分形理论在断裂与矿产关系研究中的应用  

Application of fractal theory in the study of the relationship between fracture and mineral

作　　者：李飞[1] 刘国生[1] 周庆卫 赵光宝 

机构地区：[1]合肥工业大学资源与环境工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2016年第5期701-706,共6页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(41172187);中国地质调查局资助项目(1212011121096)

摘　　要：文章以招远金矿矿集区为例，在对研究区断裂与矿产分布关系的详细野外调查基础上，运用分形理论的盒维数法对区内断裂构造体系进行了分形研究，并对断裂与矿产分布的关系及矿产赋存规律进行了总结。通过分形计算，获得招远地区断裂构造总体的分维值D=1．48，地质体连通性断裂分维值临界值D为1．22～1．38。不同走向断裂的分维值：NNE向D=1．223，NE向D=1．194，近EW向D=0．864，NW向D=0．781。上述结果表明NNE、NE向断裂系统复杂程度较高，该方位断裂对矿产的控制强度大。这与区内大型、超大型金矿床多沿着NNE向断裂分布，尤其是招平、焦家断裂带，NNE向断裂起导矿、控矿作用这一地质事实相吻合，也反映出本区NNE、NE向断裂的拐点及其与不同方位断裂的交叉点的存在和发育程度影响着金矿床的分布。Taking Zhaoyuan gold ore district as an example, and based on a field survey of the relation- ship between fracture and mineral distribution in the studied area, a fractal research On the faults system in the area was conducted by using the box-counting method of fractal theory, and the relationship between fracture and mineral distribution and the occurrence regularity of mineral were summarized. Through the calculation of fractal, the overall fractal dimension D value of Zhaoyuan faults structure is 1.48, the critical value of fracture fractal dimension of geological connectivity is 1. 22- 1.38. Fractal dimensions corresponding to different fractures are as follows： in the NNE,D is 1. 223; in the NE,D is 1. 194; in the direction close to EW,D is 0. 864;in the NW, D is 0. 781. The results show that the complexity of NNE and NE trending fracture systems is higher, and this orientation of the fracture controls the mineral to a higher degree. This coincides with the geological fact that large and ultra-large gold deposits in the area mostly distribute along the NNE trending faults, especially Zhaoping and Jiaojia faults, due to the ore leading and controlling effect of NNE trending faults. It is also shown that the existence and development degree of the inflection points of NNE and NE trending faults and their intersections with the fractures in different directions affect the distribution of gold deposits.

关 键 词：分形理论 分维值 控矿断裂 金矿 招远 

分 类 号：P612[天文地球—矿床学]