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    A set of analytical formulae to model deglaciation-induced polar wander

    Access Status
    Fulltext not available
    Authors
    Keller, Wolfgang
    Kuhn, Michael
    Featherstone, Will
    Date
    2012
    Type
    Conference Paper
    
    Metadata
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    Citation
    Keller, W. and Kuhn, M. and Featherstone, W. E. 2012. A set of analytical formulae to model deglaciation-induced polar wander, in Kenyon, S. and Pacino, M. C. and Marti, U. (ed), Geodesy for Planet Earth, Proceedings of the 2009 IAG Symposium, Buenos Aires, Argentina, 31 August 31 - 4 September 2009, Volume 136, pp 527-535, pp. 527-536. New York: Springer
    Source Title
    Geodesy for Planet Earth - Proceedings of the 2009 IAG Symposium
    Source Conference
    2009 IAG Symposium
    Additional URLs
    http://link.springer.com/chapter/10.1007%2F978-3-642-20338-1_64#
    ISBN
    978-3-642-20338-1
    URI
    http://hdl.handle.net/20.500.11937/31510
    Collection
    • Curtin Research Publications
    Abstract

    Traditionally, deglaciation-induced polar wander changes are modelled using a saw-tooth-shaped function for the time-history of ice sheets and spherical caps to express their spatial extent. In this contribution we present a set of analytical formulae that allow for a more realistic temporal evolution as well as spatial distribution of current ice masses and the corresponding sea level change when partly or completely melted. Starting with the linearized Liouville equations we develop closed-form time-domain solutions via the Laplace-domain, which are based on the assumption of a piecewise linear time-history of the perturbation of the inertia, which do not require the solution of convolution integrals. As being a central aspect of polar wander modelling we also revisit perturbation of the moment of inertia changes due to arbitrary surface loading due to changes in ice and ocean water masses and compare them with the result of the more simplistic models of spherical ice caps and a uniform sea level change. Finally, the correctness of the developed formulae is checked by various numerical checks based on more simplistic models and numerical integration techniques.

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