Abstract
The dielectric effect is receiving increasing interest in the study of resistivity logging. Several recent findings have proven that the dielectric effect can cause negative imaginary signals on the array induction logging. However, very few researches discuss the dielectric effect on the triaxial induction logging which is a novel technology in solving anisotropy problem. In this paper, we investigate the effect of large dielectric constants on a basic triaxial induction tool in a 1-D homogenous earth formation. The simulation model is derived from Maxwell equation and calculated by wave number integration. Sufficient simulations have been done. We performed an asymptotic analysis of the dielectric effect within the low-freq limit, yielding interesting observations on the dielectric effect with respect to frequency, spacing, and anisotropy. Those findings provide important and useful guidance for researchers to study on the dielectric effect on the triaxial induction logging.
Highlights
Plentiful experiments have shown that at a low frequency, dielectric constants are significantly increased
We investigate the effect of large dielectric constants on a basic triaxial induction tool in a 1-D homogenous earth formation
Previous work has proven that the dielectric effect causes the negative X-signal of array induction logging
Summary
Plentiful experiments have shown that at a low frequency, dielectric constants are significantly increased. The dielectric constant can reach up to 50,000 in shale formations with metallic particles at an induction frequency range of (25 - 100 KHz) [3]. The reason is very complex and still under study since dielectric enhancement violates the equal distribution principle. A new rock model that simulates conductive grain enclosed by a super thin, non-conductive coating was found to be effective in explaining dielectric enhancement in rocks [5]. It is the low-conductivity membrane that causes dielectric enhancement at low frequencies in rock formations
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