基于累积量的矿产资源评价中的多重分形建模

资源与产业 ›› 2010, Vol. 12 ›› Issue (S1): 51-56.

基于累积量的矿产资源评价中的多重分形建模

高歆

（中国地质大学地球科学与资源学院，北京 100083）

收稿日期:2010-03-24 修回日期:2010-05-06 出版日期:2010-06-20 发布日期:2010-06-20
作者简介:高歆（1981— ）,男，博士生，主要从事地学信息处理研究。E-mail:gxin826@126.com

MULTIFRACTAL MODELLING DURING MINERAL RESOURCESEVALUATION BASED ON CUMULATIVE QUANTITIES

GAO Xin

(School of the Earth Sciences and Resources, China University of Geosciences, Beijing 100083, China)

Received:2010-03-24 Revised:2010-05-06 Online:2010-06-20 Published:2010-06-20

摘要/Abstract

摘要：

从非线性科学在矿产资源中的勘察、评价、异常识别等应用角度出发，尤其是多重分形理论的应用，本文引入一种新的多重分形谱估计方法——累积量估计。鉴于对数正态和对数泊松分布在矿产资源勘察中的重要地位，本文首先通过对数正态(LogNormal Multiplicative Cascade Process，CMCLN)和对数泊松(LogPoisson Multiplicative Cascade Process, CMCLP)多重级联过程模拟数据验证，其次针对云南个旧锡矿区Cu、Pb水系沉积物元素富集值的分布进行多重分形分析，结果表明，对应于均值周围的谱段累积量估计给出了精确且稳定的估计，基本可以满足一般的地学信息处理要求。

关键词: 对数正态多重级联过程, 对数泊松多重级联过程, 累积量估计

Abstract:

This paper, based on the application of non-linear science, specially the multifractal theory, in exploration, evaluation and telling anomalies of mineral resources, adopts a new method multifractal spectrum estimation on cumulative quantities to verify the lognormal multiplicative cascade process (CMC-LN) and the log-poisson multiplicative cascade process (CMC-LP), which play an important part in minerals exploration, calculates the Cu and Pb elements enrichments in the stream sediments in Gejia Tin mine district, Yunnan province. The results return a precise and stable estimation of spectrum cumulative quantities around the mean values. The method can meet the requirements of geological information processing.

Key words: Log-Normal Multiplicative Cascade Process (CMC-LN), Log-Poisson Multiplicative Cascade Process(CMC-LP), cumulative analysis

中图分类号:

P964

高歆. 基于累积量的矿产资源评价中的多重分形建模[J]. 资源与产业, 2010, 12(S1): 51-56.

GAO Xin. MULTIFRACTAL MODELLING DURING MINERAL RESOURCESEVALUATION BASED ON CUMULATIVE QUANTITIES[J]. Resources & Industries, 2010, 12(S1): 51-56.

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