基于径向固结理论和等应变假设，考虑真空预压过程中真空泵故障、漏气等不利影响以及排水体井阻时空非线性影响， 推导了以排水体中超静孔隙水压uw为函数的3阶拟线性偏微分方程，并将膜下真空度随时间的变化曲线作为边界条件，考虑吹填土的自重固结影响，分别给出了真空预压地基考虑漏气影响且排水体渗透系数随深度线性衰减及时间指数衰减时的固结解析解。最后通过与现有多个固结解的对比分析，认为它们一般为新解的特例，并通过算例计算比较分析，认为井阻随时间影响参数A2对固结度的影响比随深度影响参数A1更敏感。当参数A2足够大时，则认为排水体很快就淤堵以至于不具备排水能力，参数A1则可等效反映真空度随深度的衰减影响，且真空预压过程中漏气对地基固结度具有直接影响，漏气越严重则固结排水越慢，需延长真空预压时间，以保证真空预压效果。

Based on radial consolidation theory and equal stain assumption, third-order quasilinear partial differential equations for ultra-static pore water pressure of drainage are deduced under cylindrical coordinate system. The equations consider the effects of vacuum pump failure, air leakage, and the spatial and temporal nonlinearity on drainage well resistance. The variation of vacuum degree under film with time is used as a boundary condition, the analytic solutions for consolidation of vacuum preloading foundation under self-weight are derived with the consideration of influence of air leakage and the permeability coefficient of drainage water decreases with depth linear attenuation and time exponential decay. By comparisons, the solutions given by previous studies are found as a special case of the general solution in this article. Through examples, the results show that the well resistance coefficient A2 on the degree of consolidation is sensitive than A1, and the air leakage has a direct impact on the consolidation degree of the foundation in the process of vacuum preloading. The consolidation is slower under serious air leaking conditions. Therefore, the vacuum preloading time should be extended to ensure the vacuum pre-pressure results.