Is the outcrop topology of dolerite dikes of the Precambrian Singhbhum Craton fractal?

Journal of Earth system science

Chandan Chakraborty2²  Atin Kumar Mitra1¹  Santanu Misra1¹  Nibir Mandal1¹ 

[1] Department of Geological Sciences, Jadavpur University, Kolkata 700 032, India.$$;Geological Studies Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata 700 108, India.$$

关键词: Dike;    fractal geometry;    fracture;    Singhbhum Craton;    size-distribution;    power law;    physical model.;   

DOI  :  

学科分类：天文学(综合)

来源: Indian Academy of Sciences

【 摘 要 】

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 nonlinear 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.

【 授权许可】

Unknown