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Quantitative structural analyses and numerical modelling of ...

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B10406SCHULMANN ET AL.: RHEOLOGY OF PARTIALLY MOLTEN GNEISSESB10406[18] Another important feature is the development <strong>of</strong> intragranular,wedge shaped fractures that are predominantlydeveloped in elongated feldspar grains with stronger SPOin samples T1 <strong>and</strong> T2 (Figure 8). These gently curvedfractures <strong>of</strong>ten originate at the foliation-parallel grain boundariesor triple point junctions, terminate in the interior <strong>of</strong> thegrains <strong>and</strong> are oriented at low angles (15–30°) to themaximum stretching. In Type III orthogneiss samples (e.g.,sample B2) the intragranular fractures occur as well beingoriented at high angle to the principal stretching direction.Figure 4. Type I microstructure (S1 sample). (a) Type Imetagranite marked by large alkaline feldspar clasts decomposedinto albite chains <strong>and</strong> K-feldspar <strong>and</strong> (b) scanningelectron microscope (SEM) image <strong>of</strong> alkaline feldspardecomposition. Rectangle indicates the position <strong>of</strong> the detailedSEM image. (c) The detail <strong>of</strong> the SEM image showing theshapes <strong>of</strong> new bulbous albite grains. (d) CorrespondingArcView Geographical Information Systems (GIS) image usedfor the quantitative miro<strong>structural</strong> analysis. Scanning electronmicroscope images obtained in backscattered electron mode(Camscan microscope, Institute <strong>of</strong> Petrology <strong>and</strong> StructuralGeology Prague). K-feldspar is represented in light gray,biotite is represented as white laths, quartz <strong>and</strong> plagioclase areshown in dark gray, <strong>and</strong> rectangular white mica laths areshown in light gray. In ArcView GIS images the K-feldspar isrepresented in white, white mica <strong>and</strong> biotite are represented inblack, plagioclase is represented in light gray, <strong>and</strong> quartz isrepresented in dark gray. The ArcView GeographicalInformation System was used as an ideal environment fordigitizing mineral shapes [Lexa et al., 2005]. Mineralabbreviations correspond to those <strong>of</strong> Kretz [1983].which corroborates the development <strong>of</strong> thin albite-quartzfilms along the feldspar faces oriented along two maximawith respect to the macroscopic layering (Figure 8). Themean orientation <strong>of</strong> the Pl2 <strong>and</strong> quartz seams form an angle<strong>of</strong> 10–15° with respect to the foliation trace. Interstitialconvex quartz grains <strong>of</strong>ten occur at triple point junctionsbut locally line the feldspar boundaries as narrow films(Figures 6c <strong>and</strong> 6d).[17] The presence <strong>of</strong> interstitial phases is the most pronouncedin Type III orthogneiss (samples R3, V1 <strong>and</strong> B2 inparticular) where the recrystallized feldspar grains exhibitno shape preferred orientation. Here, wider cuspate-lobatepools <strong>and</strong> narrow films <strong>of</strong> Pl2 <strong>and</strong> quartz occur at a highangle to the macroscopic foliation. The B2 sample shows anextreme orientation <strong>of</strong> Pl2 seams which form an angle <strong>of</strong> upto 70° with the foliation trace.5. <strong>Quantitative</strong> Textural Analysis[19] The quantitative analysis <strong>of</strong> grain shapes <strong>and</strong> boundarieswas carried out in an ArcView GIS environment.Examples <strong>of</strong> analyzed samples are shown in Figures 4d,6d, <strong>and</strong> 7d. The statistical parameters involving grains sizedistributions, shape preferred orientation, degree <strong>of</strong> grainelongation <strong>and</strong> grain contact frequencies were performedusing the MATLAB PolyLX toolbox [Lexa et al., 2005] inorder to quantify the above described micro<strong>structural</strong> sequence<strong>of</strong> rock types. The grain size distribution wasevaluated as an important parameter in deformed rocksbecause <strong>of</strong> its sensitivity to stress <strong>and</strong> temperature [Schmidet al., 1999]. The correct determination <strong>of</strong> grain size isessential in polyphase systems, where stress <strong>and</strong> strain ratepartitioning are expected [H<strong>and</strong>y, 1990]. Another importantparameter is the shape <strong>of</strong> recrystallized grains, which isstrongly dependent on the type <strong>of</strong> deformation mechanisms<strong>and</strong> grain growth history [Boullier <strong>and</strong> Guéguen, 1975;Schmid et al., 1987]. Grain contact distribution in the rockyields information about the evolution <strong>of</strong> spatial distribution<strong>of</strong> the different minerals in rocks with deformation ormelting [Lexa et al., 2005; Hasalová etal., 2008]. This isexpressed by the grain contact frequency (GCF) that statisticallyquantifies the deviation <strong>of</strong> the grain contact distributionfrom r<strong>and</strong>om [Kretz, 1969]. The aggregate distribution,marked by the dominant presence <strong>of</strong> like-like contacts,represents one end-member <strong>of</strong> the spatial distribution <strong>of</strong>grain boundaries that is resulting from the solid statedifferentiation process [McLellan, 1983]. The regular distributionis characterized by the predominance <strong>of</strong> unlikecontacts in rock <strong>and</strong> is considered as a second end-memberFigure 5. Ternary diagrams showing the composition <strong>of</strong>feldspars in different samples. Pl1 corresponds to isolatedplagioclase aggregate (see text for explanation).6<strong>of</strong>20300

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