基于差分进化的AB-Hz地空电磁频率测深全区视电阻率一维反演

    Differential evolution-based one-dimensional inversion of whole-zone apparent resistivity for AB-Hz ground-airborne electromagnetic frequency sounding

    • 摘要: 本文研究了AB-Hz地空电磁频率测深法全区视电阻率计算及一维反演方法,旨在提升电磁测深精度与效率,为深地资源高效率勘探提供技术支持。该方法通过地面电偶极源AB激发电磁场、无人机空中测量垂直分量Hz实现对地探测。论文研究了不同收发距全区视电阻率频率测深曲线特征。基于电阻率等效原理,由水平电偶极子源电磁场Hz分量解析表达式构建了两种AB-Hz地空电磁频率测深全区视电阻率迭代计算方法,用双频率法对H型和K型地电模型的计算验证了其正确性。针对一维反演的多参数非线性优化问题,引入改进的差分进化算法,提出4步变异法强化最优解影响力,提升全局寻优能力。数值模拟结果显示,反演结果与模型真值接近,拟合度高,验证了该反演方法的有效性。AB-Hz电磁频率测深对于低阻和高阻目标地质体均有良好响应,较大的收发距对目标体响应更明显,可为深切割山区等难进入区域勘探提供技术方案。

       

      Abstract: This study investigated methods for the calculation and one-dimensional (1D) inversion of whole-zone apparent resistivity using the AB-Hz ground-airborne electromagnetic frequency sounding method. The purpose is to improve the accuracy and efficiency of electromagnetic frequency sounding and provide technical support for the high-efficiency exploration of deep subsurface resources. The AB-Hz ground-airborne electromagnetic frequency sounding method enables subsurface detection by exciting an electromagnetic field using a ground electric dipole source AB and measuring the vertical component Hz via unmanned aerial vehicle (UAV)-based observations. This study investigated the characteristics of frequency sounding curves of the whole-zone apparent resistivity under different transmitter-receiver distances. Two iterative calculation methods were established for the whole-zone apparent resistivity of the AB-Hz ground-airborne electromagnetic frequency sounding using the analytical expression of the Hz component of the electromagnetic field generated by a horizontal electric dipole (HED) source. Based on the equivalent resistivity principle, the correctness of the two methods was verified by calculating the H- and K-type geoelectric models using the dual-frequency method. To achieve the multi-parameter nonlinear optimization in 1D inversion, this study introduced an improved differential evolution algorithm and proposed a four-step mutation method to enhance the influence of the optimal solution. These efforts contributed to enhanced global optimization performance. Numerical simulation results show that the inversion results were close to the true values of the models, with a high goodness of fit, verifying the effectiveness of the proposed inversion method. The AB-Hz electromagnetic frequency sounding method exhibited pronounced responses to both low- and high-resistivity target geobodies, with larger transmitter-receiver distance corresponding to more distinct responses to targets. The proposed method can provide a technical solution for exploring inaccessible areas, such as deeply incised mountainous areas.

       

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