地面沉降的GM(2,1)模型预测研究

A study to the ground settlement forecast with GM(2,1) model

运用灰色理论建立地面沉降的GM(2,1)模型,其中非等时距位移序列采用拉格朗日插值函数转变为等时距序列。采用非等时距GM(2,1)及GM(1,1)模型对西安市地面沉降观测点进行安全预测。计算结果表明,非等时距GM(2,1)模型预测地面沉降精度总体较GM(1,1)模型高,预测结果与实际吻合较好。

GM（2,1） model for ground settlement was set up based on Gray theory.Anisochronous displacement was changed to isochronous serial with Lagrange function.This model is used to ground subsidence observation points in Xi＇an,and the result shows that the GM（2,1） model has higher forecast precision than GM（1,1）,and this model agrees with the actual situation.