“Simulation of Induction Logging Tools in Anisotropic Media Using a 3D Finite Difference Method,” Annual Meeting of Society of Exploration and Geophysicists, Denver, CO, Oct. 18-22, 2010.
In this paper, we present a 3-D finite-difference (FD) method to simulate multicomponent induction log responses in arbitrarily anisotropic media. The finite-difference method uses a staggered grid to approximate the vector equation for the scattered electric field. The resulting linear sparse matrix is solved iteratively using a generalized minimal residual (GMRES) algorithm. An incomplete LU precondition is applied to improve the convergence behavior of the equation, thus accelerating the solution. Comparisons of the results with published data validate the algorithm.