Mantle viscosity beneath the Hudson Bay: An inversion based on the metropolis algorithm

Journal of Geophysical Research: Solid Earth

Volumn 107, Issue 12, 2002, Pages

  Cianetti, S ^a   Giunchi, C ^a   Spada, G ^b  

^a ISTITUTO NAZIONALE DI GEOFISICA E VULCANOLOGIA   (Italy)

^b UNIVERSITY OF URBINO   (Italy)

Author keywords

Mantle viscosity; Postglacial rebound; Simulated annealing

Indexed keywords

MANTLE STRUCTURE; POSTGLACIAL REBOUND; SIMULATED ANNEALING; VISCOSITY;

CANADA; HUDSON BAY;

EID: 0038741977     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: None     Document Type: Article

References (40)

1. Cathles, L. M., The Viscosity of the Earth Mantle, 386 pp., Princeton Univ. Press, Princeton, N. J., 1975.
2. Constable, S. C., R. L. Parker, and C. G. Constable, Occam's inversion: A practical algorithm for generating smooth models from electromagnetic sounding data, Geophysics, 52, 289-300, 1987.
3. Forte, A. M., and J. X. Mitrovica, New inferences of mantle viscosity from joint inversion of long- wavelength convection and postglacial rebound data, Geophys. Res. Lett., 23, 1147-1150, 1996.
4. Hardy, L., Contribution a l'etude geomorphologique de la portion Quebecoise de la Baie de James, Ph.D. thesis, McGill Univ., Montreal, 1976.
5. Johnston, P. J., and K. Lambeck, Automatic inference of ice models from postglacial sea level observations: Theory and applications to the British Isles, J. Geophys. Res., 105, 13,179-13,194, 2000.
6. Karato, S., Plasticity-crystal systematics in dense oxides and its implications for the creep strength of the Earth's deep interior: A preliminary result, Phys. Earth Planet. Inter., 55, 234-240, 1989.
7. Kaufmann, G., and K. Lambeck, Mantle dynamics, postglacial rebound and the radial viscosity profile, Phys. Earth Planet. Inter., 121, 301-324, 2000.
8. King, S. D., Radial models of mantle viscosity: Results from a genetic algorithm, Geophys. J. Int., 122, 725-734, 1995.
9. Lambeck, K., P. Johnston, C. Smither, and M. Nakada, Glacial rebound of the British Isles, III, Constraints on mantle viscosity, Geophys. J. Int., 125, 340-354, 1996.
10. Metropolis, N., and S. M. Ulam, The Monte Carlo method, J. Am. Stat. Assoc., 44, 335-341, 1949.
11. Metropolis, N., A. W. Rosenbluth, N. M. Rosenbluth, A. H. Teller, and E. Teller, Equation of state calculations by fast computing machines, J. Chem. Phys., 1(6), 1087-1092, 1953.
12. Mitrovica, J. X., Haskell [1935] revisited, J. Geophys. Res., 101, 555-569, 1996.
13. Mitrovica, J. X., and A. M. Forte, Radial profile of mantle viscosity: Results from a joint inversion of convection and post-glacial rebound observables, J. Geophys. Res., 102, 2751-2796, 1997.
14. Mitrovica, J. X., and W. R. Peltier, A complete formalism for the inversion of post glacial rebound data: Resolving power analysis, Geophys. J. Int., 104, 267-288, 1991.
15. Mitrovica, J. X., and W. R. Peltier, Constraints on mantle viscosity from relative sealevel variations in Hudson Bay, Geophys. Res. Lett., 19, 1185-1188, 1992.
16. Mitrovica, J. X., and W. R. Peltier, A new formalism for inferring mantle viscosity based on estimates of postglacial decay times: Application to RSL variations in N. E. Hudson Bay, Geophys. Res. Lett., 20, 2183-2186, 1993.
17. Mitrovica, J. X., and W. R. Peltier, Constraints on mantle viscosity based upon the inversion of post-glacial uplift data from the Hudson Bay region, Geophys. J. Int., 122, 353-377, 1995.
18. Mitrovica, J. X., A. M. Forte, and M. Simons, A reappraisal of postglacial decay times from Richmond Gulf and James Bay, Canada, Geophys. J. Int., 142, 783-800, 2000.
19. Mosegaard, K., and A. Tarantola, Monte Carlo sampling of solutions to inverse problems, J. Geophys. Res., 100, 12,431-12,447, 1995.
20. Mosegaard, K., and A. Tarantola, Probabilistic approach to inverse problems, in International Handbook of Earthquake and Engineering Seismology, pp. 237-265, Academic, San Diego, Calif., 2002.
21. Nakada, M., and K. Lambeck, Late Pleistocene and Holocene sea-level change: Evidence for lateral mantle viscosity structure?, in Glacial Isostasy, Sea-Level and Mantle Rheology, NATO ASI Ser., vol. 334, edited by R. Sabadini, K. Lambeck, and E. Boschi, pp. 74-94, Kluwer Acad., Norwell, Mass., 1991.
22. Peltier, W. R., Postglacial variations in the level of the sea: Implications for climate dynamics and solid-Earth geophysics, Rev. Geophys., 36, 603-689, 1998.
23. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran, 963 pp., Cambridge Univ. Press, New York, 1997.
24. Ricard, Y., C. Vigny, and C. Froidevaux, Mantle heterogeneities, geoid and plate motion: A Monte Carlo inversion, J. Geophys. Res., 94, 13,739-13,754, 1989.
25. Sambridge, M., Geophysical inversion with a neighbourhood algorithm, 1, Searching a parameter space, Geophys. J. Int., 138, 479-494, 1999a.
26. Sambridge, M., Geophysical inversion with a neighbourhood algorithm, 2, Appraising the ensemble, Geophys. J. Int., 138, 727-746, 1999b.
27. Simons, M., and B. H. Hager, Localization of the gravity field and the signature of glacial rebound, Nature, 390, 500-504, 1997.
28. Spada, G., Rebound postglaciale e dinamica rotazionale di un pianeta viscoelastico stratificato, Ph.D. thesis, Univ. of Bologna, Bologna, 1992.
29. Spada, G., Mantle viscosity from Monte Carlo inversion of very long baseline interferometry data, J. Geophys. Res., 106, 16,375-16,385, 2001.
30. Spada, G., R. Sabadini, D. A. Yuen, and Y. Ricard, Effects on postglacial rebound from the hard rheology of the transition zone, Geophys. J. Int., 109, 683-700, 1992.
31. Tarantola, A., Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation, Elsevier Sci., New York, 1987.
32. Tarantola, A., and B. Valette, Generalized nonlinear inverse problems using the least squares criterion, Rev. Geophys. Space Phys., 20, 219-232, 1982a.
33. Tarantola, A., and B. Valette, Inverse problems = quest for information, J. Geophys. Res., 50, 159-170, 1982b.
34. Tushingham, A. M., and W. R. Peltier, 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, 1991.
35. Tushingham, A. M., and W. R. Peltier, Validation of the ICE-3G model of Wurm-Wisconsin deglaciation using a global database of relative sealevel histories, J. Geophys. Res., 97, 3285-3304, 1992.
36. Vermeersen, L. L. A., et al., Mantle viscosity inferences from joint inversions of Pleistocene deglaciation-induced changes in geopotential with a new SLR analysis and polar wander, Geophys. Res. Lett., 25, 4261-4264, 1998.
37. Walcott, C., Rheological models and observational data of glacio-isostatic rebound, in Earth Rheology, Isostasy, and Eustasy, edited by N. Mömer, pp. 3-10, John Wiley, New York, 1980.
38. Walcott, R. I., Late Quaternary vertical movements in eastern North America: Quantitative evidence of glacio-isostatic rebound, Rev. Geophys. Space Phys., 10, 849-884, 1972.
39. Wessel, P., and W. H. F. Smith, New, improved version of the Generic Mapping Tools Released, Eos Trans. AGU, 79, 579, 1998.
40. Wu, P., and W. R. Peltier, Glacial isostatic adjustment and the free air gravity anomaly as a constraint on deep mantle viscosity, Geophys. J. R. Astron. Soc., 74, 377-450, 1983.