Effects of lateral viscosity variations on postglacial rebound: An analytical approach

Geophysical Journal International

Volumn 137, Issue 2, 1999, Pages 489-500

  Kaufmann, Georg ^a   Wolf, Detlef ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

Author keywords

Glacial rebound; Lateral heterogeneity; Viscoelasticity

Indexed keywords

CRUSTAL DEFORMATION; GLACIAL REBOUND; HETEROGENEITY; VISCOSITY;

EID: 0033054883     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.1999.00804.x     Document Type: Article

References (29)

1. Amelung, F. & Wolf, D., 1994. Viscoelastic perturbations of the Earth: significance of the incremental gravitational force in models of glacial isostasy, Geophys. J. Int., 117, 864-879.
2. Bunge, H.P. & Richards, M.A., 1996. The origin of large scale structure in mantle convection: effects of plate motions and viscosity stratification, Geophys. Res. Lett., 23, 2987-2990.
3. D'Agostino, G., Spada, G. & Sabadini, R., 1997. Postglacial rebound and lateral viscosity variations - a semi-analytical approach based on a spherical model with Maxwell rheology, Geophys. J. Int., 129, F9-F13.
4. Gasperini, P. & Sabadini, R., 1989. Lateral heterogeneities in mantle viscosity and post-glacial rebound, Geophys. J. 98, 413-428.
5. Gasperini, P. & Sabadini, R., 1990. Finite element modelling of lateral viscosity heterogeneities and post-glacial rebound, Tectonophysics, 179, 141-149.
6. Gasperini, P., Yuen, D.A. & Sabadini, R., 1990. Effects of lateral viscosity variations on postglacial rebound: implications for recent sea-level trends, Geophys. Res. Lett., 17, 5-8.
7. Kaufmann, G. & Wu, P., 1998. Lateral asthenospheric viscosity variations and postglacial rebound: a case study for the Barents Sea, Geophys. Res . Lett., 25, 1963-1966.
8. Kaufmann, G., Wu, P. & Wolf, D., 1997. Some effects of lateral heterogeneities in the upper mantle on postglacial land uplift close to continental margins, Geophys. J. Int., 128, 175-187.
9. Lambeck, K., Johnston, P., Smither, C. & Nakada, M., 1996. Glacial rebound of the British Isles - III. Constraints on mantle viscosity, Geophys. J. Int., 125, 340-354.
10. LePage, W.R., 1980. Complex Variables and the Laplace Transform for Engineers, Dover, New York.
11. Lundqvist, J., 1986. Late Weichselian glaciation and deglaciation in Scandinavia, Quat. Sci. Rev., 5, 269-292.
12. Mitrovica, J.X., 1996. Haskell [1935] revisited, J. geophys. Res., 101, 555-569.
13. Mitrovica, J.X. & Forte, A.M., 1997. Radial profile of mantle viscosity: results from a joint inversion of convection and postglacial rebound observables, J. geophys. Res., 102, 2751-2769.
14. Oberhettinger, F., 1990. Tables of Fourier Transforms and Fourier Transforms of Distributions, Springer-Verlag, Berlin.
15. Peltier, W.R., 1997. Correction to 'Glacial isostatic adjustment and Earth rotation: refined constraints on the viscosity of the deepest mantle' by W. R. Peltier and Xianhua Jiang, J. geophys. Res., 102, 10 101-10 103.
16. Peltier, W.R. & Jiang, X., 1996. Glacial isostatic adjustment and Earth rotation: refined constraints on the viscosity of the deepest mantle, J. geophys. Res., 101, 3269-3290.
17. Richards, M.A. & Hager, B.H., 1989. Effects of lateral viscosity variations on long-wavelength geoid anomalies and topography, J. geophys. Res., 94, 10 299-10 313.
18. Sabadini, R., Yuen, D.A. & Portney, M., 1986. The effects of upper mantle lateral heterogeneities on postglacial rebound, Geophys. Res. Lett., 13, 337-340.
19. Su, W.J., Woodward, R.L. & Dziewonski, A.M., 1994. Degree 12 model of shear velocity heterogeneity in the mantle, J. geophys. Res., 99, 6945-6980.
20. Tushingham, A.M. & Peltier, W.R., 1991. Ice-3G: a new global model of late Pleistocene deglaciation based upon geophysical predictions of post-glacial relative sea level change, J. geophys. Res., 96, 4497-4523.
21. Van Der Hilst, R.D., Widiyantoro, S. & Engdahl, E., 1997. Evidence for deep mantle circulation from global tomography, Nature, 386, 578-584.
22. Vermeersen, L.L.A., Fournier, A. & Sabadini, R., 1997. Changes in rotation induced by Pleistocene ice masses with stratified analytical Earth models, J. geophys. Res., 102, 27 689-27 702.
23. Wessel, P. & Smith, W.H.F., 1991. Free software helps map and display data, EOS, Trans. Am. geophys. Un., 72, 441-446.
24. Wolf, D., 1987. An upper bound on lithosphere thickness from glacio-isostatic adjustment in Fennoscandia, J. Geophys., 61, 141-149.
25. Wolf, D., 1991a. Viscoelastodynamics of a stratified, compressible planet: incremental field equations and short- and long-time asymptotes, Geophys. J. Int., 104, 401-417.
26. Wolf, D., 1991b. Boussinesq's problem of viscoelasticity, Terra Nova, 3, 401-407.
27. Wolf, D., 1994. Lamé's problem of gravitational viscoelasticity: the isochemical, incompressible planet, Geophys. J. Int., 116, 321-348.
28. Wolf, D., 1997. Gravitational viscoelastodynamics for a hydrostatic planet, Publ. Deut. Geod. Komm., Ser. C, 452, 1-96.
29. Woodhouse, J.H. & Dziewonski, A.M., 1984. Mapping the upper mantle: three-dimensional modelling of Earth structure by inversion of seismic waveforms, J. geophys. Res., 89, 5953-5986.