中文摘要：

摘要为了研究覆岩内部的移动变形规律，以随机介质碎块体移动概率分布为基础，通过理论推导，得出了单元开采覆岩内部静态下沉预计模型和水平移动函数模型，以此为源型，研究得出了覆岩内部三维空间任意点沿任意方向的移动和变形公式。通过理论研究和实测资料分析，得出了覆岩沉降系数与地表下沉系数的关系为q岩=1-（H-z/H）^n（1-q）。采用预计模型对范各庄矿覆岩移动进行了预测，结果表明，预计值与实测值最大偏差162mm，相对误差仅为4．7％，预计值与实测值吻合较好，覆岩静态预计模型能够付诸工程实践。

英文摘要：

In order to research the law of overburden movement and deformation, on the basis of movement probability distribution of random medium shiver, through theoretical derivation, the static subsidence prediction model and horizontal movement function model of overburden in unit mining are derived. Then based on the above models, movement and deformation prediction formulas of any point along arbitrary direction in 3D space in overburden are obtained. Furthermore through theory research and field surveying data analysis the relation between overburden subsidence factor and surface subsidence factor could be expressed by the formula qr=1-（H-z/H）^n（1-q） . The overburden movement of Fangezhuang colliery is predicted by using the prediction model, and the maximal decination between predicted value and measured value is 162 mm, relative error only 4. 7% , which indicate that predicted value and measured value are in good agreement. Thus the overburden static prediction model can be put into engineering practice.