When considering the scale of the rock massif to solve a specific rock problem, it is necessary to consider the structure of the massif within this scale (volume). If the structure is homogeneous within the scale of the massif, the solution can use existing ideas about the properties of rocks in the massif and the scale effect. A homogeneous massif can be composed of micro-heterogeneous “mother” elements. In this case, consideration of rock strength characteristics is associated with statistical characteristics considered in laboratory tests of rock properties. This mathematical apparatus can be important during the selection of rock massif that could be appropriative enough for location of fallout shelters for protection of civilian population against the effects of Nuclear Weapons.
Nowadays there’s still the questions in context of global strategy about prevention and protection of civilian population and critical infrastructure even when in the present doctrine the global powers "forgets" about the old strategy of nuclear warfare. That means that we still should think about retrofit those of underground spaces that was decommissioned in last years and to start thinking about reuse of mining shafts in rock mass as a fallout shelters for protection of civil population. By rock mass we mean the volume of rock necessary to represent a model of the structure of the rocks enclosed in it and determined by a specific task related to the impact of external forces (boundary conditions) on this volume. Currently, there is no universally accepted point of view on the possibility of an approach to the processes of massifs deformation; rocks being under load in various geological conditions from a single common point, the question now arises of creating the most realistic mechanical model of the massif. In this paper were summarizing some mathematical apparatus for rocks mechanical characteristics within the massif loading processes for underground structures model.