Coal mining in the Kizel coal basin was accompanied by intensive mine drainage, drainage of both coal strata and hydraulically associated rock aquifers, the formation of extensive depression craters in the areas of worked mines, the movement of large masses of rocks, the formation of sinkholes over the worked space. These processes have led to significant changes in the filtration characteristics of aquifers and groundwater supply conditions compared to natural conditions. After the dewatering was stopped, 19 outflows of acid mine waters were formed, which are a source of pollution of the hydrosphere. To select engineering measures aimed at improving the environmental situation, it was necessary to assess the balance components involved in the formation of these outflows. The necessary accuracy of the forecast in assessing the balance components of water involved in the formation of outflows both at the present time and in the implementation of engineering measures can be achieved by reproducing the methods of mathematical (geofiltration) modeling of the hydrodynamic history of mining. Groundwater in the Kizel coal basin is formed within several relatively isolated basins of underground catchments. To determine the external boundaries of the models, an approach based on the analysis of the geological, tectonic structure of the territory, filtration properties of rocks, taking into account the geomorphological position of the basin, was used to ensure the correct interface of the boundaries of local models. On the basis of the analysis of long-term data of regime observations at working out of coal mines, generalization of geological and hydrogeological information the substantiation of basic parameters of 8 geofiltration models is executed, external and internal boundary conditions are defined, stratification of each of models is carried out. The value of the infiltration feed for the territory under consideration was taken on the basis of estimates made in different years in the study of the natural regime of groundwater, in the operation of the mine drainage and the analysis of the outflow costs after flooding. The effectiveness of engineering measures was evaluated by analyzing the changes in the balance components of water involved in the formation of spills at the present time and in the implementation of measures, which were considered as plugging wells and mine shafts, the device of bridges in mine workings, injection of reagent into the underground space, removal of surface runoff, pumping groundwater upstream.