Scaling Properties of Feldspar and Quartz in Micro-images of Ideal Granites  

作　　者：徐德义 柯贤忠 谢淑云 成秋明 

机构地区：[1]State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences [2]School of Economics and Management, China University of Geosciences [3]Faculty of Earth Sciences, China University of Geosciences [4]Department of Earth and Space Science and Engineering, York University

出　　处：《Journal of China University of Geosciences》2008年第4期327-333,共7页中国地质大学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 40373003, 40502029, 40525009, 40638041);State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences (No. GPMR2007-23)

摘　　要：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 （房山） granite body in Hebei （河北） 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.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 （房山） granite body in Hebei （河北） 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.

关 键 词：fractal model EIGENVALUE GRANITE gray-scale matrix 

分 类 号：P619.23[天文地球—矿床学]