An effective medium model for the electric conductivity of an N-component anisotropic and percolating mixture

Physica A: Statistical Mechanics and its Applications

Volumn 247, Issue 1-4, 1997, Pages 10-22

  Koelman, J M V A ^a   De Kuijper, A ^b  

^a PETROLEUM DEVELOPMENT OMAN   (Oman)

^b SHELL GLOBAL SOLUTIONS INTERNATIONAL B V   (United States)

Author keywords

Effective medium models; Electrical anisotropy; Multi continuous heterogeneous systems

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; MATHEMATICAL MODELS; MIXTURES;

EFFECTIVE MEDIUM MODELS; MULTI CONTINUOUS HETEROGENEOUS SYSTEMS;

PERCOLATION (SOLID STATE);

EID: 0031374138     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(97)00385-3     Document Type: Article

References (20)

1. P.F. Wortington, The evolution of shaly sand concepts in reservoir evaluation, The Log Analyst 26 (1985) 23-40.
2. P.N. Sen, C. Scala and M.H. Cohen, A self-similar model for sedimentary rocks with applications the dielectric constant of fused glass beads, Geophysics 46 (1981) 781-795.
3. K.S. Mendelson, M.H. Cohen, The effect of grain anisotropy on the electrical properties of sedimentary rocks; Geophysics 47 (1982) 257-263.
4. A.E. Bussian, Electrical conductance in a porous medium: Geophysics 48 (1983) 1258-1268.
5. P. Sheng, A.J. Callegari, Differential effective medium theory of sedimentary rocks, Appl. Phys. Lett. 44 (1984) 738-740.
6. M.R. Spalburg, The effective medium theory used to derive conductivity equations for clean and shaly hydrocarbon bearing reservoirs, Trans. 11th European Formation Evaluation Symposium, Oslo, Norway, 1988, Paper O.
7. M.T. Myers, Pore combination modelling - extending the Hanai-Bruggeman equation, Trans. SPWLA 13th Annual Logging Symp. Denver, Colorado, 1989, paper D.
8. O.A.L. de Lima, M.M. Sharma, A grain conductivity approach to shaly sandstones, Geophysics 55, 1347-1356.
9. P. Sheng, Consistent modelling of the electrical and elastic properties of sedimentary rocks, Geophysics 56 (1991) 1236-1243.
10. L.M. Schwartz, Effective medium theory of electrical conduction in two-component anisotropic composites, Physica A 207 (1994) 131-136.
11. C.R. Berg, A simple effective medium model for water saturation in porous rocks, Geophysics 60 (1995) 1070-1080.
12. J.P. Clerc, G. Giraud, J.M. Laugier, J.M. Luck, The AC electrical conductivity of binary disordered systems, percolation clusters, fractals, and related models, Adv. Phys. 39 (1990) 191-309.
13. J.M. Luck, Conductivity of random resistor networks: An investigation of the accuracy of the effective medium approximation, Phys. Rev. B 43 (1991) 3933-3944.
14. R. Landauer, Electrical conductivity in inhomogeneous media: in Solid state devices, AIP Conf. Proc. No. 40, C.W. Garland, D. Tanner (eds.), New York, 1978, p. 2.
15. Z. Hashin, S. Shtrikman, A variational approach to the theory of the effective magnetic permeability of multiphase materials, J. Appl. Phys. 33 (1962) 3125.
16. D.J. Bergman, The dielectric constant of a composite material - a problem in classical physics, Phys. Rep. 43 (1978) 377-407.
17. G.W. Milton, Bounds on the complex dielectric constant of a composite material, Appl. Phys. Lett. 37 (1980) 300.
18. A. de Kuijper, R.K.J. Sandor, J.P. Hofman, J.M.V.A. Koelman, P. Hofstra, J.A. de Waal, Electrical conductivities in oil-bearing shaly sands accurately described by the SATORI saturation model, Trans, 36th Annual Symp. SPWLA, Paris, France, Paper MM/The Log Analyst September-October 1996, pp. 22-32.
19. A. de Kuijper, R.K.J. Sandor, J.P. Hofman, J.A. de Waal, Conductivity of two-component systems, Geophysics 61 (1996) 162-168.
20. J.N. Roberts, L.M. Schwartz, Grain consolidation and electrical conductivity in porous media, Phys. Rev. B 31 (1985) 5990-5997.