Dependence of horizontal stress magnitude on load dimension in glacial rebound models

Geophysical Journal International

Volumn 132, Issue 1, 1998, Pages 41-60

  Johnston, Paul ^a   Wu, Patrick ^b   Lambeck, Kurt ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

Fennoscandia; Lithosphere; Postglacial faulting; Postglacial rebound

Indexed keywords

DEGLACIATION; HORIZONTAL STRESS; LITHOSPHERE; NEOTECTONICS; POSTGLACIAL REBOUND;

EUROPE, FENNOSCANDIA;

EID: 0031952540     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246x.1998.00387.x     Document Type: Article

References (54)

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. Andersen, B.G., 1981. Late Weichselian ice sheets in Eurasia and Greenland, in The Last Great Ice Sheets, pp. 1-65, eds Denton, G.H. & Hughes, T.J., Wiley, New York, NY.
3. Arvidsson, R., 1996. Fennoscandian earthquakes: whole crustal rupturing related to postglacial rebound, Science, 274, 744-746.
4. Arvidsson, R. & Kulhanek, O., 1994. Seismodynamics of Sweden deduced from earthquake focal mechanisms, Geophys. J. Int., 116, 377-392.
5. Biot, M.A., 1965. Mechanisms of Incremental Deformations, Wiley, New York, NY.
6. Bungum, H., 1989. Earthquake occurrence and seismotectonics in Norway and surrounding areas, in Earthquakes at North-Atlantic Passive Margins: Neotectonics and Postglacial Rebound, pp. 501-519, eds Gregersen, S. & Basham, P.W., Kluwer, Dordrecht.
7. Byerlee, J.D., 1978. Friction of rock, Pure appl. Geophys., 116, 615-626.
8. Cathles, L.M., 1975. The Viscosity of the Earth's Mantle, Princeton University Press, Princeton, NJ.
9. Comer, R.P., 1983. Thick-plate flexure, Geophys. J. R. astr. Soc., 72, 101-113.
10. Davenport, C.A., Ringrose, P.S., Becker, A., Hancock, P. & Fenton, C., 1989. Geological investigations of late and post glacial earthquake activity in Scotland, in Earthquakes at North-Atlantic Passive Margins: Neotectonics and Postglacial Rebound, pp. 175-194, eds Gregersen, S. & Basham, P.W., Kluwer, Dordrecht.
11. Fung, Y.C., 1965. Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ.
12. Goodbody, A.M., 1982. Cartesian Tensors with Applications to Mechanics, Fluid Mechanics and Elasticity, Halsted Press, New York, NY.
13. Gregersen, S. & Basham, P.W., 1989. Summary, conclusions and recommendations, in Earthquakes at North-Atlantic Passive Margins: Neotectonics and Postglacial Rebound, pp. 1-6, eds Gregersen, S. & Basham, P.W., Kluwer, Dordrecht.
14. Han, D. & Wahr, J., 1995. The viscoelastic relaxation of a realistically stratified earth and a further analysis of postglacial rebound, Geophys. J. Int., 120, 287-311.
15. Jaeger, J.C. & Cook, N.G.W., 1969. Fundamentals of Rock Mechanics, Methuen, London.
16. James, T.S., 1991. Post-glacial deformation, PhD thesis, Princeton University, Princeton, NJ.
17. Johnston, A.C., 1987. Suppression of earthquakes by large continental ice sheets, Nature, 330, 467-469.
18. Johnston, A.C., 1989. The effect of large ice sheets on earthquake genesis, in Earthquakes at North-Atlantic Passive Margins: Neotectonics and Postglacial Rebound, pp. 581-599, eds Gregersen, S. & Basham, P.W., Kluwer, Dordrecht.
19. Johnston, P., Lambeck, K. & Wolf, D., 1997. Material versus isobaric internal boundaries in the Earth and their influence on postglacial rebound, Geophys. J. Int. 129, 252-268.
20. Kogan, M.G. & Kostoglodov, V.V., 1981. Isostasy of fracture zones in the Atlantic Ocean, J. geophys. Res., 86, 9248-9258.
21. Kujansuu, R., 1964. Nuorista siirroksista Lapissa. Summary: Recent faults in Lapland, Geologi, 16, 30-36.
22. Lagerbäck, R., 1979. Neotectonic structures in northern Sweden, Geol. Foren. Stockh. Forh., 100, 263-269.
23. Lagerbäck, R. & Witschard, F., 1983. Neotectonics in northern Sweden - geological investigations, Tech. rept. Geol. Ser. Sweden, 83-58, 1-58.
24. Lambeck, K., 1993a. Glacial rebound of the British Isles - I. Preliminary model results, Geophys. J. Int. 115, 941-959.
25. Lambeck, K. 1993b. Glacial rebound at the British Isles - II. A high resolution, high-precision model, Geophys. J. Int., 115, 960-990.
26. Lambeck, K., 1996. Limits on the areal extent of the Barents Sea ice sheets in Late Weichselian time, Global planet. Change, 12, 41-51.
27. 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.
28. 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.
29. McConnell, R.K., Jr. 1965. Isostatic adjustment in a layered earth, J. geophys. Res., 70, 5171-5188.
30. McKenzie, D. & Bowin, C., 1976. The relationship between bathymetry and gravity in the Atlantic Ocean, J. geophys. Res., 81, 1903-1915.
31. McNutt, M.K. & Menard, H.W., 1982. Constraints on yield strength in the oceanic lithosphere derived from observations of flexure, Geophys. J. R. astr. Soc., 71, 363-394.
32. Muir Wood, R., 1989. Extraordinary deglaciation reverse faulting in northern Fennoscandia, in Earthquakes at North-Atlantic Passive Margins: Neotectonics and Postglacial Rebound, pp. 141-173, eds Grgersen, S. & Basham, P.W., Kluwer, Dordrecht.
33. Nakada, M. & Lambeck, K., 1987. Glacial rebound and relative sea-level variations: a new appraisal, Geophys. J. R. astr. Soc., 90, 171-224.
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., 1985. 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. & Andrews, J.T., 1976. Glacial isostatic adjustment - I. The forward problem, Geophys. J. R. astr. Soc., 46, 605-646.
38. Quinlan, G., 1984. Postglacial rebound and the focal mechanisms of eastern Canadian earthquakes, Can. J. Earth Sci., 21, 1018-1023.
39. 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.
40. Slunga, R.S., 1989. Focal mechanisms and crustal stresses in the Baltic Shield, in Earthquakes at North-Atlantic Passive Margins: Neotectonics and Postglacial Rebound, pp. 261-276, eds Gregersen, S. & Basham, P.W., Kluwer, Dordrecht.
41. Sneddon, I.N., 1951. Fourier Transforms, McGraw-Hill, New York, NY.
42. Spada, G., Yuen, D., Sabadini, R. & Boschi, E., 1991. Lower-mantle viscosity constrained by seismicity around deglaciated regions, Nature, 351, 53-55.
43. Spiegel, M.R., 1968. Mathematical Handbook of Formulas and Tables, McGraw-Hill, New York, NY.
44. Stein, S., Sleep, N., Geller, R., Wang, S. & Kroeger, G., 1979. Earthquakes along the passive margin of eastern Canada, Geophys. Res. Lett., 5, 537-540.
45. Timoshenko, S. & Goodier, J.N., 1951. Theory of Elasticity, McGraw-Hill, New York, NY.
46. Wahlström, R., 1989. Seismodynamics and postglacial faulting in the Baltic Shield, in Earthquakes at North-Atlantic Passive Margins: Neotectonics and Postglacial Rebound, pp. 467-482, eds Gregersen, S. & Basham, P.W., Kluwer, Dordrecht.
47. Wolf, D., 1985a. The normal modes of a layered, incompressible Maxwell half-space, J. Geophys., 57, 106-117.
48. Wolf, D., 1985b. Thick-plate flexure re-examined, Geophys. J. R. astr. Soc., 80, 265-273.
49. Wolf, D., 1991. Viscoelastodynamics of a stratified, compressible planet: incremental field equations and short- and long-time asymptotes, Geophys. J. Int. 104, 401-417.
50. Wu, P., 1996. Change in orientation of near-surface stress field as constraints to mantle viscosity and horizontal stress difference in Eastern Canada, Geophys. Res. Lett., 23, 2263-2266.
51. Wu, P. & Hasegawa, H.S., 1996a. Induced stresses and fault potential in Eastern Canada due to a disc load - a preliminary analysis, Geophys. J. Int., 125, 415-430.
52. Wu, P. & Hasegawa, H.S., 1996b. Induced stresses and fault potential in Eastern Canada due to a realistic load - a preliminary analysis, Geophys. J. Int., 127, 215-229.
53. Wu, P. & Ni, Z., 1996. Some analytical solutions for the viscoelastic gravitational relaxation of a two-layer non-self-gravitating incompressible spherical earth, Geophys. J. Int., 126, 413-436.
54. Wu, P. & Peltier, W.R., 1982. Viscous gravitational relaxation, Geophys. J. R. astr. Soc., 70, 435-485.