Elastic mechanics solution of water proof key layer in coal seam floor under high water pressure

Aiming at the problem of water resisting capacity of the key layer in seam floor under the action of high pressure water, the key stratum was simplified as a fixed beam. The stress and displacement were calculated by the stress function method and the semi inverse method respectively. The results of two calculations were compared with the FLAC^3D results. The results show that the stress and displacement obtained by the stress function method are more appropriate than those calculated by the FLAC^3D method. It is suggested that for elastic mechanics analytic method of the fixed beam of the key layer the stress function method is the first method. The research results can provide theoretical support for the prediction and forecasting of water inrush from seam floor the bottom in a stope.