Based on an analytical solution for the point current source in an anisotropic half-space, we calculate the apparent resistivity and the apparent chargeability of a transversely isotropic medium with vertical and horizontal axes symmetry, respectively. We then provide a simple proof of the paradox of anisotropy in resistivity sounding and time-domain induced polarization. Analogous to the mean resistivity, we provide the formulation for deriving the mean polarizability. We also present a three-dimensional finite element algorithm for deriving the direct current resistivity and effecting time-domain induced polarization modeling using an unstructured tetrahedral grid. We then provide the apparent resistivity and apparent chargeability curves of a tilted, transversely isotropic medium with different angles, respectively. The subsequent results suggest our conclusions on the paradox of anisotropy in resistivity and time-domain induced polarization. Publication name | APPLIED GEOPHYSICS DOI10.1007/s11770-021-0881-7 Early Access AUG 2021 | Author(s) | Tao, Song; Yun, Liu; Yun, Wang | Corresponding author(s) | Yun, Liu yunliu@ynu.edu.cn Yunnan Univ, Coll Earth Sci, Kunming 650500, Yunnan, Peoples R China | Author(s) from IGCAS | Tao, Song; Yun, Wang | View here for the details
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