3:00 pm, Thursday 17th March, 2005
M345 (Mathematics Building, 3rd Floor)
(afternoon tea from 2:30 pm)
Bounds on the energy budget of the core from geodesy and geomagnetism
Dr Andrew Jackson
School of Earth and Environment: Earth Sciences
University of Leeds
There is much renewed interest in the energetics of the core because of
its
relevance to the thermal history of the Earth and the ability for
magnetic field generation to take place over geological time.
Here we present the results of calculations to place lower bounds on
both the Ohmic dissipation and the entropy production rate. To do so we
adopt
the constraints arising from geodetic studies of the Earth's nutations.
Buffett and coworkers deduce the field strength at the core-mantle
and inner-core boundaries necessary to produce the required dissipation
mechanism to account for the out-of-phase response of the Earth
to the planetary driving mechanisms. We use these in tandem with
geomagnetic constraints in a variational procedure to determine
precise lower bounds on the quantities of interest.
Whilst these lower bounds are, by their very nature, underestimates of
the true dissipations, the results are actually approaching (within an
order of
magnitude) several recent estimates of the Ohmic dissipation.
We will discuss the results, areas of uncertainty and possible future
avenues of
investigation.
Convenor:Louis Moresi, Richard Wardle