The influence of variable viscosity on delayed cooling due to variable thermal conductivity

Physics of the Earth and Planetary Interiors

Volumn 142, Issue 3-4, 2004, Pages 283-295

  van den Berg, A P ^a   Yuen, D A ^b   Rainey, E S G ^c  

^a UTRECHT UNIVERSITY   (Netherlands)

^b UNIVERSITY OF MINNESOTA   (United States)

^c PLANETARY SCIENCE INSTITUTE   (United States)

Author keywords

Delayed secular cooling; Variable thermal conductivity; Variable viscosity

Indexed keywords

COOLING; MANTLE; THERMAL CONDUCTIVITY; VISCOSITY;

EID: 14944360335     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2004.01.007     Document Type: Article

References (35)

1. Balachandar S.Yuen D.A.Reuteler D.Time-dependent three-dimensional compressible convection with depth-dependent properties Geophys. Res. Lett. 19 1992 2247-2250
2. Boehler R.High-pressure experiments and the phase diagram of lower mantle and core materials Rev. Geophys. 382 2000 221-245
3. Bunge H.-P.Richards M.A.Baumgardner J.R.Effect of depth-dependent viscosity on the planform of mantle convection Nature 379 1996 436-438
4. Christensen U.R.Thermal evolution models for the Earth J. Geophys. Res. 90 1985 2995-3008
5. Davies G.F.Thermal histories of convective Earth models and constraints on radiogenic heat production in the Earth J. Geophys. Res. 85 1980 2517-2530
6. DeLandro-Clarke W.Jarvis G.T.Numerical models of mantle convection with secular cooling Geophys. J. Int. 129 1997 183-193
7. Dubuffet F.Yuen D.A.Rabinowicz M.Effects of a realistic mantle thermal conductivity on the patterns of 3-D convection Earth Planet. Sci. Lett. 171 1999 401-409
8. 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. 271 2000 17-20
9. Dubuffet F.Yuen D.A.Yanagawa T.Feedback effects of variable thermal conductivity on the cold downwellings in high Rayleigh number convection Geophys. Res. Lett. 2718 2000 2981-2984
10. Dubuffet F.Yuen D.A.Rainey E.Controlling thermal chaos in the mantle by positive feedback from radiative thermal conductivity Nonlinear Process Geophys. 93-4 2002 311-323
11. 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. Inter. 77 1993 205-223
12. Hansen U.Yuen D.A.Extended-Boussinesq thermal-chemical convection with moving heat sources and variable viscosity Earth Planet. Sci. Lett. 176 2000 401-411
13. Hofmeister A.M.Mantle values of thermal conductivity and the geotherm from phonon lifetimes Science 283 1999 1699-1706
14. Hofmeister A.M.Thermal conductivity of spinels and olivines from vibrational spectroscopy at ambient conditions Am. Mineral. 86 2001 1188-1208
15. Kawada Y.Honda S.Parametrization of heat transport by non-Newtonian convection Geophys. J. Int. 137 1999 441-448
16. Kellogg L.H.Hager B.H.van der Hilst R.D.Compositional stratification in the deep mantle Science 283 1999 1881-1884
17. Leitch A.Yuen D.A.Internal heating and thermal constraints on the mantle Geophys. Res. Lett. 16 1989 1407-1410
18. Matyska C.Moser J.Yuen D.A.The potential influence of radiative heat transfer on the formation of megaplumes in the lower mantle Earth Planet. Sci. Lett. 125 1994 255-266
19. McKenzie D.P.Weiss N.O.Speculations on the thermal and tectonic hisotry of the Earth Geophys. J. R. Astr. Soc. 42 1975 131-174
20. Mitrovica, J.X., Forte, A.M., 2002. On the radial profile of mantle viscosity. In: Mitrovica, J.X., Vermeersen, B.L.A. (Eds.), Ice Sheets, Sea Level and the Dynamic Earth, Geodynamics Series 20. American Geophysical Union, Washington, DC, pp. 187-199.
21. Rainey E.S.G.van den Berg A.P.Yuen D.A.Secular cooling rates of the mantle: various influences Eos. Trans. AGU 8347 2002 F16
22. Schubert G.Cassen P.Young R.E.Subsolidus convective cooling histories of terrestrial planets Icarus 38 1979 192-211
23. Sharpe H.N.Peltier W.R.Parameterized mantle convection and the Earth's thermal history Geophys. Res. Lett. 5 1978 737-740
24. Solomatov V.S.Grain size-dependent viscosity convection and the thermal evolution of the Earth Earth Planet. Sci. Lett. 191 2001 203-212
25. Steinbach V.Hansen U.Ebel A.Compressible convection in the Earth's mantle: a comparison of different approaches Geophys. Res. Lett. 16 1989 633-635
26. Steinbach V.Yuen D.A.Zhao W.Instabilities from phase transitions and the timescales of mantle evolution Geophys. Res. Lett. 20 1993 1119-1122
27. Stevenson D.J.Spohn T.Schubert G.Magnetism 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. Tozer D.C.The present thermal state of the terrestrial planets Phys. Earth Planet. Inter. 6 1972 182-197
30. van den Berg A.P.van Keken P.E.Yuen D.A.The effects of a composite non-Newtonian and Newtonian rheology in mantle convection Geophys. J. Int. 115 1993 62-78
31. van den Berg A.P.Yuen D.A.Steinbach V.The effects of variable thermal conductivity on mantle heat-transfer Geophys. Res. Lett. 285 2001 875-878
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 the mantle Phys. Earth Planet. Inter. 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. van der Hilst R.D.Karason H.Compositional heterogeneity in the bottom 1000 kilometers of Earth's mantle: toward a hybrid convection model Science 283 1999 1885-1888
35. 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. Inter. 94 1996 241-267