| 矿床储量规模分布的分形模型及其分维的数理分析 |
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| 引用本文： | 万丽, 邓军, 王庆飞, 高邦飞. 矿床储量规模分布的分形模型及其分维的数理分析[J]. 华南地质, 2005, (3): 35-37. doi: 10.3969/j.issn.1007-3701.2005.03.007 |
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| 作者姓名： | 万丽 邓军 王庆飞 高邦飞 |
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| 作者单位： | 中国地质大学地球科学与资源学院,北京 100083;广州大学数学与信息科学学院,广州,510405;; 中国地质大学地球科学与资源学院,北京 100083;; 中国地质大学地球科学与资源学院,北京 100083;; 中国地质大学地球科学与资源学院,北京 100083 |
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| 基金项目： | 教育部科学技术研究重点项目（01037和03678）;国家自然科学基金重点项目（40172036）. |
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| 摘 要： | 矿床储量规模预测在矿产勘查和评价中占有十分重要的位置,而其预测的最主要手段是建立矿床储量规模分布的数学模型.根据矿床储量的统计自相似性,应用概率统计方法建立了矿床储量规模的分形模型.同时,通过模型及其分维值的数理分析,得出不同分维值的地学解释,讨论了分维的线性与非线性最小二乘回归估计法.
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| 关 键 词： | 矿床储量 规模分布 分形模型 分维 |
| 文章编号： | 1007-3701（2005）03-0035-03 |
| 收稿时间： | 2005-01-25 |
| 修稿时间： | 2005-01-25 |
Fractal model of the reserve-size distribution of ore deposits and the mathematical analysis of its fractal dimension |
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| WAN Li, DENG Jun, WANG Qing-fei, GAO Bang-fei. Fractal model of the reserve-size distribution of ore deposits and the mathematical analysis of its fractal dimension[J]. South China Geology, 2005, (3): 35-37. doi: 10.3969/j.issn.1007-3701.2005.03.007 |
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| Authors: | WAN Li DENG Jun WANG Qing-fei GAO Bang-fei |
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| Abstract: | It is main mean to establish mathematical models of distribution in the prediction of reserve-size of ore deposits, which is important in prospecting and evaluation of mineral resources. Based on statistical self-similarity of reserves of ore deposits and applying the methods of probability and statistics, a fractal model of reserve-size was established. The geological explanation of different fractal dimensions was presented via mathematical analyses. Two methods of estimation for fractal dimension, linear and non-linear least-squares regression estimation, were discussed. |
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| Keywords: | reserves of ore deposits distribution of reserve size fractal model fractal dimension |
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