HR: 14:10h
AN: GP23A-03 INVITED [Abstracts]
TI: Statistical Views of Long Term Geomagnetic Field Variations
AU: * Constable, C G
EM: cconstable@ucsd.edu
AF: Institute of Geophysics and Planetary Physics, Scripps Institution of Oceanography,
University of California, San Diego, La Jolla, CA 92093-0225, United States
AB:
Paleomagnetic data are not easily assimilated into geodynamical models of Earth's core, but statistical
descriptions of paleomagnetic field behavior can provide a basis for determining whether geodynamo models
are basically compatible with long term observations of the geomagnetic field. Such statistical descriptions
generally include some kind of average field state and variability about the mean, and have often been
parameterized in terms of a so-called Giant Gaussian Process, in which spherical harmonic coefficients
describing the poloidal part of the geomagnetic field are represented as samples from specific normal probability
distributions. The time-averaged field at any location can be determined from the means, while the anticipated
variability over time is reflected in the standard deviations of these statistical distributions, and the spherical
harmonic representation in principle allows for arbitrary spatial complexity in the paleofield. In practice the
number and quality of paleomagnetic data available limit the parameters that can be determined, along with
simplifying hypotheses about overall field structure. Data used to assess field variability for these models are
usually derived from lava flows and reflect instantaneous quasi-independent observations of the field at random
times determined by the associated igneous processes. A two step process is presented for inverting globally
distributed data to find a suitable Giant Gaussian Process, first discovering parameters to describe local or
regional field variations, and then proceeding to a global inversion.
Such models can be extended by using estimates of the geomagnetic power spectrum to accommodate
temporal correlations in the spherical harmonic structures. A simplified model for frequency dependence of the
geomagnetic dipole spectrum is derived from recent estimates of the paleomagnetic power spectrum, and could
be merged with simple parametrizations for secular variation at higher spherical harmonic degree.
DE: 1507 Core processes (1213, 8115)
DE: 1510 Dynamo: theories and simulations
DE: 1522 Paleomagnetic secular variation
DE: 1595 Planetary magnetism: all frequencies and wavelengths
SC: Geomagnetism and Paleomagnetism [GP]
MN: 2007 Fall Meeting