Open AccessTime-domain solution of Cole-Cole model with induced polarization method
Author(s) -
Ruize Liu,
Qingxin Meng
Publication year - 2020
Publication title -
iop conference series. earth and environmental science
Language(s) - English
Resource type - Journals
eISSN - 1755-1307
pISSN - 1755-1315
DOI - 10.1088/1755-1315/585/1/012198
Subject(s) - time domain , laplace transform , polarization (electrochemistry) , cole–cole equation , induced polarization , frequency domain , domain (mathematical analysis) , inverse , electrical resistivity and conductivity , statistical physics , algorithm , computer science , materials science , physics , mathematical analysis , mathematics , dielectric , chemistry , geometry , quantum mechanics , computer vision , optoelectronics
The spectral parameters of the Cole-Cole model can be used to distinguish the IP anomalies of different geological bodies. However, the frequency domain IP requires a lot of observation data and its efficiency in field work is low. In view of this reality which is very common to use the data of the time-domain IP. It is necessary to study the law of the time-domain solution of Cole-Cole model with induced polarization method. First of all, this paper transforms the complex resistivity in the frequency domain into the time-varying resistivity in the time domain through the inverse Laplace transform, then by changing different Cole-Cole parameters in the time domain so that we can observe the changing law of time-varying resistivity time-spectrum characteristics caused by different parameters.