Postglacial sea level: Energy method

Global and Planetary Change

Volumn 20, Issue 2-3, 1999, Pages 125-156

  Fang, Ming ^a   Hager, Bradford H ^a  

^a Atmosph Planet Sci M ^*  (United States)

Author keywords

Redistribution Ice sea Earth system; Sea level

Indexed keywords

ATMOSPHERE-ICE-OCEAN SYSTEM; LITHOSPHERE; MODELING; SEA LEVEL; VISCOSITY;

EID: 0032964235     PISSN: 09218181     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0921-8181(98)00067-8     Document Type: Conference Paper

References (60)

1. Ashby M.F., Verrall R.A. Micromechanisms of flow and fracture, and their relevance to the rheology of the upper mantle. Phil. Trans. R. Soc. Lond. 288:1977;59-95.
2. Beauchesne S., Poirier J.-P. Creep of barium titanate perovskite: a contribution to a systematic approach to the viscosity of the lower mantle. Phys. Earth Planet. Inter. 55:1989;187-199.
3. Cathles, L.M., 1975. The Viscosity of the Earth's Mantle. Princeton University Press.
4. Clark J.A., Farrell W.E., Peltier W.R. Global changes in postglacial sea level: a numerical calculation. Quat. Res. New York. 9:1978;265-278.
5. Dahlen F.A. The passive influence of the oceans upon the rotation of the earth. Geophys. J. R. Astron. Soc. 46:1976;363-406.
6. Dziewonski A.M., Anderson D.L. Preliminary reference Earth model. Phys. Earth Planet. Inter. 25:1981;297-356.
7. Edmonds, A.R., 1960. Angular Momentum in Quantum Mechanics. Princeton Univ. Press.
8. Fang M., Hager B.H. A singularity free approach to post-glacial rebound calculations. Geophys. Res. Lett. 21:1994;2131-2134.
9. Fang M., Hager B.H. The singularity mystery associated with a radially continuous Maxwell viscoelastic structure. Geophys J. Int. 123:1995;849-865.
10. Fang M., Hager B.H. The sensitivity of post-glacial sea level to viscosity structure and ice-load history for realistically parameterized viscosity profiles. Geophys. Res. Lett. 23:1996;3787-3790.
11. Farrell W.E. Deformation of the earth by surface loads. Rev. Geophys. Space Phys. 10:1972;761-797.
12. Farrell W.E., Clark J.A. On postglacial sea level. Geophys. J. R. Astr. Soc. 46:1976;647-667.
13. Ivins E.R., Sammis C.G., Yorder C.F. Deep mantle viscosity structure with proir estimate and satellite constraint. J. Geophys. Res. 98:1993;4579-4609.
14. Johnston P. The effect of spatially non-uniform water loads on prediction of sea level change. Geophys. J. Int. 114:1993;615-634.
15. Heiskanen, W.A., Moritz, H., 1967. Physical Geodesy, Freeman & Company.
16. Hanyk L., Yuen D.A., Matyska C. Initial-value and modal approaches for transient viscoelastic responses with complex viscosity profiles. Geophys. J. Int. 127:1996;348-362.
17. Haskell N.A. The motion of viscous fluid under a surface load. Physics. 6:1935;265-269.
18. Haskell N.A. The viscosity of the asthenosphere. Am. J. Sci. 33:1937;22-28.
19. Ito, E., Takahashi, E., 1987. Ultrahigh-pressure phase transformations and the constitution of the deep mantle. In: Akimoto, S., Manghnani, M.H. (Eds.), High-Pressure Research in Mineral Physics. Center for Acad. Pub., Tokyo, pp. 221-229.
20. Karato S. Rheology of the lower mantle. Phys. Earth Planet. Inter. 24:1981;1-14.
21. Karato S., Li P. Diffusion creep in perovskite: implications for the rheology of the lower mantle. Science. 255:1992;1238-1240.
22. Karato S., Wu P. Rheology of the upper mantle: a synthesis. Science. 260:1993;771-778.
23. Karato S., Zhang S., Wenk H.R. Superplasticity in Earth's lower mantle: evidence from seismic anisotropy and rock physics. Science. 270:1995;458-461.
24. 3 perovskite. Phys. Earth Planet. Inter. 95:1996;19-36.
25. Longman I.M. A Green function for determining the deformation of the earth under surface loads: 1. Theory. J. Geophys. Res. 67(2):1962;845-850.
26. Mitrovica J.X. Haskell [1935] revisited. J. Geophys. Res. 101:1996;555-569.
27. Mitrovica J.X., Peltier W.R. On postglacial geoid subsidence over the equatorial oceans. J. Geophys. Res. 96(B12):1991;20053-20071.
28. Munk, W.H., MacDonald, G.J.F., 1960. The Rotation of the Earth. Cambridge Univ. Press.
29. Nakada M., Lambeck K. Glacial rebound and sea level variations: a new appraisal. Geophys. J. R. Astro. Soc. 90:1987;171-224.
30. Nakada M., Lambeck K. Late Pleistocene and Holocene sea-level change in the Australia region and mantle rheology. Geophys. J. Int. 96:1989;497-517.
31. Nakiboglu S.M., Lambeck K., Aharon P. Postglacial sea levels in the Pacific: implications with respect to deglaciation regime and local tectonics. Tectonophysics. 91:1983;335-358.
32. Niskannen E. On the viscosity of the Earth's interior and crust. Ann. Acad. Sci. Fennicae. 15(A):1948;1-28.
33. O'Connell R.J. On the scale of mantle convection. Tectonophysics. 38:1977;119-136.
34. Panasyuk S.V., Hager B.H. A model of transformational superplasticity of the upper mantle. Geophys. J. Int. 133:1998;741-755.
35. Paterson W.S.B. Laurentide ice sheet: estimated volumes during late Wisconsin. Rev. Geophys. Space Phys. 4:1972;885-917.
36. Peltier W.R. The impulse response of a Maxwell Earth. Rev. Geophys. Space Phys. 12:1974;649-669.
37. Peltier W.R. The thickness of the continental lithosphere. J. Geophys. Res. 89:1984;11303-11316.
38. Peltier, W.R., 1989. Mantle viscosity. In: Peltier, W.R. (Ed.), Mantle Convection: Plate Tectonics and Global Dynamics Gordon & Breach. New York, pp. 389-479.
39. Peltier, W.R., 1991. The ICE-3G model of late Pleistocene deglaciation: construction, verification, and application. In: Sabadini et al. (Eds.), Glacial Isostasy, Sea-level, and Mantle rheology. Kluwer Acad. Publ., pp. 95-119.
40. Peltier W.R., Andrews J.T. Glacial isostatic adjustment I, the forward problem. Geophys. J. R. Astro. Soc. 46:1976;605-646.
41. 3. Phys. Earth Planet. Int. 32:1983;273-287.
42. Post R.L., Griggs D.T. The earth's mantle: evidence of non-Newtonian flow. Science. 181:1973;1242-1244.
43. Quareni F., Mulargia F. The Grüneisen parameter and adiabatic gradient in the earth's interior. Phys. Earth Planet. Inter. 55:1989;221-233.
44. Ranalli, G., 1987. Rheology of the Earth, Chapman & Hall, London.
45. Ranalli, G., 1991. The microphysical approach to mantle rheology. In: Sabidini et al (Eds.), Glacial Isostasy, Sea-level, and Mantle rheology, Kluwer Acad. Publ. 493-513.
46. Sammis C.G., Smith J.C., Shubert G., Yuen D.A. Viscosity-depth profile of the earth's mantle: effects of polymorphic phase transitions. J. Geophys. Res. 82:1977;3747-3761.
47. Silver P.G., Kaneshima S. Constraints on mantle anisotropy beneath Precambrian North America from a transportable teleseismic experiment. Geophys. Res. Lett. 20:1993;1127-1130.
48. Simons, M., 1995 Localization of Gravity and Topography: Constraints on the Tectonics and Mantle Dynamics of Earth and Venus, PhD Thesis, MIT.
49. Stacey, F.D., 1977. Physics of the Earth, 2nd edn., Wiley, New York.
50. Stocker R.L., Ashby M.F. On the rheology of the upper mantle. Rev. Geophys. Space Phys. 11:1973;391-426.
51. Tabor, D., 1990. Gas, Liquid, and Solid. Cambridge Univ. Press.
52. Tushingham A.M., Peltier W.R. ICE-3G: a new global model of late Pleistocene deglaciation based upon geophysical predictions of post glacial relative sea level change. J. Geophys. Res. 96:1991;4497-4523.
53. Tushingham A.M., Peltier W.R. Validation of the ICE-3G model of Würm-Wisconsin deglaciation using a global data base of relative sea level histories. J. Geophys. Res. 97:1992;3285-3304.
54. Vening Meinesz, F.A., 1937. The determination of the earth's plasticity from the post-glacial uplift of Scandinavia: Isostatic adjustment, Ned. Akad: Wetenschaphen Proc. 2nd Ser., 40, 654-662.
55. 3): a contribution to creep systematics in perovsktes. Phys. Earth Planet. Inter. 79:1993;299-312.
56. Weertman J. Creep laws for the mantle of the earth. Phil. Trans. R. Soc. London. 288:1978;9-26.
57. Wu P. Deformation of an incompressible viscoelastic flat earth with power law creep: a finite element approach. Geophys. J. Int. 108:1992;136-142.
58. Wu P. Postglacial rebound in a power-law medium with axial symmetry and the existence of the transition zone in relative sea-level data. Geophys. J. Int. 114:1993;417-432.
59. Wu P., Peltier W.R. Glacial isostatic adjustment and the free air gravity anomaly as a constraint on deep mantle viscosity. J.R. Astron. Soc. 74:1983;377-449.
60. Yokokura T., Saito M. Viscosity of the upper mantle as non-Newtonian fluid. J. Phys. Earth. 26:1978;147-166.