Induced polarization response of porous media with metallic particles — Part 1: A theory for disseminated semiconductors

ABSTRACTA model is proposed regarding the polarization of dispersed metallic conductors (e.g., pyrite and magnetite) in porous media free of redox-active ionic species in the pore water. We studied two cases corresponding to having a background material with or without chargeability. The model was based on the polarization mechanism of a single particle using well-established bounds for the reflection coefficient entering the definition of the dipole moment of the metallic grains. We used the Maxwell-Clausius-Mossotti mixing equation to obtain the complex conductivity of the mixture of dispersed metallic particles in the background porous material composed of the pore water and the insulating grains coated by an electric double-layer. This equation can be generalized to a mixture of various types of metallic particles (with their own properties) dispersed in the background porous material. Our model led to a very simple linear relationship between the chargeability and the volume content of metallic parti...

[1]  C. Clavier,et al.  Effect Of Pyrite On Resistivity And Other Logging Measurements , 1976 .

[2]  Stanley H. Ward,et al.  Mineral discrimination and removal of inductive coupling with multifrequency IP , 1978 .

[3]  Nicolas Florsch,et al.  Determination of permeability from spectral induced polarization in granular media , 2010 .

[4]  R. Shuey,et al.  The electrical resistivity of galena, pyrite, and chalcopyrite , 1976 .

[5]  Markku Peltoniemi,et al.  Spectral IP studies of Finnish ore prospects , 1992 .

[6]  Andreas Kemna,et al.  Estimating the spatiotemporal distribution of geochemical parameters associated with biostimulation using spectral induced polarization data and hierarchical Bayesian models , 2012 .

[7]  Andreas Kemna,et al.  Using complex resistivity imaging to infer biogeochemical processes associated with bioremediation of an uranium‐contaminated aquifer , 2011 .

[8]  C. Phillips.  Experimental study of the induced polarization effect using Cole-Cole and GEMTIP models , 2010 .

[9]  Yuxin Wu,et al.  Electrical properties of iron-sand columns : Implications for induced polarization investigation and performance monitoring of iron-wall barriers , 2005 .

[10]  G. Keller,et al.  A STUDY IN INDUCED POLARIZATION , 1964 .

[11]  A. Tarasov,et al.  Time domain spectral induced polarization of disseminated electronic conductors: Laboratory data analysis through the Debye decomposition approach , 2013 .

[12]  H. Seigel.  Mathematical formulation and type curves for induced polarization , 1959 .

[13]  M. Fleet,et al.  Gold-bearing arsenian pyrite and marcasite and arsenopyrite from Carlin Trend gold deposits and laboratory synthesis , 1997 .

[14]  Krishnan Rajeshwar,et al.  Fundamentals of Semiconductor Electrochemistry and Photoelectrochemistry , 2002 .

[15]  J. R. Wait.  Overvoltage research and geophysical applications , 1959 .

[16]  K. Cole,et al.  Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics , 1941 .

[17]  A. Revil,et al.  Effective conductivity and permittivity of unsaturated porous materials in the frequency range 1 mHz–1GHz , 2013, Water resources research.

[18]  A. Revil.  On charge accumulation in heterogeneous porous rocks under the influence of an external electric field , 2013 .

[19]  J. Wong,et al.  An electrochemical model of the induced‐polarization phenomenon in disseminated sulfide ores , 1979 .

[20]  C. Schlumberger,et al.  Étude sur la prospection électrique du sous-sol , 1920 .

[21]  D. Bleil.  Induced polarization; a method of geophysical prospecting , 1953 .

[22]  A. Ghorbani,et al.  Complex conductivity of water-saturated packs of glass beads. , 2008, Journal of colloid and interface science.

[23]  Susan S. Hubbard,et al.  Low-frequency electrical response to microbial induced sulfide precipitation , 2005 .

[24]  R. Clausius,et al.  Die mechanische Behandlung der Electricität , 1879 .

[25]  H. Vinegar,et al.  Induced polarization of shaly sands , 1984 .

[26]  Morrel H. Cohen,et al.  The effect of grain anisotropy on the electrical properties of sedimentary rocks , 1982 .

[27]  J. Redman,et al.  COMPLEX RESISTIVITY OF SYNTHETIC SULPHIDE BEARING ROCKS , 1986 .

[28]  F. Téreygeol,et al.  Induced polarization 3D tomography of an archaeological direct reduction slag heap , 2012 .

[29]  Andreas Weller,et al.  A new approach to fitting induced-polarization spectra , 2008 .

[30]  C. Torres‐Verdín,et al.  Interfacial polarization of disseminated conductive minerals in absence of redox-active species — Part 1: Mechanistic model and validation , 2016 .

[31]  M. Fleet,et al.  Site preference of rare earth elements in fluorapatite: Binary (LREE+HREE)-substituted crystals , 1997 .

[32]  G. R. Olhoeft,et al.  Low-frequency electrical properties. , 1985 .

[33]  D. Strangway,et al.  Induced polarization in disseminated sulfide ores containing elongated mineralization , 1981 .

[34]  J. Maxwell.  A Treatise on Electricity and Magnetism , 1873, Nature.

[35]  L. West,et al.  Laboratory study of spectral induced polarization responses of magnetite — Fe2+ redox reactions in porous media , 2014 .

[36]  A. Revil,et al.  Localization and characterization of cracks in clay‐rocks using frequency and time‐domain induced polarization , 2013 .

[37]  Lee Slater,et al.  On the relationship between induced polarization and surface area in metal-sand and clay-sand mixtures , 2006 .

[38]  Nicolas Florsch,et al.  Quantification of slag heap volumes and masses through the use of induced polarization: application to the Castel-Minier site , 2011 .

[39]  A. Revil,et al.  Evidence that bio-metallic mineral precipitation enhances the complex conductivity response at a hydrocarbon contaminated site , 2013 .

[40]  C. Torres‐Verdín,et al.  Interfacial polarization of disseminated conductive minerals in absence of redox-active species — Part 2: Effective electrical conductivity and dielectric permittivity , 2016 .

[41]  J. Wait.  A PHENOMENOLOGICAL THEORY OF OVERVOLTAGE FOR METALLIC PARTICLES , 1959 .

[42]  P. N. Sen,et al.  A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads , 1981 .

[43]  A. Revil,et al.  Thermal conductivity of unconsolidated sediments with geophysical applications , 2000 .

[44]  G. Batchelor,et al.  Thermal or electrical conduction through a granular material , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[45]  Andrey Tarasov,et al.  On the use of the Cole–Cole equations in spectral induced polarization , 2013 .

[46]  P. Veeken,et al.  Benefits of the induced polarization geoelectric method to hydrocarbon exploration , 2009 .

[47]  Milton,et al.  Analytical model for the dielectric response of brine-saturated rocks. , 1986, Physical review. B, Condensed matter.

[48]  E. Flekkøy.  A physical basis for the Cole-Cole description of electrical conductivity of mineralized porous media , 2013 .

[49]  D. Mao,et al.  Induced polarization response of porous media with metallic particles — Part 2: Comparison with a broad database of experimental data , 2015 .