针对高承压水作用下的底板隔水关键层的隔水能力问题,将隔水关键层简化为固支梁,分别采用弹性力学中的应力函数法和半逆解法求取应力以及位移.并将2种计算结果与FLAC3D模拟结果进行对比验证.研究结果表明,应力函数法得到的应力及位移与FLAC3D模拟计算结果更加贴切,建议关键层固定梁弹性力学分析方法首采用应力函数法.研究成果可为采场底板突水的预测预报提供理论支撑.%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 FLAC3D results. The results show that the stress and displacement obtained by the stress function method are more appropriate than those calculated by the FLAC3D 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.
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