Positive feedback of interacting ductile faults from coupling of equation of state, rheology and thermal-mechanics

Physics of the Earth and Planetary Interiors

Volumn 142, Issue 1-2, 2004, Pages 113-135

  Regenauer Lieb, Klaus ^a,b   Yuen, Dave ^c  

^a CSIRO   (Australia)

^b ETH ZURICH   (Switzerland)

^c Dept of Geol/Geophys/Minnesota ^*  (United States)

Author keywords

Effect of water; Numerical techniques; Shear zones; Symmetry breaking; Thermal feedback

Indexed keywords

DUCTILE DEFORMATION; FAULTING; FEEDBACK MECHANISM; LITHOSPHERE; RHEOLOGY;

EID: 1842577563     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.pepi.2004.01.003     Document Type: Article

References (76)

1. ABAQUS/Standard, 2000. Hibbit, Karlsson and Sorenson Inc.
2. Ashby M.F.Verall R.A.Micromechanisms of flow and fracture, and their relevance to the rheology of the upper mantle Philos. Trans. R. Soc. Lond. 288 1977 59-95
3. Bassi G.Bonnin J.Rheological modeling and deformation instability of lithosphere under extension Geophys. J. 93 1988 485-504
4. Batt G.E.Braun J.On the themomechanical evolution of compressional orogens Geophys. J. Int. 128 1997 364-382
5. Ben-Zion Y.Sammis C.G.Characterization of fault zones Pure Appl. Geophys. 160 2003 677
6. Bercovici D.Generation of plate tectonics from lithosphere-mantle flow and void-volatile self-lubrication Earth Planet. Sci. Lett. 154 1998 139-151
7. Bercovici D.The generation of plate tectonics from mantle convection Earth Planet. Sci. Lett. 6451 (Frontiers) 2002 1-15
8. Bercovici, D., S. Karato, 2003a. Theoretical analysis of shear localization in the lithosphere. In: Karato, S., Wenk, H.-R. (Eds.), Plastic Deformation of Minerals and Rocks. Mineralogical Society of America, Washington, DC.
9. Bercovici, D., Karato, S., 2003b. Whole-mantle convection and the transition zone water filter. Nature, 2003b, 425, 39-44.
10. Bercovici D.Ricard Y.Energetics of a two-phase model of lithospheric damage, shear localization and plate-boundary formation Geophys. J. Int. 152 2003 581-596
11. Billen M.I.Gurnis M.A low viscosity wedge in subduction zones Earth Planet. Sci. Lett. 1931/2 2001 227-236
12. Branlund J.Regenauer-Lieb K.Yuen D.Weak zone formation for initiating subduction from thermo-mechanical feedback of low-temperature plasticity Earth Planet. Sci. Lett. 190 2001 237-250
13. Branlund J.M.Kameyama M.C.Yuen D.A.Kaneda Y.Effects of temperature-dependent thermal diffusivity on shear instability in a viscoelastic zone: implications for faster ductile faulting and earthquakes in the spinel stability field Earth Planet. Sci. Lett. 1822 2000 171-185
14. Buck W.R.Poliakov A.N.B.Abyssal hills formed by stretching oceanic lithosphere Nature 392 1998 272-275
15. Burov E.B.Diament M.The effective elastic thickness (Te) of continental lithosphere: what does it really mean J. Geophys. Res. 100B1 1995 3905-3927
16. Caristan Y.The transition from high temperature creep to fracture in Maryland Diabase J. Geophys. Res. 87B8 1982 6781-6790
17. Cherukuri H.P.Shawki T.G.An energy-based localization theory: I. Basic framework Int. J. Plast. 11 1995a 15-40
18. Cherukuri H.P.Shawki T.G.An energy-based localization theory: II. Effects of the diffusion, inertia, and dissipation numbers Int. J. Plast. 11 1995b 41-64
19. Chrysochoos A.Maisonneuve O.Martin G.Caumon H.Chezeaux J.C.Plastic and dissipated work and stored energy Nucl. Eng. Design 114 1989 323-333
20. Duszek-Perzyna M.K.Perzyna P.Analysis of anisotropy and plastic spin effects on localization phenomena Arch. Appl. Mech. 685 1998 352-374
21. Evans B.The effect of temperature and impurity content on indentation hardness of quartz J. Geophys. Res. 89B6 1984 4213-4222
22. Evans B.Goetze C.The temperature variation of the hardness of olivine and its implications for the polycrystalline yield stress J. Geophys. Res. 84 1979 5505-5524
23. Frederiksen S.Braun J.Numerical modelling of strain localisation during extension of the continental lithosphere Earth Planet. Sci. Lett. 1881-2 2001 241-251
24. Gerbault M.Poliakov A.N.B.Daignieres M.Prediction of faulting from the theories of elasticity and plasticity: what are the limits? J. Struct. Geol. 202/3 1998 301-320
25. Gordon R.G.Stein S.Global tectonics and space geodesy Science 256 1992 333-342
26. Hall C.E.Parmentier E.M.The influence of grain size evolution on convective instability G3 43 2003 1029
27. Heggie M.A molecular water pump in quartz dislocations Nature 355 1992 337-339
28. Heisenberg W.Mehrkoerperprobleme und Resonanz in der Quantenmechanik Zeitschrift f. Physik 38 1926 411-426
29. Hirth G.Tullis J.The brittle-plastic transition in experimentally deformed quartz aggregates J. Geophys. Res. 99B6 1994 11731-11747
30. Hobbs, B.E., Tanaka, H., Lio, Y., 2002. Acceleration of slip motion in deep extensions of seismogenic faults in and below the seismogenic region, Earth Planets and Space 54 (11), 1195-1205.
31. Huismans R.S.Podladchikov Y.Y.Cloetingh S.Transition from passive to active rifting: relative importance of asthenospheric doming and passive extension of the lithosphere J. Geophys. Res. Solid Earth 106B6 2001 11271-11291
32. Kameyama C.Kaneda Y.Thermal-mechanical coupling in shear deformation as a model of frictional constitutive relations Pure Appl. Geophys. 1599 2002 2011-2028
33. Kameyama C.Yuen D.A.Karato S.Thermal-mechanical effects of low temperature plasticity (the Peierls mechanism) on the deformation of a viscoelastic shear zone Earth Planet. Sci. Lett. 168 1999 159-162
34. Kameyama M.C.Yuen D.A.Fujimoto H.The interaction of viscous heating with grain-size dependent rheology in the formation of localized slip zones Geophys. Res. Lett. 2420 1997 2523-2526
35. Karato S.Effects of pressure on plastic deformation of polycrystalline solids: some geological applications Mater. Res. Soc. Symp. Proc. 499 1998 3
36. Karato, S., Riedel, M.R., Yuen, D., 2001. Rheological structure and deformation of subducted slabs in the mantle transition zone: implications for mantle circulation and deep earthquakes. Phys. Earth Planet. Interiors 127, 83-108.
37. Karato S.I.Jung H.Y.Effect of pressure on high-temperature dislocation creep in olivine Philos. Mag. A 833 2003 401-414
38. Kohlstedt D.L.Evans B.Mackwell S.J.Strength of the lithosphere: constraints imposed by laboratory measurements J. Geophys. Res. 100B9 1995 17587-17602
39. 4 Contrib. Mineral. Petrol. 123 1996 345-357
40. Landau L.D.On the problem of turbulence Doklady Akademii Nauk USSR 44 1944 339-342
41. Li J.Van Vliet K.J.Zhu T.Yip S.Suresh S.Atomistic mechanisms governing elastic limit and incipient plasticity in crystals Nature 4186895 2002 307-310
42. Mei S.Kohlstedt D.L.Influence of water on plastic deformation of olivine aggregates: 1. Diffusion creep regime J. Geophys. Res. 105B9 2000a 21457-21469
43. Mei S.Kohlstedt D.L.Influence of water on plastic deformation of olivine aggregates: 2. Dislocation creep regime J. Geophys. Res. 105B9 2000 21471-21481
44. Melini D.Cassarotti E.Piersanti A.Boschi E.New insights on long distance fault interaction Earth Planet. Sci. Lett. 204 2002 363-372
45. Montesi, L.G.J., Zuber, M.T., 2002. A unified description of localization for application to large-scale tectonics. J. Geophys. Res. Solid Earth 107 (B3), art. no. 2045.
46. Nabarro, N., 1967. Theory of Crystal Dislocations. Oxford University Press, Oxford, 821 pp.
47. Needleman A.Computational modeling of material failure Appl. Mech. Rev. 47 1994 34-42
48. Needleman A.Tvergaard V.Analyses of plastic flow deformation in metals Appl. Mech. Rev. 45 1992 3-18
49. Ogawa M.Shear instability in a viscoelastic material as the cause of deep focus earthquakes J. Geophys. Res. 92B1 1987 13801-13810
50. 2 J. Chem. Phys. 101 1994 3111-3116
51. Poliakov A.N.B.Herrmann H.J.Self-organized criticality of plastic shear bands in rocks Geophys. Res. Lett. 2119 1994 2143-2146
52. Poliakov A.N.B.Herrmann H.J.Podladchikov Y.Y.Fractal plastic shear bands Fractals 2 1994 567-581
53. Pollitz F.F.Viscoelastic shear zone model of a strike-slip earthquake cycle J. Geophys. Res. Solid Earth 106B11 2001 26541-26560
54. Pozrikidis, C., 2001. Fluid Dynamics: Theory, Computation and Numerical Simulation. Kluwer Academic Publishers, Boston, 675 pp.
55. 4, from 9.7 to 16.5 GPa J. Geophys. Res. 98B11 1993 19777-19783
56. Ranalli G.Nonlinear flexure and equivalent mechanical thickness of the lithosphere Tectonophysics 240 1994 107-114
57. Regenauer-Lieb K.Dilatant plasticity applied to Alpine collision: ductile void growth in the intraplate area beneath the Eifel Volcanic Field J. Geodyn. 27 1999 1-21
58. Regenauer-Lieb K.Kohl T.Water solubility and diffusivity in olivine: its role for planetary tectonics Miner. Mag. 67 2003 697-715
59. Regenauer-Lieb K.Petit J.P.Yuen D.Adiabatic shear bands in the lithosphere: numerical and experimental approaches Electron. Geosci. 4 1999 2
60. Regenauer-Lieb K.Yuen D.Rapid conversion of elastic energy into shear heating during incipient necking of the lithosphere Geophys. Res. Lett. 2514 1998 2737-2740
61. Regenauer-Lieb K.Yuen D.Quasi-adiabatic instabilities associated with necking processes of an elasto-viscoplastic lithosphere Phys. Earth Planet. Interiors 118 2000a 89-102
62. Regenauer-Lieb K.Yuen D.Branlund J.The initation of subduction: criticality by addition of water? Science 294 2001 578-580
63. Regenauer-Lieb K.Yuen D.A.Fast mechanisms for the formation of new plate boundaries Tectonophysics 322 2000b 53-67
64. Regenauer-Lieb K.Yuen D.A.Modeling shear zones in geological and planetary sciences: solid and fluid thermal-mechanical approaches Earth Sci. Revi. 63 2003 295-349
65. Rice, J.R., 1997. The localization of plastic deformation. In: W.T. Koiter (Ed.), Theoretical and Applied Mechanics. North-Holland, Amsterdam, pp. 207-220.
66. Rudnicki J.W.Rice J.R.Conditions for localization of deformation in pressure-sensitive dilatant materials J. Mech. Phys. Solids 236 1975 371-394
67. Shawki T.G.An energy criterion for the onset of shear localization in thermal viscoplastic material, Part I: Necessary and sufficient initiation conditions J. Appl. Mech. 61 1994a 530-537
68. Shawki T.G.An energy criterion for the onset of shear localization in thermal viscoplastic material, Part II: Applications and implications J. Appl. Mech. 61 1994b 538-547
69. Sherif, R.A., T.G. Shawki, 1992. The role of heat conduction during the post-localization regime in dynamic viscoplasticity. In: Zbib, H.M. (Ed.), Plasticity and Creep. ASME, New York, pp. 159-173.
70. Smith, G.D., 1977. Numerical Solution of Partial Differential Equations: Finite Difference Methods. Oxford University Press, London.
71. Wernicke B.Low-angle normal faults and seismicity-a review J. Geophys. Res. Solid Earth 100B10 1995 20159-20174
72. Yuen, D.A., Vincent, A.P., Bergeron, S.Y., Dubuffet, F., Ten, A.A., Steinbach, V.C., Starin, L., 2000. Crossing of scales and nonlinearities in geophysical processes. In: Boschi, E., Ekström, G., Morelli, A. (Eds.), Problems in Geophysics for the New Millenium, Editrice Compositori, Bologna, Italy, pp. 403-462.
73. Zbib, H.M., 1992. Plastic Flow and Creep. ASME, New York, 223 pp.
74. Zener C.Hollomom J.H.High speed deformation of metals J. Appl. Phys. 15 1944 22-32
75. Zervos A.Papanastasiou P.Vardoulakis I.A finite element displacement formulation for gradient elastoplasticity Int. J. Numer. Methods Eng. 506 2001 1369-1388
76. Zhong S.Gurnis M.Mantle convection with plates and mobile, faulted plate margins Science 267 1995 838-843