关于地表点下沉时间函数的研究——改进的克诺特时间函数

STUDY ON TIME FUNCTION OF SURFACE SUBSIDENCE —— THE IMPROVED KNOTHE TIME FUNCTION

克诺特时间函数被认为可以描述地表点下沉的全过程。通过理论推导并与实测资料对比,证明了可采用传统的地表下沉时间函数——克诺特时间函数来描述地表点下沉全过程存在的缺陷;经过对地表点下沉规律的分析,提出更为合理的地表点下沉时间函数——改进的克诺特时间函数,用实测资料进行了检验,证明改进后的克诺特时间函数与实际情况吻合良好。

The Knothe time function was known to be able to describe the whole process of surface subsidence. Through theory proof and comparison with actual measurement data,the fault of Knothe differential equation is discovered in describing the whole process of surface subsidence. By means of analyzing the whole process of surface subsidence,a more objective and reasonable expression for time function of surface subsidence is derived and presented,which has been verified with actual measurement data of Dongpang mine.