Special Issue: Slip and Flow Processes in and below the Seismogenic Region (2)
- Article
- Published:
On the thermodynamics of listric faults
Earth, Planets and Space volume 56, pages 1111–1120 (2004)
Abstract
We investigate a novel fully coupled thermal-mechanical numerical model of the crust in order to trace the physics of interaction of its brittle and ductile layers. In a unified approach these layers develop in a natural transition as a function of the state variables pressure, deviatoric stress, temperature and strain-rate. We find that the main storage of elastic energy lies in the domain where brittle and ductile strain-rates overlap so that shear zones are attracted to this zone of maximum energy dissipation. This dissipation appears as a local heat source (shear heating). The brittle-ductile transition zone evolves through extreme weakening by thermo-mechanical feedback. The physics of the weakening process relies on repeated breaching of a critical energy flux threshold for feedback within this sub-horizontal brittle-ductile flow layer, thus developing unstable slipping events at postand pre-seismic strain-rates. The width- and the temperature domain of the feedback layer is controlled by the activation enthalpy Q of the material. For olivine rheology (Q ∼ 500 kJ/mol) the layer can be extremely thin <500 m and adheres to the 875 K isotherm. For quartz (Q ∼ 135 kJ/mol) the width of the feedback layer fans out into multiple interacting ductile faults covering a temperature domain of 450–600 K. The weakening by thermal-mechanical feedback entirely controls the location and rejuvenation of upper crustal shear zones propagating from the detachment upwards in the form of listric faults. Within the detachment shear layer we identify an astonishing rich dynamics featuring distinct individual creep bursts. We argue that the rich ductile dynamics holds the key to earthquakes in the brittle field.
References
Bercovici, D. and Y. Ricard, Energetics of a two-phase model of litho-spheric damage, shear localization and plate-boundary formation, Geophysical Journal International, 152, 581–596, 2003.
Cherukuri, H. P. and T. G. Shawki, An energy-based localization theory: I. Basic Framework, International Journal of Plasticity, 11, 15–40, 1995a.
Cherukuri, H. P. and T. G. Shawki, An energy-based localization theory: II. Effects of the diffusion, inertia, and dissipation numbers, International Journal of Plasticity, 11, 41–64, 1995b.
Dieterich, J. H., Modeling of Rock Friction. 1. Experimental Results and Constitutive Equations, Journal of Geophysical Research, 84(NB5), 2161–2168, 1979.
Fleitout, L. and C. Froidevaux, Thermal and Mechanical Evolution of Shear Zones, Journal of Structural Geology, 2(1-2), 159–164, 1980.
Funiciello, F., G. Morra, K. Regenauer-Lieb, and D. Giardini, Dynamics of retreating slabs: 1. Insights from two-dimensional numerical experiments, Journal of Geophysical Research-Solid Earth, 108(B4), art. No.-2206, 2003.
Hirth, G. and J. Tullis, The brittle-plastic transition in experimentally deformed quartz aggregates, Journal of Geophysical Research, 99(B6), 11731–11747, 1994.
Hirth, G., C. Teyssier, and W. J. Dunlap, An evaluation of quartzite flow laws based on comparisons between experimentally and naturally de-formed rocks, International Journal of Earth Sciences, 90(1), 77–87, 2001.
Hobbs, B. E. and A. Ord, Plastic instabilities: Implications for the origin of intermediate and deep focus earthquakes, Journal of Geophysical Research, 93(B9), 10521–10540, 1988.
Hobbs, B. E., A. Ord, and C. Teyssier, Earthquakes in the ductile regime, Pure and Applied Geophysics, 124(1/2), 310–336, 1986.
Hobbs, B. E., A. Ord, and K. Regenauer-Lieb, Fluid reservoirs in the crust and mechanical coupling between the upper and lower crust, Earth Planets Space, 56, this issue, 1151–1161, 2004.
Kameyama, M., D. A. Yuen, and H. Fujimoto, The interaction of viscous heating with grain-size dependent rheology in the formation of localized slip zones, Geophysical Research Letters, 24(20), 2523–2526, 1997.
Kameyama, M., D. A. Yuen, and S. Karato, Thermal-mechanical effects of low temperature plasticity (the Peierls mechanism) on the deformation of a viscoelastic shear zone, Earth and Planetary Science Letters, 168, 159–162, 1999.
Kohlstedt, D. L., B. Evans, and S. J. Mackwell, Strength of the lithosphere: Constraints imposed by laboratory measurements, Journal of Geophysical Research, 100(B9), 17587–17602, 1995.
Kronenberg, A. K. and J. Tullis, Flow strength of quartz aggregates: Grain size and pressure effects due to hydrolytic weakening, Journal of Geophysical Research, 89, 42981–42997, 1984.
Lyakhovsky, V., Scaling of fracture length and distributed damage, Geophysical Journal International, 144(1), 114–122, 2001.
Lyakhovsky, V., Y. Ben-Zion, and A. Agnon, Earthquake cycle, fault zones, and seismicity patterns in a rheologically layered lithosphere, Journal of Geophysical Research-Solid Earth, 106(B3), 4103–4120, 2001.
Meissner, R. and L. Brown, Seismic reflections from the Earths crust—comparative-studies of tectonic patterns, Geophysical Journal International, 105(1), 1–2, 1991.
Morra, G., K. Regenauer-Lieb, and D. Giardini, On the curvature of oceanic arcs, Nature, 2004 (submitted).
Ogawa, M., Shear instability in a viscoelastic material as the cause of deep focus earthquakes, Journal of Geophysical Research, 92(B1), 13801–13810, 1987.
Ord, A. and B. E. Hobbs, The strength of the continental crust, detatchment zones and the development of plastic instabilities, Tectonophysics, 158, 269–289, 1989.
Ord, A., B. E. Hobbs, and K. Regenauer-Lieb, A smeared seismicity constitutive model, Earth Planets Space, 56, this issue, 1121–1133, 2004.
Regenauer-Lieb, K. and D. Yuen, Rapid conversion of elastic energy into shear heating during incipient necking of the lithosphere, Geophysical Research Letters, 25(14), 2737–2740, 1998.
Regenauer-Lieb, K. and D. A. Yuen, Modeling shear zones in geological and planetary sciences: Solid- and fluid-thermal-mechanical approaches, Earth Science Reviews, 63, 295–349, 2003.
Regenauer-Lieb, K. and D. A. Yuen, Positive feedback of interacting ductile faults from coupling of equation of state, rheology and thermalmechanics, Physics of Earth and Planetary Interiors, 142(1-2), 113–135, 2004.
Regenauer-Lieb, K., D. Yuen, and J. Branlund, The initation of subduction: Criticality by addition of water?, Science, 294, 578–580, 2001.
Regenauer-Lieb, K., B. Hobbs, H. Mulhaus, A. Ord, D. A. Yuen, and S. Van der Lee, Lithosphere fault zones rejuvenated, Tectonophysics, 2004 (submitted).
Shawki, T. G., An energy criterion for the onset of shear localization in thermal viscoplastic material, Part I: Necessary and sufficient initiation conditions, Journal of Applied Mechanics, 61, 530–537, 1994.
Steif, P. S., On the initiation of necking modes in layered plastic solids, Journal of Applied Mechanics, 54, 141–146, 1987.
Yuen, D. A., L. Fleitout, G. Schubert, and C. Froidevaux, Shear deformation zones along major transform faults and subducting slabs, Geophysical Journal of the Royal Astronomical Society, 54(1), 93–119, 1978.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Regenauer-Lieb, K., Hobbs, B. & Ord, A. On the thermodynamics of listric faults. Earth Planet Sp 56, 1111–1120 (2004). https://doi.org/10.1186/BF03353330
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1186/BF03353330