向量随机场模拟及其在岩土工程中的应用

Simulation of random vector fields in geotechnical engineering

对于岩土工程中多个土性随机参数向量随机场,将随机场谱表示模拟方法与Monte-Carlo法相结合,得到了考虑土性参数自相关性与互相关性的Monte-Carlo随机有限元法,并应用于堤坡失效概率的计算。计算结果表明:谱表示模拟方法比普通协方差分解方法收敛速度快,采用该模拟方法的Monte-Carlo随机有限元法是计算岩土工程可靠度的有效方法;在土性参数随机场的模拟中应考虑参数间的互相关性对于岩土工程可靠度的显著影响。

The spectral representation method and the Monte Carlo method were combined to form a Monte Carlo stochastic finite element method considering both selfcorrelation and crosscorrelation to evaluate the reliability of geotechnical engineering designs. The new method is able to simulate the random vector fields of soil property parameters and to predict the reliability of soil structures. The method was used to evaluate the failure probability of an embankment. The calculated results show that the method remarkably reduces the Monte Carlo simulation time while providing highly accurate results. In addition, the results show that the correlation between different soil parameters significantly influences the soil structure reliability, so such correlations should be considered in reliability analyses. 