Creep behavior is one of the important factors which affect the rock engineering's long-term stability, so rheological deformation prediction is very important. The monitoring data after the rock engineering excavation can be used to analysis and predict the future rheological deformation. At first, a relative visco-elastic displacement vector matrix was deduced from Coursat elastic displacement formula and viscoelasticity theory. Then a rheological prediction model was put forward and the prediction procedure was given for company. At last, the proposed method was applied in real rock engineering. The results show that it could predict the long-term deformation well, and could take the constitutive model into account. The prediction model didn' t need the monitoring data to be isochronous , and the data amount to be needed could suit for the engineering.%依据岩体工程开挖后监测到的变形数据分析变形演化规律,预测其发展趋势,已成为设计施工的基本任务之一.依据Goursat弹性位移表达式和弹性-黏弹性比拟原理推导了岩体工程黏弹性问题的相对位移矢量增量公式.进而推导了黏性流动变形预测的模型,并给出了变形预报的方法步骤.工程应用表明:该方法可以考虑岩体的本构特征这一先验信息,实现两维的长期变形预报；预报精度较高.该预测模型对观测数据没有等时性要求,需要的数据量大小亦能为岩土工程所满足.
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