Scaling of stagnant-lid convection with Arrhenius rheology and the effects of mantle melting
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On the basis of numerical modelling and scaling analysis, a few modifications are proposed for the scaling of stagnant-lid convection, in order to make it more applicable to the thermal evolution of terrestrial planets. The effect of using Arrhenius rheology, as opposed to more popular linear-exponential rheology, is first investigated, and the stability analysis of top thermal boundary layer is shown to be able to capture systematic differences caused by the different kinds of temperature-dependent viscosity. The local stability analysis is then extended to handle the effects of mantle melting such as dehydration stiffening and compositional buoyancy. A new heat-flow scaling law incorporating these effects suggests that mantle melting may reduce the conventional prediction of surface heat flux by up to a factor of ∼5–10, and its potential impact on our understanding of planetary evolution is briefly discussed.
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The linear-exponential temperature dependency is chosen because it requires only one nondimensional parameter θ, whereas the Arrhenius-type dependency requires three.
“I choose to use the latter because it is specified by only one nondimensional232 parameter θ , whereas the Arrhenius-type temperature dependency requires three”
From Scaling of plate-tectonic convection with pseudoplastic rheology (2010) · cites this paper as Korenaga, 2009
Applying the bottom heated scaling laws to the Earth only introduces a small error, because convecting systems with different heating modes are generally found to follow scaling laws with the same form when the system is analyzed in terms of the internal Rayleigh number.
“applying the bottom heated scaling laws to the Earth only introduces a small error, because convecting systems with different heating modes are generally found to follow scaling laws with the same form when the system is analyzed in terms of the internal Rayleigh number”
From Initiation of plate tectonics from post‐magma ocean thermochemical convection (2014) · cites this paper as Korenaga, 2009
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Drabon, N., & Bell, E. A. (2025) · Elsevier eBooks · doi:10.1016/b978-0-323-95547-8.00006-9
Grigné, C. (2026) · Physics of The Earth and Planetary Interiors · doi:10.1016/j.pepi.2026.107543
Origin of river terraces by isostatic unloading of the lithosphere
Watts, A. B. (2026) · Journal of the Geological Society · doi:10.1144/jgs2026-026
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- Authors
- Korenaga, J.
- Affiliations
- Yale University (US)
- Corresponding author
- Korenaga, Jun
- ORCID
- Korenaga, Jun
- Venue
- Geophysical Journal International
- Publisher
- Oxford University Press (OUP)
- Published
- 2009-10
- Volume
- 179
- Issue
- 1
- Pages
- 154-170
- ISSN
- 0956-540X (ISSN-L)
- 1365-246X
- OpenAlex
- W1981931554
- Cited by
- 68
- References
- 53
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 2 · 2023: 3 · 2022: 3 · 2021: 4 · 2020: 4 · 2019: 3 · 2018: 10 · 2017: 4 · 2016: 8 · 2015: 4 · 2014: 4 · 2013: 4 · 2012: 5
- FWCI
- 2.41
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Geophysical Journal International (publishedVersion)
- Topics
- Physical Sciences › Earth and Planetary Sciences › Geophysics › High-pressure geophysics and materials
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astro and Planetary Science
- Physical Sciences › Earth and Planetary Sciences › Geophysics › Geological and Geochemical Analysis
- Keywords
- stagnant lid convection, mantle melting, compositional buoyancy, surface heat flux, temperature-dependent viscosity
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