摘要
分析了由地下采矿引起地表下沉的动态过程的Knothe时间函数模型的不足,在原Knothe时间函数中增加了一个以常数k为参数的幂指数,增加参数后的时间函数模型经理论分析符合地表点下沉的动态过程、速度变化过程和加速度变化过程;改进后的时间函数模型中参数c决定地表点下沉过程时间的长短,参数k决定地表点在时间轴上的下沉路径及达到最大速度所需的时间;用改进后的时间函数模型对某矿沉陷盆地倾向主断面上下沉量最大点的下沉过程的观测资料进行了拟合,即用经验方法确定参数c后,再用最小二乘法确定参数k。研究结果表明,该模型可较准确地拟合实测曲线。用改进后的时间函数模型结合沉陷盆地主断面的剖面函数模型,建立了主断面地表下沉曲线变化的动态过程模型,该模型可求出沉陷主断面或沉陷盆地某一点在某一时刻的下沉量、下沉速度和加速度。
Through analyzing the Knothe time function model for the dynamic process of the ground surface subsidence due to underground mining, it is found that the model can＇t accord with the observational data. By adding a constant parameter k to the Knothe time function, a new time function model has been set up. The velocity and acceleration worked out from this new time function model is in accordance with the dynamic process of the surface subsidence. In this new model the parameter c decides how long the subsidence would continue; and the parameter k decides the path of the subsidence on the axis of time. This new subsidence dynamic model fits well the curve of the observation data on the inclining section of the surface subsidence basin of a certain coal mine, the parameter c is obtained by practical consideration and the parameter k is obtained by least square method. Combining this new time function model with the section function of the surface subsidence basin or the basin model, a dynamic process model for the surface subsidence due to underground mining is set up; form this model the subsidence and velocity and acceleration of some point on the subsidence basin or the section could be worked out in anytime.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2009年第11期3406-3410,3416,共6页
Rock and Soil Mechanics
关键词
地表下沉
剖面曲线
动态过程
时间函数模型
ground surface subsidence
section curve
dynamic process
time function model
