地质现象分形统计研究的某些进展和发展趋势  

Progress and Trends in Fractal Statistics of Geological Phenomena

作　　者：王喜生[1] 

机构地区：[1]挪威卑尔根大学固体地球物理系

出　　处：《地质论评》2000年第z1期356-363,共8页Geological Review

摘　　要：笔者系统总结了地质现象的分形统计研究中几方面的最新研究成果:①矿石品位和储量的分形结构性及其分形模型的理论和实际意义;②分形在矿产资源定量预测与评价中的应用;③多重分形模型应用到空间数据和空间点的变化性研究,把分形与地质统计学结合在一起,得到一些有用的公式;④地质数据的分形插值与成图,指出"分数布朗场模型"可提高地质数据分形插值的精度;⑤分形结构因子等。最后对地质现象分形统计研究提出几点建议。The progress in fractal statistics of geological phenomena in recent years is summarized systematically as follows:(1) fractal structure characteristics between tenor and reserves of ores,as well as the importance of the fractal model;(2) the application of fractal geometry to quantitative mineral resources estimation and assessment;(3) the application of multifractal to spatial point processes and spatial data statistics;some equations are introduced to describe the power-law relations based on multifractal modeling;(4) fractal interpolation and graphing of geoscientific data;and it points out that 'local fractional Brownian filed' can improve the precision of fractal interpolation significantly;(5) fractal structure factor.And last,some suggestions are given for future investigations of fractal statistics of geological phenomena.

关 键 词：品位和储量 多重分形模型 分数布朗场 分形结构因子 

分 类 号：P628.1[天文地球—地质矿产勘探]