矿床储量规模分布的分形模型及其分维的数理分析  

Fractal model of the reserve-size distribution of ore deposits and themathematical analysis of its fractal dimension

作　　者：万丽[1] 邓军[1] 王庆飞[1] 高邦飞[1] 

机构地区：[1]中国地质大学地球科学与资源学院

出　　处：《华南地质与矿产》2005年第3期35-37,共3页Geology and Mineral Resources of South China

基　　金：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)

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。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.

关 键 词：矿床储量 规模分布 分形模型 分维 

分 类 号：P624.7[天文地球—地质矿产勘探]