基于空间变异修正普通克里金的矿区复杂地形高精度建模

doi:10.13474/j.cnki.11-2246.2022.0334

测绘通报 ›› 2022, Vol. 0 ›› Issue (11): 106-111.doi: 10.13474/j.cnki.11-2246.2022.0334

基于空间变异修正普通克里金的矿区复杂地形高精度建模

于广婷^1,2, 刘同文^1,2, 王琦³, 潘懋⁴, 李涛^1,2, 宋冠涵^1,2, 刘善伟⁵

1. 山东省地质测绘院, 山东济南 250002;
2. 山东省地矿局地质大数据开发应用工程技术研究中心, 山东济南 250002;
3. 山东建筑大学测绘地理信息学院, 山东济南 250101;
4. 北京大学地球与空间科学学院, 北京 100871;
5. 中国石油大学(华东), 山东青岛 266580

收稿日期:2022-02-14 发布日期:2022-12-08
通讯作者: 王琦,E-mail:wangqi19@sdjzu.edu.cn
作者简介:于广婷(1974-),女,硕士,研究员,主要从事3S技术研究与应用。E-mail:497004861@qq.com
基金资助:
山东省地质矿产开发局科技创新项目(KY201954);国家自然科学基金(41301509)

High-precision modeling of complex terrain in mining areas based on spatial variability modified ordinary Kriging method

YU Guangting^1,2, LIU Tongwen^1,2, WANG Qi³, PAN Mao⁴, LI Tao^1,2, SONG Guanhan^1,2, LIU Shanwei⁵

1. Shandong Institute of Geological Surveying and Mapping, Jinan 250002, China;
2. Engineering Research Center for Geological Big Data Development and Application, Shandong Provincial Bureau of Geology and Mineral Resources, Jinan 250002, China;
3. School of Surveying and Geo-Informatics, Shandong Jianzhu University, Jinan 250101, China;
4. College of Earth and Space Sciences, Peking University, Beijing 100871, China;
5. China University of Petroleum, Qingdao 266580, China

Received:2022-02-14 Published:2022-12-08

摘要/Abstract

摘要： 普通克里金法是构建矿区三维地形模型并揭示地表沉陷形变场动态变化规律的有效方法。但普通克里金法存在平滑效应的问题,导致估计值的空间变异程度小于实际,无法真实反映矿区复杂地表形态的空间变化特征。本文结合矿区实际地形采样数据,提出了一种空间变异修正的普通克里金法,并将其应用于矿区复杂地形的高精度建模,并与已有方法在建模精度和空间变异性复现方面进行了对比分析。研究结果表明,空间变异修正的普通克里金法能够很好地处理平滑效应对建模的影响,具有更高的建模精度和空间变异性复现能力,在矿区复杂地形高精度建模应用中具有较强的适用性,可以作为一种可靠的建模工具用于矿区复杂地形沉陷形变场动态变化规律分析。

关键词: 矿区, 复杂地形, 高精度表面建模, 普通克里金, 空间变异修正

Abstract: The ordinary Kriging method is an effective method to construct a three-dimensional terrain model of the mining areas and reveal the dynamic changes of the surface subsidence deformation field. However, the ordinary Kriging method presents the problem of the smoothing effect, which causes the underestimation of spatial variability and fails to truly reflect the complex surface morphological characteristics of the mining areas. In this paper, a OK-SVM (spatial variability modified ordinary Kriging) method is adopted for the application experiment of high-precision modeling of the complex terrain based on the real sampling data in a mining area, and a comparative analysis is made with the existing methods in terms of modeling accuracy and spatial variability reproduction. The results show that this method can reduce the influence of the smoothing effect on modeling and provides higher modeling accuracy and spatial variability reproduction ability, which has strong applicability in the application of high-precision modeling of complex terrain in mining areas. It can be used as a reliable modeling tool to analyze the dynamic variation pattern of complex surface subsidence deformation fields in mining areas.

Key words: mining areas, complex terrain, high-precision surface modeling, ordinary Kriging, spatial variability modification

中图分类号:

P258

于广婷, 刘同文, 王琦, 潘懋, 李涛, 宋冠涵, 刘善伟. 基于空间变异修正普通克里金的矿区复杂地形高精度建模[J]. 测绘通报, 2022, 0(11): 106-111.

YU Guangting, LIU Tongwen, WANG Qi, PAN Mao, LI Tao, SONG Guanhan, LIU Shanwei. High-precision modeling of complex terrain in mining areas based on spatial variability modified ordinary Kriging method[J]. Bulletin of Surveying and Mapping, 2022, 0(11): 106-111.

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基于空间变异修正普通克里金的矿区复杂地形高精度建模

High-precision modeling of complex terrain in mining areas based on spatial variability modified ordinary Kriging method

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