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Published October 15, 1968 | Published
Journal Article Open

Shock-Wave Equations of State for Rocks and Minerals


A method is proposed for estimating the zero-pressure parameters of the high-pressure, high-temperature phases formed by intense shock loading of rocks and minerals. The method involves an empirical relationship between the zero-pressure mean molar volume and the slope at the base of the P-V curve. Equations of state are fitted to shock-wave data for eighteen rocks and minerals. Most of the materials collapsed to a denser phase or assemblage of phases when shocked to sufficiently high pressure. If a phase change occurs, parameters of the high-pressure phase are found for a range of ρ_0 the raw Hugoniot and an estimated metastable Hugoniot. The polymorphic transitions involve a considerable reduction in volume, ranging from 33 to 49% for feldspar and quartz-rich rocks such as albitite, anorthosite, and granite, 20% for such basic rocks as diabase and dunite, and about 12% for some dense already closely packed minerals such as spinel, hematite, and magnetite. The parameter (dK/dP)_0, which is related to the Grüneisen ratio, is found to decrease across phase changes and upon iron substitution.

Additional Information

© 1968 American Geophysical Union. Manuscript Received: 2 MAR 1968. We are very grateful to R. G. McQueen, S. P. Marsh, and J. N. Fritz for kindly allowing us to see their data in advance of publication. These data were initially brought to our attention by Francis Birch. Martin Smith assisted in the analysis. This research was partially supported by the Air Force Office of Scientific Research, Office of Aerospace Research, United States Air Force, under AFOSR contract AF-49(638)-1337.

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