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Z轴倾子电磁法(ZTEM)是一种天然源频率域航空电磁法。本文介绍了ZTEM的野外施工方式,给出了三维情况下倾子矢量以及倾子散度的表达式;由麦克斯韦方程组出发,将研究区域离散成若干长方体单元,采用交错网格有限差分法求得了网格棱边中点处的磁场值,最终整理出倾子矢量和倾子散度,完成三维正演模拟;建立与相关文献中相同的地电模型,对比二维有限元和本文的计算结果,验证了本文正演算法的可靠性,最后通过理论模型算例总结了典型地电模型的响应特征,证明ZTEM无论对于简单还是较为复杂的地电分布,都具有较好的横向分辨率和应用价值,为研究ZTEM方法及ZTEM资料三维反演奠定了基础。
The z-axis tilting-electromagnetism method (ZTEM) is a natural-source-frequency-domain aeromagnetic method. In this paper, the field construction methods of ZTEM are introduced, and the expressions of the pitch vectors and the divergences of divergence in three-dimensional cases are given. Starting from the Maxwell equations, the study area is discretized into several cuboid units, and the staggered grid finite difference method Obtained the magnetic field value at the midpoint of the grid edge, and finally sorted out the pitch vector and the pitch divergence to complete the three-dimensional forward modeling; established the same geoelectric model as the related literatures, compared two-dimensional finite element and the calculation As a result, the reliability of the forward algorithm in this paper is verified. Finally, the response characteristics of the typical electrical model are summarized through the theoretical model. It is proved that ZTEM has better lateral resolution and higher accuracy for both simple and complex geoelectric distributions. The application value has laid the foundation for the study of ZTEM method and 3D inversion of ZTEM data.