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Kinematics of the Greater Himalayan sequence, Dhaulagiri Himal ...

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Vannay & Hodges [1996]; Khumbu thrust, Searle [1999]), strain localization and contribution <strong>of</strong><br />

shear heating, or perhaps diachronous metamorphism and peak temperature that varies with<br />

structural position.<br />

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5. Vorticity<br />

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Vorticity is defined as <strong>the</strong> internal rotational component <strong>of</strong> flow and is equal to <strong>the</strong> mean<br />

angular velocity <strong>of</strong> material lines with respect to <strong>the</strong> instantaneous stretching axes (Passchier &<br />

Trouw 2005). Vorticity data are critical to understanding flow kinematics in ductily deformed<br />

rocks. In <strong>the</strong> <strong><strong>Himal</strong>ayan</strong> orogen recent vorticity studies have begun to empirically-constrain<br />

strain within <strong>the</strong> <strong>Greater</strong> <strong><strong>Himal</strong>ayan</strong> <strong>sequence</strong> and its bounding shear zones (Grasemann et al.<br />

1999; Law et al. 2004; Jessup et al. 2006; Carosi et al. 2006, 2007).<br />

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For plane strain conditions, as indicated by <strong>the</strong> dominance <strong>of</strong> type-I cross-girdled quartz<br />

c-axis fabrics, <strong>the</strong> relative proportions <strong>of</strong> pure shear and simple shear can be expressed in terms<br />

<strong>of</strong> <strong>the</strong> kinematic vorticity number W k , which relates instantaneous rotation to instantaneous<br />

stretching at a point (Bailey et al. 2004). For an entirely pure shear system W k = 0, while in<br />

simple shear W k = 1. The ratio <strong>of</strong> pure shear to simple shear is not a linear relationship; equal<br />

contributions <strong>of</strong> both are made to <strong>the</strong> instantaneous flow at W k = 0.71 (demonstrated by Law et<br />

al., 2004). In natural systems it is rarely possible to quantify rotation rates versus stretch in<br />

deformed rocks (Baily et al. 2004), <strong>the</strong>refore, vorticity <strong>of</strong> flow is more appropriately<br />

approximated by W m a mean vorticity number for plane strain deformation.<br />

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Vorticity <strong>of</strong> flow recorded in specimens collected from <strong>the</strong> lower-middle portion <strong>of</strong> <strong>the</strong><br />

<strong>Greater</strong> <strong><strong>Himal</strong>ayan</strong> <strong>sequence</strong> has been estimated using <strong>the</strong> Rigid Grain Net (RGN) <strong>of</strong> Jessup et<br />

al. (2007) and <strong>the</strong> method <strong>of</strong> Wallis (1992, 1995). Both methods require data collected within<br />

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