Affiliation:
1. Department of Earth and Planetary Science, Washington University, St. Louis, MO 63130, USA.
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 γ
Th
, bulk modulus
K
T
, and thermal expansivity α: The lattice contribution κ
lat
equals κ
298
(298/
T
)
a
exp[−(4γ
Th
+ 1/3) ∫
298
T
α(θ)
d
θ] with
a
= 0.33 for silicates (or 0.9 for MgO), and ∂[ln(κ
lat
)]/∂
P
= (1/3 + 4γ
Th
)/
K
T
. The smaller, pressure-independent radiative contribution κ
rad
equals 0.0175 – 0.0001037
T
+ (2.245
T
2
/10
7
) – (3.407
T
3
/10
11
), in units of watts per meter-kelvin, if Fe
2+
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.
Publisher
American Association for the Advancement of Science (AAAS)
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