Abstract
This letter presents a concise and efficient method forsimulating triaxial induction logging (TIL) responses in layeredbiaxial anisotropic (BA) media. Initially, a modified global amplitude propagation matrix algorithm is developed for the derivationof spectral scattered fields using a novel virtual boundary scheme.This innovation eliminates the necessity to separately handle thesource-related and source-free boundaries, thereby simplifying therecursion. Subsequently, a polar coordinate-based integral methodis developed for the dual inverse Fourier transform. This methodconverts the original dual infinite integrals into a semi-infiniteintegral with a definite one. By leveraging the smoothness of spectral fields along the polar angle direction, the definite integral isaccurately computed with minimal integral points in conjunctionwith linear interpolation technique. The semi-infinite integral isthen calculated utilizing quadrature-with-extrapolation algorithm,resulting in reduced integral points and controllable precision.Compared to traditional methods, the new method significantlyimproves the simulation speed of TIL responses in layered BAmedia, laying a solid foundation for the rapid inversion.
Paper Information：
Ping Qiao, Lei Wang, Shao-gui Deng, Zhong-xu Yin, Ying-nan Zhang, Sergei Vladislavovich Galkin, 2025, Rapid Simulation of Triaxial Induction LoggingResponses in Layered Biaxial Anisotropic Media. IEEE Antennas and Wireless Propagation Letters, 24(8), 2322-2326, doi: 10.1109/LAWP.2025.3562569
