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将起伏地形上的测点垂直投影至水平面上,并将地形上的位场u放在水平面的对应点上,这样就有一个平面上的假想位场u。用快速傅立叶变换（FFT）计算平面位场的垂向导数 u/ n,将这个垂向导数移至地形的对应点上,近似作为地形上的位的垂向导数 u/ n。根据Green公式,从地形上的位u和位的法向导数 u/ n,用积分的方法可计算地形上部任一点的位。在计算出地形上部一个平面上的位后,可用FFI迅速计算其它平面的位,包括与地形相交的平面上的位。在通常的位场延拓方法中,如用等效源法解一个线形代数方程组要需用很大内存量,要耗去大量计算时间。本方法的主要特点是省略了解线形代数方程组的步骤,从而大大节约计算时间。模型计算表明,本方法的计算精度是令人满意的。用本方法对航磁实际资料进行延拓,取得较好的效果。
The terrain on the ups and downs of the measuring point vertically projected onto the horizontal plane, and the terrain on the horizontal position u on the corresponding point, so there is a plane of the imaginary field u. The vertical derivative u / n of the planar field is calculated using Fast Fourier Transform (FFT) and the vertical derivative is shifted to the corresponding point on the terrain approximating the vertical derivative u / n of the terrain. According to the Green formula, from the terrain u and bit of the normal derivative u / n, with integral method can be calculated at any point on top of the terrain. After a bit is calculated on a plane above the topography, FFIs can be used to quickly calculate bits in other planes, including the bits in the plane that intersect with the terrain. In the usual field extension method, it takes a lot of memory to solve a linear algebraic equation with the equivalent source method, which consumes a large amount of computation time. The main feature of this method is the omission of the steps to understand linear algebraic equations, which greatly saves computation time. The model calculation shows that the calculation accuracy of this method is satisfactory. Use this method to extend the actual data of aeromagnetic to achieve better results.