Viscous dissipation pattern in incompressible Newtonian simple shear zones: An analytical model

International Journal of Earth Sciences

Volumn 102, Issue 4, 2013, Pages 1165-1170

  Mukherjee, Soumyajit ^a   Mulchrone, Kieran F ^b  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

^b UNIVERSITY COLLEGE CORK   (Ireland)

Author keywords

Newtonian fluid; Poiseuille flow; Simple shear; Viscous dissipation

Indexed keywords

COUETTE FLOW; DISSIPATION; HEATING; NEWTONIAN FLUID; NUMERICAL MODEL; PRESSURE GRADIENT; RHEOLOGY; SHEAR ZONE; SLIP RATE; SUBDUCTION; TEMPERATURE PROFILE; THERMAL CONDUCTIVITY;

EID: 84878110464     PISSN: 14373254     EISSN: 14373262     Source Type: Journal    
DOI: 10.1007/s00531-013-0879-3     Document Type: Article

References (56)

1. Ben-Zion Y, Sammis CG (2013) Shear heating during distributed fracturing and pulverization of rocks. Geol 41: 139-142.
2. Blenkinsop TG (2000) Deformation microstructures and mechanisms in minerals and rocks. Springer, Berlin.
3. Brewer J (1981) Thermal effects of thrust faulting. Earth Planet Sci Lett 56: 233-244.
4. Brun JP, Cobbold PR (1980) Strain heating and thermal softening in continental shear zones: a review. J Struct Geol 2: 149-158.
5. Bruthans J, Fillipi M, Geršl M et al (2006) Holocene marine terraces on two salt diapirs in the Persian Gulf, Iran: age, depositional history and uplift rates. J Quat Sci 21: 843-57.
6. Burg J-P, Gerya T (2005) The role of viscous heating in Barrovian metamorphism of collisional orogens: thermomechanical models and application to the Lepontine Dome in the Central Alps. J Metamorph Geol 23: 75-95.
7. Burg J-P, Schmalholz SM (2008) Viscous heating allows thrusting to overcome crustal-scale buckling: Numerical investigation with application to the Himalayan syntaxes. Earth Planet Sci Lett 274: 189-203.
8. Camacho A, McDougall I, Armstrong R et al (2001) Evidence of shear heating, Musgrave Block, central Australia. J Struct Geol 23: 1007-1013.
9. Clark C, Fitzsimons ICW, Healy D et al (2011) How Does the Continental Crust Gets Really Hot?. Elements 7: 235-240.
10. Fleitout L, Froideavaux C (1980) Thermal and mechanical evolution of shear zones. J Struct Geol 2: 159-164.
11. Gerya T, Stöckhert B (2006) Two-dimensional numerical modeling of tectonic and metamorphic histories at active continental margins. Int J Earth Sci 95: 250-274.
12. Graham CM, England PC (1976) Thermal regimes and regional metamorphism in the vicinity of overthrust faults: an example of shear heating and inverted metamorphic zonation from southern California. Earth Planet Sci Lett 31: 142-152.
13. Harris N, Vance D, Ayres M (2000) From sediment to granite: timescales of anatexis in the upper crust. Chem Geol 162: 155-167.
14. Hobbs BE, Ord A, Regenauer-Lieb K (2011) The thermodynamics of deformed metamorphic rocks: a review. J Struct Geol 33: 758-818.
15. Hochstein MP, Regenauer-Lieb K (1998) Heat generation associated with collision of two plates: the Himalayan geothermal belt. J Volcanol Geotherm Res 83: 75-92.
16. Johnson MRW, Harley SL (2012) Orogenesis: the making of mountains. Cambridge University Press, Cambridge, pp 1-388.
17. Keleman PB, Hirth G (2007) A periodic shear-heating mechanism for intermediate-depth earthquakes in the mantle. Nature 446: 787-790.
18. Kellett DA, Grujic D, Warren C et al (2010) Metamorphic history 490 of a syn-convergent orogen parallel detachment: the South Tibetan detachment system, Bhutan Himalaya. J Metamorph Geol 28: 785-808.
19. Koyi H, Schmeling H, Burchardt S et al (2013) Shear zones between rock units with no relative movement. J Struct Geol (in press).
20. Lautrup B (2011) Physics of continuous matter, 2nd edn. Taylor & Francis, UK, p 262.
21. Leloup PH, Ricard Y, Battaglia J et al (1999) Shear heating in continental strike-slip shear zones: model and field examples. Geophys J Int 136: 19-40.
22. Molnar P, England P (1990) Late Cenozoic Uplift of mountain ranges and global climate change: chicken or egg?. Nature 346: 29-34.
23. Montési LGJ (2013) Fabric development as the key for forming ductile shear zones and enabling plate tectonics. J Struct Geol (in press).
24. Montomoli C, Carosi R, Visonà D (2013) The south Tibetan detachment system: thermal and mechanical transition from deeper to upper structural levels. Geophys Res Abstr 15: EGU2013-6589 (European Geosciences Union General Assembly).
25. Mukherjee S (2005) Channel flow, ductile extrusion and exhumation of lower-middle crust in continental collision zones. Curr Sci 89: 435-436.
26. Mukherjee S (2007) Geodynamics, deformation and mathematical analysis of metamorphic belts of the NW Himalaya. Unpublished Ph. D. thesis. Indian Institute of Technology Roorkee, India, p 1-267.
27. Mukherjee S (2010a) Structures at Meso- and Micro-scales in the Sutlej section of the Higher Himalayan Shear Zone in Himalaya. e-Terra 7: 1-27.
28. Mukherjee S (2010b) Microstructures of the Zanskar Shear Zone. Earth Sci India 3: 9-27.
29. Mukherjee S (2011a) Mineral fish: their morphological classification, usefulness and shear sense indicators and genesis. Int J Earth Sci 100: 1303-1314.
30. Mukherjee S (2011b) Flanking microstructures of the Zanskar Shear Zone, western Indian Himalaya. YES Bull 1: 21-29.
31. Mukherjee S (2012a) Tectonic Implications and Morphology of Trapezoidal Mica Grains from the Sutlej section of the Higher Himalayan Shear Zone, Indian Himalaya. J Geol 120: 575-590.
32. Mukherjee S (2012b) Simple shear is not so simple! Kinematics and shear senses in Newtonian viscous simple shear zones. Geol Mag 149: 819-826.
33. Mukherjee S (2012c) Kinematics of "top-to-down" simple shear model in a Newtonian viscous rheology. J Indian Geophys Union (in press).
34. Mukherjee S (2012d) Channel flow extrusion model to constrain dynamic viscosity and Prandtl number of the Higher Himalayan Shear Zone. Int J Earth Sci (in press).
35. Mukherjee S (2013a) Higher Himalaya in the Bhagirathi section (NW Himalaya, India): its structures, backthrusts and extrusion mechanism by both channel flow and critical taper mechanisms. Int J Earth Sci (in press).
36. Mukherjee S (2013b) Deformation Microstructures in Rocks. Springer, New York (in press).
37. Mukherjee S, Koyi HA (2009) Flanking microstructures. Geol Mag 146: 517-526.
38. Mukherjee S, Koyi HA (2010a) Higher Himalayan Shear Zone, Sutlej section: structural geology and extrusion mechanism by various combinations of simple shear, pure shear and channel flow in shifting modes. Int J Earth Sci 99: 1267-1303.
39. Mukherjee S, Koyi HA (2010b) Higher Himalayan Shear Zone, Zanskar Indian Himalaya- microstructural studies & extrusion mechanism by a combination of simple shear and channel flow. Int J Earth Sci 99: 1083-1110.
40. Mukherjee S, Mulchrone KF (2012) Estimating the Viscosity of the Tso Morari Gneiss Dome, western Indian Himalaya. Int J Earth Sci 101: 1929-1947.
41. Mukherjee S, Koyi HA, Talbot CJ (2012) Implications of channel flow analogue models for extrusion of the Higher Himalayan Shear Zone with special reference to the out-ofsequence thrusting. Int J Earth Sci 101: 253-272.
42. Mukherjee S, Talbot CJ, Koyi HA (2010) Viscosity estimates of salt in the Hormuz and Namakdan salt diapirs, Persian Gulf. Geol Mag 147: 497-507.
43. Mulchrone KF (2004) Discussion on "Flattening in shear zones under constant volume: a theoretical evaluation" by N. Mandal, C. Chakraborty and S. Samanta. [J Struct Geol 23: 1771-1780]. J Struct Geol 26: 197-200.
44. Nabelek PI, Hofmeister AM, Whittington AG (2011) The influence of temperature-dependent thermal diffusivity on the conductive cooling rates of plutons and temperature-time paths in contact aureoles. Earth Planet Sci Lett 317(318): 157-164.
45. Nabelek PI, Liu M (1999) Leucogranites in the Black Hills of South Dakota: the consequence of shear heating during continental collision. Geology 27: 523-526.
46. Nabelek PI, Liu M (2004) Petrologic and thermal constraints on the origin of leucogranites in collisional orogens. Tran R Soc Edinb Earth Sci 95: 73-85.
47. Nabelek PI, Whittington AG, Hofmeister AM (2010) Strain heating as a mechanism for partial melting and ultrahigh temperature metamorphism in convergent orogens: Implications of temperature dependent thermal diffusivity and rheology. J Geophys Res 115: B12417.
48. Rivers T (2009) The Grenville province as a large hot long-duration collisional orogen-insights from the spatial and thermal evolution of its orogenic fronts. In: Murphy JB, Keppie JD, Hynes AJ (eds.) Ancient orogens and modern analogues. Geol Soc Lond Spec Publ 327: 405-444.
49. Souche A (Internet reference) The thermal evolution in sedimentary basins above large shear zones and detachments-Biannual report VISTA 2011. http://www. vista. no/binfil/download. php?tid=49993 (Accessedon 03 Jan 2012).
50. Regenauer-lieb K, Yuen DA (2003) Modeling shear zones in geological and planetary sciences: solid- and fluid-thermal-mechanical approaches. Earth Sci Rev 63: 295-349.
51. Seyfert CK (1987) Plate Tectonics, Mantle Plumes, and the Generation of Magmas. In: Seyfert CK (Ed.) Encyclopedia of structural geology and tectonics. Von Nostrand Reinhold Company. New York, pp 560-634 (Encyclopedia of Earth Sciences 10).
52. Starin L, Yuen DA, Bergeron SY (2000) Thermal evolution of sedimentary basin formation with variable thermal conductivity. Geophys Res Lett 27: 265-268.
53. Turcotte DL, Schubert G (2006) Geodynamics, 2nd ed. Cambridge University Press, Cambridge, pp 283-285.
54. Vauchez A, Tommasi A, Mainprice D (2012) Faults (shear zones) in the Earth's mantle. Tectonophysics 558(559): 1-27.
55. Xypolias P (2010) Vorticity analysis in shear zones: a review of methods and applications. J Struct Geol 32: 2072-2092.
56. Yin A (2006) Cenozoic tectonic evolution of the Himalayan orogen as constrained by along-strike variation of structural geometry, exhumation history, and foreland sedimentation. Earth Sci Rev 76: 1-131.