基于薄板理论的工作面底板隔水层稳定性研究

Study on stability of mining face floor aquiclude based on Thin Plate Theory

为了研究底板隔水层稳定性,基于薄板理论,结合某矿9103工作面采矿及地质条件,利用底板"下三带"理论和在分析研究工作面支承压力分布规律的基础上,将底板隔水层简化为四边固支受线性载荷作用下的矩形薄板,建立隔水层力学模型,分析隔水层最大挠曲位置、最大主应力方向和突水机理力学判据。研究表明:隔水层最大挠曲位置位于工作面倾斜方向的中心和距工作面煤壁初次来压步距5/12倍的交点处;隔水层中最大主应力方向与水平主应力方向一致;隔水层所能承受的极限水压与隔水层厚度成抛物线关系,薄板理论应用于隔水层稳定性分析中是可行、合理的,能为带压开采提供理论依据。

In order to study the stability of the floor aquiclude, based on the ＂Down Three Zone＂ Theory, support pressure distribution law of the working face and the Thin Plate Theory, combining with No.9103 working face mining and geological conditions, the floor aquiclude was simplified to four edges clamped rectangular plates under the function of linear load. Floor aquiclude mechanics model was established to analyze the maximum flexure position, the direction of maximum principal stress and water inrush criterion. The analysis showed that the maximum flexure position located at the intersection of the center of the tilt direction of the working face and the distance of working face coal wall first weight step distanee＇s 5/12 times; the direction of maximum principal stress and horizontal principal stress direction was consistent in aquiclude; the value of limit water pressure that aquiclude could bear and thickness of aquiclude showed a parabola relation- ship. The application of Thin Plate Theory＂ in stability of floor aquiclude was reasonable and feasible, providing a theoretical basis for min- inz above aouifer.