基于航空重磁数据阶跃边缘识别函数的欧拉反褶积方法研究及应用

    Research and application of Euler deconvolution based on the step edge identification function for airborne gravity and magnetic data

    • 摘要: 航空重磁测量中,重磁数据的阶跃边缘检测(SD)滤波器由不同阶导数的比值构成,能清晰识别矿体的边界。基于SD滤波器推导欧拉反褶积方程,可以降低构造指数选择依赖性,改善传统欧拉法发散问题,获得收敛性更优的结果;同时,将SD滤波器的极大值与矿体边界对应的特征作为筛选标准,强化磁异常阶跃特征提取,以进一步提升计算结果的准确性,实现矿体边界与深度的同步高精度反演。在模拟重磁数据中对该方法的应用效果进行了测试:SD滤波器计算得到的水平分布与其他方法差异较小,但其计算得到的深度信息精度明显高于其他方法;此外,基于SD滤波器的欧拉方法对磁化方向不敏感。在河北迁安铁矿资源的航空磁测与梯度测量工作中,应用基于SD滤波器的欧拉反褶积方法计算铁矿体的分布取得了良好效果。研究结果表明,该方法可用于航空重磁数据处理,具有良好的实际应用效果与前景。

       

      Abstract: Airborne gravity and magnetic surveys, the step edge detection (SD) filter for gravity and magnetic data, comprising the ratios of derivatives of varied orders, enables clear identification of ore body boundaries. Deriving the Euler deconvolution equation based on the SD filter can reduce the dependence on the selection of the structural index, thereby mitigating the divergence of the traditional Euler method and obtaining more convergent results. Moreover, the maximum values of the SD filter and the ore body boundary characteristics can be used as screening criteria to enhance the extraction of the step characteristics of magnetic anomalies. This enhancement can further improve the accuracy of calculation results, thereby achieving simultaneous high-precision inversion of ore body boundaries and depths. The effectiveness of the Euler deconvolution method based on the SD filter (also referred to as the proposed method) was verified using simulated gravity and magnetic data. The simulation results demonstrate that compared to other methods, the SD filter revealed a slightly different horizontal distribution but more accurate depth information. Additionally, the proposed method was insensitive to the magnetization direction. To explore the iron ore resources in eastern Qian'an City, a significant iron ore prospect area in Hebei Province, China, the research team performed aeromagnetic and gradient surveys and calculated the distribution of iron ore bodies using the proposed method. The research results indicate that this method can be used for aviation airborne gravity and magnetic data processing, and has good practical application effects and prospects.

       

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