Determination of permeability from spectral induced polarization in granular media

Geophysical Journal International

Volumn 181, Issue 3, 2010, Pages 1480-1498

  Revil, A ^a,b   Florsch, N ^c,d  

^a Department of Geology and Geological Engineering   (United States)

^b UNIVERSITÉ DE SAVOIE   (France)

^c Université Pierre et Marie Curie   (France)

^d UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

Electrical properties; Hydrogeophysics; Permeability and porosity; Probability distributions

Indexed keywords

ELECTRICAL CONDUCTIVITY; GRAIN SIZE; GRANULAR MEDIUM; INDUCED POLARIZATION; PERMEABILITY; POROSITY; PROBABILITY DENSITY FUNCTION;

EID: 77954050597     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2010.04573.x     Document Type: Article

References (91)

1. Archie GE. The electrical resistivity log as an aid in determining some reservoir characteristics. Trans. Am. Inst. Min. Metall. Eng. 1942, 146:54-62.
2. Avellaneda M, Torquato S. Rigorous link between fluid permeability, electrical conductivity, and relaxation times for transport in porous media. Phys. Fluids A 1991, 3:2529-2540.
3. Berg RR. Method for determining permeability from reservoir rock properties, Trans. Gulf Coast Section, Soc. Econ. Paleont. Mineral. Am. Ass. Petrol. Geol. 1970, 20:303-317.
4. Bernabé Y, Revil A. Pore-scale heterogeneity, energy dissipation and the transport properties of rocks. Geophys. Res. Lett. 1995, 22(12):1529-1552.
5. Binley A, Slater LD, Fukes M, Cassiani G. Relationship between spectral induced polarization and hydraulic properties of saturated and unsaturated sandstone. Water Resour. Res. 2005, 41:W12417.
6. Bolève A, Crespy A, Revil A, Janod F, Mattiuzzo JL. Streaming potentials of granular media: influence of the Dukhin and Reynolds numbers. J. geophys. Res 2007, 112:B08204. 10.1029/2006JB004673, doi
7. Bolève A, Revil A, Janod F, Mattiuzzo JL, Fry J-J. Preferential fluid flow pathways in embankment dams imaged by self-potential tomography. Near Surf. Geophys. 2009, 7(5):447-462. 10.3997/1873-0604.2009012, doi
8. Börner F, Schön J. A relation between the quadrature component of electrical conductivity and the specific surface area of sedimentary rocks. Log Analyst 1991, 32:612-613.
9. Börner FD, Gruhne M, Schön J H. Contamination indications derived from electrical properties in the low frequency range. Geophys. Prospect. 1993, 41:83-98.
10. Börner FD, Schopper W, Weller A. Evaluation of transport and storage properties in the soils and groundwater zone from induced polarization measurements. Geophys. Prospect. 1996, 44:583-601. 10.1111/j.1365-2478.1996.tb00167.x, doi
11. Bussian AE. Electrical conductance in a porous medium. Geophysics 1983, 48:1258-1268.
12. Carrique F, Arroyo FJ, Delgado AV. Effect of Size Polydispersity on the dielectric relaxation of colloidal suspensions: a numerical study in the frequency and time domains. J. Colloid Interface Sci. 1998, 206:569-576.
13. Chassagne C, Bedeaux D, Koper GJM. The interpretation of dielectric spectroscopy measurements on silica and hematite sols. J. Colloid Interface Sci. 2002, 255:129-137. 10.1006/jcis.2002.8639, doi
14. Chen Y, Or D. Effects of Maxwell-Wagner polarization on soil complex dielectric permittivity under variable temperature and electrical conductivity. Water Resour. Res. 2006, 42:W06424. 10.1029/2005WR004590, doi
15. Cole KS, Cole RH. Dispersion and absorption in dielectrics. I. Alternating current characteristics. J. Chem. Phys. 1941, 9:341-351.
16. Cosenza P, Ghorbani A, Florsch N, Revil A. Effects of drying on the low-frequency electrical properties of Tournemire argillites. Pure appl. Geophys. 2007, 164(10):2043-2066.
17. Cosenza P, Ghorbani A, Revil A, Zamora M, Schmutz M, Jougnot D, Florsch N. A physical model of the low-frequency electrical polarization of clay-rocks. J. geophys. Res. 2008, 113:B08204.
18. de Lima OAL, Niwas S. Estimation of hydraulic parameters of shaly sandstone aquifers from geoelectrical measurements. J. Hydrol. 2000, 235:12-26. 10.1016/S0022-1694(00)00256-0, doi
19. de Lima OAL, Sharma MM. A generalized Maxwell-Wagner theory for membrane polarization in shaly sands. Geophysics 1992, 57:431-440.
20. De Mey G. Gaussian and restangular distributions of relaxation times in dispersion mechanism. Lettera al Nuovo Cimento 1974, 9(16):670-672.
21. Dukhin SS, Shilov VN. Nonequilibrium electric surface phenomena and extended electrokinetic characterization of particles, in Interfacial Electrokinetics and Electrophoresis, Edited by A.V. Delgado. Surfact. Sci. Ser. 2002, 106:991-85. pp
22. Fixman M. Charged macromolecules in external fields. I: the sphere. J. Chem. Phys. 1980, 72(a):5177-5186.
23. Fuoss RMD, Kirkwood JG. Electrical properties of solids. VIII. Dipole moments in polyvinyl chloride-diphenyl systems. J. Am. Chem. Soc. 1941, 63:385-394.
24. Ghorbani A, Cosenza Ph, Revil A, Zamora M, Schmutz M, Florsch N, Jougnot D. Non-invasive monitoring of water content and textural changes in clay-rocks using spectral induced polarization: a laboratory investigation. Appl. Clay Sci. 2009, 43:493-502.
25. Hördt A, Blaschek R, Kemna A, Zisser N. Hydraulic conductivity estimation from induced polarisation data at the field scale-the Krauthausen case history. J. appl. Geophys. 2007, 62:33-46.
26. Jardani A, Revil A. Stochastic joint inversion of temperature and self-potential data. Geophys. J. Int. 2009, 179(1):640-654. 10.1111/j.1365-246X.2009.04295.x, doi
27. Jardani A, Revil A, Bolève A, Dupont JP. 3D inversion of self-potential data used to constrain the pattern of ground water flow in geothermal fields. J. geophys. Res. 2008, 113:B09204. 10.1029/2007JB005302, doi
28. Jardani A. Reconstruction of the water table from self potential data: a Bayesian approach. Ground Water 2009, 47(2):213-227. 2009
29. Johnson DL, Plona TJ, Kojima H. Probing porous media with 1st sound, 2nd sound, 4th sound and 3rd sound. Physics and Chemistry of Porous Media 1986, Vol. II:243-277. Jayanth R, Banavar J, Winkler K W. eds, AIP, New York
30. Johnson DL, Koplik J, Dashen R. Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J. Fluid. Mech. 1987, 176:379-402.
31. Jougnot D, Revil A, Leroy P. Diffusion of ionic tracers in the Callovo-Oxfordian clay-rock using the Donnan equilibrium model and the electrical formation factor. Geochem. Cosmochem.Acta 2009, 73:2712-2726.
32. Jougnot D, Ghorbani A, Revil A, Leroy P, Cosenza P. Spectral Induced Polarization of partially saturated clay-rocks: a mechanistic approach. Geophys. J. Int. 2010, 180(1):210-224. 10.1111/j.1365-246X.2009.04426.x, doi
33. Kemna A. Tomographic inversion of complex resistivity: theory and application. 2000, 196pp. , Bochum University
34. Kemna A, Münch H-M, Titov K, Zimmermann E, Vereecken H. Relation of SIP relaxation time of sands to salinity, grain size and hydraulic conductivity. 2005, Extended Abstracts: Near Surface 2005, P054
35. Krumbein WC, Monk GD. Permeability as a function of the size parameters of unconsolidated sand. 1942, , Tech. Publ
36. Leroy P, Revil A. A triple layer model of the surface electrochemical properties of clay minerals. J. Colloid Interface Sci. 2004, 270(2):371-380.
37. Leroy P, Revil A. A mechanistic model for the spectral induced polarization of clay material. J. geophys. Res. 2009, 114:B10202. 10.1029/2008JB006114, doi
38. Leroy P, Revil A, Altmann S, Tournassat C. Modeling the composition of the pore water in a clay-rock geological formation (Callovo-Oxfordian, France). Geochim. Cosmochim. Acta 2007, 71(5):1087-1097. 10.1016/j.gca.2006.11.009, doi
39. Leroy P, Revil A, Kemna A, Cosenza P, Ghorbani A. Spectral induced polarization of water-saturated packs of glass beads. J. Colloid Interface Sci. 2008, 321:103-117. 10.1016/j.jcis.2007.12.031, doi
40. Lesmes DP, Morgan FD. Dielectric spectroscopy of sedimentary rocks. J. geophys. Res. 2001, 106(B7):13 329-13 346.
41. Linde N, Revil A, Bolève A, Dagès C, Castermant J, Suski B, Voltz M. Estimation of the water table throughout a catchment using self-potential and piezometric data in a Bayesian framework. J. Hydrol. 2007, 334:88-98.
42. Loke MH, Chambers JE, Ogilvy RD. Inversion of 2D spectral induced polarization imaging data. Geophys. Prospect. 2006, 54:287-301.
43. Lyklema J. Fundamentals of Interface and Colloid Science 1995, Vol. 2. Academic Press, London
44. Lyklema J. The role of surface conduction in the development of electrokinetics, in Interfacial Electrokinetics and Electrophoresis, Edited by A.V. Delgado. Surfact. Sci. Ser. 2002, 106:991-97. pp
45. Malama B, Revil A, Kulhman KL. A semi-analytical solution for transient streaming potentials associated with confined aquifer pumping tests. Geophys. J. Int. 2009a, 176:1007-1016. 10.1111/j.1365-246X.2008.04014.x, doi
46. Malama B, Kuhlman KL, Revil A. Theory of transient streaming potentials associated with axial-symmetric flow in unconfined aquifers. Geophys. J. Int. 2009b, 179:990-1003. 10.1111/j.1365-246X.2009.04336.x, doi
47. Marshall DJ, Madden TR. Induced polarization, a study of its causes. Geophysics 1959, 24:790-816.
48. Masch FD, Denny KJ. Grain size Distribution and its effect on the permeability of unconsolidated sands. Water Resour. Res. 1966, 2(4):667-677.
49. Maxwell JC. A Treatise on Electricity and Magnetism 1892, 3rd edn, Oxford University Press, London
50. Nordsiek S, Weller A. A new approach to fitting induced-polarization spectra. Geophysics 2008, 73:F235-F245.
51. O'Konski CT. Electric properties of macromolecules. Y. Theory of ionic polarization in polyelectrolytes. J. Phys. Chem. 1960, 64:605-619.
52. Olhoeft GR. Low-frequency electrical properties. Geophysics 1985, 50:2492-2503.
53. Pokrovsky O S, Schott J, Thomas F. Dolomite surface speciation and reactivity in aquatic systems. Geochim. Cosmochim. Acta 1999, 63:3133-3143.
54. Posadas AND, Giménez D, Bittelli M, Vaz CMP, Flury M. Multifractal characterization of soil particle-size distributions. Soil Sci. Soc. Am. J 2001, 65:1361-1367.
55. Pride SR. Governing equations for the coupled electromagnetics and acoustics of porous media. Phys. Rev. B 1994, 50:15 678-15 696.
56. Revil A. Ionic diffusivity, electrical conductivity, membrane and thermoelectric potentials in colloids and granular porous media: a unified model. J. Colloid Interface Sci. 1999, 212:503-522.
57. Revil A. Comment on 'Permeability prediction from MICP and NMR data using an electrokinetic approach'. Geophysics 2007, 72(4). 10.1190/1.2743006, doi
58. Revil A, Cathles LM. Permeability of shaly sands. Water Resour. Res. 1999, 35(3):651-662.
59. Revil A, Glover PWJ. Theory of ionic surface electrical conduction in porous media. Phys. Rev. B 1997, 55(3):1757-1773.
60. Revil A, Glover PWJ. Nature of surface electrical conductivity in natural sands, sandstones, and clays. Geophys. Res. Lett. 1998, 25(5):691-694.
61. Revil A, Leroy P. Hydroelectric coupling in a clayey material. Geophys. Res. Lett. 2001, 28(8):1643-1646.
62. Revil A, Leroy P. Governing equations for ionic transport in porous shales. J. geophys. Res. 2004, 109:B03208. 10.1029/2003JB002755, doi
63. Revil A, Linde N. Chemico-electromechanical coupling in microporous media. J. Colloid Interface Sci. 2006, 302:682-694.
64. Revil A, Cathles LM, Losh S, Nunn JA. Electrical conductivity in shaly sands with geophysical applications. J. geophys. Res. 1998, 103(B10):23 925-23 936.
65. Revil A, Pezard PA, Glover PWJ. Streaming potential in porous media. 1. Theory of the zeta-potential. J. geophys. Res. 1999, 104(B9):20 021-20 031.
66. Revil A, Hermitte D, Spangenberg E, Cochémé JJ. Electrical properties of zeolitized volcaniclastic materials. J. geophys. Res. 2002, 107(B8):2168. 10.1029/2001JB000599, doi
67. Revil A, Leroy P, Ghorbani A, Florsch N, Niemeijer AR. Compaction of quartz sands by pressure solution using a Cole-Cole distribution of relaxation times. J. geophys. Res. 2006, 111:B09205. 10.1029/2005JB004151, doi
68. Scott J, Barker R. Determining pore-throat size in Permo-Triassic sandstones from low-frequency electrical spectroscopy. Geophys. Res. Lett. 2003, 30(9):1450.
69. Scott J, Barker R. Characterization of sandstone by electrical spectroscopy for stratigraphical and hydrogeological investigation. Q. J. Eng. Geol. Hydrogeol. 2005, 38:143-154.
70. Sen PN, Scala C, Cohen MH. A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads. Geophysics 1981, 46(5):781-795.
71. Schurr JM. On the theory of the dielectric dispersion of spherical colloidal particals in electrolyte solution. J. Phys. Chem. 1964, 68:2407-2413.
72. Schwarz G. A theory of the low-frequency dielectric dispersion of colloidal particles in electrolyte solution. J. Phys. Chem 1962, 66:2636-2642.
73. Slater L, Lesmes D. IP interpretation in environmental investigations. Geophysics 2002a, 67(1):77-88.
74. Slater L, Lesmes D. Electrical-hydraulic relationships observed for unconsolidated sediments. Water Resour. Res. 2002b, 38(10):1213. 10.1029/2001WR00107, doi
75. Straface S, Falico C, Troisi S, Rizzo E, Revil A. An inverse procedure to estimate transmissivities from heads and SP signals. Ground Water 2007, 45(4):420-428.
76. Sturrock JT. Predictions of hydraulic conductivity using spectral induced polarizations. 1999, MS dissertation, Boston College
77. Swan HP. Dielectric spectroscopy of biological materials and field interactions: the connection with Gerhard Schwarz. Biophys. Chem. 2000, 85:273-278.
78. Tarasov A, Titov K. Relaxation time distribution from time domain induced polarization measurements. Geophys. J. Int. 2007, 170:31-43.
79. Titov K, Komarov V, Tarasov V, Levitski A. Theoretical and experimental study of time domain induced polarization in water-saturated sands. J. appl. Geophys. 2002, 50:417- 433.
80. Tong M, Li L, Wang W, Jiang Y. Determining capillary-pressure curve, pore size distribution and permeability from induced polarization of shaley sand. Geophysics 2006a, 71:N33-N40.
81. Tong M, Li L, Wang W, Jiang Y. A time-domain induced-polarization method for estimating permeability in a shaly sand reservoir. Geophys. Prospect. 2006b, 54:623-631.
82. Tournassat C, Chapron Y, Leroy P, Bizi M, Boulahya F. Comparison of molecular dynamics simulations with triple layer and modified Gouy-Chapman models in 0.1 M NaCl-montmorillonite system. J. Colloid Interface Sci. 2009, 339(2):533-541.
83. Vinegar HJ, Waxman MH. Induced polarization of shaly sands. Geophysics 1984, 49:1267-1287.
84. Wagner KW. Erklärung der dielektrischen Nachwirkungsvorgänge auf Grund Maxwellscher Vorstellungen. Archiv. Electrotechnik 1914, 2:371-387.
85. Watillon A, De Backer R. Potentiel d'écoulement, courant d'écoulement et conductance de surface à l'interface eau-verre. J. Electroanal. Chem., Interfacial Electrochem 1970, 25:181-196.
86. Waxman MH, Smits LJM. Electrical conductivities in oil bearing shaly sands. Soc. Pet. Eng. J. 1968, 8:107-122.
87. Yeung YY, Shin FG. Pulse response function of dielectric susceptibility. J. Mater. Sci. 1991, 26:1781-1787.
88. Yukselen Y, Kaya A. Suitability of the methylene blue test for surface area, cation exchange capacity and swell potential determination of clayey soils. Eng. Geol. 2008, 102:38-45.
89. Zisser N, Kemna A, Nover G. Relationship between low-frequency electrical properties and hydraulic permeability of low-permeable sandstones. Geophysics 2009
90. Zukoski CF, Saville DA. The interpretation of electrokinetic measurements using a dynamic model of the stern layer. I. the dynamic model. J. Colloid Interface Sci. 1986a, 114(1):32-44.
91. Zukoski CF, Saville DA. The interpretation of electrokinetic measurements using a dynamic model of the stern layer. II. Comparisons between theory and experiments. J. Colloid Interface Sci. 1986b, 114(1):45-53.