Mantle lateral variations and elastogravitational deformations - I. Numerical modelling

Geophysical Journal International

Volumn 167, Issue 3, 2006, Pages 1060-1076

  Metivier L ^a   Greff Lefftz, M ^a   Diament, M ^a  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

Elastogravitational theory; Finite element methods; Lateral heterogeneity; Loadings tides

Indexed keywords

DEFORMATION; EQUILIBRIUM; FINITE ELEMENT METHOD; GRAVITY; MANTLE; NUMERICAL MODEL;

EID: 33845347832     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.03159.x     Document Type: Article

References (39)

1. Capdeville, Y., Chaljub, E., Vilotte, J.-P., & Montagnier, J.-P., 2003. Coupling the spectral element method with a modal solution for elastic wave propagation in global earth models, Geophys. J. Int., 152, 34-67.
2. Chaljub, E. & Valette, B., 2004. Spectral element modeling of three dimensional wave propagation in a self-gravitating Earth with an arbitrarily stratified outer core, Geophys. J. Int., 158, 131-141.
3. Chaljub, E., Capdeville, Y. & Vilotte, J.-P., 2003. Solving elastodynamics in a fluid-solid heterogeneous sphere: A parallel spectral element approximation on non-conforming grids, J. Comput. Phys., 187, 457-491.
4. Courtillot, V., Davaille, A., Besse, J. & Stock, J., 2003. Three distinct types of hotspots in earth's mantle, Earth planet. Sci. Lett., 205, 295-308.
5. Dahlen, F.A., 1972. Elastic dislocation theory for a self-gravitating elastic configuration with an initial static stress field, Geophys. J. R. astr. Soc., 28, 357-383.
6. Dahlen, F.A. & Tromp, J., 1998. Theoretical Global Seismology, Princeton University Press, New Jersey.
7. Davaille, A., 1999. Simultaneous generation of hotspots and superswells by convection in a heterogeneous planetary mantle, Nature, 402, 756-760.
8. Defraigne, P., 1997. Geophysical model of dynamical flattening of the Earth in agreement with the precession constant, Geophys. J. Int., 130, 47-56.
9. Defraigne, P., Dehant, V. & Wahr, J., 1996. Internal loading of an homogeneous compressible earth with phase boundaries, Geophys. J. Int., 125, 173-192.
10. Dehant, V., 1987. Tidal parameters for an inelastic Earth, Phys. Earth Planet. Inter., 49, 97-116.
11. Dehant, V., Defraigne, P. & Wahr, J.M., 1999. Tides for a convective Earth, J. geophys. Res., 104, 1035-1058.
12. Dziewonski, A.M. & Anderson, D.L., 1981. Preliminary Referential Earth Model, Phys. Earth planet. Inter., 25, 297-356.
13. Farrell, W.E., 1972. Deformation of the Earth by surface loads, Rev. of Geophys. and Space Phys., 10, 761-797.
14. Forte, A.M. & Mitrovica, J.X., 2001. Deep-mantle high-viscosity flow and thermochemical structure inferred from seismic and geodynamic data, Nature, 410, 1049-1056.
15. Greff-Lefftz, M. & Legros, H., 1997. Some remarks about the degree one deformations of the Earth, Geophys. J. Int., 131, 699-723.
16. Greff-Lefftz, M., Métivier, L. & Legros, H., 2005. Analytical solutions of Love numbers for an hydrostatic ellipsoidal incompressible homogeneous Earth, using Lagrangian formulation, Celest. Mech. and Dyn. Astron., 93, 113-146.
17. Gu, Y.J., Dziewonski, A.M., Su, W.J. & Ekström, G., 2001. Models of the mantle shear velocity and discontinuities in the pattern of lateral heterogeneities, J. geophys. Res., 106, 11169-11199.
18. Komatitsch, D. & Tromp, J., 2002a. Spectral-element simulations of global seismic wave propagation - I. Validation, Geophys. J. Int., 149, 390-412.
19. Komatitsch, D. & Tromp, J., 2002b. Spectral-element simulations of global seismic wave propagation - II. Three-dimensional models, oceans, rotation and self-gravitation, Geophys. J. Int., 150, 303-318.
20. Latytchev, K., Mitrovica, J.X., Tamisiea, M.E., Tromp, J., Christara, C.C. & Moucha, R., 2005a. GIA-induced secular variations in the Earth's long wavelength gravity field: Influence of 3D-viscosity variations, Earth planet. Sci. Lett., 240, 322-327.
21. Latytchev, K., Mitrovica, J.X., Tromp, J., Tamisiea, M.E., Komatitsch, D. & Christara, C.C., 2005b. Glacial isostatic adjustment on 3-D Earth models: A finite volume formulation, Geophys. J. Int., 161, 421-444.
22. Lognonné, P. & Romanowicz, B., 1990. Modelling of coupled normal modes of the Earth: The spectral method, Geophys. J. Int., 102, 365-395.
23. Love, A.E.H., 1911. Some problems of geodynamics, Dover Publications, New York.
24. Métivier, L., Greff-Lefftz, M. & Diament, M., 2005. A new approach to compute accurate gravity time variations for a realistic Earth model with lateral heterogeneities, Geophys. J. Int., 162, 570-574.
25. Métivier, L., Greff-Lefftz, M. & Diament, M., 2006. Mantle lateral variations and elastogravitational deformations - II. Possible effects of a superplume on body tides, Geophys. J. Int., submitted.
26. Molodenskiy, S.M., 1977. The influence of horizontal inhomogeneities in the mantle on the amplitude of the tidal oscillations, Izvestiya, Earth Physics, 13, 77-80.
27. Munk, W.H. & MacDonald, G.J.F., 1960. The rotation of the Earth, Cambridge University Press, London, 323 pp.
28. Paige, C.C. & Saunders, M.A., 1975. Solution of sparse indefinite systems of linear equations, SIAM. J. Numer. Anal., 12, 617-629.
29. Ronchi, C., Iacono, R. & Paolucci, P.S., 1996. The "Cubed Sphere": A new method for the solution of partial differential equations in spherical geometry, J. Comput. Phys., 124, 93-114.
30. Smith, M.L., 1974. The scalar equations of infinitesimal elastic-gravitational motion for a rotating, slightly elliptical Earth, Geophys. J. R. astr. Soc., 37, 491-526.
31. Takeuchi, H., 1950. On the Earth tides of the compressible Earth of variable density and elasticity, Trans. Amer. Geophys. Union, 31, No. 5, 651-689.
32. Thomson, S.W., 1862. Dynamical Problems regarding Elastic Spheroidal Shells and Spheroids of Incompressible Liquid, Phil. Trans. R. Soc. Lond., 153, 583-608.
33. Valette, B., 1986. About the influence of pre-stress upon adiabatic perturbations of the Earth, Geophys. J. R. astr. Soc., 85, 179-208.
34. Wahr, J., Molenaar, M. & Bryan, F., 1998. Time variability of Earth's gravity field: Hydrological and oceanic effects and their possible detection using GRACE, J. geophys. Res., 103, 30205-30229.
35. Wahr, J.M., 1981. Body tides on an elliptical, rotating, elastic and oceanless Earth, Geophys. J. R. astr. Soc., 64, 677-703.
36. Wahr, J.M. & Bergen, Z., 1986. The effects of mantle anelasticity on nutations, Earth tides, and tidal variations in rotation rate, Geophys. J. R. astr. Soc., 64, 633-668.
37. Wang, R., 1991. Tidal deformations of a rotating, spherically asymmetric, visco-elastic and laterally heterogeneous Earth, PhD thesis, Univ. of Kiel, Kiel, Germany.
38. Woodhouse, J.H. & Dahlen, F.A., 1978. The effect of a general aspherical perturbation on the free oscillations of the Earth, Geophys. J. R. astr. Soc., 53, 335-354.
39. Zhong, S., Paulson, A. & Wahr, J., 2003. Three-dimensional finite element modeling of Earth's viscoelastic deformations: Effects of lateral variations in lithospheric thickness, Geophys. J. Int., 155, 679-695.