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针对轴对称二维非均匀介质地层，以两接收线圈的相位差和幅度比为附加条件，建立了反演地层介电常数和电导率的电磁波测井反演数学模型．针对反问题的不适定性，利用正则化方法建立了反演的选代法．为克服层位较多时整体反演在存贮量、计算量等方面的问题，考虑了一种每次反演一个目的层的多层反演方案，并针对6层和10层模型进行了数值模拟．模拟结果表明，以相位差和幅度比为测井响应来反演介质电性参数是可行的，并适合于薄层解释，但对多层模型不能采用整体反演．
Aiming at the asymmetric two-dimensional asymmetric media stratum, an electromagnetic wave logging inversion mathematical model for inverting the dielectric constant and conductivity of the formation is established by adding the phase difference and the amplitude ratio of the two receiving coils. Aiming at the ill-posedness of the inverse problem, the inversion method is established by using the regularization method. In order to overcome the problems of the total inversion, such as the amount of storage and the amount of calculation, etc., a multi-layer inversion method of inverting one target layer at a time is proposed, and the numerical values of the 6- and 10-layer models simulation. The simulation results show that it is feasible to invert medium parameters by using phase difference and amplitude ratio as well as logging response, and it is suitable for thin-layer interpretation. However, it is impossible to use global inversion for multi-layer model.