摘要
矿床的空间分布规律对地质勘查和找矿工作具有指导作用,三江南段地区是我国重要的多金属成矿区带,因此在该地区使用现代数学理论来研究矿床的空间分布规律具有重要意义。本文在深入研究三江南段地区银铅锌成矿机理、成矿地质背景以及数盒子法(Box-counting method)的基础上采用近年来广泛使用的关联维数来研究该地区银铅锌矿床的空间分布规律。首先借助G IS技术量测了13个银铅锌矿床之间的距离,用不同的标度r及其对应的关联函数C(r)得到一点对序列(r,C(r)),然后通过在平面坐标下作出(lnr,lnC(r))的散点图,使用最小二乘法拟合直线来估算关联维数,整体拟合得到的关联维数D=0.875;分段拟合得到的关联维数D1=0.184、D2=1.00。研究结果表明三江南段地区的银铅锌矿床在空间上具有分形丛集分布的特征。依据本次研究,将该地区划分为三个银铅锌矿密集区,并就该地区找矿工作提出指导意见,同时也探讨了关联维数与盒子维数的差异。
Spatial distribution regularity of ore deposits has guiding function for the geological survey and prospecting work.The modern mathematical methods are used for studying spatial relationship of ore deposits in southern Sanjiang area which is an important polymetallic metallogenic belt in China.The geological background and genesis of Pb-Zn-Ag deposits are deeply researched first,and then method of correlation dimension which is based on Box-counting method is used for spatial distribution regularity research of those deposits.The distance among 13 Ag-Pb-Zn deposits are measured using GIS technology,and the different scales r and its correlation function are used to get the sequence（r,C（r））,then those data are used to draw the scatter diagram of（lnr,lnC（r）） in plane coordinate.Correlation dimension D = 0.875 is acquired on the scatter diagram by using least squares fitting method,however,sub-fitting correlation dimensions are D1 = 0.184,D2 =1.00,respectively.The results indicate that the Ag-Pb-Zn deposits of southern Sanjiang area has the fractal cluster spatial feature,this polymetallic metallogenic belt can be further subdivided into three ore concentrating areas,and forward potential prospecting area are provided.This paper also discussed the difference between correlation dimension and box dimension.
出处
《华南地质与矿产》
CAS
2010年第1期48-54,共7页
Geology and Mineral Resources of South China
基金
中国地质调查局基础地质调查项目(编号:0199115050)
关键词
分形
关联维数
矿床
三江
fractal analysis
correlation dimension
ore deposits
southern Sanjiang area
