Fractal dimension and its implication to mineral exploration: a case study from the Jonnagiri and Gadag gold deposits in India

Author:

Swain S. K.1,Roy P. N. S.23ORCID

Affiliation:

1. Department of Geology, Central University of Jharkhand, Ranchi, Jharkhand 835205, India

2. Department of Geology and Geophysics, Indian Institute of Technology, Kharagpur, West Bengal 721302, India

3. Deysarkar Centre of Excellence in Petroleum Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India

Abstract

Fractal dimensions characterize the spatial distribution pattern of mineral deposits, allowing the mineralization processes beneath and at the surface to be understood. This study considered a mineralized vein along the fracture/shear zone near the Dona Temple in the Jonnagiri gold deposit and borehole data from the Sangli Block in the Gadag gold deposit. The above-mentioned zones were considered using fractal dimensional analysis to constrain the fluid-flow pathways. The box-counting technique was used to measure the fractal dimension of the mineralized vein along the surface from a detailed to a regional scale. The fractal correlation integral method was used to provide the fractal dimension values from the gold assay (in g t −1 ). The box-counting fractal dimension values obtained varied from 1.07 to 1.36, whilst the fractal dimensions obtained from the fractal correlation integral method ranged 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 showed that the fractal analysis of the mineralized vein along the fracture/shear zone appeared to correlate with the fault system rather than with the litho-contact. Economic gold deposition occurs mainly along a structure with a steep fractal gradient, which is the target area for economic gold exploration.

Funder

Ministry of Coal, Government of India

Ministry of Earth Sciences, Govt. of India

Department of Science and Technology, Govt of India

Publisher

Geological Society of London

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