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基于时变参数的灰色模型在变形监测中的应用OACSTPCD

Application of Grey Model Based on Time-varying Parameter in Deformation Monitoring

中文摘要英文摘要

针对传统灰色GM(1,1)预测模型拟合和预测精度较低的问题,建立了基于时变参数的灰色模型.首先介绍了传统灰色GM(1,1)和二阶GM(2,1)模型的建立过程;然后基于时变参数优化灰作用量的原理,建立了基于时变参数的灰色GM(1,1)模型和GM(2,1)模型;最后以两组矿区地表沉降监测数据为例,利用不同灰色模型方案进行预测对比,并评定了灰色模型的精度.结果表明,基于时变参数的GM(2,1)模型预测精度最高,灰色模型精度检验等级为Ⅱ级,说明该模型更加贴合矿区地表监测数据变形趋势.

Aiming at the low fitting and prediction accuracy of traditional GM(1,1)prediction model,we established a grey model based on time-varying parameter in this paper.Firstly,we introduced the establishment processes of traditional grey GM(1,1)and second-order GM(2,1)model.Then,based on the principle of time-varying parameters to optimize grey action,we established grey GM(1,1)and GM(2,1)model based on time-varying parameter.Finally,taking the monitoring data of surface subsidence in the mining area for example,we carried out the prediction comparison and the accuracy evaluation of gray model through different gray model schemes.The experimental results show that GM(2,1)model based on time-varying parameter has the highest prediction accuracy,and the gray model accuracy test level is level Ⅱ,illustrating GM(2,1)mod-el based on time-varying parameter is more suitable for the deformation trend of surface monitoring data in this mining area.

樊海青;马彦凤

广东省国土资源测绘院,广东 广州 510500广东省测绘工程有限公司,广东 广州 510700

测绘与仪器

灰色GM(1,1)模型灰色GM(2,1)模型时变参数精度检验

grey GM(11)modelgrey GM(21)modeltime-varying parameteraccuracy test

《地理空间信息》 2024 (001)

74-77 / 4

广东省科技计划资助项目(2018B020207002).

10.3969/j.issn.1672-4623.2024.01.017

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