融合自适应网格剖分与三维空间变密度模型的重力数据高精度地形校正方法

    High-Precision Gravity Terrain Correction Method Integrating Adaptive Meshing and 3D Spatially Variable Density

    • 摘要: 针对重力勘探中传统地形校正因规则网格离散及常密度假设导致的“台阶效应”和物性失真问题,本文提出一种融合自适应网格剖分与三维空间变密度模型的重力数据高精度地形校正方法。该方法首先以地形坡度和粗糙度为特征判别准则,通过自适应三角网算法实现复杂地表的精细剖分,平衡了拟合精度与计算效率。其次,利用反距离加权法与径向基函数构建连续可导的三维空间变密度模型。最后,结合多面体引力场理论实现了变密度单元的正演计算。模型实验表明,该方法的均方根误差显著优于传统规则网格与常规非规则网格方法,为复杂地质条件下的高精度重力数据处理提供了可靠的技术方案。

       

      Abstract: Aiming at the problems of staircase effect and physical property distortion caused by regular grid discretization and constant density assumption in traditional terrain correction for gravity exploration, this study proposes a high-precision terrain correction method integrating adaptive mesh generation and a 3D spatially variable density model. Firstly, taking terrain slope and roughness as characteristic criteria, the adaptive triangular mesh algorithm is adopted to realize refined discretization of complex surface topography, balancing fitting accuracy and computational efficiency. Secondly, a continuously differentiable 3D spatially variable density model is constructed using the inverse distance weighting method and radial basis functions. Finally, the forward calculation of variable-density elements is realized combined with the polyhedral gravitational field theory. Model experiments show that the root-mean-square error of the proposed method is significantly superior to those of traditional regular grid and conventional irregular grid methods, providing a reliable technical solution for high-precision gravity data processing under complex geological conditions.

       

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