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      https://www.ias.ac.in/article/fulltext/jess/115/06/0643-0660

    • Keywords

       

      Dike; fractal geometry; fracture; Singhbhum Craton; size-distribution; power law; physical model

    • 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.

    • Author Affiliations

       

      Nibir Mandal1 Atin Kumar Mitra1 Santanu Misra1 Chandan Chakraborty2

      1. Department of Geological Sciences, Jadavpur University, Kolkata - 700 032, India
      2. Geological Studies Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata - 700 108, India
    • Dates

       
  • Journal of Earth System Science | News

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