| The stability of slide on reservoir bank is an important subject in geotechnical engineering. The issue about the stability of slide is often solved with deterministic analysis methods at home and abroad. Deterministic stable check methods of geotechnical engineering had been very mature, but the off-balance accidents are often happened in actual engineering. It brings out large loss in economic construction. The main reason of this is not the precision of the calculation methods, but that whether the considering is enough in the factor of all kinds of transformation and the influence of geotechnical parameter in the design. The factor of this transformation is often stochastic; it is difficult to reflect the factor of this stochastic transformation in using deterministic methods. Therefore, the deterministic safety coefficient can't be used to offer the measure of liable preservation in actual slide and the potential probability of failure.Because of the drawbacks in the deterministic methods, the reliability analysis in the stability of slide has been greatly developed and is paid largely attention to. The theory of reliability is based on the probability. It considers the variability of all stochastic variable and use taut probability to measure. Therefore, the analysis and evaluation about the stability of slide by using the theory of reliability is more corresponding to the actuality.Based on the theories of nonlinear finite element Monte-Carlo stimulation techniques, mathematical methods for generating uniformly distributed N(0,1) random numbers are described. A comprehensive evaluation method for uniformly distributed random number is presented. Some good seeds have been selected out that can be used to generate uniformly distributed random sequences with better performance. These have been programmed in Fortran language. Then, the basic idea about application of soil mass non-linear stochastic finite element was presented. According to the properties of soil materials, the program of non-linear finite elementwas designed and then the program of non-linear statistic finite element was designed too. When combined with Monte-Carlo calculative reliability's program, isolate contour figures of stress, stress level, shearing resistance strength and reliable index could be obtained which could be used to analyze soil stable safe coefficient and reliability index. Meanwhile, lowering the value of C and tg(,soil stable safe reserve coefficient could be gained, which was compared with the safe coefficient and reliability index that was obtained by the deterministic BISHOP method and Monte-Carlo-BISHOP method. Finally, it is significant that the application of soil stable reliability analysis with the way of non-linear statistic finite element was tested by a practical example.In the end of this paper, we discuss the regulating measure in the underwater slope. Apply root pile technology and geomembrance enveloped concrete construction technology to slope protection. If we make organic combination of this two technology, then extract the advantage and weed out the flaw, we will develop the largest impaction of this two technology and achieve the best effect in sliding strength as well as scour protection. Because that this technology is expediency in construction, shortness in period of construction and low in fabrication cost. It is a technology what have better developing prospect. This technology has wide application in the hydraulic and traffic engineering,such as underwater slope reinforcement in reservoir bank ,flood protection embankment reinforcement and underwater slope reinforcement in railway engineering, etc.
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