An analytic model of convection in a system with layered viscosity and plates

Geophysical Journal International

Volumn 188, Issue 1, 2012, Pages 61-78

  Crowley, John W ^a   O'Connell, Richard J ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

Dynamics of lithosphere and mantle; Heat generation and transport; Mechanics, theory, and modelling; Planetary tectonics

Indexed keywords

ANALYTIC MODELS; BOUNDARY LAYER MODELS; BOUNDARY-LAYER SOLUTION; CHANNELIZED FLOW; CONVECTIVE CELL; CONVECTIVE FLOW; ENERGY BALANCE EQUATIONS; HORIZONTAL FLOWS; LITHOSPHERIC; LOCAL DYNAMICS; LOW VISCOSITY; LOWER MANTLE; MATERIAL PROPERTY; MODEL YIELDS; MOVING PLATE; MULTIPLE SOLUTIONS; PLATE MOTIONS; PLATE THICKNESS; PLATE VELOCITY; PLATE-DRIVING FORCE; THERMAL CONVECTIONS; THREE SOLUTIONS;

BOUNDARY LAYERS; CELLS; DYNAMICS; ENERGY BALANCE; MATERIALS PROPERTIES; TECTONICS; VELOCITY; VISCOSITY;

HEAT CONVECTION;

ANALYTICAL METHOD; BOUNDARY LAYER; CHANNEL FLOW; GEODYNAMICS; HEAT FLOW; LITHOSPHERIC STRUCTURE; LOWER MANTLE; NUMERICAL MODEL; PLATE MOTION; PLATE TECTONICS; TECTONIC PLATE; THEORETICAL STUDY; THERMAL CONVECTION;

CALLUNA VULGARIS;

EID: 84155170676     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2011.05254.x     Document Type: Article

References (42)

1. Booker, J., 1976. Thermal-convection with strongly temperature-dependent viscosity, J. Fluid Mech., 76, 741-754.
2. Buffett, B.A., 2006. Plate force due to bending at subduction zones, J. geophys. Res., 111(B9), doi:.
3. Busse, F., Richards, M. & Lenardic, A., 2006. A simple model of high Prandtl and high Rayleigh number convection bounded by thin low-viscosity layers, Geophys. J. Int., 164, 160-167.
4. Capitanio, F.A., Morra, G. & Goes, S., 2009. Dynamics of plate bending at the trench and slab-plate coupling, Geochem. Geophys. Geosys., 10, doi:.
5. Conrad, C. & Hager, B., 1999. Effects of plate bending and fault strength at subduction zones on plate dynamics, J. geophys. Res., 104(B8), 17551-17571.
6. Conrad, C. & Hager, B., 2001. Mantle convection with strong subduction zones, Geophys. J. Int., 144, 271-288.
7. Conrad, C. & Lithgow-Bertelloni, C., 2002. How mantle slabs drive plate tectonics, Science, 298(5591), 207-209.
8. Conrad, C.P. & Hager, B.H., 1999. The thermal evolution of an Earth with strong subduction zones, Geophys. Res. Lett., 26, 3041-3044.
9. Davies, G., 1980. Thermal histories of convective Earth models and constraints on radiogenic heat production in the Earth, J. geophys. Res., 85(NB5), 2517-2530.
10. Davies, G.F., 2009. Effect of plate bending on the Urey ratio and the thermal evolution of the mantle, Earth planet. Sci. Lett., 287(3-4), 513-518.
11. Elder, J., 1976. The Bowels of the Earth, Oxford Univ Press, London.
12. Elsasser, W., 1969. Convection and stress propagation in the upper mantle, in The Application of Modern Physics to the Earth and Planetary Interiors, pp. 223-249, ed. Runcorn, S.K., Wiley Interscience, New York, NY.
13. Forsyth, D. & Uyeda, S., 1975. On the relative importance of the driving forces of plate motion, Geophys. J. Roy. Astr. Soc., 43, 163-200.
14. Golitsyn, G., 1979. Simple theoretical and experimental study of convection with some geophysical applications and analogies, J. Fluid Mech., 95, 567-608.
15. Grigné, C., Labrosse, S. & Tackley, P., 2005. Convective heat transfer as a function of wavelength: implications for the cooling of the Earth, J. geophys. Res., 110(B3), B03409, doi:.
16. Hager, B., 1978. Oceanic plate motions driven by lithospheric thickening and subducted slabs, Nature, 276, 156-159.
17. Hager, B. & O'Connell, R., 1981. A simple global model of plate dynamics and mantle convection, J. geophys. Res., 86, 4843-4867.
18. Hirth, G. & Kohlstedt, D., 1996. Water in the oceanic upper mantle: implications for rheology, melt extraction and the evolution of the lithosphere, Earth planet. Sci. Lett., 144(1-2), 93-108.
19. Höink, T. & Lenardic, A., 2010. Long wavelength convection, Poiseuille-Couette flow in the low-viscosity asthenosphere and the strength of plate margins, Geophys. J. Int., 180(1), 23-33.
20. Howard, L.N., 1966. Convection at high Rayleigh number, in Proceedings of the 11th Int. Cong. Appl. Mech. Munich, 1964, pp. 1109-1115, Springer, Berlin.
21. Korenaga, J., 2003. Energetics of mantle convection and the fate of fossil heat, Geophys. Res. Lett., 30(8), doi:.
22. Korenaga, J., 2008. Urey ratio and the structure and evolution of Earth's mantle, Rev. Geophys., 46(2), doi:.
23. Korenaga, J., 2009. How does small-scale convection manifest in surface heat flux?, Earth planet. Sci. Lett., 287(3-4), doi:.
24. Lenardic, A., Richards, M. & Busse, F., 2006. Depth-dependent rheology and the horizontal length scale of mantle convection, J. geophys. Res., 111(B7), doi:.
25. McKenzie, D. & Weiss, N., 1975. Speculations on the thermal and tectonic history of the Earth, Geophys. J. R. astr. Soc., 42, 131-174.
26. McKenzie, D., Roberts, J. & Weiss, N.O., 1974. Convection in the Earth's mantle: towards a numerical simulation, J. Fluid Mech., 62(3), 465-538.
27. McKenzie, D.P., 1967. Some remarks on heat flow and gravity anomalies, J. geophys. Res., 72(24), 6261-6273.
28. Mitrovica, J. & Forte, A., 2004. A new inference of mantle viscosity based upon joint inversion of convection and glacial isostatic adjustment data, Earth planet. Sci. Lett., 225, 177-189.
29. Moresi, L. & Gurnis, M., 1996. Constraints on the lateral strength of slabs from three-dimensional dynamic flow models, Earth planet. Sci. Lett., 138, 15-28.
30. Morris, S., 2008. Viscosity stratification and the horizontal scale of end-driven cellular flow, Phys. Fluids, 20, 063103.
31. O'Connell, R.J. & Hager, B., 1980. On the thermal state of the Earth, in Physics of the Earth's Interior, Vol. LXXVI of Proceedings of the "Enrico Fermi" International School of Physics, eds Dziewonski, A.M. & Boschi, E., North Holland, Amsterdam.
32. Schubert, G., Turcotte, D. & Olson, P., 2001. Mantle Convection in the Earth and Planets, Cambridge University Press, Cambridge.
33. Schubert, G., Stevenson, D. & Cassen, P., 1980. Whole planet cooling and the radiogenic heat-source contents of the Earth and moon, J. Fluid Mech., 85(NB5), 2531-2538.
34. Sharpe, H. & Peltier, W., 1979. A thermal history model for the Earth with parameterized convection, Geophys. J. R. astr. Soc., 59, 171-203.
35. Silver, P.D. & Behn, M.D., 2008. Intermittent plate tectonics?, Science, 319, 85-88, doi:.
36. Sleep, N., 2000. Evolution of the mode of convection within terrestrial planets, J. geophys. Res., 105(E7), 17563-17578.
37. Torrance, K. & Turcotte, D., 1971. Thermal convection with large viscosity variations, J. Fluid Mech., 47, 113-125.
38. Turcotte, D. & Oxburgh, E., 1967. Finite amplitude convective cells and continental drift, J. Fluid Mech., 28(1), 29-42.
39. Turcotte, D. & Schubert, G., 2002. Geodynamics, Cambridge University Press, Cambridge.
40. Valencia, D. & O'Connell, R.J., 2009. Convection scaling and subduction on Earth and super-Earths, Earth planet. Sci. Lett., 286(3-4), 492-502.
41. Wu, B., Conrad, C.P., Heuret, A., Lithgow-Bertelloni, C. & Lallemand, S., 2008. Reconciling strong slab pull and weak plate bending: the plate motion constraint on the strength of mantle slabs, Earth planet. Sci. Lett., 272(1-2), 412-421.
42. Zhong, S., 2006. Constraints on thermochemical convection of the mantle from plume heat flux, plume excess temperature, and upper mantle temperature, J. geophys. Res., 111(B4), doi:.