摘要
Abstract
In order to improve the calculation efficiency of Monte Carlo method, composite sampling has been put forward which is a combination of updated Latin hypercube sampling and antithetic sampling, then introduce it into Monte Carlo stochastic finite element method (MCSFEM). Based on the three dimensional finite element model, studying the random disturbance of seepage field due to the variability of permeability coefficient and head boundary condition by using MCSFEM to analyze the random seepage field of Shanping embankment dam. Besides, an analysis on the sensitivity of the variation coefficient and sampling number are carried out. Finally, probability analysis of the result of the seepage field is taken. The results show that:with the randomness of the permeability coefficient increases, the variability of total head potential, velocity and permeation volume force is also getting higher. In addition, composite sampling method not only can effectively accelerate the convergence rate of the MC, but also can reduce the statistical correlation between the samples, verifies the practicality and reliability of the new sampling method. Furthermore, when the permeability coefficient obeys the normal distribution, the head and hydraulic gradient of the selected nodes also obey the normal distribution.关键词
渗流场/Monte Carlo随机有限元/复合抽样法Key words
seepage field/Monte Carlo stochastic finite element method/composite sampling分类
数理科学
