When the fracture normal forms an angle relative to the borehole axis, the induction logging response to the fractured formation consists of two contributions: one is the volume contribution caused by the eddy current, and the other is the charge contribution caused by the cumulative charges on the upper and lower boundaries of the fracture; both contributions are nonlinear. Researching the distribution of surface charges and eddy current in inclined fractured formations is of great significance for logging analysts and geologists to fully understand induction logging laws in such setting. However, there is insufficient research on this aspect. In this work, first, an electromagnetic field calculation method under the condition of existing cumulative charges at the interfaces was developed. Second, an induction logging numerical simulation model of inclined fractures based on the three-dimensional (3D) finite element method (FEM) was established, and the distribution laws of cumulative charges and eddy current in fractures under different dip angles were summarised. Third, we used the annular conductive region in the fracture as the object of our research, and analysed the influence law of different conductive regions distribution on induction logging. Finally, we carried out physical experiments to verify the numerical results and achieved good agreement between the two results. Hence, it proves the validity of the methods and conclusions.

当裂缝法线与井筒轴线成夹角时，感应测井对裂缝地层的响应包括两个贡献：一是涡流引起的体积贡献，二是累积电荷引起的电荷贡献。裂缝的上下边界；这两种贡献都是非线性的。研究倾斜裂缝地层的地表电荷和涡流分布，对于测井分析人员和地质学家全面了解该环境下感应测井规律具有重要意义。但是，这方面的研究还不够。在这项工作中，首先，开发了一种在界面处存在累积电荷的条件下的电磁场计算方法。第二，建立了基于三维（3D）有限元法（FEM）的倾斜裂缝感应测井数值模拟模型，总结了不同倾角下裂缝中累积电荷和涡流的分布规律。第三，以裂缝中的环状导电区为研究对象，分析了不同导电区分布对感应测井的影响规律。最后，我们进行了物理实验来验证数值结果，并在两个结果之间取得了很好的一致性。从而证明了方法和结论的正确性。总结了不同倾角下裂缝中累积电荷和涡流的分布规律。第三，以裂缝中的环状导电区为研究对象，分析了不同导电区分布对感应测井的影响规律。最后，我们进行了物理实验来验证数值结果，并在两个结果之间取得了很好的一致性。从而证明了方法和结论的正确性。总结了不同倾角下裂缝中累积电荷和涡流的分布规律。第三，以裂缝中的环状导电区为研究对象，分析了不同导电区分布对感应测井的影响规律。最后，我们进行了物理实验来验证数值结果，并在两个结果之间取得了很好的一致性。从而证明了方法和结论的正确性。