非线性成矿预测理论: 多重分形奇异性-广义自相似性-分形谱系模型与方法

成秋明

非线性成矿预测理论: 多重分形奇异性-广义自相似性-分形谱系模型与方法

成秋明^{1, 2,}

1.
中国地质大学地质过程与矿产资源国家重点实验室, 湖北武汉 430074
2.
加拿大约克大学地球空间科学工程系和地理系, 多伦多 M3J1P3

基金项目:

国家杰出青年科学基金项目 40525009

详细信息

作者简介:
成秋明(1960-), 男, 教授, 中国地质大学教育部长江学者特聘教授, 主要从事矿产普查与勘探、数学地质、地理信息系统、矿产资源评价的教学和研究. E-mail:qiuming@yorku.ca

中图分类号: P628
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出版历程
- 收稿日期: 2006-03-08
- 刊出日期: 2006-05-25

Singularity-Generalized Self-Similarity-Fractal Spectrum (3S) Models

CHENG Qiu-ming^{1, 2
,}

1.
State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan 430074, China
2.
Department of Earth and Space Science and Engineering, Department of Geography, York University, Toronto M3J1P3, Canada

摘要

摘要: 介绍了“奇异性-广义自相似性-分形谱系”(“3S”: Singularity-generalized self-Similarity-fractal Spectrum)为核心的多重分形现代成矿预测理论与模型(Multifractal Mineralization Prediction Theory and Models)的基本内容和前沿研究方向.讨论了作为非线性、复杂性理论的重要领域之一, 多重分形理论所提供的“奇异性-广义自相似性-分形谱系”等概念和相关的模型.这些新概念和模型不仅能够合理地描述成矿系统、成矿过程、成矿富集规律、矿产资源时空分布, 还提供了定量模拟和识别成矿异常(地质、地球物理、地球化学、遥感异常)的有效模型和实用方法.将多重分形原理与成矿过程、矿产资源分布规律、矿产资源信息获取研究相结合, 可形成具有良好应用前景的现代成矿预测理论与模型.采用该多重分形矿产资源预测理论和在此基础上所开发的专用地学非线性空间信息GeoDASGIS技术, 对国内外多个金属成矿区带进行了矿产资源勘查与评价, 均取得了较理想的预测效果, 表明对开展矿产资源勘查和评价是有效和可行的.
- 非线性矿床模型 /
- 多重分形成矿预测 /
- 广义自相似性理论 /
- 奇异分析 /
- 分形谱系 /
- 金属矿产 /
- GeoDAS GIS技术 /
- 矿产资源评价
Abstract: This paper introduces a new framework of mineral resource assessment according to the principle of multifractal modeling, particularly, Singularity, Generalized Self-Similarity and Fractal Spectrum (3S). It has been demonstrated that the concepts and models relevant to multifractal theory are useful not only for characterizing the fundamental properties of non-linearity of the mineralization processes, the singular distribution of mineral deposits and ore element concentrations in mineral districts, but also for singularity analysis and anomaly delineation. The theory can explain many properties of mineralization and spatial-temporal distribution spectra of mineral deposits such as mineral aggregation, singular distribution of element concentration, multifractal tonnage-grade model, fractal growth of minerals, and self-organized processes. Integrating multifractal principals, mineralization processes, distribution of mineral deposits, and resource assessment have resulted in an effective new approach for mapping mineral resources and modeling mineral targets. Together with the advanced GeoDAS GIS technology it serves as a novel principal methodology and technology for mineral resource assessment.
- non-linear mineral deposit model /
- multifractal mineralization prediction /
- generalized self-similarity /
- singularity /
- fractal spectrum /
- metal mineral resources /
- GeoDAS GIS technology /
- mineral resource assessment

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图 1 多重分形“3S”非线性矿产资源定量预测理论体系框架

Fig. 1. Framework of the multifractal"3S''non-linear mineral resource assessment theory

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