利用已有的瞬时加载条件下砂井地基固结模型，在前人解的基础上，求出变荷载作用下砂井地基孔压解。根据平均固结度等效，在单级线性加载条件下，将未打穿砂井地基转化为等效双层地基，给出其一维固结解析解。通过与有限元解的比较，等效双层地基法可用于未打穿砂井地基的固结计算。算例分析表明，受加载历时影响，未打穿竖井地基的固结度有所减小，上层地基受影响更明显一些。粗略计算时，多级加载可以简化为单级线性加载

Existing consolidation model of ground with vertical drains under instantaneous loading is extended for timedependent loading. According to the consistency of average consolidation degree, the ground with partially penetrated drains is turned into an equivalentdoublelayered ground under single ramp loading, and the analytical solution of onedimensional consolidation is given. Compared with FEM result, the method of equivalentdoublelayered ground can be used to calculate the consolidation degree of ground with partially penetrated vertical drains. The results of the numerical example show that the consolidation degree of ground with partially penetrated vertical drains is reduced under the effect of loading time and the influence on the upper ground is more obvious. In preliminary calculation, multiramp loading can be replaced by a single ramp loading.