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在求解多层介质赫兹矢量位的波动方程中,根据任意两层介质交界面上电磁场切向分量的连续性并利用电磁的对称性,可导出位于任者一层介质中的垂直电偶板子及磁偶极子、水平电偶极子及磁偶极子四种源所产生的电磁场表达式及其统一的系数递推关系。将垂直偶极子场和水平偶极子场叠加可解决地层的井-井、并-地面勘探以及水平并感应测井和感应倾角测井的正演计算问题。
In solving the wave equation of Hertzian vectors in multi-layer media, according to the continuity of the tangential component of the electromagnetic field at the interfaces of any two layers and the use of electromagnetic symmetry, we can derive the vertical galvanic plate in the medium of each layer and Magnetic dipole, horizontal dipole and dipole magnetic field produced by the four kinds of electromagnetic field expression and its recursion coefficient of unity. Superimposing the vertical dipole field and the horizontal dipole field can solve well-well problems in the formation, and-for surface exploration and for horizontal and induction logging and induction dip logging.