Effective electrical conductivity of 3-D heterogeneous porous media

Geophysical Research Letters

Volumn 29, Issue 14, 2002, Pages

  Hautot, Sophie ^a,b   Tarits, Pascal ^a,b  

^a CNRS   (France)

^b INSTITUT UNIVERSITAIRE EUROPÉEN DE LA MER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CONDUCTIVITY; GEOMETRY; POROUS MATERIALS; SOLVENTS; VOLUME FRACTION;

CONDUCTIVE ELEMENTS; EFFECTIVE CONDUCTIVITY; ELECTRICAL CONDUCTIVITY; HETEROGENEOUS POROUS MEDIA; HOMOGENEOUS HALF SPACE; PERCOLATION THEORY; PERCOLATION THRESHOLDS; THREEDIMENSIONAL (3-D);

POROSITY;

EID: 0037101731     PISSN: 00948276     EISSN: 19448007     Source Type: Journal    
DOI: 10.1029/2002GL014907     Document Type: Article

References (26)

1. Archie, G. E., The electrical resistivity log as an aid in determining some reservoir characteristics, Trans. Am. Inst. Mech. Eng., 146, 54-61, 1942.
2. Bahr, K., Percolation in the crust derived from distortion of electric fields, Geophys. Res. Lett., 27, 1049-1052, 2000.
3. Balberg, I., B. Berkowitz, and, G. E. Drachsler, Application of a percolation model to flow in fractured hard rocks, J. Geophys. Res., 96, 10,015-10,021, 1991.
4. Berkowitz, B., and, R. P. Ewing, Percolation theory and network modeling-Applications in soil physics, Surv. Geophys., 19, 23-72, 1998.
5. Bigalke, J., Investigation of the conductivity of random networks, Physica A, 272, 281-293, 1999.
6. Bigalke, J., A study concerning the conductivity of porous rocks, Phys. Chem. Earth A, 25, 189-194, 2000.
7. Brace, W. F., A. S. Orange, and, T. R. Madden, The effect of pressure on the electrical resistivity of water-saturated crystalline rocks, J. Geophys. Res., 70, 5669-5678, 1965.
8. David, C., Y. Gueguen, and, G. Pampoukis, Effective medium theory and network theory applied to the transport properties of rock, J. Geophys. Res., 95, 6993-7005, 1990.
9. Flóvenz, Ó., L. S. Georgsson, and, K. Árnason, Resistivity structure of the upper crust in Iceland, J. Geophys. Res., 90, 10,136-10,150, 1985.
10. Hashin, Z., and, S. Shtrikman, A variational approach to the theory of the effective magnetic permeability of multiphase materials, J. Appl. Phys., 33, 3125-3131, 1962.
11. Haslund, E., and, B. Nøst, Determination of porosity and formation factor of water-saturated porous specimens from dielectric dispersion measurements, Geophysics, 63, 149-153, 1998.
12. Hautot, S., P. Tarits, K. Whaler, B. Le Gall, J. J. Tiercelin, and, C. Le Turdu, The deep structure of the Baringo Rift basin (central Kenya) from 3-D magnetotelluric imaging: Implications for rift evolution, J. Geophys. Res., 105, 23,493-23,518, 2000.
13. Hautot, S., P. Tarits, F. Perrier, C. Tarits, and, M. Trique, Groundwater electromagnetic imaging in complex geological and topographical regions: A case study of a tectonic boundary in the French Alps, Geophysics, in press, 2002.
14. Hermance, J. F., The electrical conductivity of materials containing partial melt, a simple model from Archie's law, Geophys. Res. Lett., 6, 613-616, 1979.
15. Le Mouël, J. L., and, M. Menvielle, Geomagnetic variation anomalies and deflection of telluric currents, Geophys. J. R. Astron. Soc., 68, 575-587, 1982.
16. Mackie, R. L., T. R. Madden, and, P. E. Wannamaker, Three-dimensional magnetotelluric modeling using difference equations-Theory and comparisons to integral equation solutions, Geophysics, 58, 215-226, 1993.
17. Madden, T. R., Random networks and mixing laws, Geophysics, 41, 1104-1125, 1976.
18. Mainprice, D., The estimation of seismic properties of rocks with heterogeneous microstructures using a local cluster model-Preliminary results, Phys. Chem. Earth A, 25, 155-161, 2000.
19. Pham, D. C., Electrical properties of sedimentary rocks having interconnected water-saturated pore spaces, Geophysics, 65, 1093-1097, 2000.
20. Sen, P. N., C. Scala, and, M. H. Cohen, A self-similar model for sedimentary rocks with application to the dielectric constant of fused glass beads, Geophysics, 46, 781-795, 1981.
21. Shankland, T. J., and, H. S. Waff, Conductivity in fluid-bearing rocks, J. Geophys. Res., 79, 4863-4868, 1974.
22. Spitzer, K., A 3-D finite-difference algorithm for DC resistivity modelling using conjugate gradient methods, Geophys. J. Int, 123, 903-914, 1995.
23. Stauffer, D., and, A. Aharony, Introduction to Percolation Theory, 2nd ed., 181 pp., Taylor and Francis, London, 1992.
24. Telford, W. M., L. P. Geldart, and, R. E. Sheriff, Applied Geophysics, 2nd ed., 770 p., Cambridge University Press, 1990.
25. Waff, H. S., Theoretical considerations of electrical conductivity in a partially molten mantle and implications for geothermometry, J. Geophys. Res., 79, 4003-4010, 1974.
26. Wong, P., J. Koplik, and, J. P. Tomanic, Conductivity and permeability of rocks, Phys. Rev. B Solid State, 50, 6606-6614, 1984.