HR: 08:35h
AN: T41H-03 [Abstracts]
TI: A critical analysis of Earth's heat loss and
secular cooling
AU: * Labrosse, S
EM: labrosse@ipgp.jussieu.fr
AF: Institut de Physique du Globe de Paris, 4, place Jussieu
Cedex 05, Paris, 75252
France
AU: Jaupart, C
EM: jaupart@ipgp.jussieu.fr
AF: Institut de Physique du Globe de Paris, 4, place Jussieu
Cedex 05, Paris, 75252
France
AB:
Earth's rate of heat loss is about twice as large as the amount of
heat generated by radioactive decay, which provides a strong
constraint on mantle convection models. Here, we evaluate how
theoretical models compare with heat flow data. Most studies rely on
a parameterized law for convective heat transfer, of the form
$Q=f(l)Ra^{1/3}T^{4/3}$, where non-dimensional heat
flux $Q$ is written as a function of Rayleigh number $Ra$ and
non-dimensional temperature
$T$. Coefficient $f$ is controlled by the planform of mantle
convection and depends
on dominant wavelength $l$. Earth's heat loss depends on mantle
temperature and maximum lithospheric age, as well as a shape function
for the heat flux distribution. The spatial distribution of heat flux
density at the surface is also
characteristic of the planform and regime of convection. Comparing
the observed distribution to theoretical predictions for a range of
convection models illustrates the peculiar characteristics of Earth's
convective regime. Earth's heat loss is sensitive to the maximum
lithospheric age and to the distribution shape function. The simplest
model, such that neither has changed by large amounts over geological
history, predicts small secular cooling rates and yields the observed
difference between present-day heat loss and heat production.
DE: 8121 Dynamics, convection currents and mantle plumes
DE: 8125 Evolution of the Earth
DE: 8130 Heat generation and transport
DE: 5418 Heat flow
DE: 5430 Interiors (8147)
SC: Tectonophysics [T]
MN: 2004 AGU Fall Meeting