Abstract
Based on an analytical solution for the current point source in an anisotropic half-space, we study the apparent resistivity and apparent chargeability of a transversely isotropic medium with vertical and horizontal axes symmetry, respectively. We then provide a simple derivation of the anisotropy paradoxes in direct current resistivity and time-domain induced polarization methods. Analogous to the mean resistivity, we propose a formulation for deriving the mean polarizability. We also present a three-dimensional finite element algorithm for modeling the direct current resistivity and time-domain induced polarization using an unstructured tetrahedral grid. Finally, we provide the apparent resistivity and apparent chargeability curves of a tilted, transversely isotropic medium with different angles, respectively. The subsequent results illustrate the anisotropy paradoxes of direct current resistivity and time-domain induced polarization.
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This research is supported by the special funding of Guiyang science and technology bureau and Guiyang University [GYU-KY-[2021]], the National Key Research and Development Program of China-Geophysical Comprehensive Exploration and Information Extraction of Deep Mineral Resources (2016YFC0600505) and the National K&D Program (2018YFC1504901, 2018YFC1504904).
Song Tao, is now a lecturer at Guiyang University, graduated from Chengdu University of Technology with a master’s degree in Earth Exploration and Information Technology in 2013; graduated from Institute of Geochemistry, University of Chinese Academy of Sciences with a Ph.D. in solid geophysics in 2017. Mainly engaged in the research of geoelectric field modeling technology.
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Tao, S., Yun, L., Yun, W. et al. Numerical modeling of anisotropy paradoxes in direct current resistivity and time-domain induced polarization methods. Appl. Geophys. 18, 117–127 (2021). https://doi.org/10.1007/s11770-021-0881-7
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DOI: https://doi.org/10.1007/s11770-021-0881-7