Low-degree mantle convection with strongly temperature- and depth-dependent viscosity in a three-dimensional spherical shell

Journal of Geophysical Research: Solid Earth

Volumn 111, Issue 3, 2006, Pages

  Yoshida, Masaki ^a   Kageyama, Akira ^a  

^a JAPAN AGENCY FOR MARINE EARTH SCIENCE AND TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GEOID; MANTLE CONVECTION; MARS; RAYLEIGH NUMBER; SIMULATION; THERMAL CONVECTION; VENUS; VISCOSITY;

EID: 33646379103     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2005JB003905     Document Type: Article

References (40)

1. Breuer, D., D. A. Yuen, T. Spohn, and S. Zhang (1998), Three dimensional models of Martian convection with phase transitions, Geophys. Res. Lett., 25(3), 229-232.
2. Bunge, H.-P., and M. A. Richards (1996), The origin of long-wavelength structure in mantle convection: Effects of plate motions and viscosity stratification, Geophys. Res. Lett., 23(21), 2987-2990.
3. Bunge, H.-P., M. A. Richards, and J. R. Baumgardner (1996), Effect of depth-dependent viscosity on the planform of mantle convection, Nature, 379, 436-438.
4. Bunge, H.-P., M. A. Richards, C. Lithgow-Bertelloni, J. R. Baumgardner, S. Grand, and B. Romanowicz (1998), Time scales and heterogeneous structure in geodynamic Earth models, Science, 280, 91-95.
5. Davies, G. F., and M. A. Richards (1992), Mantle convection, J. Geol., 100, 151-206.
6. Hager, B. H., and R. W. Clayton (1989), Constraints on the structure of mantle convection using seismic observations, flow models and the geoid, in Mantle Convection, edited by W. R. Peltier, pp. 657-763, Gordon and Breach, New York.
7. Hansen, U., D. A. Yuen, S. E. Kroening, and T. B. Larsen (1993), Dynamical consequences of depth-dependent thermal expansivity and viscosity on mantle circulations and thermal structure, Phys. Earth. Planet. Inter., 77, 205-223.
8. Harder, H. (1998), Phase transitions and the three-dimensional planform of thermal convection in the martian Mantle, J. Geophys. Res., 103(E7), 16,775-16,797.
9. Harder, H. (2000), Mantle convection and the dynamic geoid of Mars, Geophys. Res. Lett., 27(3), 301-304.
10. Harder, H., and U. R. Christensen (1996), A one-plume model of martian mantle convection, Nature, 380, 507-509.
11. Kageyama, A., and T. Sato (2004), The "Yin-Yang grid": An overset grid in spherical geometry, Geochem. Geophys. Geosyst., 5(9), Q09005, doi:10.1029/2004GC000734.
12. Karato, S. (2003), The Dynamic Structure of the Deep Earth: An Interdisciplinary Approach, 241 pp., Princeton Univ. Press, Princeton, N. J.
13. Konopliv, A. S., W. B. Banerdt, and W. L. Sjogren (1999), Venus gravity: 180th degree and order model, Icarus, 139, 3-18.
14. McNamara, A. K., and S. Zhong (2005), Degree-one mantle convection: Dependence on internal heating and temperature-dependent rheology, Geophys. Res. Lett., 32, L01301, doi:10.1029/2004GL021082.
15. 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.
16. Rappaport., N. J., A. S. Konopliv, and A. B. Kucinskas (1999), An improved 360 degree and order model of Venus topography, Icarus, 139, 19-31.
17. Ratcliff, J. T., G. Schubert, and A. Zebib (1995), Three-dimensional variable viscosity convection of an infinite Prandtl number Boussinesq fluid in a spherical shell, Geophys. Res. Lett., 22(16), 2227-2230.
18. Ratcliff, J. T., G. Schubert, and A. Zebib (1996), Effects of temperature-dependent viscosity on thermal convection, in a spherical shell, Physica D, 97,242-252.
19. Ratcliff, J. T., P. J. Tackley, G. Schubert and A. Zebib (1997), Transitions in thermal convection with strongly variable viscosity, Phys. Earth Planet. Inter, 102, 201-212.
20. Reese, C. C., V. S. Solomatov, J. R. Baumgardner, and W.-S. Yang (1999), Stagnant lid convection in a spherical shell, Phys. Earth Planet. Inter, 116, 1-7.
21. Schubert, G., D. Bercovici, and G. A. Glatzmaier (1990), Mantle dynamics in Mars and Venus: Influence of an immobile lithosphere on three dimensional mantle convection, J. Geophys. Res., 95(B9), 14,105-14,129.
22. Schubert, G., V. S. Solomatov, P. J. Tackley, and D. L. Turcotte (1997), Mantle convection and the thermal evolution of Venus, in Venus II: Geology, Geophysics, Atmosphere, and Solar Wind Environment, edited by S. W. Bougher, D. M. Hunten, and R. J. Phillips, pp. 1245-1288, Univ. of Ariz. Press, Tucson.
23. Schubert, G., D. L. Turcotte, and P. Olson (2001), Mantle Convection in the Earth and Planets, 940 pp., Cambridge Univ. Press, New York.
24. Sleep, N. H. (1994), Martian plate tectonics, J. Geophys. Res., 99(25), 5639-5655.
25. Smith, D. E., Sjogren, G. L. Tyler, G. Balmino, F. G. Lemoines, and A. S. Konopliv (1999a), The gravity field of Mars: Results from Mars Global Surveyor, Science, 286, 94-97.
26. Smith, D. E., et al. (1999b), The global topography of Mars and implications for surface evolution, Science, 284, 1495-1503.
27. Solomatov, V. S. (1995). Scaling of temperature- and stress-dependent viscosity convection, Phys. Fluids, 7(2), 266-274.
28. Solomatov, V. S., and L.-N. Moresi (1996), Stagnant lid convection on Venus, J. Geophys. Res., 101(E2), 4737-4753.
29. Stemmer, K., H. Harder, and U. Hansen (2004), Thermal convection in a 3D spherical shell with strongly temperature and pressure dependent, Eos Trans. AGU, 85(47), Fall Meet. Suppl., Abstract T11E-1331.
30. Tackley, P. J. (1996a), Effects of strongly variable viscosity on three-dimensional compressible convection in planetary mantles, J. Geophys. Res., 101(B2), 3311-3332.
31. Tackley, P. J. (1996b), On the ability of phase transitions and viscosity layering to induce long wavelength heterogeneity in the mantle, Geophys. Res. Lett., 23(15), 1985-1988.
32. Trompert, R. A., and U. Hansen (1998), On the Rayleigh number dependence of convection with a strongly temperature-dependent viscosity, Phys. Fluids, 10, 351-360.
33. Turcotte, D. L., and G. Schubert (2002), Geodynamics, 2nd ed., 456 pp., Cambridge Univ. Press, New York.
34. Wessel, P., and W. H. F. Smith (1998), New, improved version of the Generic Mapping Tools released, Eos Trans. AGU, 79, 579.
35. Yoshida, M., and A. Kageyama (2004), Application of the Yin-Yang grid to a thermal convection of a Boussinesq fluid with infinite Prandtl number in a three-dimensional spherical shell, Geophys. Res. Lett., 31(12), L12609, doi:10.1029/2004GL019970.
36. Yoshida, M., Y. Iwase, and S. Honda (1999), Generation of plumes under a localized high viscosity lid on 3-D spherical shell convection, Geophys. Res. Lett., 26(7), 947-950.
37. Zhang, S., and D. A. Yuen (1995), The influences of lower mantle viscosity stratification on 3D spherical-shell mantle convection, Earth Planet. Sci. Lett., 132, 157-166.
38. Zhong, S., and M. T. Zuber (2001), Degree-1 mantle convection and Martian crustal dichotomy, Earth Planet. Sci. Lett., 189, 75-84.
39. Zhong, S., E. M. Parmentier, and M. T. Zuber (2000a), A dynamic origin for the global asymmetry of lunar mare basalts, Earth Planet. Sci. Lett., 177, 131-140.
40. Zhong, S., M. T. Zuber, L. Moresi, and M. Gurnis (2000b), Role of temperature-dependent viscosity and surface plates in spherical shell models of mantle convection, J. Geophys. Res., 105(B5), 11,063-11,082.