摘要
地球化学变量兼有随机性、确定性和区域结构性的特征,传统的数学方法难以精确地描述地球化学变量的空间分布规律,而新兴的分形几何是刻画空间不规则形体的一种比较有效的工具,且分维值可以表征空间不规则形体的确定性本质。基于分形原理,提出含量-总量法、空间分形插值法和分形趋势面法3种新的分形技术,应用于区域化探数据处理。在几个典型矿区应用后发现,上述分形方法不仅可以有效地模拟地球化学变量的空间分布特征,而且在保留原始有效异常信息的基础上可以更合理地区分地球化学变量的背景与异常,具有发现和强化弱异常信息的重要功效。
Geochemical variables have the characteristics of randomness, determinacy and regional structure pattern, and it is hard to describe the spatial distribution pattern of geochemical variables using traditional mathematical methods. However, the new fractal geometry is an effective tool to depict the irregular shape in space and the fractal dimensions can represent the deterministic essence of the irregular shape of a space. So in light of the fractal principle, the authors present three new fractal methods applied in regional geochemical data processing, i.e. the content-sum method, space fractal interpolation method and fractal trend-surface method. Their applications in some typical ore districts show that these methods can not only simulate the distribution pattern of geochemical variables in a space effectively but also discriminate between the anomaly and background of geochemical variables reasonably on the basis of preservation of primary effective information. They have the function of finding and intensifying weak anomalies.
出处
《地质通报》
CAS
CSCD
北大核心
2004年第7期714-719,共6页
Geological Bulletin of China
基金
国家高技术研究发展计划项目(2001AA136020-1)
国家自然科学基金项目(40203006)
关键词
区域化探
数据处理
分形方法
regional geochemical survey
data processing
fractal method
