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针对Knothe时间函数在采动区地表动态沉降预测中存在着较大偏差的问题,提出了地表动态沉降预测的Richards模型。基于开采过程中的地表沉降变形规律,给出了能够反映地表沉降全过程的理想时间函数模型所具有的基本特征,引入Richards生长曲线模型,分析了模型参数与地质采矿条件之间的定性、定量关系,并探讨了模型的适用范围,指出地表发生连续的、渐变的沉降变形时,模型预测效果较好。实例分析表明,Richards模型符合理想时间函数模型的要求,可较好地模拟采动区地表动态沉降过程,能够计算出地表移动持续时间和地表点在某一时刻的下沉值、下沉速度、加速度等动态参数,且模型的可塑性较强,具有较广泛的适用性。
In view of the large deviation of Knoe time function in the prediction of surface subsidence in mining area, a Richards model of dynamic subsidence prediction is proposed. Based on the law of surface subsidence and deformation during the mining process, the basic characteristics of the ideal time function model reflecting the whole process of surface subsidence are given. The Richards growth curve model is introduced and the relationship between the parameters of the model and the geological mining conditions is analyzed. And explored the application of the model. It is pointed out that the prediction of the model is better when the continuous and gradual deformation of the ground surface occurs. The case study shows that the Richards model meets the requirements of the ideal time function model and can simulate the dynamic settlement process of the surface in the mining area. It can calculate the duration of the surface movement and the subsidence value, sinking speed, Acceleration and other dynamic parameters, and the model of plasticity stronger, with a wider range of applicability.