The relationship between electrical conductivity and melt fraction in a partially molten simple system: Archie's law behavior

Details The relationship between electrical conductivity and melt fraction in a partially molten simple system: Archie's law behavior The relationship between electrical conductivity and melt fraction in a partially molten simple system: Archie's law behavior

Jun 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993pepi...78....9w&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 78, Issue 1-2, p. 9-17.

Physics

15

Scientific paper

Electrical conductivity in the partially molten state was measured to clarify the relationship between conductivity and the melt fraction. The use of an H2O ice-KCl aqueous solution system as an analog of partially molten Earth materials enables us to control the melt fraction precisely. A steep increase in the conductivity was observed at the solidus even when the melt fraction was less than 1 vol.%. The increase in conductivity with the melt fraction follows Archie's law: the bulk conductivity normalized by the conductivity of the melt is proportional to a power of the melt fraction. This behavior has been generally observed for sedimentary rocks saturated with water, and is predicted to occur in partially molten materials. Our study confirms this prediction in a simple analog material. Archie's law is interpreted in terms of the connectivity of the melt, which is estimated based on a resistor network theory. The electrical conductivity in the partially molten upper mantle is also discussed. Archie's law is suitable for use in interpreting geoelectrical data for that region.
Present address: Geoscience Institute, University of Tsukuba, Ten'nohdai 1-1-1, Tsukuba, Ibaraki 305, Japan.

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