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《Earth Science Frontiers》 2008-03
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Theory and practice of kinematic vorticity (W_k).

Zheng Yadong1, Wang Tao2, Zhang Jinjiang1 1.The Key Laboratory of Orogenic Belts and Crustal Evolution, Ministry of Education, China; School of Earth and Space Sciences, Peking University, Beijing 100871, China2.Institute of Geology, Chinese Academy of Geological Sciences, Beijing 100037, China  
In the case of a general shearing, the porphyroclasts can either rotate backwards or forwards towards the two eigenvectors or the flow apophyses (non-rotated orientations).The porphyroclasts with their aspect ratios above a specific value may become stationary at high strain as they rotate forward or backward into the stable limb of the hyperbola that takes one of the two eigenvectors as its asymptotic line.The porphyroclasts whose aspect ratios are less than the specific value are expected to rotate forwards indefinitely.The specific value is located at the hinge of the hyperbola, and the related shape factor called the critical shape factor (B*) or/and the cosine of the angle between the two eigenvectors is defined as the kinematic vorticity (Wk), which is important for quantifying the relative contributions of the pure shear and the simple shear in a ductile deformation zone.It is a dimensionless numerical measure, based on the ratio of the internal rotation (vorticity) to the rate of stretching strain.For general shear zones, Wk is measured on a scale between 0 and 1, with 0 being pure shear and 1 being simple shear.The Wk scale is not linear and at the midway between simple and pure shear Wk is 0.71.The kinematic vorticity (Wk) can be estimated by means of any of the following methods: calculating, plotting (such as the Passchier plot, Wallis plot, the Porphyroclast Hyperbolic Distribution (PHD) method and the rigid grain net (RGN)), polar Mohr constructions and ISA or σ1-orientation method.The combination of Wk analysis and finite strain measurements probably is the best way to estimate the contraction/thickening or extension/thinning of the crust in the study area.Since Wk is most likely changeable during a tectonic event, the features formed at different stages of a progressive deformation should be separately treated.
【Fund】: 国家自然科学基金资助项目(90714006 40572123)
【CateGory Index】: P542
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