Dynamic constitutive models and liquefaction characteristics of soil are critical in the seismic stability analysis on embankment dams. The P-Z constitutive model, which is a kind of the multi-mechanism plastic model based on generalized plasticity, is mainly introduced in this paper. Considering soil as two-phase media, based on the Biot fluctuation theory and the P-Z model, the dynamic analysis formulation of two-phase media is established, and the criterion of soil liquefaction is proposed through investigations, where the generation and dissipation process of soil pore pressure and the variations of effective stress are taken into account. Furthermore, the interface conditions between two-phase media and the other types of medium are derived and the examples of verification are presented.

It is necessary to take into account synthetically attribute of every index because of independence and incompatibility resulted from single index evaluating outcomes. Through the information entropy theory and attribute recognition model being combined together, attribute recognition model based on entropy weight is constructed and applied to evaluating groundwater quality by a new method, weight coefficient by the law of entropy value is exercised so that it is more objective. The outcome from concrete application indicates that it is suitable to evaluate water quality with reasonable conclusion and simple calculation.

Water resources carrying capacity (for short WRCC) evaluation is the basis of regional development planning, environmental protection and water resources sustainable exploitation. The evaluation result plays a decisive role which decides whether we can work out a reasonable program. In view of the uncertainty of evaluation indicators for WRCC, the model of Set Pair analysis based on entropy weight is proposed to be established, and be applied to WRCC evaluation of 11 cities in Henan province. The evaluation result shows that the overall WRCC is fragile. Nanyang and Pingdingshan have some potential for water resources development with a strong carrying capacity. In the rest cities, water resources development and utilization have been close to saturation. We can see that improving the development and utilization level of water resources is urgent. At last, the result of the model applied to the example is compared with fuzzy comprehensive evaluation model, that shows that the model can avoid effectively subjectivity of weight coefficient computing, and the results are reasonable and satisfactory.

The restraints and conflicts between indexes in the project decision-making often influence rationality of outcomes. Through applying PPE model to project decision, the author makes use of RAGA to optimize the projection direction, turns multi-dimension data into low dimension space, so the value of projection function can be calculated by way of seeking the optimal projection direction, thereby, according to the value, project decision can be processed. The outcome from concrete application indicates that it is very reasonable, has avoided the problem of calculating coefficient of weight subjectively, and it provides we with a new method and thought to project decision.

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