RELATIONSHIP BETWEEN DIELECTRIC PERMITTIVITY AND HYDRODYNAMIC PERMEABILITY OF SATURATED POROUS MEDIA

Maxwell’s equations and the equations of two-velocity hydrodynamics of saturated porous media are consistently combined in the absence of local thermodynamic equilibrium. Equations describing relaxation of dielectric polarization vector are inferred. The law of dielectric permittivity dispersion is established in the presence of two interacting relaxation processes: relaxation of the difference in hydrodynamic velocities and relaxation of dielectric polarization. Relationship between kinetic coefficients and complex dielectric permittivity is shown, particularly relationship with hydrodynamic permeability of porous medium. A method for determining the hydrodynamic permeability of a porous medium, which does not take into account the relaxation time distribution function, based on knowledge of the dielectric spectrum was developed. Medium’s dielectric response to external inductive effect is examined for wells in saturated porous media.

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Publication Details

Journal
Russian Geology and Geophysics
Published
2025-10-28
DOI
https://doi.org/10.2113/rgg20254919
Primary Topic
Geophysical and Geoelectrical Methods
Type
article
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article

RELATIONSHIP BETWEEN DIELECTRIC PERMITTIVITY AND HYDRODYNAMIC PERMEABILITY OF SATURATED POROUS MEDIA

S.V. Dorovsky, V.N. Dorovsky
Russian Geology and Geophysics
Geophysical and Geoelectrical Methods
article

RELATIONSHIP BETWEEN DIELECTRIC PERMITTIVITY AND HYDRODYNAMIC PERMEABILITY OF SATURATED POROUS MEDIA

S.V. Dorovsky, V.N. Dorovsky
article en

Abstract

Maxwell’s equations and the equations of two-velocity hydrodynamics of saturated porous media are consistently combined in the absence of local thermodynamic equilibrium. Equations describing relaxation of dielectric polarization vector are inferred. The law of dielectric permittivity dispersion is established in the presence of two interacting relaxation processes: relaxation of the difference in hydrodynamic velocities and relaxation of dielectric polarization. Relationship between kinetic coefficients and complex dielectric permittivity is shown, particularly relationship with hydrodynamic permeability of porous medium. A method for determining the hydrodynamic permeability of a porous medium, which does not take into account the relaxation time distribution function, based on knowledge of the dielectric spectrum was developed. Medium’s dielectric response to external inductive effect is examined for wells in saturated porous media.

Russian Geology and GeophysicsVol. 66(11)
Siberian Branch of the Russian Academy of Sciences (RU)
Openalex Percentile: Top 67%
Geophysical and Geoelectrical Methods
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