中文摘要：

基于岩石碎胀特性对浅埋采空区垮落岩体空隙储水工程的重要意义,采用理论分析、数学建模与现场应用相结合的方法,对神东矿区某矿32302工作面采空区垮落岩体应力变化与碎胀系数分布规律进行研究.分析覆岩＂两带＂结构特征,划分采空区垮落岩体应力和碎胀系数分区.根据悬臂梁及弹性地基梁理论,推导各分区垮落岩体应力变化公式,建立碎胀系数分布模型,并利用岩石压实实验进行验证.应用数学模型计算32302工作面采空区垮落岩体空隙储水体积为5 700 651.68m3,与岩移法估算结果较为接近,误差仅为7.14%.结果表明：针对浅埋煤层赋存条件,运用数学方法分析采空区垮落岩体碎胀特性是可行的,促进岩石碎胀特性研究方法多元化发展,为浅埋采空区垮落岩体空隙储水量预测提供新的途径.

英文摘要：

Considering the great significance of rock broken expand characteristics to water storage in void of caving rock in shallow buried goal, a method combining theoretical analysis, mathematical modeling and field application was applied to systematically study the rules of stress variation and broken expand coefficient distribution of working face 32302 caving rock in Shendong coalfield. Two-zone structure of overlying strata were analyzed, then stress and broken expand coefficient of caving rock in the goal were subdivided. According to the theories of cantilever beam and elastic foundation beam, the formula of caving rock stress variation in different areas were derived and the mathematical models for broken expand coefficient distribution were established and verified by rock compaction test. The mathematical models were ap- plied to calculate water storage volume in void of caving rock of working face 32302, which is 5 700 651.68 m3, consistent with the water storage volume estimated by strata movement method in situ,with an error rate of only 7.14%. It is concluded that for typical shallow buried coal seam, mathematical means to study the broken expand characteristics of caving rock in the goal is feasible. It can not only diversify the research methods of rock broken expand characteristic study, but also provide a new way to forecast water storage capacity in void of caving rock of shallow buried goal.