Fractal dimension and its implication to Mineral Exploration: A case study from Jonnagiri and Gadag gold deposits in India

S. Swain, P. N. S. Roy
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Abstract

Fractal dimensions characterise the spatial distribution pattern of mineral deposits, allowing the mineralization processes to be grasped beneath and at the surface. This study considered the mineralized vein along the fracture/shear zone near Dona temple, Jonnagiri gold deposit and borehole data from Sangli block, Gadag gold deposit. The above mentioned zones are considered using fractal dimensional analysis to constrain the fluid flow pathways. The box-counting technique is used to measure the fractal dimension of the mineralized vein along the surface from a detailed to regional scale. The fractal correlation integral method is used to provide the fractal dimension values from the gold assay (in g/t). The obtained box-counting fractal dimension values vary from 1.07 to 1.36, whilst fractal dimensions obtained from the fractal correlation integral method range from 0.03 to 1.97. Higher fractal values signify a fully matured interlinked fracture/fault network with steep fluid flow pathways, while lower values indicate the converse condition. Further, the study shows that the fractal analysis of the mineralized vein along fracture/shear zone appears to correlate with the fault system rather than the litho-contact. Economic gold deposition is mainly along the structure with steep fractal gradient, which is the target area for economic gold exploration.
分形维度及其对矿产勘探的影响:印度 Jonnagiri 和 Gadag 金矿床案例研究
分形维度描述了矿床的空间分布模式,使人们能够掌握地表和地下的成矿过程。本研究考虑了 Jonnagiri 金矿床 Dona 寺附近沿断裂/剪切带的矿化脉,以及 Gadag 金矿床 Sangli 区块的钻孔数据。研究使用分形维度分析法对上述区域进行了考虑,以限制流体流动路径。采用盒式计数技术测量矿化脉沿地表从细节到区域尺度的分形维度。分形相关积分法用于提供金化验的分形维度值(单位:克/吨)。获得的盒式计数分形维度值从 1.07 到 1.36 不等,而分形相关积分法获得的分形维度值从 0.03 到 1.97 不等。较高的分形值表示断裂/断层网络已完全成熟,具有陡峭的流体流动路径,而较低的分形值则表示相反的情况。此外,研究表明,沿断裂/剪切带矿化脉的分形分析似乎与断层系统而非岩相接触相关。经济金沉积主要沿着分形梯度陡峭的构造,这也是经济金勘探的目标区域。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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