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.