最小二乘配置在磁力异常数据网格化中的应用

    Application of least-squares collocation to the gridding of magnetic anomaly data

    • 摘要: 为了解决传统网格化方法在处理不规则分布的磁力异常数据时难以同时兼顾计算精度与计算效率的问题,本文将大地测量学领域经典的最小二乘配置法应用于地面磁力异常数据的网格化处理中。仿真数据和煤田实测数据的测试与分析结果表明:最小二乘配置网格化方法的计算精度取决于离散观测数据的误差估计、协方差函数的选取与拟合,误差估计越准确插值计算精度越高;采用多项式函数作为磁力异常数据处理的经验协方差函数是简单、有效的;相较于克里金法、最小曲率法和径向基函数法,最小二乘配置法在网格化处理时对噪声具有更好的压制能力。应用最小二乘配置方法进行磁力异常数据的网格化处理,能够提高数据处理的精度与计算效率。

       

      Abstract: Traditional gridding methods struggle to balance computational accuracy and efficiency when processing irregularly distributed magnetic anomaly data. To address this issue, this study applied the classic least-squares collocation method from geodesy to the gridding of ground-based magnetic anomaly data. This application was verified through the test and analysis of the simulation data and the actual coalfield data. The results indicate that the computational accuracy of gridding based on least-squares collocation is dictated by the error estimation of discrete observational data and the selection and fitting of the covariance function. More accurate error estimation contributes to higher-accuracy interpolation. A polynomial function is a simple and effective empirical covariance function for processing magnetic anomaly data. The least-squares collocation method demonstrates more effective noise suppression compared to the Kriging, minimum curvature, and radial basis function methods. Overall, applying the least-squares collocation to the gridding of magnetic anomaly data can enhance the accuracy and efficiency of data processing.

       

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