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 language | English |
|---|---|
| Pages (from-to) | 379-392 |
| Number of pages | 14 |
| Journal | Pure and Applied Geophysics PAGEOPH |
| Volume | 141 |
| Issue number | 2-4 |
| DOIs | |
| Publication status | Published - Jun 1993 |
| Externally published | Yes |
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Keywords
- acoustic velocity
- Elastic constant
- equation of state
- Grüneisen constant
- heat capacity
- high pressure
- high temperature
- thermal expansivity
- thermodynamics
ASJC Scopus subject areas
- Geophysics
- Geochemistry and Petrology
Cite this
Performance of the complete travel-time equation of state at simultaneous high pressure and temperature. / Spetzler, Hartmut A.; Yoneda, Akira.
In: Pure and Applied Geophysics PAGEOPH, Vol. 141, No. 2-4, 06.1993, p. 379-392.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Performance of the complete travel-time equation of state at simultaneous high pressure and temperature
AU - Spetzler, Hartmut A.
AU - Yoneda, Akira
PY - 1993/6
Y1 - 1993/6
N2 - 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.
AB - 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.
KW - acoustic velocity
KW - Elastic constant
KW - equation of state
KW - Grüneisen constant
KW - heat capacity
KW - high pressure
KW - high temperature
KW - thermal expansivity
KW - thermodynamics
UR - http://www.scopus.com/inward/record.url?scp=0042054660&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0042054660&partnerID=8YFLogxK
U2 - 10.1007/BF00998336
DO - 10.1007/BF00998336
M3 - Article
VL - 141
SP - 379
EP - 392
JO - Pure and Applied Geophysics
JF - Pure and Applied Geophysics
SN - 0033-4553
IS - 2-4
ER -