A strain-rate-dependent force model of lithospheric strength

Geophysical Journal International

Volumn 141, Issue 3, 2000, Pages 647-660

  Porth, R ^a  

^a GFZ GERMAN RESEARCH CENTRE FOR GEOSCIENCES   (Germany)

Author keywords

Continental deformation; Intraplate tectonics; Lithosphere strength; Rheology; Strain rate; Stress distribution

Indexed keywords

CRUSTAL DEFORMATION; INTRAPLATE PROCESS; LITHOSPHERIC STRUCTURE; RHEOLOGY; STRAIN; STRESS;

EID: 0034038504     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246X.2000.00115.x     Document Type: Article

References (67)

1. Bassi, G., 1991. Factors controlling the style of continental rifting: insights from numerical modeling, Earth planet. Sci. Lett., 105, 430-452.
2. Blackwell, D.D., Bowen, R.G., Hull, D.A., Riccio, J. & Steele, J.L., 1982. Heat flow, arc volcanism, and subduction in northern Oregon, J. geophys. Res., 87, 8735-8754.
3. Bott, M.H.P., 1993. Modelling the plate-driving mechanism, J. geol. Soc. Lond., 150, 941-951.
4. Bott, M.H.P. & Kusznir, N.J., 1984. The origin of tectonic stress in the lithosphere, Tectonophysics, 105, 1-14.
5. Boutilier, R.R. & Keen, C.E., 1994. Geodynamic models of fault-controlled extension, Tectonics, 13, 439-454.
6. Brace, W.F. & Kohlstedt, D.L., 1980. Limits on lithospheric stress imposed by laboratory experiments, J. geophys. Res.,85, 6248-6252.
7. e) of continental lithosphere: what does it really mean?, J. geophys. Res., 100, 3905-3927.
8. Byerlee, J.D., 1978. Friction of rocks, Pure appl. Geophys., 116, 615-626.
9. Carter, N.L. & Tsenn, M.C., 1987. Flow properties of continental lithosphere, Tectonophysics, 136, 27-63.
10. Chen, W.-P. & Molnar, P., 1983. Focal depth of intracontinental and intraplate earthquakes and their implications for thermal and mechanical properties of the lithosphere, J. geophys. Res., 88, 4183-4214.
11. Chopra, P.N. & Paterson, M.S., 1981. The experimental deformation of dunite, Tectonophysics, 78, 453-473.
12. Christensen, U.R., 1992. An Eulerian technique for thermo-mechanical modeling of lithospheric extension, J. geophys. Res., 97, 2015-2036.
13. Coblentz, D.D. & Richardson, R.M., 1996. Analysis of the South American intraplate stress field, J. geophys. Res., 101, 8643-8657.
14. Drury, M.R., Vissers, R.L.M., van der Wal, D. & Hoogerduijn Strating, E.H., 1991. Shear localization in upper mantle peridotites, Pure appl. Geophys., 137, 439-460.
15. England, P. & Jackson, J., 1989. Active deformation of the continents, Ann. Rev. Earth planet Sci., 17, 197-226.
16. Fernández, M. & Ranalli, G., 1997. The role of rheology in extensional basin formation modelling, Tectonophysics, 282, 129-145.
17. Fleitout, L. & Froidevaux, C., 1982. Tectonics and topography for a lithosphere containing density heterogeneities, Tectonics, 1, 21-56.
18. Forsyth, D. & Uyeda, S. 1975. On the relative importance of the driving forces of plate motion, Geophys. J. R. astr. Soc., 43, 163-200.
19. Francheteau, J., Jaupart, C, Jie, S.X., Wenhua, K., Defu, L., Jiachi, B., Hungpin, W. & Hsiayeu, D., 1984. High heat flow in southern Tibet, Nature, 307, 32-36.
20. Froidevaux, C. & Isacks, B.L., 1984. The mechanical state of the lithosphere in the Altiplano-Puna segment of the Andes, Earth Planets Space, 71, 305-314.
21. Goetze, C. & Evans, B., 1979. Stress and temperature in the bending lithosphere as constrained by experimental rock mechanics, Geophys. J. R. astr. Soc., 59, 463-478.
22. Govers, R., 1993. Dynamics of lithospheric extension: a modeling study, PhD thesis, Utrecht University.
23. Hobbs, B.E., Mühlhaus, H.B. & Ord, A., 1990. Instability, softening and localization of deformation, in Deformation Mechanisms, Rheology and Tectonics, eds Knipe, R.J. & Rutter, E.H., Geol. Soc. Lond. Spec. Publ., 54, 143-166.
24. Hopper, R. & Buck, R.W., 1993. The initiation of rifting at constant tectonic force: role of diffusion creep, J. geophys. Res., 98, 16213-16221.
25. Isacks, B.L., 1988. Uplift of the central Andean plateau and bending of the Bolivian orocline, J. geophys. Res., 93, 3211-3231.
26. Jaoul. O., Tullis, J. & Kronenberg, A., 1984. The effect of varying water contents on the creep behaviour of Heavytree quartzite, J. geophys. Res., 89, 4298-4312.
27. Kirby, S.H., 1980. Tectonic stress in the lithosphere: constraints provided by the experimental deformation of rocks, J. geophys. Res., 85, 6353-6363.
28. Kirby, S.H., 1983. Rheology of the lithosphere, Rev. Geophys., 21, 1458-1487.
29. Kirby, S.H., 1985. Rock mechanics observations pertinent to the rheology of the continental lithosphere and the localisation of strain along shear zones, Tectonophysics, 119, 1-27.
30. Kirby, S.H. & Kronenberg, A.K., 1984. Deformation of clinopyroxenite: evidence for a transition in flow mechanisms and semibrittle behavior, J. geophys. Res., 89, 3177-3192.
31. Kohlstedt, D.L., Evans, B. & Mackwell, S.J., 1995. Strength of the lithosphere: constraints imposed by laboratory experiments, J. geophys. Res., 100, 17587-17602.
32. Kusznir, N.J. 1982. Lithosphere response to externally and internally derived stresses: a viscoelastic stress guide with amplification, Geophys. J. R. astr. Soc., 70, 399-414.
33. Kusznir, N.J., 1991. The distribution of stress with depth in the lithosphere: thermo-rheological and geodynamic constraints, in Tectonic Stress in the Lithosphere, pp. 95-110, eds Whitmarsh, R.B., Bott, M.H.P., Fairhead, J.D. & Kusznir, N.J., Cambridge University Press, Cambridge.
34. Kusznir, N.J. & Park, R.G., 1984. Intraplate lithosphere deformation and the strength of the lithosphere, Geophys. J. R. astr. Soc., 79, 513-538.
35. Kusznir, N.J. & Park, R.G., 1987. The extensional strength of the continental lithosphere: its dependence on geothermal gradient, and crustal composition and thickness, in Continental Extensional Tectonics, eds Coward, M.P., Dewey, J.F. & Hancock, P.L., Geol. Soc. Lond. Spec. Publ., 28, 35-52.
36. Long, L.T. & Zeit, K.-H., 1991. A local weakening of the brittle-ductile transition can explain some intraplate seismic zones, Tectonophysics, 186, 175-192.
37. McGarr, A., Zoback, M.D. & Hanks, T.C., 1982. Implications of an elastic analysis of in situ stress measurements near the San Andreas fault, J. geophys. Res., 87, 7797-7807.
38. Meissner, R., 1986. The Continental Crust: A Geophysical Approach, Academic Press, Orlando.
39. Meissner, R. & Strehlau, J., 1982. Limits of stress in continental crust and their relation to the depth-frequency distribution of shallow earthquakes, Tectonics, 1, 73-89.
40. Molnar, P. & Lyon-Caen, H., 1988. Some simple physical aspects of the support, structure, and evolution of mountain belts, Geol. Soc. Am. Spec. Paper, 218, 179-207.
41. Pollack, H.N., Hurter, S.J. & Jefrey. R.J., 1993. Heat flow from the Earth's interior: analysis of the global data set, Rev. Geophys., 31, 267-280.
42. Porth, R., 1997. Numerische Modellierungen (FE) der Lithosphärendynamik zur Untersuchung der Mechanik der andinen Plateauentwicklung, PhD thesis, Sci. Tech. Report 97/07, GeoForschungs-Zentrum Potsdam.
43. Ranalli, G., 1991. Regional variations in lithosphere rheology from heat flow observations, in Terrestrial Heat Flow and the Lithosphere Structure, pp. 1-22, eds Cermák, V. & Rybach, L., Springer-Verlag, Berlin.
44. Ranalli, G., 1995. Rheology of the Earth, 2nd edn, Chapman & Hall, London.
45. Ranalli, G., 1997. Rheology of the lithosphere in space and time, in Orogeny Through Time, eds Burg, J.-P. & Ford, M., Geol. Soc. Lond. Spec. Paper, 121, 19-37.
46. Ranalli, G. & Murphy, D.C., 1987. Rheological stratification of the lithosphere, Tectonophysics, 132, 281-295.
47. Richardson, M.R., 1992. Ridge forces, absolute plate motions, and the intraplate stress field, J. geophys. Res., 97, 11739-11748.
48. Richardson, M.R. & Coblentz, D.D., 1994. Stress modeling in the Andes: constraints on the American intraplate stress magnitudes, J. geophys. Res., 99, 22015-22055.
49. Richardson, M.R., Solomon, S.C. & Sleep, H.H., 1979. Tectonic stress in the plates, Rev. Geophys., 17, 981-1019.
50. Richter, F.M. & McKenzie, D.P., 1978. Simple plate models of mantle convection, J. Geophys., 44, 441-471.
51. Ross, J.V. & Lewis, P.D., 1989. Brittle-ductile transition: semi-brittle behaviour, Tectonophysics, 167, 75-79.
52. Sclater, J.G., Jaupart, C. & Galson, D., 1980. The heat flow through oceanic and continental crust and the heat loss of the Earth, Rev. Geophys. Space Phys., 19, 394-406.
53. Shelton, G. & Tullis, J., 1981. Experimental flow laws for crustal rocks, EOS, Trans. Am. geophys. Un., 62, 396.
54. Shimada, M., 1993. Lithosphere strength inferred from fracture strength of rocks at high confining pressures and temperatures, Tectonophysics, 217, 55-64.
55. Sibson, R.H., 1982. Fault zone models, heat flow, and the depth distribution of earthquakes in the continental crust of the United States, 72, 151-163.
56. Sonder, L.J. & England, P., 1986. Vertical averages of rheology of continental lithosphere: relation to thin sheet parameters, Earth planet. Sci. Lett., 77, 81-90.
57. Springer, M. & Förster, A., 1998. Heat-flow density across the central Andean subduction zone, Tectonophysics, 291, 123-139.
58. Stefanik, M. & Jurdy, D.M., 1992. Stress observations and driving force models for the South American Plate, J. geophys. Res., 97, 11905-11913.
59. Strehlau, J. & Meissner, R., 1987. Estimation of crustal viscosities and shear stresses from an extrapolation of steady state flow data, Am. Geophys. Union Geodyn. Ser., 16, 69-89.
60. Takeshita, T. & Yamaji, A., 1990. Acceleration of continental rifting due to a thermomechanical instability, Tectonophysics, 181, 307-320.
61. Thatcher, W., 1995. Microplate versus continuum descriptions of active tectonic deformation, J. geophys. Res., 100, 3885-3894.
62. Turcotte, D.L. & Schubert, G., 1982. Geodynamics, Application of Continuum Mechanics to Geological Problems, John Wiley, New York.
63. Wdowinski, S., 1998. A theory of intraplate tectonics, J. geophys. Res., 103, 5037-5059.
64. Wessel, P. & Smith, W.H.F, 1991. Free software helps map and display data, EOS, Trans. Am. geophys. Un., 72, 441.
65. Zoback, M.D. & Hickman, S.H., 1982. In situ study of the physical mechanism controlling induced seismicity at Monticello reservoir, South California, J. geophys. Res., 87, 6159-6174.
66. Zoback, M.D. et al., 1993. Upper-crustal strength inferred from stress measurements to 6 km depth in the KTB borehole, Nature, 365, 633-635.
67. Zoback, M.L., 1992. First and second order patterns of tectonic stresses in the lithosphere: the world stress map project, J. geophys. Res., 97, 11703-11729.