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基于地下采矿引起的地表沉陷随时间变化的规律,分析了描述地表沉陷动态过程的knothe时间函数的不足,用数学分析的方法改进了knothe时间函数,改进后的时间函数模型可较准确地描述地表沉陷的动态过程,该模型求得的下沉速度的变化为0→vmax→0,下沉加速度的变化为0→+am ax→0→-am ax→0,并且该模型能求出沉陷速度最大的时间,所举矿山实测实例证明该模型可较正确地描述地表下沉的动态过程。
Based on the law of surface subsidence caused by underground mining over time, the shortage of knothe time function describing the dynamic process of surface subsidence is analyzed. The knothe time function is improved by mathematical analysis. The improved time function model can describe the surface more accurately Subsidence, the change of the subsidence velocity obtained in this model is 0 → vmax → 0, the change of the subsidence acceleration is 0 → + ax ax → 0 → -am ax → 0, and the model can calculate the subsidence velocity The largest time, the cited examples of mines proved that the model can be more accurately describe the dynamic process of surface subsidence.