采用广义Kelvin体建立采空区顶板?矿柱流变体系，基于弹性力学理论进行体系沉降与时间对应关系的求解，并带入实际案例进行验证。结果表明：顶板沉降发展总体符合广义Kelvin体描述的阶段性沉降特性，但由于实际边界条件的改变为一渐变过程，顶板沉降可表现为多阶段变化，甚至连续变化。尽管顶板实际沉降变化受过程影响与理论计算有所差别，但建立的基于广义Kelvin体的采空区流变模型对采空区稳定时间预测较为可信，可应用于矿山稳定性评估及合理采取安全措施。
A roof-pillars rheological system of goaf was built based on the elastic theory and generalized Kelvin constitutive model, and the function relationship between subsiding and time was solved out. Solutions were tested in actual cases. The results show that, although the development of roof subsiding matches well with the periodical characteristics described by the generalized Kelvin model, the roof subsiding can change multiperiodically or even constantly due to the fact that the changing of the actual boundary condition is a gradual process. Although there are some differences between the actual roof subsiding process and theoretical solutions because of the procedural effect, the result on the goaf stable time in generalized Kelvin goaf rheological model is still credible. The conclusions can be applied mines stability evaluation and taking the safety measures reasonably.
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