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Theoretical constraints on true polar wander

Tsai, Victor C. and Stevenson, David J. (2007) Theoretical constraints on true polar wander. Journal of Geophysical Research B, 112 (B5). Art. No. B05415. ISSN 0148-0227. https://resolver.caltech.edu/CaltechAUTHORS:20140312-113944721

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Abstract

For the present geologic epoch, true polar wander (TPW) is relatively small, but simple theoretical considerations suggest that it could have been larger in other epochs. In this work, we use scaling arguments to assess the qualitative behavior of TPW and a simple Maxwell model to analytically describe how changes in mass anomalies translate into TPW. Unlike previous work, we derive simple analytical estimates of TPW based on the characteristic amplitudes and timescales for changes in the moment of inertia. We find estimates for both the amplitude and speed of TPW as a function of Earth properties. The following four main factors influence how large the maximum TPW can be: the (geological) timescale over which the desired TPW occurs τ_(TPW), the viscosity structure of the mantle which yields a weighted average viscosity η, the characteristic amplitude of the nonhydrostatic changes in the moment of inertia δC, and the added moment of inertia due to the equatorial bulge (C − A). For the nominal values η = 3 × 10^(22) Pa s and δC/(C − A) = 0.003, the maximum TPW is 61° over 100 Myr and 8° over 10 Myr. The maximum TPW speed is only sensitive to η, δC, and (C − A), and is 2.4° Myr^(-1) for the nominal values. TPW is shown to act as a low-pass filter; rapid changes in moment of inertia produce smaller and delayed TPW. A consequence of this is that inertial interchange TPW does not have a different character than TPW. TPW can have an important contribution to plate motions over relatively long timescales but not over shorter timescales. Our simple approach allows us to assess whether multiple TPW events are possible but the major uncertainty continues to be the mantle viscosity structure.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://onlinelibrary.wiley.com/doi/10.1029/2005JB003923/abstractPublisherArticle
http://dx.doi.org/10.1029/2005JB003923DOIArticle
ORCID:
AuthorORCID
Tsai, Victor C.0000-0003-1809-6672
Stevenson, David J.0000-0001-9432-7159
Additional Information:© 2007 American Geophysical Union. Manuscript Accepted: 22 Feb 2007. Manuscript Revised: 30 Jan 2007. Manuscript Received: 2 Jul 2005. Article first published online: 23 May 2007. We thank G. Acton and an anonymous reviewer for helpful comments. This research was partially supported by a National Science Foundation Graduate Fellowship (VCT).
Group:Seismological Laboratory
Funders:
Funding AgencyGrant Number
NSF Graduate Research FellowshipUNSPECIFIED
Subject Keywords:True polar wander; earth’s rotation; mantle viscosity
Issue or Number:B5
Record Number:CaltechAUTHORS:20140312-113944721
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140312-113944721
Official Citation:Tsai, V. C., and D. J. Stevenson (2007), Theoretical constraints on true polar wander, J. Geophys. Res., 112, B05415, doi:10.1029/2005JB003923.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:44280
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:12 Mar 2014 20:36
Last Modified:03 Oct 2019 06:16

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