The results of the analysis of the invariance of fracture parameter distributions are presented, the invariance of the structural features of the second derivatives of the corresponding distribution functions of azimuths, dip angles, and distances between fractures being chosen as the criterion. The invariance studies performed in combination with the fractal analysis allowed us to identify the main macrostructures in the sandstone and coal layers, which was the basis for optimizing the volume of field observations of the fracturing of the massif.