RELATIONSHIP BETWEEN DIELECTRIC PERMITTIVITY AND HYDRODYNAMIC PERMEABILITY OF SATURATED POROUS MEDIA
V.N. Dorovsky, S.V. Dorovsky
Siberian Software Ltd, Novosibirsk, Russia
Keywords: Maxwell’s equations, two-velocity hydrodynamics, relaxation of dielectric polarization vector, hydrodynamic permeability measurement
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.
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