Abstract
Abstract The ventilation systems of the mines are complicated by the presence of extensive open spaces and collapses, significant failures with ground outlets, which form complex aerodynamic connections not only between separate horizons, but also the system of underground workings and the surface. In this regard, to reduce the dimension of the original ventilation scheme, it is proposed to analyse not a true large-dimensioned calculation network, but a minimized one, the structure of which is different from the real one, and can be represented as an approximating analogue. It was established that the construction of structural-functional analogise by approximation on the base points allows the design schemes to be constructed in the absence of information about internal aerodynamic connections in the system of underground workings complicated by collapse zones, blockages, dips, etc. The method of constraints is proposed, which allows determining the boundaries of the search for a set of positive values of the aerodynamic resistance of equalizing branches when solving a system of nonlinear equations describing the constructed analogue.