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Quantitative structural analyses and numerical modelling of ...

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1. <strong>Quantitative</strong> analysis <strong>of</strong> deformation structures <strong>and</strong> their <strong>numerical</strong> <strong>modelling</strong> 13Some models <strong>of</strong> viscous deformation <strong>of</strong> thin plates show the characteristic deformationgradient, which is generally difficult to identify. Are we able to recognise sucha gradient within anisotropic rock masses? And what is the effect <strong>of</strong> lateral temperaturegradient on deformation <strong>of</strong> the crust? We have tried to answer those interestingquestions in the paper Baratoux et al. (2005b), where we observed <strong>structural</strong> variationsin shape <strong>and</strong> flattening <strong>of</strong> mesoscopic folds across 40 km long section (Fig. 1.7). Thispr<strong>of</strong>ile was characterized by buckle <strong>and</strong> chevron folds in the east, flattened buckle foldsin the centre <strong>and</strong> flow folds in the west. <strong>Quantitative</strong> analysis <strong>of</strong> fold shape in terms<strong>of</strong> Fourier harmonic analysis method <strong>and</strong> the Ramsay’s method <strong>of</strong> dip isogons pointedto systematic decay in degree <strong>of</strong> mechanical anisotropy from east to west. This trendwas correlated with PolyLX <strong>analyses</strong> <strong>of</strong> microstructures <strong>of</strong> amphibolites, which revealexistence <strong>of</strong> gradient in shape anisotropy on grain scale. This detailed quantitative workconcludes that the character <strong>of</strong> folding is directly controlled by degree <strong>of</strong> anisotropy <strong>of</strong>microstructure, so that the grain shape anisotropy governed mechanical properties <strong>of</strong>folded macroscopic layers. In another words, lateral variations in fold style correlatewith lateral variations in the mechanical anisotropy which reflect metamorphic zonalityi.e. thermal history <strong>of</strong> previous tectonometamorphic event.1.1 Perspectives <strong>of</strong> <strong>numerical</strong> <strong>modelling</strong> <strong>of</strong> deformation ingeologyUse <strong>of</strong> <strong>numerical</strong> <strong>modelling</strong> in <strong>structural</strong> geology introduced new possibilities especiallyin the area <strong>of</strong> deformation overprints. The range <strong>of</strong> deformation structures, which aretraditionally explained as the result <strong>of</strong> “magic” deformation partitioning into zones <strong>of</strong>pure shear (prolate <strong>and</strong> oblate) <strong>and</strong> simple shear dominated deformation can not explainfabric variations encountered in orogens. This concerns the problem <strong>of</strong> strain compatibility<strong>and</strong> second the problem <strong>of</strong> significance <strong>of</strong> deformation intensities. Therefore wedecided to elaborate methods to quantify <strong>and</strong> <strong>numerical</strong>ly simulate these deformationprocesses (e.g. Kratinová et al., 2010). For example, long-st<strong>and</strong>ing study <strong>of</strong> Třebíč syenitemassif led us to conclude is that the magma body suffered multiple deformationsduring magmatic stage, which led to the distinctive variance <strong>of</strong> the magmatic fabricsthat are not explainable in terms <strong>of</strong> st<strong>and</strong>ard approaches (Lexa et al., in prep.). OurAMS study shows that northern part <strong>of</strong> the body exhibit NW-SE trending lineation accompaniedwith oblate shape <strong>of</strong> AMS ellipsoid, while the southern part is characterizedby NE-SW trending lineation <strong>and</strong> prolate shape <strong>of</strong> AMS ellipsoid (Fig. 1.9).Our <strong>numerical</strong> <strong>modelling</strong> revealed that the variance in the symmetry <strong>and</strong> direction <strong>of</strong>lineations could be successfully explained by the superposition <strong>of</strong> horizontal flow (within

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