A simplified mantle convection model for thermal conductivity stratification

Physics of the Earth and Planetary Interiors

Volumn 146, Issue 1-2, 2004, Pages 163-177

  Yanagawa, Tomohiko K B ^a   Nakada, Masao ^b   Yuen, David A ^c  

^a Graduate School of Sciences   (Japan)

^b Department of Dermatology   (Japan)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Mantle convection; Thermal conductivity; Thermal history

Indexed keywords

CONVECTION; MANTLE; MANTLE PLUME; MANTLE STRUCTURE; STRATIFICATION; THERMAL CONDUCTIVITY;

EID: 3042853061     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2003.07.031     Document Type: Article

References (38)

1. Arakawa A.Computational design for long-term numerical integrations of the equations of atmospheric motion Comput. Phys. 1 1966 119-143
2. Balachandar S.Yuen D.A.Reuteler D.Time-dependent three-dimensional compressible convection with depth-dependent properties Geophys. Res. Lett. 19 1992 2247-2250
3. Brown J.M.Interpretation of the D″ zone at the base of the mantle: dependence on assumed values of thermal conductivity Geophys. Res. Lett. 13 1986 1509-1512
4. Buck W.R.Analysis of the cooling of a variable-viscosity fluid with applications to the Earth Geophys. J. R. Astron. Soc. 89 1987 549-577
5. Bunge H.P.Richards M.A.Baumgardner J.R.Effects of depth-dependent viscosity on the planform of mantle convection Nature 379 1996 436-438
6. Christensen U.R.Thermal evolution models for the Earth J. Geophys. Res. 90 1985 2995-3007
7. Davies G.F.Mantle convection under simulated plates: effects of heating models and ridge and trench migration, and implications for the core-mantle boundary, bathymetry, the geoid and Benioff. zones Geophys. J. R. Astron. Soc. 84 1986 153-183
8. Delandro-Clarke W.Jarvis G.T.Numerical models of mantle convection with secular cooling Geophys. J. Int. 129 1997 183-193
9. Dubuffet F.Yuen D.A.Rabinowicz M.Effects of a realistic mantle thermal conductivity on the patterns of 3D convection Earth Planet. Sci. Lett. 171 1999 401-409
10. Dubuffet F.Yuen D.A.A thick pipe-like heat-transfer mechanism in the mantle: nonlinear coupling between 3-D convection and variable thermal conductivity Geophys. Res. Lett. 27 2000 17-20
11. Dubuffet F.Yuen D.A.Yanagawa T.K.B.Feedback effects of variable thermal conductivity on the cold downwellings in high Rayleigh number convection Geophys. Res. Lett. 27 2000 2981-2984
12. Dubuffet F.Yuen D.A.Rainey E.S.G.Controlling thermal chaos in the mantle by positive feedback from radiative thermal conductivity Nonlinear Process. Geophys. 129 2002 359-375
13. Guillou L.Jaupart C.On the effect of continents on mantle convection J. Geophys. Res. 100 1995 24217-24238
14. Gurnis M.Davies G.F.Numerical study of high Rayleigh number convection in a medium with depth-dependent viscosity Geophys. J. R. Astron. Soc. 85 1986 523-541
15. Hansen U.Yuen D.A.Kroening S.E.Larsen T.B.Dynamical consequences of depth-dependent thermal expansivity and viscosity on mantle circulations and thermal structure Phys. Earth Planet. Int. 77 1993 205-223
16. Hofmeister A.Mantle values of thermal conductivity and the geotherm from phonon lifetimes Science 283 1999. 1699-1706
17. Hofmeister A.Thermal conductivity of spinels and olivines from vibrational spectroscopy: Ambient conditions Am. Mineral. 86 2001 1188-1208
18. Kawada Y.Honda S.Parametrization of heat transport by non-Newtonian convection Geophys. J. Int. 137 1999 441-448
19. Keller J.B.Periodic oscillations in a model of thermal convection J. Fluid Mech. 26 1966 599-606
20. Leitch A.M.Yuen D.A.Sewell G.Mantle convection with internal heating and pressure-dependent thermal expansivity Earth Planet. Sci. Lett. 102 1991 213-232
21. Leitch A.M.Effects of temperature and mantle dynamics on estimates of the thermal conductivity in the deep mantle Phys. Earth Planet. Int. 89 1995 89-108
22. Manga M.Jeanloz R.Implications of a metal-bearing chemical boundary layer in D" for mantle dynamics Geophys. Res. Lett. 23 1996 3091-3094
23. Plaßmann T.S.Christensen U.A test of approximations for modeling convection with temperature-dependent viscosity Phys. Earth Planet. Int. 120 2000 103-110
24. Schatz J.F.Simmons G.Thermal conductivity of Earth materials at high temperatures J. Geophys. Res. 77 1972 6966-6983
25. Schubert G.Stevenson D.J.Cassen P.Whole planet cooling and the radiogenic heat source contents of the Earth and Moon J. Geophys. Res. 85 1980 2511-2518
26. Sharpe H.N.Peltier W.R.Parameterized mantle convection and the Earth's thermal history Geophys. Res. Lett. 5 1978 737-740
27. Stevenson D.J.Spohn T.Schubert G.Magmatism and thermal evolution of the terrestrial planets Icarus 54 1983 466-489
28. Tackley P.J.Effects of strongly variable viscosity on three-dimensional compressible convection in planetary mantles J. Geophys. Res. 101 1996 3311-3332
29. Tatebe O. The multigrid preconditioned conjugate gradient method. In: Proceedings of Sixth Copper Mountain Conference on Multigrid Methods, NASA Conference Publication, vol. 3224, 1993, pp. 621-634.
30. Tozer D.C.The present thermal state of the terrestrial planets Phys. Earth Planet. Int. 6 1972 182-197
31. van den Berg A.P.Yuen D.A.Steinbach V.The effects of variable thermal conductivity on mantle heat transfer Geophys. Res. Lett. 28 2001 575-578
32. van den Berg A.P.Yuen D.A.Allwardt J.R.Nonlinear effects from variable thermal conductivity and mantle internal heating: Implications for massive melting and secular cooling of mantle Phys. Earth Planet. Int. 129 2002 359-375
33. van den Berg A.P.Yuen D.A.Delayed cooling of the Earth's mantle due to variable thermal conductivity and the formation of a low conductivity zone Earth Planet. Sci. Lett. 199 2002 403-413
34. Weinstein S.A.Olson P.L.Yuen D.A.Time-dependent large aspect-ratio thermal convection in the Earth's mantle Geophys. Astrophys. Fluid Dyn. 47 1989 157-197
35. Welander P.On the instability of a differentially heated fluid loop J. Fluid Mech. 29 1967 17-30
36. 2 observation Ann. Geophys. 3 1985. 647-654
37. Zhang S.Yuen D.A.The influences of lower mantle viscosity stratification on 3D spherical-shell mantle convection Earth Planet. Sci. Lett. 132 1995 157-166
38. Zhang S.Yuen D.A.Various influences on plumes and dynamics in time-dependent, compressible mantle convection in 3-D spherical shell Phys. Earth Planet. Int. 94 1996 241-267