Is the outcrop topology of dolerite dikes of the Precambrian Singhbhum Craton fractal? |
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| Authors: | Nibir Mandal Atin Kumar Mitra Santanu Misra Chandan Chakraborty |
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| Institution: | (1) Department of Geological Sciences, Jadavpur University, 700 032 Kolkata, India;(2) Geological Studies Unit, Indian Statistical Institute, 203, B. T. Road, 700 108 Kolkata, India |
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| Abstract: | In the Precambrian Singhbhum Craton of eastern India, newer dolerite dikes occur profusely with varying outcrop lengths. We
have analysed the nature of their length-size and orientation distributions in relation to the theory of fractals. Two orientational
sets of dikes (NW-SE and NE-SW) are present. Both the sets show strongly non-power-law size distributions, as reflected in
non-linear variations in logarithmic space. We analyzed thousands of data, revealing that polynomial functions with a degree
of 3 to 4 are the best representatives of the non-linear variations. Orientation analysis shows that the degree of dispersions
from the mean trend tends to decrease with increasing dike length. The length-size distributions were studied by simulating
fractures in physical models. Experimental fractures also show a non-power-law distribution, which grossly conforms to those
of the dolerite dikes. This type of complex size distributions results from the combined effects of nucleation, propagation
and coalescence of fractures. |
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| Keywords: | Dike fractal geometry fracture Singhbhum Craton size-distribution power law physical model |
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