Convection under a lid of finite conductivity: Heat flux scaling and application to continents

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

BOUNDARY CONDITION; CONTINENTAL LITHOSPHERE; HEAT FLUX; HEAT TRANSFER; LITHOSPHERIC STRUCTURE; MANTLE CONVECTION; RAYLEIGH NUMBER; TEMPERATURE EFFECT; THERMAL CONDUCTIVITY;

EID: 35348883342     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2005JB004192     Document Type: Article

References (41)

1. Bickle, M. (1978), Heat loss from the Earth: A constraint on the Archaean tectonics from the relation between geothermal gradients and the rate of plate production, Earth Planet. Sci. Lett., 40, 301-315.
2. Bobrov, A., W. Jacoby, and V. Trubitsyn (1999), Effects of Rayleigh number, length and thickness of continent on time of mantle flow reversal, J. Geodyn., 27, 133-145.
3. Boyd, F., J. Gurney, and S. Richardson (1985), Evidence for a 150-200 km thick Archaean lithosphere from diamond inclusion thermobarometry, Nature, 315, 387-389.
4. Breuer, D., and T. Spohn (1993), Cooling of the Earth, Urey ratios, and the problem of potassium in the core, Geophys. Res. Lett., 20, 1655-1658.
5. Chapman, C., and M. Proctor (1980), Nonlinear Rayleigh-Bénard convection between poorly conducting boundaries, J. Fluid Mech., 101, 759-782.
6. Chapman, C., S. Childress, and M. Proctor (1980), Long wavelength convection between non-conducting boundaries, Earth Planet. Sci. Lett., 51, 362-369.
7. Christensen, U. R. (1985), Thermal evolution models for the Earth, J. Geophys. Res., 90, 2995-3007.
8. Collerson, K. D., and B. S. Kamber (1999), Evolution of the continents and the atmosphere inferred from Th-U-Nb systematics of the depleted mantle, Science, 283, 1519-1522.
9. Conrad, C., and B. Hager (1999), The thermal evolution of the Earth with strong subduction zones, Geophys. Res. Lett., 26, 3041-3044.
10. England, P., and M. Bickle (1984), Continental thermal and tectonic regimes during the Archaean, J. Geol., 92, 353-367.
11. 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.
12. 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.
13. Guillou, L., and C. Jaupart (1995), On the effect of continents on mantle convection, J. Geophys. Res., 100, 24,217-24,238.
14. Guillou, L., J. Mareschal, C. Jaupart, C. Gariepy, G. Bienfait, and R. Lapointe (1994), Heat flow, gravity and structure of the Abitibi belt, Superior Province, Canada: Implications for mantle heat flow, Earth Planet. Sci. Lett, 122, 103-123.
15. Gurnis, M. (1988), Large-scale mantle convection and the aggregation and dispersal of supercontinents, Nature, 332, 695-699.
16. Gurnis, M., and S. Zhong (1991), Generation of long wavelength heterogeneity in the mantle by the dynamic interaction between plates and convection, Geophys. Res. Lett., 18, 581-584.
17. Hewitt, J., D. McKenzie, and N. Weiss (1980), Large aspect ratio cells in two-dimensional thermal convection, Earth Planet. Sci. Lett., 51, 370-380.
18. Honda, S., M. Yoshida, S. Ootorii, and Y. Iwase (2000), The timescales of plume generation caused by continental aggregation, Earth Planet. Sci. Lett., 176, 31-41
19. Hurle, D., E. Jakeman, and E. Pike (1967), On the solution of the Bénard problem with boundaries of finite conductivity, Proc. R. Soc. London, Ser. A, 296, 469-475.
20. Ishiwatari, M., S.-I. Takehiro, and Y.-Y. Hayashi (1994), The effects of thermal conditions on the cell sizes of two-dimensional convection, J. Fluid Mech., 281, 33-50.
21. Jaupart, C., and J. Mareschal (1999), The thermal structure and thickness of continental roots, Lithos, 48, 93-114.
22. Jaupart, C., J. Mareschal, L. Guillou-Frottier, and A. Davaille (1998), Heat flow and thickness of the lithosphere in the Canadian Shield, J. Geophys. Res., 103, 15,269- 15,286.
23. Korenaga, J. (2003), Energetics of mantle convection and the fate of fossil heat, Geophys. Res. Lett., 30(8), 1437, doi:10.1029/ 2003GL016982.
24. Lenardic, A. (1998), On the partitioning of mantle heat loss below oceans and continents over time and its relationship to the Archean paradox, Geophys. J. Int., 134, 706-720.
25. Lenardic, A., and L. Moresi (2003), Thermal convection below a conducting lid of variable extent: Heat flow scalings and two-dimensional, infinite Prandtl number numerical simulations, Phys. Fluids, 15, 455-466.
26. Lenardic, A., L. Moresi, A. M. Jellinek, and M. Manga (2005), Continental insulation, mantle cooling, and the surface area of oceans and continents, Earth Planet. Sci. Lett., 234, 317-333, doi:10.1016/j.epsl.2005.01.038.
27. Lowman, J. P., and C. W. Gable (1999), Thermal evolution of the mantle following continental aggregation in 3D convection models, Geophys. Res. Lett., 26, 2649-2652.
28. Lowman, J. P., and G. T. Jarvis (1993), Mantle convection flow reversals due to continental collisions, Geophys. Res. Lett., 20, 2087-2090.
29. Lucazeau, F., F. Brigaud, and J. L. Bouroullec (2004), High-resolution heat flow density in the lower Congo basin, Geochem. Geophys. Geosyst., 5, Q03001, doi:10.1029/2003GC000644.
30. Michaut, C., and C. Jaupart (2004), Nonequilibrium temperatures and cooling rates in thick continental lithosphere, Geophys. Res. Lett., 31, L24602, doi:10.1029/2004GL021092.
31. Pinet, C., C. Jaupart, J. Mareschal, C. Gariepy, G. Bienfait, and R. Lapointe (1991), Heat flow and structure of the lithosphere in the Eastern Canadian Shield, J. Geophys. Res., 96, 19,941-19,963.
32. Rudnick, R., W. McDonough, and R. O'Connell (1998), Thermal structure, thickness and composition of continental lithosphere, Chem. Geol., 145, 395-411.
33. Sclater, J., C. Jaupart, and D. Galson (1980), The heat flow through oceanic and continental crust and the heat loss of the Earth, Rev. Geophys., 18, 269-311.
34. 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.
35. Tackley, P. J. (1993), Effects of strongly temperature-dependent viscosity on time-dependent, 3-dimensional models of mantle convection, Geophys. Res. Lett., 20, 2187-2190.
36. Trubitsyn, V., and V. Rykov (1995), A 3-D numerical model of the Wilson cycle, J. Geodyn., 20, 63-75.
37. Turcotte, D., and E. Oxburgh (1967), Finite amplitude convection cells and continental drift, J. Fluid Mech., 28, 29-42.
38. Turcotte, D., and G. Schubert (1982), Geodynamics: Application of Continuum Physics to Geological Problems, John Wiley, New York.
39. Wessel, P., and W. H. F. Smith (1998), New, improved version of Generic Mapping Tools released, Eos Trans. AGU, 79(47), 579.
40. 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.
41. Zhong, S., and M. Gurnis (1994), Role of plates and temperature-dependent viscosity in phase change dynamics, J. Geophys. Res., 99, 15,903-15,917.