An axisymmetric finite difference method is employed for the simulations of electromagnetic telemetry in the homogeneous and layered underground formation. In this method, we defined the anisotropy property using extensive 2D conductivity tensor and solved it in the transverse magnetic mode. Significant simplification arises in the decoupling of the anisotropic parameter. The developed method is cost-efficient, more straightforward in modeling anisotropic media, and easy to be implemented. In addition, we solved the integral operation in the estimation of measured surface voltage using Gaussian quadrature technique. We performed a series of numerical modeling of EM telemetry signals in both isotropic and anisotropic models. Experiment with 2D tilt transverse isotropic media characterized by the tilt axis and anisotropy parameters shows an increase in the EMT signal with an increase in the angle of tilt of the principal axis for a moderate coefficient of anisotropy. We show that the effect of the tilt of the subsurface medium can be observed with sufficient accuracy and that it is an order of magnitude of 5 over the tilt of 90 degrees. Lastly, consistent results with existing field data were obtained by employing the Gaussian quadrature rule for the computation of surface measured signal.

采用轴对称有限差分法模拟均质层状地下地层中的电磁遥测。在这种方法中，我们使用广泛的二维电导率张量定义各向异性，并在横向磁模式下求解。各向异性参数的去耦产生了显着的简化。所开发的方法具有成本效益，在各向异性介质建模方面更直接，并且易于实现。此外，我们使用高斯正交技术解决了在估算表面电压时的积分运算问题。我们在各向同性和各向异性模型中对EM遥测信号进行了一系列数值建模。对以倾斜轴和各向异性参数为特征的二维倾斜横向各向同性介质进行的实验表明，对于中等各向异性系数，EMT信号随主轴倾斜角的增加而增加。我们表明，地下介质倾斜的影响可以以足够的精度观察到，并且在90度倾斜上约为5个数量级。最后，采用高斯求积法则进行表面测量信号的计算，得到与现有现场数据一致的结果。我们表明，地下介质倾斜的影响可以以足够的精度观察到，并且在90度倾斜上约为5个数量级。最后，采用高斯求积法则进行表面测量信号的计算，得到与现有现场数据一致的结果。我们表明，地下介质倾斜的影响可以以足够的精度观察到，并且在90度倾斜上约为5个数量级。最后，采用高斯求积法则进行表面测量信号的计算，得到与现有现场数据一致的结果。