【摘要】 频率域地空电磁法(ground-airborne frequency-domain electromagnetic, GAFDEM)相比传统地面电磁法具有工作效率高、成本低、可适用于复杂地形地貌环境的特点，是一种很有发展潜力的方法。已经成功研制与该方法相关的仪器和设备，并得到了初步应用，但其解释方法还有待于发展。本文研究了均匀半空间下磁场三分量随电阻率的变化规律，提出了用基于泰勒级数展开的方式，采用迭代法计算全域视电阻率的方法。通过对典型地层模型的计算，分析了不同分量、不同频域、不同飞行高度、不同偏移距下全域视电阻率的特征。结果表明，该全域视电阻率定义方法基本不受收发距、飞行高度等参数的影响，能够正确地反映地层电阻率的变化，为后续频率域地空电磁法数据的处理和解释提供了理论指导。更多还原

【Abstract】 The ground-airborne frequency-domain electromagnetic(GAFDEM) method exhibits high efficiency and low cost compared to conventional ground electromagnetic methods. It is applicable to electromagnetic sounding in complex topographic and geomorphic settings, demonstrating promising application potential. Despite the development and preliminary application of GAFDEM-related instrumentation and equipment, the interpretation methods for GAFDEM data remain under-studied. By investigating the resistivity-varying patterns of three components of the magnetic field in a homogeneous half-space, this study proposed an iterative method based on Taylor series expansion to calculate the global apparent resistivity. Through the calculation of a typical stratigraphic model, this study analyzed the characteristics of global apparent resistivity under different components, frequency domains, flight altitudes, and offsets. The results demonstrate that the definition method of global apparent resistivity in this study, subjected to minimal impacts from parameters like receiver-transmitter distance and flight altitude, can effectively reflect the variations of formation resistivity. Therefore, this study provides a theoretical guide for the processing and interpretation of GAFDEM data.更多还原