Journal
IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS
Volume 6, Issue -, Pages 549-552Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LAWP.2007.906301
Keywords
anisotropic media; finite volume (FV) methods; Maxwell's equations; well-logging
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A cylindrical-grid finite-volume (FV) algorithm for the solution of time-harmonic Maxwell's equations in fully three-dimensional (3-D) anisotropic media is presented. To circumvent ill-conditioning and convergence problems, Maxwell's equations are reformulated in terms of potentials in the null space of the curl operator and its complement by applying a Helmholtz decomposition to the electric field. A staggered-grid in cylindrical coordinates is used to better conform to the typical geometries of well-logging problems. The resulting sparse linear system is solved by preconditioned Krylov-subspace methods. FV results are validated in earth formations with anisotropic conductivity against both finite-difference time-domain and numerical mode matching results.
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