The cumulative displacement-time curve is the most common and direct method used to predict the deformation trends of landslides and divide the deformation stages. A new method based on the inverse logistic function considering inverse distance weighting (IDW) is proposed to predict the displacement of landslides, and the quantitative standards of dividing the deformation stages and determining the critical sliding time are put forward. The proposed method is applied in some landslide cases according to the displacement monitoring data and shows that the new method is effective. Moreover, long-term displacement predictions are applied in two landslides. Finally, summarized with the application in other landslide cases, the value of displacement acceleration, 0.9 mm/day2, is suggested as the first early warning standard of sliding, and the fitting function of the acceleration rate with the volume or length of landslide can be considered the secondary critical threshold function of landslide failure.

Optimal Variational Iteration Method (OVIM) is Variational Iteration Method (VIM) coupled with auxiliary parameter h. In this paper, we have discussed a hydrological problem with pressure distribution phenomenon solved with Optimal Variational Iteration Method (OVIM). In the framework of Optimal Variational Iteration Method (OVIM), the auxiliary parameter h, that is convergence controlling parameter is the primary tool which guarantees the convergence of said technique. Moreover, the convergence is obtained by so-called residual error method. Results shows that the reliability of the method with the least error and provide the required solution to the pressure distribution of water in a water reservoir in initial four iteration.

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