频率域偶层位曲面位场处理和转换方法研究

在空间域偶层位法的基础上，研究了完整的频率域偶层位曲面位场处理和转换方法.该法可应用于平面或曲面、规则网或非规则网的位场数据处理和转换.通过对偶层面z坐标和计算面z坐标平移不同的量来加速正演快速收敛和保证反演稳定、快速收敛；提出了适合于不规则网曲面处理和转换的核心算法——单点快速Fourier变换；提出了频率域不规则网曲面处理和转换方法技术.通过以上技术措施解决了大数据量特别是曲面不规则网的位场处理和转换问题，模型试算以及实际资料处理验证了该方法的应用效果.

The research of the frequency domain dipole layer method for the processing and transformation of potential field on curved surface

The frequency-domain dipole layer method for processing and transformation of potential field data on curved surface is researched on the basis of existing space-domain dipole layer method. The new method can be applied in the processing and transformation of potential field data, not only observed on a plane or curved surface, but also regular or irregular net data. In order to accelerate convergence in the forward calculation and insure the convergence stability and high speed in inversion, we advanced the technology by translating different z-coordinate distance of the dipole layer surface and calculation surface. The core of the algorithm, single-point FFT, is suitable for irregular net potential field data. We also put forward a frequency-domain processing and transformation technology for irregular net potential field data on curved surface. Through the above techniques, the problems in the data processing and transformation, such as high computing cost for mass data, are solved, in particular the irregular net data on curved surface. And the good quality is demonstrated by the synthetic data examples and field data.