Material versus isobaric internal boundaries in the Earth and their influence on postglacial rebound

Geophysical Journal International

Volumn 129, Issue 2, 1997, Pages 252-268

  Johnston, Paul ^a   Lambeck, Kurt ^a   Wolf, Detlef ^b  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

Author keywords

Glacial isostasy; Mantle viscosity; Phase transitions

Indexed keywords

GLACIAL REBOUND; ISOSTASY; MANTLE; PHASE TRANSITION; VISCOSITY;

EID: 0030987701     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246X.1997.tb01579.x     Document Type: Article

References (62)

1. 3 perovskite, Geophys. Res. Lett., 20, 105-108.
2. 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.
3. Bina, C.R. & Wood, B.J., 1987. Olivine-Spinel transitions: experimental and thermodynamic constraints and implications for the nature of the 400-km seismic discontinuity, J. geophys. Res., 92, 4853-4866.
4. Biot, M.A., 1965. Mechanics of Incremental Deformations, John Wiley and Sons, New York, NY.
5. Bullen, K.E., 1975. The Earth's Density, Chapman and Hall, London.
6. Cathles, L.M., 1975. The Viscosity of the Earth's Mantle, Princeton University Press, Princeton, NJ.
7. Christensen, U.R., 1985. Mantle phase transitions and postglacial rebound, J. geophys. Res., 90, 11 312-11 318.
8. Dehant, V. & Wahr, J.M., 1991. The response of a compressible, non-homogenous Earth to internal loading: Theory, J. Geomag. Geoelectr., 43, 157-178.
9. Dziewonski, A.M. & Anderson, D.L., 1981. Preliminary reference Earth model, Phys. Earth planet. Inter., 25, 297-356.
10. Farrell, W.E. & Clark, J.A., 1976. On postglacial sea level, Geophys. J. R. astr. Soc., 46, 647-667.
11. Fjeldskaar, W. & Cathles, L.M., 1984. Measurement requirements for glacial uplift detection of nonadiabatic density gradients in the mantle, J. geophys. Res., 89, 10 115-10 124.
12. Forte, A.M. & Mitrovica, J.X., 1996. New inferences of mantle viscosity from joint inversion of long-wavelength mantle convection and postglacial rebound data, Geophys. R. Lett., 23, 1147-1150.
13. Gasperini, P. & Sabadini, R., 1989. Lateral heterogeneities in mantle viscosity and post-glacial rebound, Geophys. J., 98, 413-428.
14. Hager, B.H., 1984. Subducted slabs and the geoid: Constraints on mantle rheology and flow, J. geophys. Res., 89, 6003-6015.
15. Haskell, N.A., 1935. The motion of a viscous fluid under a surface load, Physics, 6, 265-269.
16. 2, Earth planet. Sci. Lett., 67, 238-248.
17. Jackson, I. & Rigden, S., 1997. Composition and temperature of the mantle: constraints from experimental studies of Earth materials, in The Earth's Mantle: Structure, Composition and Evolution - the Ringwood Volume, ed. Jackson, I., Cambridge University Press, Cambridge, in press.
18. James, T.S. & Lambert, A., 1993. A comparison of VLBI data with the ICE-3G glacial rebound model, Geophys. Res. Lett., 20, 871-874.
19. James, T.S. & Morgan, W.J., 1990. Horizontal motions due to postglacial rebound, Geophys. Res. Lett., 17, 957-960.
20. Johnston, P., 1993. The effect of spatially non-uniform water loads on prediction of sea-level change, Geophys. J. Int., 114, 615-634.
21. Lambeck, K., 1993a. Glacial rebound of the British Isles - I. Preliminary model results, Geophys. J. Int., 115, 941-959.
22. Lambeck, K., 1993b. Glacial rebound of the British Isles - II. A high resolution, high-precision model, Geophys. J. Int., 115, 960-990.
23. 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.
24. Longman, I.M., 1962. A Green's function for determining the deformation of the Earth under surface mass loads, 1. Theory, J. geophys. Res., 67, 845-850.
25. Longman, I.M., 1963. A Green's function for determining the deformation of the Earth under surface mass loads, 2. Computations and numerical results, J. geophys. Res., 68, 485-496.
26. 3-. perovskites to 30 GPa, J. geophys. Res., 96, 8069-8079.
27. McConnell, R.K., Jr, 1965. Isostatic adjustment in a layered earth, J. geophys. Res., 70, 5171-5188.
28. Mareschal, J.-C. & Gangi, A.F., 1977. Equilibrium position of a phase boundary under horizontally varying surface loads, Geophys. J. R. astr. Soc., 49, 757-772.
29. Mitrovica, J.X., 1996. Haskell [1935] revisited, J. geophys. Res., 101, 555-569.
30. Mitrovica, J.X. & Peltier, W.R., 1989. Pleistocene deglaciation and the global gravity field, J. geophys. Res., 94, 13 651-13 671.
31. Nakada, M. & Lambeck, K., 1991. Late Pleistocene and Holocene sea-level change; evidence for lateral mantle viscosity structure? in Glacial Isostasy, Sea-Level and Mantle Rheology, pp. 33-61, eds Sabadini, R., Lambeck, K. & Boschi, E., Kluwer Academic Publishers, Dordrecht, The Netherlands.
32. O'Connell, R.J., 1976. The effects of mantle phase changes on postglacial rebound, J. geophys. Res., 81, 971-974.
33. O'Connell, R.J. & Wasserburg, G.J., 1967. Dynamics of the motion of a phase change boundary to changes in pressure, Rev. Geophys., 5, 329-410.
34. Peltier, W.R., 1974. The impulse response of a Maxwell earth, Rev. Geophys. Space Phys., 12, 649-669.
35. Peltier, W.R., 1976. Glacial-isostatic adjustment - II. The inverse problem, Geophys. J. R. astr. Soc., 46, 669-705.
36. Peltier, W.R., 1985a. The LAGEOS constraint on deep mantle viscosity: results from a new normal mode method for the inversion of viscoelastic relaxation spectra, J. geophys. Res., 90, 9411-9421.
37. Peltier, W.R., 1985b. Mantle convection and viscoelasticity, Ann. Rev. Fluid Mech., 17, 561-608.
38. Peltier, W.R. & Andrews, J.T., 1976. Glacial isostatic adjustment - I. The forward problem, Geophys. J. R. astr. Soc., 46, 605-646.
39. Peltier, W.R. & Jiang, X., 1996. Mantle viscosity from the simultaneous inversion of multiple data sets pertaining to postglacial rebound, Geophys. Res. Lett., 23, 503-506.
40. Peltier, W.R., Drummond, R.A. & Tushingham, A.M., 1986. Postglacial rebound and transient lower mantle rheology, Geophys. J. R. astr. Soc., 87, 79-116.
41. Petersen, N., Vinnik, L., Kosarev, G., Kind, R., Oreshin, S. & Stammler, K., 1993. Sharpness of the mantle discontinuities, Geophys. Res. Lett., 20, 859-862.
42. Ringwood, A.E., 1975. Composition and Petrology of the Earth's Mantle, McGraw-Hill, New York, NY.
43. Ringwood, A.E., 1991. Phase transformations and their bearing on the constitution and dynamics of the mantle, Geochim. Cosmochim. Acta, 55, 2083-2110.
44. Rümpker, G. & Wolf, D., 1996. Viscoelastic relaxation of a burgers half-space - implications for the interpretation of the Fennoscandian uplift, Geophys. J. Int., 124, 541-555.
45. Sabadini, R., Yuen, D.A. & Boschi, E., 1982. Polar wandering and the forced responses of a rotating, multilayered, viscoelastic planet, J. geophys. Res., 87, 2885-2903.
46. Sammis, C.G., Smith, J.C., Schubert, G. & Yuen, D.A., 1977. Viscosity-depth profile of the Earth's mantle: effects of polymorphic phase transitions, J. geophys. Res., 82, 3747-3761.
47. Spada, G., Yuen, D.A., Sabadini, R., Morin, P.J. & Gasperini, P., 1990. A computer-aided, algebraic approach to the post-glacial rebound problem, Mathematica Journal, 1, 65-68.
48. Turcotte, D.L. & Schubert, G., 1971. Structure of the olivine-spinel phase boundary in the descending lithosphere, J. geophys. Res., 74, 1458-1474.
49. Tushingham, A.M. & Peltier, W.R., 1992, Validation of the ICE-3G Model of Würm-Wisconsin Deglaciation using a global data base of relative sea level histories, J. geophys. Res., 97, 3285-3304.
50. Wolf, D., 1984. The relaxation of spherical and flat Maxwell earth models and effects due to the presence of the lithosphere, J. Geophys., 56, 24-33.
51. Wolf, D., 1985. The normal modes of a layered, incompressible Maxwell half-space, J. Geophys., 57, 106-117.
52. Wolf, D., 1991a. Boussinesq's problem of viscoelasticity, Terra Nova, 3, 401-407.
53. Wolf, D., 1991b. Viscoelastodynamics of a stratified, compressible planet: incremental field equations and short- and long-time asymptotes, Geophys. J. Int., 104, 401-417.
54. Wolf, D., 1993. The changing role of the lithosphere in models of glacial isostasy: a historical review, Global planet. Change, 8, 95-106.
55. Wolf, D., 1994. Lamé's problem of gravitational viscoelasticity: the isochemical, incompressible planet, Geophys. J. Int., 116, 321-348.
56. Wu, P., 1978. The response of a Maxwell earth to applied surface mass loads: glacial isostatic adjustment, MSc thesis, University of Toronto, Canada.
57. Wu, P., 1990. Deformation of internal boundaries in a viscoelastic earth and topographic coupling between the mantle and core, Geophys. J. Int., 101, 213-231.
58. Wu, P., 1992. Deformation of an incompressible viscoelastic flat earth with power-law creep: a finite element approach, Geophys. J. Int., 108, 35-51.
59. Wu, P. & Ni, Z., 1996. Some analytical solutions for the visco-elastic gravitational relaxation of a two-layer non-self gravitating incompressible spherical earth, Geophys. J. Int., 126, 413-436.
60. Wu, P. & Peltier, W.R., 1982. Viscous gravitational relaxation, Geophys. J. R. astr. Soc., 70, 435-485.
61. Wu, P. & Peltier, W.R., 1983. Glacial isostatic adjustment and the free air gravity anomaly as a constraint on deep mantle viscosity, Geophys. J. R. astr. Soc., 74, 377-449.
62. Yuen, D.A., Sabadini, R.C.A., Gasperini, P. & Boschi, E., 1986. On transient rheology and glacial isostasy, J. geophys. Res., 91, 11 420-11 438.