线性-非线性GM模型在围岩变形预测中的应用

灰色系统理论在岩土工程领域的许多方面已得到广泛的应用，并取得了一系列成果，但在地下工程中的应用成果尚少。具体应用实践表明，线性DGM（2，1）模型、非线性Verhulst模型模拟预测地下工程围岩变形比一般回归分析和GM（1，1）模型效果好。DGM（2，1）和Verhulst模型不仅具有较高的精度，而且可方便地预测出围岩变形的最终位移，为地下工程信息化设计、施工提供更加准确的信息。

Application of Linear and Non-linear GM Model to Forecast of Surrounding Rock Deformation

Grey system theory was applied extensively and had gained a series of achivements in geological engineering,but had only less achivements in underground engineering.A practical application shows that the linear DGM(2,1) and non-linear Verhulst grey models for analog-forecast of surrounding rocks deformation in underground engineering had better result than that of usual regression analysis and GM(1,1) model.DGM(2,1) and Verhulst models had not only high analog-forecast accuracy,but also had convenient forecast for final displacement of surrounding rock deformation.It had provided more accurate information to informatization design and construction in underground engineering.