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Regime classification and planform scaling for internally heated mantle convection

Hüttig, C. and Breuer, D. (2011) Regime classification and planform scaling for internally heated mantle convection. Physics of the Earth and Planetary Interiors, 186 (3-4), pp. 111-124. Elsevier. DOI: doi:10.1016/j.pepi.2011.03.011

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Official URL: http://www.sciencedirect.com/science/article/pii/S0031920111000690

Abstract

Internally heated 3-D mantle convection models in a spherical shell with temperature and pressure dependent viscosity have been performed to provide new insights into the various convection regimes, the transition from steady state convection to time-dependent convection and the associated convection pattern. The analysis of a total of 91 simulations reveals four regime types, i.e., a mobile-lid regime, a sluggish regime, a low-degree regime, and a stagnant-lid regime. The occurrence of these regimes depends on the viscosity contrast and the internal Rayleigh number. The low-degree regime occurs close to the boundary of the stagnant-lid regime in case of temperature dependent viscosity. In case of additional pressure dependence, the range of the low-degree regime is smaller and a narrow range of the sluggish-lid regime exists in the weakly convecting part. Furthermore, the transition to the stagnant-lid regime occurs at a lower viscosity contrast. For the stagnant-lid regime we have derived a scaling law describing the heat transport. Similar scalings could not be obtained for the other regimes as this seems to require also a correlation of the convective pattern with the internal Rayleigh number. Such a relation is only given for the stagnant-lid regime in case of 3D spherical geometry. The stagnant-lid cases in steady state show a minimal possible degree of the convective pattern that is independent on the pressure dependence of viscosity and remains constant until time-dependent convection sets in with increasing Ra. At this stage, the dominant degree of the convective pattern increases with increasing internal Ra but the slope varies with the pressure dependence of the viscosity. Highlights: 1. Internally heated 3-D mantle convection models in a spherical shell with temperature and pressure dependent viscosity have been performed to provide new insights into the various convection regimes. 2. We were able to predict the pattern of convection (dominant degree) for high Rayleigh numbers in the stagnant-lid regime. 3. A case study of 91 3D simulations helped to identify a low-degree regime close to the border to the stagnant-lid regime. 4. We were able to determine the rheological constant through full inversion.

Item URL in elib:https://elib.dlr.de/69646/
Document Type:Article
Title:Regime classification and planform scaling for internally heated mantle convection
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Hüttig, C.christian.huettig (at) dlr.deUNSPECIFIED
Breuer, D.doris.breuer (at) dlr.deUNSPECIFIED
Date:2011
Journal or Publication Title:Physics of the Earth and Planetary Interiors
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:186
DOI :doi:10.1016/j.pepi.2011.03.011
Page Range:pp. 111-124
Publisher:Elsevier
Status:Published
Keywords:Mantle convection; Internally heated; Temperature dependent viscosity; Planform; Degreeone; Scaling; Convection; Natural
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W EW - Erforschung des Weltraums
DLR - Research area:Space
DLR - Program:W EW - Erforschung des Weltraums
DLR - Research theme (Project):W - Vorhaben Exploration des Sonnensystems (old)
Location: Berlin-Adlershof
Institutes and Institutions:Institute of Planetary Research > Planetary Physics
Institute of Planetary Research
Deposited By: Noack, Lena
Deposited On:15 Jun 2011 13:18
Last Modified:06 Sep 2019 15:19

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