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在任意起伏地形条件下,重磁位场解析延拓(简称曲面延拓)原理、方法的研究是位场解释理论中一个难度较大的重要课题,许多物探工作者做了大量工作,其中布哈塔卡尼亚(B.K.Bhattacharyya,1979)等人提出的方法比较成功地解决了曲面延拓中的“上延拓”问题;“下延拓”问题,由于问题本身的复杂性,一直还没有令人满意的解决办法. 本文所论述的解析延拓原理和方法适用于任意起伏地形条件下的解析延拓,既可以作“上延拓”,也可以作“下延拓”.限于篇幅,本文只讨论二维问题.
Under arbitrary undulating terrain conditions, the principle of analytic extension of gravity and magnetic field field (referred to as surface extension) is a more difficult and important topic in field theory. Many geophysical workers have done a great deal of work, in which cloth The method proposed by Bhattacharyya (1979) and others has successfully solved the problem of “upward extension” in surface extension. The problem of “extension of extension” has not yet been solved due to the complexity of the problem itself Satisfactory solution.The analytical extension principle and method discussed in this paper is applicable to the analytic extension under arbitrary undulating terrain conditions, which can be either “on the extension” or “under extension.” Due to space limitations, This article only discusses two-dimensional problems.