$${{H}_{kr}}=\frac{{{R}_{e\,pen}}}{2*\gamma }$$ | H – depth of excavation site, m; |
| kr H– critical depth, m; |
| Rc pen – penetrometric compressive strength, MPa; |
$$\frac{H}{{{H}_{kr}}}\le 1$$ | γ – specific weight of overlying strata. 0.027, MN/ m3; |
$${{W}_{L}}=\frac{\sum{{{h}_{i}}*{{\Upsilon }_{i}}}}{\sum{{{h}_{i}}}}$$ | n – fracture intensiveness coefficient (– ); |
| ls – number of fractures in roof (– ); |
| l– number of strata in roof (–); w |
$$n\frac{{{l}_{s}}}{{{l}_{w}}}$$ | WL – roof lithology index( – ); |
| hi – thickness of the ith rock layer, m; |
W L – n >0 | ri – reduction coefficient for the ith layer, related to lithology: sandstone – 1.0; siltstone – 0.77; claystone – 0.66; coal – 0.72. |