Regularities of the day surface deformation during layer mining by consecutive lavas

The main objective of this work is to find an analytical ratio, which could describe the form of a trough to simplify the forecast of deformation of a day surface during the development of underground mining operations. The interactive algorithm for finding of the defining parameters of such a ratio, which allows to expand the borders of the use of traditional approach significantly, is offered. The example of interpretation of the data, obtained within the measurement of subsidence of a day surface in the mine named after Kirov in Kuzbass during consecutive mining of two lavas is reviewed. The analytical ratio for the description of a form of a trough from one lava is received and proved to be fair for the following lava; that gives the basis to consider it fair for the subsequent mining of the layer