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针对环井周的非均质地层模型，利用三维有限元方法模拟了方位梯度电极系的测井响应．结果表明，在非均质程度比较小的情况下，各个方位上的响应之间差别不大，与真实的电阻率分布差别也不大；反之，则差别很大．其特点是所测得的响应远远低于较高的真电阻率值，而接近较低的真电阻率值．因此，有必要对测井响应进行校正．考虑到传统的校正方法的弊端，本文利用非线性反演方法求取真实的电阻率分布，数值模拟的结果表明了此方法的可行性．
Aiming at the heterogeneity strata model of circumferential well, the three-dimensional finite element method is used to simulate the well logging response of the azimuth gradient electrode system. The results show that there is no significant difference between the responses at different azimuths and the actual resistivity distributions under the condition of relatively small heterogeneity; on the contrary, the differences are quite different. Its characteristic is measured response is far below the higher true resistivity value, and close to the lower true resistivity value. Therefore, it is necessary to correct the logging response. Considering the shortcomings of the traditional calibration methods, this paper uses the nonlinear inversion method to get the real resistivity distribution. The numerical simulation results show the feasibility of this method.