Convection under a lid of finite conductivity in wide aspect ratio models: Effect of continents on the wavelength of mantle flow

Journal of Geophysical Research: Solid Earth

Volumn 112, Issue 8, 2007, Pages

  Grigné, Cecile ^a   Labrosse, Stephane ^b   Tackley, P J ^a  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITÉ DE LYON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULATION; CONTINENTAL LITHOSPHERE; HEAT FLOW; HEAT TRANSFER; MANTLE CONVECTION; MANTLE PLUME; RAYLEIGH NUMBER; THERMAL CONDUCTIVITY; WAVELENGTH;

EID: 35348907367     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2006JB004297     Document Type: Article

References (56)

1. Bercovici, D. (1998), Generation of plate tectonics from lithosphere-mantle flow and void-volatile self-lubrication, Earth Planet. Sci. Lett., 154, 139-151.
2. Bercovici, D. (2003), The generation of plate tectonics from mantle convection, Earth Planet. Sci. Lett., 205, 107-121.
3. Busse, F., M. A. Richards, and A. Lenardic (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. Davaille, A., and C. Jaupart (1994), Onset of thermal convection in fluids with temperature-dependent viscosity: Application to the oceanic mantle, J. Geophys. Res., 99, 19,853-19,866.
5. Doin, M.-P., and L. Fleitout (2000), Flattening of the oceanic topography and geoid: Thermal versus dynamic origin, Geophys. J. Int., 143, 582-594.
6. Dubuffet, F., D. A. Yuen, and M. Rabinowicz (1999), Effects of a realistic mantle thermal conductivity on the pattern of 3-D convection, Earth Planet. Sci. Lett., 171, 401-409.
7. Dumoulin, C., M.-P. Doin, and L. Fleitout (2001), Numerical simulations of the cooling of an oceanic lithosphere above a convective mantle, Phys. Earth Planet. Intet., 125, 45-64.
8. Grigné, C., and S. Labrosse (2001), Effects of continents on Earth cooling: Thermal blanketing and depletion in radioactive elements, Geophys. Res. Lett., 28, 2707-2710.
9. Grigné, C., S. Labrosse, and P. J. Tackley (2005), Convective heat transfer as a function of wavelength: Implications for the cooling of the Earth, J. Geophys. Res., 110, B03409, doi:10.1029 /2004JB003376.
10. Grigné, C., S. Labrosse, and P. J. Tackley (2007), Convection under a lid of finite conductivity: Heat flux scaling and application to continents, J. Geophys. Res., 112, B08402, doi:10.1029/ 2005JB004192.
11. Guillou, L., and C. Jaupart (1995), On the effect of continents on mantle convection, J. Geophys. Res., 100, 24,217-24,238.
12. Gurnis, M. (1988), Large-scale mantle convection and the aggregation and dispersal of supercontinents, Nature, 332, 695-699.
13. Hager, B., R. Clayton, M. Richards, R. Corner, and A. Dziewonski (1985), Lower mantle heterogeneity, dynamic topography and the geoid, Nature, 313, 541-545.
14. Hansen, U., and A. Ebel (1984), Experiments with a numerical-model related to mantle convection - Boundary layer behavior of small-scale and large-scale flows, Phys. Earth Planet. Inter., 36, 374-390.
15. Hansen, U., D. Yuen, S. Kroening, and T. Larsen (1993), Dynamic consequences of depth-dependent thermal expansivity and viscosity on mantle circulations and thermal structure, Phys. Earth Planet. Inter., 77, 205-223.
16. Harder, H., and U. R. Christensen (1996), A one-plume model for martian mantle convection, Nature, 308, 507-509.
17. Honda, S., M. Yoshida, S. Ootorii, and Y. Iwase (2000), The timescales of plume generation caused by continental aggregation, Earth Planet. Sci. Lett., 176, 31-43.
18. Howard, L. N. (1964), Convection at high Rayleigh number, in Proceedings of the Eleventh International Congress of Applied Mechanics, edited by H. Gortler, pp. 1109-1115, Springler-Verlag, New York.
19. Ishii, M., and J. Tromp (1999), Normal-mode and free-air gravity constraints on lateral variations in velocity and density of Earth's mantle, Science, 285, 1231-1236.
20. Jaupart, C., and J. Mareschal (1999), The thermal structure and thickness of continental roots, Lithos, 48, 93-114.
21. Jaupart, C., S. Labrosse, and J.-C. Mareschal (2007), Temperatures, heat and energy in the mantle of the Earth, in Treatise of Geophysics, Mantle Dynamics, vol. 7, Elsevier, New York, in press.
22. King, S. D., and D. L. Anderson (1998), Edge-driven convection, Earth Planet. Sci. Lett, 160, 289-296.
23. King, S. D., and J. Ritsema (2000), African hot spot volcanism; small-scale convection in the upper mantle beneath cratons, Science, 290, 1137-1140.
24. Koschmieder, E. L. (1993), Bénard Cells and Taylor Vortices, Cambridge Univ. Press, Cambridge, U.K.
25. Krishnamurti, R., and L. N. Howard (1981), Large-scale flow generation in turbulent convection, Proc. Natl. Acad. Sci. U.S.A., 78(4), 1981-1985.
26. Lenardic, A., and L. Moresi (2001), Heat flow scaling for mantle convection below a conducting lid: Resolving seemingly inconsistent modeling results regarding continental heat flow, Geophys. Res. Lett., 28, 1311-1314.
27. Masters, G., G. Laske, H. Bolton, and A. M. Dziewonski (2000), The relative behavior of shear velocity, bulk sound speed, and compressional velocity in the mantle: Implications for chemical and thermal structure, in Earth's Deep Interior: Mineral Physics and Tomography From the Atomic to the Global Scale, Geophys. Monogr. Ser., vol. 117, edited by S. Karato et al., pp. 66-87, AGU, Washington, D. C.
28. McNamara, A., and S. Zhong (2005), Thermochemical structures beneath Africa and the Pacific Ocean, Nature, 437, 1136-1139.
29. Michaut, C., and C. Jaupart (2004), Nonequilibrium temperatures and cooling rates in thick continental lithosphere, Geophys. Res. Lett., 31, L24602, doi:10.1029/2004GL021092.
30. Montagner, J.-P. (1994), Can seismology tell us anything about convection in the mantle?, Rev. Geophys., 32, 115-138.
31. Moresi, L., and V. Solomatov (1998), Mantle convection with brittle lithosphere: thoughts on the global tectonic styles of the Earth and Venus, Geophys. J. Int., 133, 669-682.
32. Ni, S., E. Tan, M. Gurnis, and D. Helmberger (2002), Sharp sides to the African superplumes, Science, 296, 1850-1852.
33. Olson, P., and G. Corcos (1980), A boundary-layer model for mantle convection with surface plates, Geophys. J. R. Astron. Soc., 62, 195-219.
34. Parsons, B., and D. P. McKenzie (1978), Mantle convection and the thermal structure of the plates, J. Geophys. Res., 83, 4485-4496.
35. Phillips, B. R., and H.-P. Bunge (2005), Heterogeneity and time dependence in 3d spherical mantle convection models with continental drift, Earth Planet. Sci. Lett., 233, 121-135.
36. Roberts, J. H., and S. Zhong (2006), Degree-1 convection in the Martian mantle and the origin of the hemispheric dichotomy, J. Geophys. Res., 111, E06013, doi:10.1029/2005JE002668.
37. Rudnick, R., W. McDonough, and R. O'Connell (1998), Thermal structure, thickness and composition of continental lithosphere, Chem. Geol., 145, 395-411.
38. Schubert, G., G. Masters, P. Olson, and P. J. Tackley (2004), Superplumes or plume clusters, Phys. Earth Planet. Inter., 146, 147-162.
39. Sotin, C., and S. Labrosse (1999), Three-dimensionnal thermal convection of an isoviscous, infinite-Prandtl-number fluid heated from within and from below: Applications to heat transfer in planetary mantles, Phys. Earth Planet. Inter., 112, 171-190.
40. Sparrow, E., R. Goldstein, and V. Jonsson (1964), Thermal instability in a horizontal layer: Effect of boundary conditions and non-linear temperature profile, J. Fluid. Mech., 18, 513-528.
41. Su, W.-J., and A. Dziewonski (1991), Predominance of long-wavelength heterogeneity in the mantle, Nature, 352, 121-126.
42. Tackley, P. J. (1993), Effects of strongly temperature-dependent viscosity on time-dependent, three-dimensional models of mantle convection, Geophys. Res. Lett., 20, 2187-2190.
43. Tackley, P. J. (1996), Effects of strongly variable viscosity on three-dimensional compressible convection in planetary mantles, J. Geophys. Res., 101, 3311-3332.
44. Tackley, P. J. (2000a), Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations, Geochem. Geophys. Geosyst., 1(8), doi:10.1029/2000GC000036.
45. Tackley, P. J. (2000b), Mantle convection and plate tectonics; towards an integrated physical and chemical theory, Science, 288, 2002-2007.
46. Trampert, J., F. Deschamps, J. Resovsky, and D. Yuen (2004), Probalistic tomography maps chemical heterogeneities throughout the lower mantle, Science, 306, 853-856.
47. Turcotte, D., and G. Schubert (1982), Geodynamics: Application of Continuum Physics to Geological Problems, John Wiley, New York.
48. Turcotte, D., and G. Schubert (2002), Geodynamics, Cambridge Univ. Press, New York.
49. van Hunen, J., J. Huang, and S. Zhong (2003), The effect of shearing on the onset and vigor of small-scale convection in a Newtonian rheology, Geophys. Res. Lett., 30(19), 1991, doi:10.1029/2003GL018101.
50. Wessel, P., and W. H. F. Smith (1998), New, improved version of Generic Mapping Tools released, Eos Trans. AGU, 79(47), 579.
51. Woodward, R. L., and G. Masters (1991), Lower-mantle structure from ScS-S differential travel times, Nature, 352, 231-233.
52. Yoshida, M., Y. Iwase, and S. Honda (1999), Generation of plumes under a localized high viscosity lid in 3D spherical shell convection, Geophys. Res. Lett., 26, 947-950.
53. Zhang, Y.-S., and T. Tanimoto (1991), Global Love wave phase velocity variation and its significance to plate tectonics, Phys. Earth Planet. Inter., 66, 160-202.
54. Zhong, S. (2005), Dynamics of thermal plumes in three-dimensional isoviscous thermal convection, Geophys. J. Int., 162, 289-300.
55. Zhong, S., and M. Gurnis (1993), Dynamic feedback between a continent like raft and thermal convection, J. Geophys. Res., 98, 12,219-12,232.
56. Zhong, S., and M. T. Zuber (2001), Degree-1 mantle convection and the crustal dichotomy on Mars, Earth Planet. Sei. Lett., 189, 75-84.