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Rock conductivity and fractal nature of porosity
Author(s) -
Ruffet Clotilde,
Gueguen Yves,
Darot Michel
Publication year - 1991
Publication title -
terra nova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.353
H-Index - 89
eISSN - 1365-3121
pISSN - 0954-4879
DOI - 10.1111/j.1365-3121.1991.tb00144.x
Subject(s) - fractal , geology , porosity , relaxation (psychology) , electrical resistivity and conductivity , mineralogy , low frequency , dispersion (optics) , frequency dependence , conductivity , range (aeronautics) , materials science , geotechnical engineering , nuclear magnetic resonance , composite material , optics , physics , mathematics , mathematical analysis , psychology , social psychology , quantum mechanics , astronomy
While the d.c. electrical properties of a rock, through the volume conductivity, provide information on pore space structure (Formation factor) and pore fluid, the frequency dependence of the electrical parameters allows the characterization of the pore‐matrix interfaces. To illustrate these properties, we present here some results of measurements performed on sedimentary rocks (Vosges and Fontainebleau sandstones). These samples have a classical electrical response, i.e. a ‘Cole and Cole’ frequency behaviour near a certain relaxation frequency and a low‐frequency dispersion. We discuss some of the models that have been proposed in the past to explain this behaviour. It appears that most of them are valid near and above the relaxation frequency, but only Dissado and Hill's model seems to be satisfactory over the whole frequency range. The fractal nature of the interfaces, assumed in two of these models but appropriate only for one of them, could also be a convenient explanation for the frequency dependence.