Simultaneous inversion for the Earth's mantle viscosity and ice mass imbalance in Antarctica and Greenland

Journal of Geophysical Research: Solid Earth

Volumn 110, Issue 7, 2005, Pages 1-14

  Tosi, N ^a,b   Sabadini, Roberto ^a   Marotta, A M ^a   Vermeersen, L L A ^c  

^a UNIVERSITY OF MILAN   (Italy)

^b GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DEGLACIATION; GLACIAL REBOUND; GRAVITY FIELD; MANTLE STRUCTURE; SECULAR VARIATION; VISCOSITY;

ANTARCTICA; ARCTIC; ARCTIC AND ANTARCTIC; GREENLAND; WORLD;

EID: 25444485752     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2004JB003236     Document Type: Article

References (31)

1. Cheng, M. K., C. K. Shum, and B. Tapley (1997), Determination of long-term changes in the Earth's gravity field from satellite laser ranging observations, J. Geophys. Res., 102, 377-390.
2. Cheng, M. K., B. Tapley, M. Fang, and B. Hager (2000), Constraint from long-term space geodetic observations, paper presented at IAG International Symposium on Gravity, Geoid and Geodynamics, Int. Assoc. of Geod., Banff, Canada, 31 July to 4 Aug.
3. Cheng, M. K., M. Fang, B. H. Hager, and B. D. Tapley (2003), Geodynamic effects of glacial isostasy from space geodetic observations, Geophys. Res. Abstr, 5, 12,584.
4. Cox, C. M., S. M. Klosko, and B. F. Chao (2001), Changes in ice-mass balances inferred from time variations of the geopotential, in Gravity, Geoid and Geodynamics 2000, IAG Symp. Ser., 123, edited by M. Sideras, pp. 355-360, Springer, New York.
5. Devoti, R., V. Luceri, C. Sciarretta, G. Bianco, G. Di Donato, L. L. A. Vermeersen, and R. Sabadini (2001), The SLR secular gravity variations and their impact on the inference of mantle rheology and lithospheric thickness, Geophys. Res. Lett., 28(5), 855-858.
6. Dziewonski, A. M., and D. L. Anderson (1981), Preliminary reference Earth model, Phys. Earth Planet. Inter., 25, 297-356.
7. Haskell, N. A. (1935), The motion of a fluid under a surface load, Physics, 6, 265-269.
8. Ivins, E. R., C. G. Sammis, and C. F. Yoder (1993), Deep mantle viscous structure with prior estimate and satellite constraint, J. Geophys. Res., 98, 4579-4609.
9. James, T. S., and E. R. Ivins (1997), Global geodetic signatures of the Antarctic ice sheet, J. Geophys. Res., 102, 605-633.
10. Johnston, P., and K. Lambeck (1999), Postglacial rebound and sea level contributions to changes in the geoid and the Earth's rotation axis, Geophys. J. Int., 136, 537-558.
11. Kaufmann, G. (2000), Ice-ocean mass balance during the late Pleistocene glacial cycles in view of CHAMP and GRACE satellite missions, Geophys. J. Int., 143, 142-156.
12. Kaufmann, G., and K. Lambeck (2002), Glacial isostatic adjustment and the radial viscosity profile from inverse modeling, J. Geophys. Res., 107(B11), 2280, doi:10.1029/2001JB000941.
13. Lambeck, K., C. Smither, and P. Johnston (1998), Sea-level change, glacial rebound and mantle viscosity for northern Europe, Geophys. J. Int., 134, 102-144.
14. Levenberg, K. (1944), A method for the solution of certain non-linear problems in least squares, Q. Appl. Math., 2, 164-168.
15. Marquardt, D. W. (1963), An algorithm for least-squares estimation of nonlinear parameters, J. Soc. Ind. Appl. Math., 11(2), 431-441.
16. Metris, G., D. Vokrouhlicky, J. C. Ries, and R. J. Eanes (1997), Nongravitational effects and the LAGEOS eccentricity excitations, J. Geophys. Res., 102(B2), 2711-2729.
17. Milne, G. A. (1998), Refining models of the glacial isostatic adjustment process, Ph.D. thesis, 126 pp., Univ. of Toronto, Toronto, Ont., Canada.
18. Mitrovica, J. X., and A. Forte (2004), A new inference of mantle viscosity based upon joint inversion of convection and glacial isostatic adjustment data, Earth Planet. Sci. Lett., 225, 177-189.
19. Mitrovica, J. X., and W. R. Peltier (1991), A complete formalism for the inversion of postglacial rebound data - Resolving power analysis, Geophys. J. Int., 104, 267-288.
20. Mitrovica, J. X., and W. R. Peltier (1993), Present-day secular variations in the zonal harmonics of the Earth's geopotential, J. Geophys. Res., 98, 4509-4526.
21. Nakada, M., and J. Okuno (2003), Perturbations of the Earth's rotation and their implications for the present day mass balance of both polar ice caps, Geophys. J. Int., 152, 124-138.
22. Phinney, R. A., and R. Burridge (1973), Representation of the elastic-gravitational excitation of a spherical Earth model by generalized spherical harmonics, Geophys. J. R. Astron. Soc., 34, 451-487.
23. Sabadini, R., and B. Vermeersen (2004), Global Dynamics of the Earth, 330 pp., Springer, New York.
24. Sabadini, R., D. A. Yuen, and E. Boschi (1982), Polar wandering and the forced responses of a rotating, multilayered, viscoelastic planet, J. Geophys. Res., 87, 2885-2903.
25. Sabadini, R., G. Di Donato, L. L. A. Vermeersen, R. Devoti, V. Luceri, and G. Bianco (2002), Ice mass loss in Antarctica and stiff lower mantle viscosity inferred from the long wavelength time dependent gravity field, Geophys. Res. Lett., 29(10), 1373, doi:10.1029/ 2001GL014016.
26. Stoer, J., and R. Bulirsch (2002), Introduction to Numerical Analysis, 3rd ed., Springer, New York.
27. Tushingham, A. M., and W. R. Peltier (1991), ICE-3G: A new global model of late Pleistocene deglaciation based upon geophysical predictions of postglacial relative sea level change, J. Geophys. Res., 96, 4497-4523.
28. Velicogna, I., and J. Wahr (2002), Postglacial rebound and Earth's viscosity structure from GRACE, J. Geophys. Res., 107(B12), 2376, doi:10.1029/2001JB001735.
29. Vermeersen, L. L. A., and R. Sabadini (1997), A new class of stratified viscoelastic models by analytical techniques, Geophys. J. Int., 129, 531-570.
30. Wahr, J. M., and J. L. Davis (2002), Geodetic constraints on glacial isostatic adjustment, in Ice Sheets, Sea Level and the Dynamic Earth, Geodyn. Ser., vol. 29, edited by J. X. Mitrovica and L. L. A. Vermeersen, pp. 3-32, AGU, Washington, D. C.
31. Wieckzerkowski, K., J. X. Mitrovica, and D. Wolf (1999), A revised relaxation-time spectrum for Fennoscandia, Geophys. J. Int., 139, 69-86.