Three‐dimensional inversion of the induced polarization data for the relaxation model parameters

2004 ◽  
Author(s):  
Ken Yoshioka ◽  
Michael S. Zhdanov
Keyword(s):  
Three Dimensional ◽  
Induced Polarization ◽  
Model Parameters ◽  
Relaxation Model ◽  
Polarization Data

Three-dimensional Time-domain Induced Polarization of a Desert Aridisol for Septic Design

2021 ◽  
Vol 26 (2) ◽  
pp. 153-164
Author(s):  
Dale F. Rucker ◽  
W. Kevin Walker ◽  
Jason Greenwood
Keyword(s):  
Soil Structure ◽  
Geophysical Methods ◽  
Three Dimensional ◽  
Clay Content ◽  
Induced Polarization ◽  
Electrode Arrays ◽  
Polarization Data ◽  
High Data ◽  
Direct Testing ◽  
Western Portion

Septic leach field design in the arid southwestern US requires direct testing of soils to ensure adequate drainage. We propose that direct testing costs can be reduced if electrical geophysical methods are used to determine soil structure that facilitates proper drainage rates. We demonstrate this concept at a residential site where resistivity and induced polarization data were acquired within a desert soil with variable mixtures of clay (Argid) and calcareous (Orthid) components. Electrode arrays were tested to ensure high data quality and minimal workload during inversion modeling. The resulting resistivity structure identified a sharp boundary between the eastern and western halves of the property. The west was more conductive than the east, which could indicate the presence of higher moisture or higher clay content. Chargeability data gathered from the induced polarization survey showed similar stark patterns between east and west halves of the property. The western portion of the survey area was verified to have some clay based on high chargeability values and direct soil testing from pits. Test pits dug to 3.65 m showed transitions between Argid and Othid conditions; the test pits were in locations of moderate resistivity and low chargeability. From this study, we concluded that resistivity and IP were useful in septic design because they reduce the total amount of direct testing needed when testing locations are carefully chosen based on the geophysical results.

Time Domain and Frequency Domain Induced Polarization Modeling for Three-dimensional Anisotropic Medium

2017 ◽  
Vol 22 (4) ◽  
pp. 435-439
Author(s):  
Weiqiang Liu ◽  
Pinrong Lin ◽  
Qingtian Lü ◽  
Rujun Chen ◽  
Hongzhu Cai ◽  
...  
Keyword(s):  
Frequency Domain ◽  
Half Space ◽  
Anisotropic Medium ◽  
Time Domain ◽  
Three Dimensional ◽  
Induced Polarization ◽  
Model Parameters ◽  
Complex Resistivity ◽  
Cole Model ◽  
Synthetic Models

Time domain induced polarization (TDIP) and frequency domain induced polarization (FDIP) synthetic models, incorporating three-dimensional (3D) anisotropic medium, were tested. In TDIP modeling, both resistivity and chargeability of the medium were anisotropic, and the apparent chargeability values were calculated by carrying out two resistivity forward calculations using resistivity with and without an IP effect. We analyzed the TDIP response of a 3D isotropic cube model embedded in the anisotropic subsurface half-space. In FDIP modeling, the complex resistivity of the medium at various frequencies was anisotropic. The complex resistivity was determined by a Cole-Cole model with anisotropic model parameters. We then analyzed the FDIP response of a 3D anisotropic cube model embedded in an isotropic subsurface half-space. Both of the TDIP and FDIP simulation results suggest that IP responses acquired in two orthogonal directions on the surface are different when the same arrays are used and acquisition in orthogonal directions helps resolve the presence of anisotropy. The anisotropy should be taken into account in practice for TDIP and FDIP exploration.

Three‐dimensional inversion of EM coupling contaminated spectral induced polarization data

2010 ◽  
Author(s):  
Michael Commer ◽  
Gregory A. Newman ◽  
Kenneth H. Williams ◽  
Susan S. Hubbard
Keyword(s):  
Three Dimensional ◽  
Induced Polarization ◽  
Polarization Data ◽  
Spectral Induced Polarization

scholarly journals On the use of the Cole–Cole equations in spectral induced polarization

2013 ◽  
Vol 195 (1) ◽  
pp. 352-356 ◽  
Author(s):  
Andrey Tarasov ◽  
Konstantin Titov
Keyword(s):  
Time Constant ◽  
Angular Frequency ◽  
Induced Polarization ◽  
Model Parameters ◽  
Data Sets ◽  
Polarization Data ◽  
Spectral Induced Polarization ◽  
The Difference ◽  
Fitting Model ◽  
Fitting Parameters

Abstract Two different equations, both of which are often called ‘the Cole–Cole equation’, are widely used to fit experimental Spectral Induced Polarization data. The data are compared on the basis of fitting model parameters: the chargeability, the time constant and the exponent. The difference between the above two equations (the Cole–Cole equation proposed by the Cole brothers and Pelton's equation) is manifested in one of the fitting parameters, the time constant. The Cole–Cole time constant is an inverse of the peak angular frequency of the imaginary conductivity, while Pelton's time constant depends on the chargeability and exponent values. The difference between the time constant values corresponding to the above two equations grows with the increase of the chargeability value, and with the decrease of the Cole–Cole exponent value. This issue must be taken into consideration when comparing the experimental data sets for high polarizability media presented in terms of the Cole–Cole parameters.

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