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Simple scaling relations in geodynamics: the role of pressure in mantle convection and plume formation

Anderson, Don L. (2004) Simple scaling relations in geodynamics: the role of pressure in mantle convection and plume formation. Chinese Science Bulletin, 49 (19). pp. 2017-2021. ISSN 1001-6538. doi:10.1360/03wd0321.

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Scaling relations are important in extrapolating laboratory experiments to the Earth’s mantle. In planetary interiors, compression becomes an important parameter and it is useful to explore scalings that involve volume. I use simple volume scaling relations that allow one to extrapolate laboratory experiments and upper mantle behavior, in a thermodynamically self-consistent way, to predict lower mantle behavior. The relations are similar to the quasi-harmonic approximation. Slabs and plates have characteristic dimensions of hundreds of kilometers and time constants of 100 million years, but the volume scalings predict order of magnitude higher values in the deep mantle. The scaling relations imply that the deep mantle is a sluggish system with ancient features. They imply irreversible chemical stratification and do not favor the plume hypothesis.

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Additional Information:© 2004 Springer, Part of Springer Science+Business Media. This article is published under an open access license. Received April 9, 2004; accepted June 12, 2004. Shijie Zhong and Yaoling Niu reviewed the manuscript and gave important advice for its improvement. The author also appreciates the input of an anonymous reviewer.
Subject Keywords:scaling relations; volume-dependent properties; sluggish flow in deep mantle; chemical stratification; no mantle plumes
Issue or Number:19
Record Number:CaltechAUTHORS:20121009-084249456
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Official Citation:Anderson, D.L. Simple scaling relations in geodynamics: The role of pressure in mantle convection and plume formation. Chin.Sci.Bull. 49, 2017–2021 (2004).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:34773
Deposited By: Tony Diaz
Deposited On:09 Oct 2012 21:49
Last Modified:09 Nov 2021 23:10

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