Viscosity stratification and the horizontal scale of end-driven cellular flow

Physics of Fluids

Volumn 20, Issue 6, 2008, Pages

  Morris, S J S ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

SHEAR STRESS;

CELLULAR FLOW; CREEPING FLOWS; EXACT SOLUTION; ISOTHERMAL VISCOSITY; LUBRICATION ANALYSIS; UNIFORM SHEAR; UNIFORM VISCOSITY; VISCOSITY STRATIFICATION;

VISCOSITY;

EID: 47149086190     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2926728     Document Type: Article

References (29)

1. S. D. King, Mineral Physics and Crystallography: A Handbook of Physical Constants, edited by T. J. Ahrens (American Geophysical Union, Washington, D.C., 1995).
2. H. Takeuchi and S. Sakata, "Convection in a mantle with variable viscosity," J. Geophys. Res. 75, 921, DOI: 10.1029/JB075i005p00921 (1970).
3. G. F. Davies, "Whole mantle convection and plate tectonics," Geophys. J. R. Astron. Soc. 49, 459 (1977).
4. U. Hansen, D. A. Yuen, S. A. Kroening, and T. B. Larsen, "Dynamic consequences of depth-dependent thermal expansivity and viscosity on mantle circulation and thermal structure," Phys. Earth Planet. Inter. 77, 205 (1993).
5. P. J. Tackley, "On the ability of phase transitions and viscosity layering to induce long wavelength heterogeneity in the mantle," Geophys. Res. Lett. 23, 1985, DOI: 10.1029/96GL01980 (1996).
6. H. P. Bunge, M. A. Richards, and J. R. Baumgardner, "A sensitivity study of three dimensional spherical convection at 108 Rayleigh number: Effects of depth-dependent viscosity, heating mode and an endothermic phase change," J. Geophys. Res. 102, 11991, DOI: 10.1029/96JB03806 (1997).
7. J. P. Lowman, S. D. King, and C. W. Gable, "The influence of tectonic plates on mantle convection patterns, temperature and heat flow," Geophys. J. Int. 146, 619 (2001).
8. F. H. Busse, M. A. Richards, and A. Lenardic, "A simple model of high Prandtl and high Rayleigh number convection bounded by thin lowviscosity layers," Geophys. J. Int. 164, 160 (2006).
9. A. Lenardic, M. A. Richards, and F. H. Busse, "Depth-dependent rheology and the horizontal length scale of mantle convection," J. Geophys. Res. 111, B07404, DOI:10.1029/2005JB003639 (2006).
10. U. R. Christensen, "Time-dependent convection in elongated Rayleigh-Benard cells," [i#Geophys. Res. Lett.#1i] 14, 220, DOI: 10.1029/GL014i003p00220 (1987).
11. U. Hansen and A. Ebel, "Time-dependent thermal convection: A possible explanation for a multiscale flow in the Earth's mantle," Geophys. J. 94, 181 (1988); see Figs. 4f and 5f.
12. G. F. Davies, "Ocean bathymetry and mantle convection. I. Largescale flow and hot spots," J. Geophys. Res. 93, 10467, DOI: 10.1029/JB093iB09p10467 (1988).
13. N. H. Sleep, "Hot spots and mantle plumes: Some phenomenology," J. Geophys. Res. 95, 6715, DOI: 10.1029/ JB095iB05p06715 (1990).
14. J. M. Hewitt, D. P. McKenzie, and N. O. Weiss, "Dissipative heating in convective flows," J. Fluid Mech. 68, 721 (1975); see Eq. (34).
15. C. Lithgow-Bertelloni and M. A. Richards, "The dynamics of Cenozoic and Mesozoic plate motions," Rev. Geophys. 36, 27, DOI: 10.1029/ 97RG02282 (1998); see abstract and p. 73.
16. B. H. Hager and R. J. O'Connell, "A simple global model of plate dynamics and mantle convection," J. Geophys. Res. 86, 4843, DOI: 10.1029/JB086iB06p04843 (1981).
17. B. H. Hager and M. A. Richards, "Long wavelength variation in Earth's geoid: Physical models and dynamical implications," Philos. Trans. R. Soc. London, Ser. A 328, 309 (1989).
18. C. Gaboret, A. M. Forte, and J.-P. Montagner, "The unique dynamics of the Pacific hemisphere mantle and its signature on seismic anisotropy," Earth Planet. Sci. Lett. 208, 219 (2003).
19. S. J. S. Morris, "Viscosity stratification and the aspect ratio of convection rolls," Bull. Am. Phys. Soc. 50, 143 (2005).
20. B. Travis and P. Olson, "Convection with internal heat sources and thermal turbulence in the Earths mantle," Geophys. J. Int. 118, 1 (1994); see Figs. 13 and 14.
21. A. M. Forte, W. R. Peltier, and A. M. Dziewonski, "Inferences of mantle viscosity from tectonic plate velocities," Geophys. Res. Lett. 18, 1147, DOI: 10.1029/91GL01144 (1991); see Table 2.
22. Y. Ricard, C. Vigny, and C. Froideveaux, "Mantle heterogeneities, geoid and plate motion: A Monte Carlo inversion," J. Geophys. Res. 94, 13739, DOI: 10.1029/JB094iB10p13739 (1989); see Fig. 12.
23. O. Èadek and L. Fleitout, "Effect of lateral viscosity variations in the top 300 km on the geoid and dynamic topography," [i#Geophys. J. Int.#1i] 152, 566 (2003); see Table 1.
24. F. F. Pollitz, R. Burgmann, and B. Romanowicz, "Viscosity of oceanic asthenosphere inferred from remote triggering of earthquakes," Science 280, 1245 (1998); see note 13.
25. G. F. Davies, "Role of the lithosphere in mantle convection," J. Geophys. Res. 93, 10451, DOI: 10.1029/JB093iB09p10451 (1988).
26. D. Forsyth and S. Uyeda, "On the relative importance of the driving forces of plate motion," Geophys. J. R. Astron. Soc. 43, 163 (1975); see Fig. 5 and p. 177.
27. S. Morris, "The effects of a strongly temperature-dependent viscosity on slow flow past a hot sphere," J. Fluid Mech. 124, 1 (1982).
28. A. Ansari and S. Morris, "The effects of a strongly-temperature dependent viscosity on Stokes's drag law: Experiments and theory," J. Fluid Mech. 159, 459 (1985).
29. S. J. S. Morris, "Dynamic significance of long-wave density gradients due to heat generation within the mantle," Geophys. Res. Lett. 34, L15307, DOI: 10.1029/2007GL030059 (2007).