Abstract
Abstract. An inverse method is devised to probe Earth's thermal
state without assuming its mineralogy. This constrains thermal conductivity
(κ) in the lower mantle (LM) by combining seismologic models of bulk
modulus (B) and pressure (P) vs. depth (z) with a new result, ∂ln(κ) / ∂P ∼ 7.33/BT, and available high temperature (T) data on
κ for lengths exceeding millimeters. Considering large samples accounts for
the recently revealed dependence of heat transport properties on
length scale. Applying separation of variables to seismologic ∂B/∂P vs. depth isolates changes with T. The resulting LM dT / dz depends
on ∂2B/∂P2 and ∂B/∂T, which
vary little among dense phases. Because seismic ∂B/∂P is
discontinuous and model dependent ∼ 200 km above the core,
unlike the LM, our results are extrapolated through this tiny layer (D′′).
Flux and power are calculated from dT / dz for cases of high (oxide) and low
(silicate) κ. Geotherm calculations are independent of κ,
and thus of LM mineralogy, but require specifying a reference temperature at
some depth: a wide range is considered. Limitations on deep melting are used
to ascertain which of our geotherm, flux, and power curves best represent
Earth's interior. Except for an oxide composition with miniscule ∂2B/∂P2, the LM heats the core, causing it to melt. Deep
heating is attributed to cyclical stresses from > 1000 km daily
and monthly fluctuations of the barycenter inside the LM.
Subject
Pulmonary and Respiratory Medicine,Pediatrics, Perinatology and Child Health
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