SUMMARY
Constantly operating mathematical model it regional, multifunction hydrogeological task. A model limits in space and endless in time. General description of technogenic changes of the mode of underwaters it is the main flaw. Based on this for development of nature protection measures to the hydrogeological orientation a regime model cannot be only foundation. Therefore it is complemented by the mathematical models of territories that fit closely to the local objects of technogenic influence on underwaters. In hired the mathematical models of change of hydrogeological terms of territory are examined in the affected of the mine pumping zone A model consists of two parts - lauter and migratory. Filtration in a general view is described by three-dimensional equalizations of mathematical physics of parabolic kind in partials. Three theories - filtration, physical and chemical hydrodynamics of porous environments and mining holes fixed in basis of creation of mathematical models of change of hydrogeological terms of territories. On the basis of theory of physical and chemical hydrodynamics of porous environments the modern methods of prognosis of transfer of substance were worked out underground to waters near-by the sources of contamination. In obedience to this theory processes are described by equalizations of motion and maintenance of mass of substance. These territories fit closely to the technogenic objects of negative influence on underwaters. Sequence of putting into the operation of coal mines, their lowering action, closing variants mining holes on mathematical models represented in a chronological order on the basis of theory of single and interactive mining holes. Adequacy of models and originals is confirmed by regime supervisions on mining holes in the affected of the mine pumping zone. Conducting work it is possible to draw conclusion that the theory of mining holes is applicable at the decision of tasks of the mine pumping. At influence of pumping on adherent territories in the process of exploitation and in connection with closing of mines.Constantly operating mathematical model it regional, multifunction hydrogeological task. A model limits in space and endless in time. General description of technogenic changes of the mode of underwaters it is the main flaw. Based on this for development of nature protection measures to the hydrogeological orientation a regime model cannot be only foundation. Therefore it is complemented by the mathematical models of territories that fit closely to the local objects of technogenic influence on underwaters. In hired the mathematical models of change of hydrogeological terms of territory are examined in the affected of the mine pumping zone A model consists of two parts - lauter and migratory. Filtration in a general view is described by three-dimensional equalizations of mathematical physics of parabolic kind in partials. Three theories - filtration, physical and chemical hydrodynamics of porous environments and mining holes fixed in basis of creation of mathematical models of change of hydrogeological terms of territories. On the basis of theory of physical and chemical hydrodynamics of porous environments the modern methods of prognosis of transfer of substance were worked out underground to waters near-by the sources of contamination. In obedience to this theory processes are described by equalizations of motion and maintenance of mass of substance. These territories fit closely to the technogenic objects of negative influence on underwaters. Sequence of putting into the operation of coal mines, their lowering action, closing variants mining holes on mathematical models represented in a chronological order on the basis of theory of single and interactive mining holes. Adequacy of models and originals is confirmed by regime supervisions on mining holes in the affected of the mine pumping zone. Conducting work it is possible to draw conclusion that the theory of mining holes is applicable at the decision of tasks of the mine pumping. At influence of pumping on adherent territories in the process of exploitation and in connection with closing of mines.Keywords: mathematical model, theory of wells, regime observations, adequacy, theory of mining, underground waters.