Numerical modeling of anisotropy paradoxes in direct current resistivity and time-domain induced polarization methods
Song Tao 1,2, Liu Yun ♦3, Wang Yun 2,4 and Li Bin 5
1. College of Mathematics and Information Science, Guiyang University, Guiyang 550005, China.
2. State Key Laboratory of Ore Deposit Geochemistry, Institute of Geochemistry Chinese Academy of Sciences, Gui Yang 550081, China.
3. College of Earth Sciences, Yunnan University, Kunming, 650500, China.
4. School of Geophysics and Information Technology, China University of Geoscience, Beijing, 100083, China.
5. Sichuan Highway Planning, Survey, Design And Research Institute Ltd, Chengdu 610041, China.
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 diff erentangles, respectively. The subsequent results illustrate the anisotropy paradoxes of direct current resistivity and time-domain induced polarization.
. Numerical modeling of anisotropy paradoxes in direct current resistivity and time-domain induced polarization methods[J]. APPLIED GEOPHYSICS, 2021, 18(1): 117-127.
2021, Vol. 18 
