Analysis of tilted-coil eccentric borehole antennas in cylindrical multilayered formations for well-logging applications

Well-logging tools employing tilted coil antennas have been proposed to provide directional (azimuth) information and improved estimates of anisotropy when compared to conventional tools that use horizontal coils. In this paper, we analyze the response of logging tools with tilted coil antennas in eccentric boreholes crossing cylindrical multilayered formations (earth formations with invasion zones) by two approaches. The first approach is based on a pseudoanalytic formulation, previously applied for concentric boreholes and extended here to include eccentric boreholes. The second approach is based on three-dimensional (3-D) numerical simulations using the finite-difference time-domain (FDTD) algorithm extended to cylindrical coordinates and incorporating cylindrical perfectly matched layers (PML). The results from the two formulations are compared for different formations, showing very good agreement.