Based on the strain consolidation model such as sand wells, considering the change of initial effective stress along the depth, ignoring the influence of well resistance and vertical drainage consolidation, applying the logarithmic relationship between the average pore ratio and the average effective stress, a layered calculation model of nonlinear radial drainage consolidation of sand wells is established, and the analytical solution of radial drainage consolidation under constant load is obtained. Under the action of variable load, the load in the change stage is divided into a series of discontinuous and dramatic loads, and the recursive formula of the effective stress is derived. The results show that the average consolidation degree of radial drainage of the soil layer increases with the burial depth due to the increase of self-weight stress with depth. If the self-weight stress in the entire thickness range is taken as the average, the calculated settlement amount will be small and the radial average consolidation degree will be large.