基于弹性薄板理论的地表下沉预计模型

Surface Subsidence Prediction Model Based on Elastic Thin Plate Theory

地下开采破坏了地层的原始应力平衡状态,导致地表移动变形,对地表建筑物和生态环境造成了损害。地表下沉预计是研究地表移动变形的重要内容,经典的地表下沉预计数学模型十分复杂,为简化预计模型的复杂性,将椭圆弹性薄板挠度计算方法引入地表下沉预计中,建立了基于弹性薄板理论的主断面地表下沉预计模型,并应用实测数据对该模型进行了验证。研究表明:根据弹性板理论建立的预计模型的计算结果与实测结果吻合度较高,并且模型简单直观,适合应用于实际工程中。

Underground mining destroys the original stress balance state of the stratum,which causes the movement and deformation of the surface,and brings damage to surface buildings and the ecological environment. Mining subsidence prediction is an important part of studying the movement and deformation of the surface.The classic mathematical model of surface subsidence prediction is very complicated.In order to simplify the complexity of the predicting model,the elliptical elastic thin plate deflection calculation method is introduced into the prediction of surface subsidence,and the prediction model of mainsection surface subsidence based on elastic thin plate theory is established. This model is validated by the measured data.The study results show that the calculation results of the model above established by the elastic thin plate theory are in good agreement with the measured results at the mine site.In addition,this model is simple and intuitive,and is suitable for practical engineering.