Through extensive survey and study and by means of mathematical statistics, stochastic analysis theory, technica.

Approach to evolution of the shape of fluid flow in rocks by stochastic theory;

Pointing to uncertainties in process of the construction and operation of concrete dam , the method of stochastic back analysis of material parameters is put forward on the basis of stochastic theory and structural analysis.

For the bed load discharge of the Lijiang River, by the method of combining mechanical analysis with stochastic theory, a formula of bed load rate is established; and through the experimental research, the coefficients are determined.

On the base of this, the difference between the rough theory and other uncertain theories such as fuzzy theory,random theory and grey theory is analyzed.

By the method of random theory,the influence of resistance thermal flutuation on circuital current transient process in a RL series circuit is studied And the s table probability density in current,average current and current flctuation are calculated.

Though the levels of understanding of grey theory and random theory are different, grey thoughts and grey ideas are reflected in the use of many random methods, and grey problems could be understood, studied and dealt with from the viewpoint of random under certain conditions.

Based on the theory of energy random analysis for train derailment,a method to analyze the safety and riding comfort of train on bridges is established.

Based on the theory of energy random analysis for train derailment, train running safety on Hujiawan bridge was calculated.