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Hermance 1979
Hermance, J.F. (1979). The electrical conductivity of materials containing partial melt: A simple model from Arhie’s law. Geophysical Research Letters 6: doi: 10.1029/GL006i007p00613. issn: 0094-8276.

The presence of partial melt can profoundly affect the bulk electrical properties of composite materials. A class of melt distributions is considered where melt distributions is considered where melt forms is one place and accumulates elsewhere; a case modelled by a simple modification of Archie's Law for porous media. This relation provides values for the bulk conductivity intermediate to those for a thoroughly connected melt distribution and those for isolated melt pockets. Thus, if melt is tortously distributed, larger amounts are required to produce a given increase of the bulk conductively, than if it is thoroughly interconnected along grain boundaries.

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Geophysical Research Letters
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American Geophysical Union
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