The enhancement of finite difference method for EM simulating the arbitrary fractures

摘要

The numerical technique-finite difference method (FDM) is one well-known computational method requiring a delicate meshing algorithm used to optimize the simulation accuracy of complicated electromagnetic (EM) structures. The widely used Yee's staggered lattices discretize the EM field components and require the structured cubic meshing data. The structured mesh has intrinsic limitations on simulating irregular formations and objects. By applying a reliable numerical material-mixing method to calculate the effective properties of mesh cells, the 2.5D FDM solver, with this numerical method implemented, can observe the inclined layers and the thin fracture in the formation without extra grids on interfaces. The tool responses from the practical complex formation with and without fracture showing up a distinguished difference in tool responses can be observed, verifying the validity of the proposed analysis strategies.