Conductivity of two‐component systems

Kuijper, Arno; Sandor, Robert K.J.; Hofman, J.P.; Waal, J.A. de

doi:10.1190/1.1443936

Cited by 14 publications

(6 citation statements)

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“…(Keller, 1982). Such low values habitually characterize nonconsolidated assemblages of spherical glass beads (Lemaitre et al, 1988;de Kuijper et al, 1996) or may reflect a well connected pore-space at the microscopic scale in rocks (Le Ravalec et al, 1996). Thus, the low values of m may be related to the simple microgeometrical models used for this set of simulations.…”

Section: Discussionmentioning

confidence: 96%

Numerical estimation of electrical conductivity in saturated porous media with a 2-D lattice gas

2000

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A 2-D lattice gas is used to calculate the effective electrical conductivity of saturated porous media as a function of porosity and conductivity ratio R c between the pore-filling fluid and the solid matrix for various microscopic structures of the pore space. The way the solid phase is introduced allows the porosity φ to take any value between 0 and 1 and the geometry of the pore structure to be as complex as desired. The results are presented in terms of the formation factor F = σ w /σ r , with σ r the effective conductivity of the saturated rock and σ w the conductivity of the fluid. It is shown that the formation factor F as a function of the porosity φ follows a power law F = aφ −m , equivalent to the empirical Archie's law. The exponent m varies with the microgeometry of the pore space and could therefore reflect the microstructure at the macroscopic scale. The prefactor a of the power law, however, is close to 1 regardless of the microstructure. For a given microgeometry of the pore space, the variation of the residual electrical conductivity of the solid matrix induced by a finite conductivity ratio R c does not significantly influence the variation of the effective conductivity of the fluid-solid binary mixture unless the porosity is low.

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Section: Discussionmentioning

confidence: 96%

Numerical estimation of electrical conductivity in saturated porous media with a 2-D lattice gas

2000

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“…For unconsolidated dispersions, it has been shown theoretically that the exponent is 1.5. 21,22 Later work 23,24 has confirmed the results of Archie, and, generally, a value of approximately 2 is used. On the other hand, the modeling work of Bryant and Pallatt 25 produced an m equal to 3.2 at porosities of less than 10%.…”

Section: Introductionmentioning

confidence: 90%

Characterizing Curing Cement Slurries by Electrical Conductivity

Backe

Lile

Lyomov

2001

SPE Drilling &Amp; Completion

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Electrical conductivity is a parameter that can be used to monitor the entire hardening process of oilwell cement slurries. The theoretical relationship among conductivity, porosity, cement chemistry, and ion content is discussed. The theory is confirmed by experiments; the decline in the slurry conductivity is primarily a function of porosity decrease and, thus, the degree of hydration. The applied results show that the electrical conductivity of curing slurries reflects strength development and that rapid hydration will reduce the risk of gas migration.

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“…In this group, although the coupling between inclusions (i.e. EM interactions) is roughly approximated, resulting analytical expressions of the macroscopic effective conductivity depend on porosity and inclusion shape [ De Kuijper et al , 1996] and Archie's law is derived for granular media [ Sen et al , 1981; Mendelson and Cohen , 1982].…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of the role of water and clay content in soils' and rocks' bulk electrical conductivity

et al. 2002

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[1] The influence of clay and water content in the electrical conductivity of rocks and soils has been experimentally established and is expressed by simple empirical laws: the Archie's law and the addition law between volume water conductivity and surface shale conductivity. Two independent numerical modeling techniques, the moment method and the finite difference method, are presented here and are used, first, to verify the agreement between Maxwell's equation based theoretical approaches and the empirical laws and, second, to begin to investigate for a possible effect of the microscopic geometry over macroscopic conductivity. A good agreement between simulation results and Archie's law is obtained when both randomly distributed isotropic and elongated microvolumes of conducting water are considered and a slight difference appears between these two microstructures. For low clay contents in clay-dispersed media, the clay-associated conductivity is shown to be proportional to a specific clay area, which is in good agreement with the addition empirical law.INDEX TERMS: 3914 Mineral Physics: Electrical properties; 0619 Electromagnetics: Electromagnetic theory; 0644 Electromagnetics: Numerical methods; 0999 Exploration Geophysics: General or miscellaneous; KEYWORDS: numerical modeling, electrical conductivity, water content Citation: Tabbagh, A., C. Panissod, R. Guérin, and P. Cosenza, Numerical modeling of the role of water and clay content in soils' and rocks' bulk electrical conductivity,

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Conductivity of two‐component systems

Cited by 14 publications

References 0 publications

Numerical estimation of electrical conductivity in saturated porous media with a 2-D lattice gas

Numerical estimation of electrical conductivity in saturated porous media with a 2-D lattice gas

Characterizing Curing Cement Slurries by Electrical Conductivity

Numerical modeling of the role of water and clay content in soils' and rocks' bulk electrical conductivity

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