Fractal theory is used to study the granularity distribution law of the broken cobalt-rich crust collected by spiral cutting. The result shows that its granularity distribution has a very good fractal structure and can be quantitatively described with fractal dimension. Through a large number of experiments, it is preliminarily determined that the fractal dimension of the granularity distribution of broken cobalt crust and its simulation material is between 2.4236-2.6112. A regression model for the relationship between the cutting depth and granularity distribution is proposed to predict the cutting result of cobalt-rich crust and improve the design of deep seabed mining system.
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