Fractal models for estimating local reserves with different mineralization qualities and spatial variations |
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| Authors: | Qingfei Wang Jun Deng Huan Liu Yanru Wang Xiang Sun Li Wan |
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| Institution: | 1. State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Beijing 100083, People''s Republic of China;2. Key Laboratory of Lithosphere Tectonics and Lithoprobing Technology of Ministry of Education, China University of Geosciences, Beijing 100083, People''s Republic of China;3. School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, People''s Republic of China |
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| Abstract: | The concentration-area model, one of the widely applied fractal models, is utilized to describe the spatial distribution of mineralization variables, i.e., orebody thickness and grade-thickness. And based on the concentration-area model, a new fractal model for reserve estimation (abbreviated as FMRE-CA) is established. Via the demarcation values obtained in the concentration-area model, the orebody is spatially divided into several parts with different value ranges and spatial variation of mineralization variable. Based on the FMRE-CA, the local ore reserves in the parts are estimated, and the global reserve is obtained by addition of the local reserves. In the FMRE-CA, the spatial variation of the mineralization variable in a local reserve is characterized by a fractal dimension, and a greater fractal dimension denotes a more variation. Compared to traditional reserve estimations based on discrete and linear functions, the FMRE-CA is established via continuous and nonlinear function, and it is easier in calculation process and different in the way in which the local reserves are delimitated. Compared to another fractal model for reserve estimation based on number-size model (abbreviated as FMRE-NS), the FMRE-CA is capable of estimating the local reserves. A gold orebody in Southwest Yunnan and two bauxite orebodies in Western Guangxi, China, are selected for case study. In the case study, the global reserve calculated via the FMRE-CA and those derived from the FMRE-NS and traditional geometric block method are analogous. |
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| Keywords: | Ore reserve Concentration-area model Fractal |
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