Abstract:The attenuation of effective potential leads to the poor effect of electroosmosis in the later stage, and the influence of the change of effective potential cannot be considered in the classical electroosmotic consolidation theory. Aiming at this problem, in the rectangular layout, taking the point electrode unit as the research model, by focusing on the contradiction between the effective potential attenuation and the restriction conditions when introducing the intermediate variable, the Riemann summation form is introduced to segment the effective potential attenuation by polymorphism, which ensures the establishment of the intermediate variable equation in the Riemann state segment. By considering the unity of the effective potential attenuation and electroosmotic consolidation in the time dimension, the initial condition is adopted. The unsteady state solution in the time domain is transformed into the updating iteration of the initial conditions between the state segments. The finite element form of the method is given based on Galerkin’s method, and is programmed with Python. The results show that: 1) in the process of electroosmosis, the change of the effective potential at the anode is affected by the length of the seepage path, and the effective potential of the far anode is increasing, and the other two parts are in the state of attenuation; 2) the results of the multi-state algorithm can reflect the distribution of the effective potential on the pore pressure compared with the classical results, and the change is mainly concentrated in the middle of the element. 3) The mutation of pore pressure amplitude caused by the inheritance of initial conditions decreases with the increase of the number of state segments. When the pore pressure curve is smooth, the increase of the number of state segments by inheritance has limited improvement on the calculation accuracy. This method is simple, clear and more in line with the real situation.