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针对分段Knothe时间函数在理论上存在的不足,为了扩展其应用范围,改善其在地表动态下沉预计时的精度,通过理论分析和对比研究,对该时间函数存在的理论缺陷进行了深入探讨,并针对存在的问题提出了相应的改进方法,进而构建了一种新的、适用范围更广、预测精度更高的分段Knothe时间函数模型。研究结果表明:该模型的构建解决了原时间函数在分段点处函数值与理论值不一致的问题以及原时间函数值最终不能收敛于1的问题;新的函数模型在应用上也摆脱了原模型对预计参数选取的某些特殊限制,扩展了利用该模型在不同地质采矿条件下进行动态预计的适用性。通过对实测数据的对比预测,证明采用该时间函数模型进行预测的精度比采用原时间函数进行预测的精度有所提高,并且地表下沉的终态预计值在达到最大下沉值后不会再随着下沉时间的增加而改变。
Aiming at the shortcomings of the theoretic existence of the piecewise Knothe time function, in order to extend its application range and improve the accuracy of the dynamic subsidence prediction of the surface, the theoretical flaws of the time function are discussed in depth through theoretical analysis and comparative study , And put forward the corresponding improvement methods for the existing problems. Then a new piecewise Knothe time function model with a wider range of application and higher prediction accuracy is constructed. The results show that the construction of this model solves the problem that the original time function does not coincide with the theoretical value at the segment point and that the original time function value can not converge to 1. The new function model also gets rid of the original Some special restrictions on the selection of the expected parameters by the model extend the applicability of using the model to predict the dynamic under different geologic mining conditions. By comparing and forecasting the measured data, it is proved that the accuracy of the prediction using the time function model is better than that of the original time function prediction, and the predicted final value of the surface subsidence will not reach the maximum subsidence value As sink time increases.