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修正灰色模型在沉降监测间断资料插补中的应用
引用本文:张爱忠,张健雄.修正灰色模型在沉降监测间断资料插补中的应用[J].测绘科学,2008(Z1).
作者姓名:张爱忠  张健雄
作者单位:湖南省资兴矿务局勘察设计院,河南理工大学测绘与国土信息工程学院
摘    要:对于大型和高耸建筑,为了确保施工和安全运营,定期进行沉降监测是一项非常必要和重要的工作。但是由于受备种主、客观条件的限制和影响,沉降监测实测资料有时会出现间断。为了分析沉降规律,需要对间断资料进行插补。文章考虑到建筑物沉降监测非等时间间隔的特点,以相邻观测时间间隔为权,直接生成1-WA- GO序列,建立灰色系统非等间隔GM(1,1)模型,并将该模型应用于某建筑物沉降监测间断资料的插补工作中。当拟合值误差较大时,应用1阶残差序列建模,对原模型进行修正,提高了模型的拟合精度,得到了较满意的监测间断插补值。

关 键 词:修正灰色模型  沉降监测  插补  1阶残差

Application of modified grey model in insertion of interrupted data of subsidence monitor
Abstract:With regard to large and towering buildings,regular subsidence monitoring is an essential and very important work to ensure the safety of the building during construction and running.However,restricted by various conditions,sometimes subsidence mo- nitor can be interrupted.In order to analyze the law of the subsidence of the building,it is necessary to insert and replenish the inter- rupted data.Firstly,the unequal interval characteristic of subsidence monitor of the building is considered.The adjacent time interval is taken as weight,the 1-WAGO sequence is directly made and the unequal interval GM(1,1)model is established.Secondly,the model is applied in insertion work in the interrupted data.When the error of the simulated values is big,one rank model of the residual error is applied to modify the original model.Finally,the result of model test shows that the precision of the modified model is im- proved and the better interrupted data are obtained.
Keywords:modified GM(1  1)model  subsidence monitor  insert and replenish  one rank residual error
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