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本文根据复变函数理论给出了只具备磁异常垂直分量资料的情况下对二维磁异常进行反演的一种方法.本方法既适用于水平线上的,也适用于起伏地形上的磁测资料解释. 在垂直二度磁性地质体走向的剖面上建立oxy复平面(图1),用z=x+jy表示观测点的复坐标,ζ=ξ+jη表示地质体截面区域S内任一点的复坐标.那么,在区域|z|>|ζ|内,借助二项式展开式可将复场强T(z)展成z的负幂级数.
In this paper, a method of inverting two-dimensional magnetic anomalies based on the theory of complex functions is presented, which can be used only for horizontal magnetic field. It is also suitable for magnetic surveying Data Interpretation. The oxy complex plane (Figure 1) is established on the profile of the vertical second-degree magnetic geo- logical body and z = x + jy is the complex coordinate of the observation point. Ζ = ξ + jη represents any point within the section S of the geological body Then the complex field T (z) can be developed to a negative power of z in the region | z |> | ζ | with the aid of a binomial expansion.