Performance of the complete travel-time equation of state at simultaneous high pressure and temperature

Hartmut A. Spetzler, Akira Yoneda

    Research output: Contribution to journalArticlepeer-review

    16 Citations (Scopus)

    Abstract

    The complete travel-time equation of state (CT-EOS) is presented by utilizing thermodynamics relations, such as; {Mathematical expression} The CT-EOS enables us to analyze ultrasonic experimental data under simultaneous high pressure and high temperature without introducing any assumption, as long as the density, or thermal expansivity, and heat capacity are also available as functions of temperature at zero pressure. The performance of the CT-EOS was examined by using synthesized travel-time data with random noise of 10-5 and 10-4 amplitude up to 4 GPa and 1500 K. Those test conditions are to be met with the newly developed GHz interferometry in a gas medium piston cylinder apparatus. The results suggest that the combination of the CT-EOS and accurate experimental data (10-4 in travel time) can determine thermodynamic and elastic parameters, as well as their derivatives with unprecedented accuracy, yielding second-order pressure derivatives (∂2M/∂P2) of the elastic moduli as well as the temperature derivatives of their first-order pressure derivatives ∂2M/∂P∂T). The completeness of the CT-EOS provides an unambiguous criterion to evaluate the compatibility of empirical EOS with experimental data. Furthermore because of this completeness, it offers the possibility of a new and absolute pressure calibration when X-ray (i.e., volume) measurements are made simultaneously with the travel-time measurements.

    Original languageEnglish
    Pages (from-to)379-392
    Number of pages14
    JournalPure and Applied Geophysics PAGEOPH
    Volume141
    Issue number2-4
    DOIs
    Publication statusPublished - Jun 1 1993

    Keywords

    • Elastic constant
    • Grüneisen constant
    • acoustic velocity
    • equation of state
    • heat capacity
    • high pressure
    • high temperature
    • thermal expansivity
    • thermodynamics

    ASJC Scopus subject areas

    • Geophysics
    • Geochemistry and Petrology

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