空间分布约束下的非直接测量式站址土壤电阻率三维重建

3D Reconstruction of Site Soil Resistivity via Non-Direct Measurement Under Spatial Distribution Constraints

中文关键词:非直接测量  土壤电阻率  三维重建  反距离插值  电阻率空间分布约束

keywords:non-direct measurement  soil resistivity  3D reconstruction  inverse distance interpolation  spatial distribu-tion constraint of resistivity

中文摘要:针对城市户内变电站、山区输电线路站址等复杂场景中，传统直接测量方法因空间受限难以获取深层土壤电阻率数据的问题，提出一种融合电阻率空间分布约束与动态递归K维树（K-dimensional tree，KD-Tree）近邻点搜索的反距离插值算法（inverse distance weighting，IDW），实现站址深层土壤电阻率的非直接测量式三维重建。首先，通过电阻率空间分布约束，确保插值结果符合土壤电阻率的实际空间变化规律，解决传统方法重建结果地质合理性不足的问题；其次，采用动态递归策略与 KD-Tree 近邻点搜索机制，高效定位最优参考数据点，突破传统反距离插值数据利用效率低的瓶颈；最后，选取2个典型站址，对15~60 m深度范围内的土壤电阻率开展重建实验验证。结果表明，所提算法的电阻率分层识别平均误差≤12%，重建精度较传统方法显著提升。该研究为非直接测量场景下土壤电阻率高精度三维重建提供了新的技术路径，也为变电站、输电线路站址接地系统的优化设计奠定了重要技术基础。

Abstract:In complex scenarios such as urban indoor substations and mountainous transmission line sites，traditional direct measurement methods are difficult to obtain deep soil resistivity data due to space constraints. To address this problem，an inverse distance weighting （IDW） algorithm integrating spatial distribution constraints of resistivity and k-dimensional tree （KD-Tree） neighbor point search with a dynamic recursive strategy is proposed to realize indirect measurement-based 3D reconstruction of deep soil resistivity at station sites. Firstly，the spatial distribution constraints of resistivity are adopted to ensure that the interpolation results conform to the actual spatial variation law of soil resistivity，which solves the problem of insufficient geological rationality in the reconstruction results of traditional methods. Secondly，a dynamic recursive strategy combined with the KD-Tree neighbor point search mechanism is used to efficiently locate the optimal reference data points，breaking through the bottleneck of low data utilization efficiency in traditional inverse distance weighting interpolation. Finally，two typical station sites are selected to carry out reconstruction experiments and verification on soil resistivity in the depth range of 15~60 m. The results show that the average error of resistivity stratification identification of the proposed algorithm is ≤12%，and the reconstruction accuracy is significantly higher than that of traditional methods. This study provides a new technical approach for high-precision 3D reconstruction of soil resistivity in indirect measurement scenarios，and also lays a solid technical foundation for the optimal design of grounding systems for substations and transmission line station sites.