of Taiwan [ J ] . Paddy and Water Environment, 2012, 10(3) : 209-222.
[11] 张锦明, 郭丽萍, 张小丹. 反距离加权插值算法中插值参数对 DEM 插值误差的影响[ J] . 测绘科学技术学报, 2012, 29(1) : 51-56.
ZHANG J M, GUO L P, ZHANG X D. Effects of interpolation parameters in inverse distance weighted methodon DEM accuracy[ J] . Journal of Geomatics Science andTechnology, 2012, 29(1) : 51-56.
[12] 段平, 盛业华, 李佳, 等. 自适应的 IDW 插值方法及其在气温场中的应用[ J] . 地理研究, 2014, 33( 8) :1417-1426.
DUAN P, SHENG Y H, LI J, et al. Adaptive IDW interpolation method and its application in the temperaturefield[ J] . Geographical Research, 2014, 33( 8) : 1417-1426.
[13] ROBERTS E A, SHELEY R L, LAWRENCE R L. Usingsampling and inverse distance weighted modeling for mapping invasive plants[ J] . Western North American Naturalist, 2004, 64(3) : 312-323.
[14] LI J, DUAN P, SHENG Y H, et al. Spatial interpolationapproach based on IDW with anisotropic spatial structures[C]∥SPIE Proceedings International Conference on Intelligent Earth Observing and Applications 2015. Washingtion, D. C. : SPIE, 2015: 1-6.
[15] 颜金彪, 吴波, 何清华. 顾及各向异性的多参数协同优化 IDW 插值方法 [ J] . 测绘学报, 2021, 50 ( 5) :675-684.
YAN J B, WU B, HE Q H. An anisotropic IDW interpolation method with multiple parameters cooperative optimization [ J ] . Acta Geodaetica et Cartographica Sinica,2021, 50(5) : 675-684.
[16] 李璐, 刘新根, 吴蔚博. 基于钻孔数据的三维地层建模关键技术 [ J ] . 岩土力学, 2018, 39 ( 3 ) : 1056 -1062.
LI L, LIU X G, WU W B. Key technology of 3D stratummodelling based on borehole data[ J] . Rock and Soil Mechanics, 2018, 39(3) : 1056-1062.
[17] 徐学闯,张恒兵,符韶华等. 基于钻孔伪标签半监督深度学习的沈阳市浅表地层三维建模研究[ J] . 地理与地理信息科学,2023,39(6) :9-17.
XU X C, ZHANG H B, FU S H, et al. Three-dimensional modeling of shallow strata in shenyang city based onpseudo-labels and semi-supervised deep learning of boreholes [ J ] . Geography and Geo-information Science,2023,39(6) : 9-17.
[18] 陈应军, 严加永. 澳大利亚三维地质填图进展与实例[ J] . 地质与勘探, 2014, 50(5) : 884-892.CHEN Y J, YAN J Y. Progress and examples of three-dimensional geological mapping in Australia [ J] . Geologyand Exploration, 2014, 50(5) : 884-892.
[19] 梁栋. 三维地质模型不确定性分析方法研究[ D] . 武汉: 中国地质大学, 2021.
LIANG D. Research on the methods of uncertainty analysis of three-dimensional geological model [ D] . Wuhan:China University of Geosciences, 2021.
[20] 林冰仙, 周良辰, 闾国年. 虚拟钻孔控制的三维地质体模型构建方法[ J] . 地球信息科学学报, 2013, 15(5) : 672-679.
LIN B X, ZHOU L C, LYU G N. A 3D geological modelconstruction approach based on virtual boreholes [ J ] .Journal of Geo-Information Science, 2013, 15(5) : 672-679.
[21] 李亦纲, 曲国胜, 陈建强. 城市钻孔数据地下三维地质建模软件的实现[ J] . 地质通报, 2005, 24(5) : 470-475.
LI Y G, QU G S, CHEN J Q. Realization of a 3D subsurface geological modeling software in urban areas basedon borehole data[ J] . Regional Geology of China, 2005,24(5) : 470-475.
[22] 李健, 刘沛溶, 梁转信, 等. 多源数据融合的规则体元分裂三维地质建模方法 [ J] . 岩土力学, 2021, 42(4) : 1170-1177.
LI J, LIU P R, LIANG Z X, et al. Three-dimensionalgeological modeling method of regular voxel splittingbased on multi-source data fusion[ J] . Rock and Soil Mechanics, 2021, 42(4) : 1170-1177.
[23] LIU Z, ZHANG Z L, ZHOU C Y, et al. An adaptive inverse-distance weighting interpolation method consideringspatial differentiation in 3D geological modeling[ J] . Geosciences, 2021, 11(2) : 51.
[24] 孙梦楠, 刘少华, 刘京城. 顾及空间各向异性的 IDW插值算法[J]. 计算机工程与设计, 2020, 41(4): 983-987.
SUN M N, LIU S H, LIU J C. IDW interpolation algorithm considering spatial anisotropy[ J] . Computer Engineering and Design, 2020, 41(4) : 983-987.
[25] 李正泉, 吴尧祥. 顾及方向遮蔽性的反距离权重插值法[ J] . 测绘学报, 2015, 44(1) : 91-98.
LI Z Q, WU Y X. Inverse distance weighted interpolationinvolving position shading[ J] . Acta Geodaetica et Cartographica Sinica, 2015, 44(1) : 91-98.

Similar References:

Memo

Last Update: 2024-09-29