Mantle Values of Thermal Conductivity and the Geotherm from Phonon Lifetimes
- 12 March 1999
- journal article
- review article
- Published by American Association for the Advancement of Science (AAAS) in Science
- Vol. 283 (5408) , 1699-1706
- https://doi.org/10.1126/science.283.5408.1699
Abstract
A model for thermal conductivity κ, based on phonon lifetimes obtained from infrared reflectivity, replicates experimental data at ambient conditions. The pressure and absolute temperature dependences of transport properties are accurately obtained from the Grüneisen parameter γTh, bulk modulusK T, and thermal expansivity α: The lattice contribution κlat equals κ298(298/T)aexp[−(4γTh + 1/3) ∫298 Tα(θ)dθ] witha = 0.33 for silicates (or 0.9 for MgO), and ∂[ln(κlat)]/∂P = (1/3 + 4γTh)/K T. The smaller, pressure-independent radiative contribution κrad equals 0.0175 – 0.0001037T + (2.245T 2/107) – (3.407T 3/1011), in units of watts per meter-kelvin, if Fe2+ is present. The resulting lithospheric geotherm is steep. Consequently, the mantle geotherm is hot if the low-velocity zone is anhydrous, but cold if hydrated.Keywords
This publication has 65 references indexed in Scilit:
- Thermal diffusivity of periclase at high temperatures and high pressuresPhysics of the Earth and Planetary Interiors, 1997
- Thermal diffusivity of MgSiO3 perovskiteGeophysical Research Letters, 1991
- The effect of pressure on the thermal conductivity of silicate rocks up to 12 kbarPhysics of the Earth and Planetary Interiors, 1989
- Interpretation of the D″ zone at the base of the mantle: Dependence on assumed values of thermal conductivityGeophysical Research Letters, 1986
- Thermal conductivity of solids and liquids under pressureReports on Progress in Physics, 1984
- The thermal boundary-layer interpretation of D″ and its role as a plume sourcePhysics of the Earth and Planetary Interiors, 1983
- Preliminary reference Earth modelPhysics of the Earth and Planetary Interiors, 1981
- Absorption spectrum of shock-compressed Fe2+-bearing MgO and the radiative conductivity of the lower mantlePhysics of the Earth and Planetary Interiors, 1980
- Thermal conductivity of NaCl, MgO, coesite and stishovite up to 40 kbarPhysics of the Earth and Planetary Interiors, 1978
- Thermal regime of the Earth's corePhysics of the Earth and Planetary Interiors, 1973