Development of finite strain in the convecting lower mantle and its implications for seismic anisotropy

Journal of Geophysical Research: Solid Earth

Volumn 108, Issue 5, 2003, Pages

  McNamara, Allen K ^a   van Keken, Peter E ^a   Karato, Shun Ichiro ^b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b YALE UNIVERSITY   (United States)

Author keywords

Anisotropy; Dislocation; Mantle convection; Seismic; Strain

Indexed keywords

CREEP; MANTLE CONVECTION; MANTLE PROCESS; RHEOLOGY; SEISMIC ANISOTROPY; STRAIN ANALYSIS; SUBDUCTION; UPWELLING;

EID: 0041382374     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: None     Document Type: Article

References (41)

1. Blackman, D. K., J. M. Kendall, P. R. Dawson, H.-R. Wenk, D. Boyce, and P. Morgan, Teleseismic imaging of subaxial flow at mid-ocean ridges: Traveltime effects of anisotropic mineral texture in the mantle, Geophys. J. Int., 127, 415 426, 1996.
2. Breger, L., and B. Romanowicz. Three-dimensional structure at the base of the mantle beneath the central Pacific, Science, 282, 718-720, 1998.
3. Cuvelier, C., A. Segal, and A. A. Steenhoven, Finite Element Methods and Navier-Stokes Equations, D. Reidel, Norwell, Mass., 1986.
4. Davies, G., Topography: A robust constraint on mantle fluxes, Chem. Geol., 145, 479-489, 1998.
5. Frost, H. J., and M. F. Ashby, Deformation Mechanism Maps, 167 pp., Pergamon, New York, 1982.
6. Garnero, E. J., and T. Lay, Lateral variations in lower most mantle shear wave anisotropy beneath the North Pacific and Alaska, J. Geophys. Res., 102, 8121 - 8135, 1997.
7. Ita, J., and S. D. King, Sensitivity of convection with an endothermic phase change to the form of governing equations, initial conditions, boundary conditions, and equations of state, J. Geophys. Res., 99, 15,919 15,938, 1994.
8. Jarvis, G. T., and D. P. McKenzie, Convection in a compressible fluid with infinite Prandtl number,J. Fluid Mech., 96, 515 583, 1980.
9. Karato, S., Some remarks on the origin of seismic anisotropy in the D″ layer, Earth Planets Space, 50, 1019 1028, 1998a.
10. Karato, S., Seismic anisotropy in the deep mantle, boundary layers and the geometry of mantle convection, Pure Appl. Geophys., 151, 565 587, 1998b.
11. Karato, S., and P. Wu, Rheology of the upper mantle: A synthesis, Science. 260, 771 778, 1993.
12. Karato, S., S. Zhang, and H. Wenk, Superplasticity in the Earth's lower mantle: Evidence from seismic anisotropy and rock physics, Science, 270, 458-461, 1995.
13. Karato, S., M. R. Riedel, and D. A. Yuen, Rheological structure and deformation of subducted slabs in the mantle transition zone: Implications for mantle circulation and deep earthquakes, Phys. Earth Planet Inter., 127, 83-108, 2001.
14. Karki, B. B., L. Stixrude, S. J. Clark, M. C. Warren, G. J. Ackland, and J. Crain, Structure and elasticity of MgO at high pressure, Am. Mineral., 82, 51 - 60, 1997.
15. Kendall, J. M., Seismic anisotropy in the boundary layers of the mantle, 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. 133-159, AGU, Washington D. C., 2000.
16. Kendall, J. M., and P. G. Silver, Constraints from seismic anisotropy on the nature of the lowermost mantle, Nature, 381, 409-412, 1996.
17. Lay, T., Q. Williams, and E. J. Garnero, The core-mantle boundary layer and deep earth dynamics, Nature. 392, 461 468, 1998a.
18. Lay, T., Q. Williams, E. J. Garnero, L. Kellogg, and M. E. Wysession, Seismic wave anisotropy in the D″ region and its implications, in The Core-Mantle Boundary Region, Geodyn. Ser., vol. 28, edited by M. Gurnis et al., pp. 299-318, AGU, Washington, D. C.. 1998b.
19. Leitch, A. M., D. A. Yuen, and G. Sewell, Mantle convection with internal heating and pressure-dependent thermal expansivity, Earth Planet. Sci. Lett., 102, 213 232, 1991.
20. Lithgow-Bertelloni, C., and M. A. Richards, The dynamics of Cenozoic and Mesozoic plate motions, Rev. Geophys., 36, 27 - 28, 1998.
21. McKenzie, D., Finite deformation during fluid flow, Geophys. J. R. Astron. Soc., 58, 689-715, 1979.
22. McNamara, A. K., S. Karato, and P. E. van Keken, Localization of dislocation creep in the lower mantle: Implications for the origin of seismic anisotropy, Earth Planet. Sci. Lett., 191, 85 99, 2001.
23. McNamara, A. K., P. E. van Keken, and S. Karato, Development of anisotropic structure by solid-state convection in the Earth's lower mantle, Nature, 416, 310-314, 2002.
24. Mitrovica, J. X., and A. M. Forte, Radial profile of mantle viscosity: Results from the joint inversion of convection and postglacial rebound observables, J. Geophys. Res., 102, 2751 2769, 1997.
25. Ramberg, H., Particle paths, displacement and progressive strain applicable to rocks, Tectonophysics, 28, 1 - 37, 1975.
26. Ramsay, J. G., Folding and Fracturing of Rocks, McGraw-Hill, New York, 1967.
27. Ritsema, J., Evidence for shear velocity anisotropy in the lowermost mantle beneath the Indian Ocean, Geophys. Res. Lett., 27, 1041 1044, 2000.
28. Ritsema, J., T. Lay, E. J. Garnero, and H. Benz. Seismic anisotropy in the lowermost mantle beneath the Pacific, Geophys. Res. Lett., 25, 1229 1232, 1998.
29. Russell, S. A., T. Lay, and E. J. Garnero, Seismic evidence for small-scale dynamics in the lowermost mantle at the root of the Hawaiian hotspot, Nature, 396, 255 258, 1998.
30. Russell, S., T. Lay, and E. J. Garnero, Small-scale lateral shear velocity and anisotropy heterogeneity near the core-mantle boundary beneath the central Pacific imaged using broadband ScS waves, J Geophys Res.., 104, 13,183 13,199, 1999.
31. Spencer, A. J. M., Continuum Mechanics, 183 pp., Addison-Wesley-Longman, Reading, Mass., 1980.
32. 2 at high pressure, in The Core-Mantle Boundary Region, Geodyn. Ser., vol. 28, M. Gurnis et al., pp. 83 96, AGU, Washington D. C., 1998.
33. Tackley, P. J., Self-consistent generation of tectonic plates in time-dependent, three-dimensional mantle convection simulations, 2, Strain weakening and asthenosphere, Geochem. Geophys. Geosyst, 1, 2000GC000043 [14,420 words] 2000.
34. Tan, E., M. Gurnis, and L. Han, Slabs in the lower mantle and their modulation of plume formation, Geochem. Geophys, Geosyst., 3(11), 1067, doi:10.1029,2001GC000238, 2002.
35. Tommasi, A., D. Mainprice, G. Canova, and Y. Chastel, Viscoplastic self-consistent and equilibrium-based modeling of olivine lattice preferred orientations: Implications for the upper mantle seismic anisotropy, J Geophys. Res., 105, 7893 7908, 2000.
36. van den Berg, A. P., P. E. van Keken, and D. A. Yuen, The effects of a composite non-Newtonian and Newtonian rheology on mantle convection, Geophys. J. Int., 115, 62 78, 1993.
37. van Keken, P. E., Cylindrical scaling for dynamical cooling models of the Earth, Phys. Earth Planet. Inter., 124, 119 130,2000.
38. Vinnik, L., L. Breger, and B. Romanowicz, Anisotropic structures at the base of the Earth's mantle, Nature, 393, 564 567, 1998.
39. Wenk, H. R., and J. M. Christie, Comments on the interpretation of deformation textures in rocks, J. Struct. Geol., 13, 1091 1110, 1991.
40. Yamazaki, D., and S. Karato, Some mineral physics constraints on the rheology and geothermal structure of Earth's lower mantle. Am. Mineral., 86, 385 391, 2001.
41. Yamazaki, D., and S. Karato, Fabric development in (Mg, Fe)O during large strain, shear deformation: Implications for seismic anisotropy in Earth's lower mantle, Phys. Earth Planet. Inter., 131, 251 267, 2002.