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Theoretical Equations of State

Sammis, Charles G. (1971) Theoretical Equations of State. Eos, 52 (5). IUGG 122-IUGG 126. ISSN 0096-3941. doi:10.1029/EO052i005pIU122.

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The primary objective of theoretical equation-of-state work in geophysics has been to provide a framework with which the ultrasonic, X-ray compression, and shock data can be used in interpreting the seismic velocity and density profiles in the earth. Each of these experimental techniques falls short of the ultimate experiment of reproducing the temperature-pressure conditions at any depth in the earth and measuring V_p, V_s, and p of mantle-candidate mineral assemblages for direct comparison with the seismic profiles. The ultrasonic data give V_p, V_s, and p as a function of T and P, but the pressure range has been limited to ∼10 kb. This limit necessitates a large extrapolation for discussion of even the upper mantle. The X-ray static compression measurements have a pressure range to 300 kb, but are limited to room temperature and to only the pure compression properties K_T and p. Finally, although the shock-wave techniques can generate pressures comparable to those found throughout the earth's mantle and core, the shock-produced states are characterized by pressure and internal energy. Thus an E(T, P) equation of state is required before the data can effectively be used. Further, like static compression experiments, the shock technique now yields only K and p.

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Additional Information:© 1971 American Geophysical Union. This report is contribution 1940, Division of Geological Sciences, California Institute of Technology, Pasadena. The work was supported by NASA contract NGL05-002-069.
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Caltech Division of Geological Sciences1940
Issue or Number:5
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Official Citation:Sammis, C. G. (1971), Theoretical Equations of State, Eos Trans. AGU, 52(5), IUGG 122–IUGG 126, doi:10.1029/EO052i005pIU122
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:54358
Deposited By: Tony Diaz
Deposited On:04 Feb 2015 17:28
Last Modified:10 Nov 2021 20:32

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