RELATIONSHIP BETWEEN DIELECTRIC PERMITTIVITY AND HYDRODYNAMIC PERMEABILITY OF SATURATED POROUS MEDIA
V. N. Dorovsky, S. V. Dorovsky
«Siberian Software» Ltd, Novosibirsk, Russian Federation
Keywords: Maxwell's equations, two-velocity hydrodynamics, locally non-equilibrium entropy, relaxation of dielectric polarization vector, hydrodynamic permeability measurement
Abstract
Maxwell's equations and equations of two-velocity saturated porous
mediums hydrodynamics are combined under condition of absence of local
thermodynamic equilibrium. Equations describing relaxation of dielectric
polarization vector are inferred. The law of dielectric permittivity dispersion
in presence of two interacting relaxation processes is established.
Relationship between kinetic coefficients and complex dielectric permittivity
is shown, particularly relationship with hydrodynamic permeability of porous
medium. Method of determining hydrodynamic permeability of porous medium based
on its dielectric spectrum is established. Medium’s dielectric response to
external inductive effect is examined for boreholes in saturated porous media
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