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Scaling Properties of Feldspar and Quartz in Micro-images of Ideal Granites |
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| Authors: | Xu Deyi Ke Xianzhong Xie Shuyun Cheng Qiuming |
| Institution: | 1. State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, China; School of Economics and Management, China University of Geosciences, Wuhan 430074, China 2. State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, China; Faculty of Earth Sciences, China University of Geosciences, Wuhan 430074, China 3. State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, China; Faculty of Earth Sciences, China University of Geosciences, Wuhan 430074, China; Department of Earth and Space Science and Engineering,York University,Toronto ON M3J1P3,Canada 4. State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences,Wuhan 430074, China; Department of Earth and Space Science and Engineering, York University,Toronto ON M3J1P3, Canada |
| Abstract: | The properties of feldspar and quartze are studied in this article from a fractal point of view using gray-scale micro-images of granite samples collected at the Fangshan granite body in Hebei Province, China, which can be regarded as an ideal granite in the sense of Vistelius. We found that there exist power-law relationships between the eigenvalues of the gray-scale matrices and their ranks for the feldspar and quartz. The fractal model used here is a λ-R model similar to the N-λ model proposed by Qiuming Cheng in 2005. Meanwhile, we found that average variances for the gray-scale matrices of feldspar are larger than those of quartz on the same sections, and this may be useful for auto-identification of feldspar and quartz as well as other minerals. |
| Keywords: | fractal model eigenvalue granite gray-scale matrix |
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