Fractal analysis of quartz grain boundary in the gneissic granite of Abadchi, North of Shahrekord

The granitic gneisses of Abadchi village is located in the North of Zayandeh-Rud dam, where the area is a part of Sanandaj-Sirjan Zone. The mineralogical composition of the rocks is composed of quartz, plagioclase, K-feldspar, biotite, amphibole, muscovite, zircon, titanite and allanite. Quartz crystals, as the most abundant mineral constituents of these rocks, display the different conditions of deformation dynamic on the studied rocks according to their texture. Moreover, quartz crystals show evidence of bulging recrystallization (BLG), sub grain rotation (SGR) and grain boundary migration (GBM). The deformation of quartz crystals depends on the temperature and strain-rate that by using T/strain- rate diagram can determine the deformation conditions. Therefore, the fractal dimension at quartz grain boundary is between 1.23 and 1.11 and temperatures between 250-400 °C and 500 -750 °C in the granitic gneisses. Using fractal dimension and calculation of temperature, the strain rates are measured 10-11.6 to 10-6.6for the four domain of granitic gneiss sample. The results obtained from the diagram are consistent with the deformation evidence of quartz crystals (GBM, SGR, BLG).