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Kinematics and shear heat pattern of ductile simple shear zones with ‘slip boundary condition’

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Abstract

Extrusion by Poiseuille flow and simple shear of hot lower crust has been deciphered from large hot orogens, and partial-slip boundary condition has been encountered in analogue models. Shear heat and velocity profiles are deduced from a simplified form of Navier–Stokes equation for simple shear together with extrusive Poiseuille flow and slip boundary condition for Newtonian viscous rheology. A higher velocity at the upper boundary of the shear zone promotes higher slip velocity at the lower boundary. The other parameters that affect the slip are viscosity and thickness of the shear zone and the resultant pressure gradient that drives extrusion. In the partial-slip case, depending on flow parameters (resultant pressure gradient, density and viscosity) and thickness of the shear zone, the velocity profiles can curve and indicate opposite shear senses. The corresponding shear heat profiles can indicate temperature maximum inside shear zones near either boundaries of the shear zone, or equidistant from them.

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Acknowledgments

S.M. thanks Department of Science and Technology (New Delhi) Young Scientist Project grant number: SR/FTP/ES/117/2009 for support. Christoph Schrank (Queensland University of Technology Brisbane) and Gretchen Baier (Dow Chemical Company) are thanked for reviewing. Editorial handling by Karel Schulman (Université de Strasbourg), Wolf-Christian Dullo (GeoMar) and Monika Dullo is acknowledged.

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Authors and Affiliations

  1. Department of Applied Mathematics, School of Mathematical Sciences, University College, Cork, Ireland

    Kieran F. Mulchrone

  2. Department of Earth Sciences, Indian Institute of Technology Bombay, Powai, Mumbai, 400 076, Maharashtra, India

    Soumyajit Mukherjee

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  1. Kieran F. Mulchrone
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Correspondence to Soumyajit Mukherjee.

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Mulchrone, K.F., Mukherjee, S. Kinematics and shear heat pattern of ductile simple shear zones with ‘slip boundary condition’. Int J Earth Sci (Geol Rundsch) 105, 1015–1020 (2016). https://doi.org/10.1007/s00531-015-1206-y

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  • DOI: https://doi.org/10.1007/s00531-015-1206-y

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