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提出了推断岩土参数概率模型的最佳数值逼近法．该方法主要基于数值逼近原理,运用勒让德多项式来拟合岩土参数的概率密度函数．通过6种经典概率分布与相应的勒让德多项式概率模型的比较,结果表明所得到的逼近表达式有很好的拟合性能．该方法直接根据试验样本信息和统计方法推断,而不是先假定成经典的理论概率分布,因此数学和物理意义更加充分．研究结果表明,该方法避免了复杂的数值计算,计算结果稳定,可以满足岩土工程可靠性分析的需要．图6,表3,参10．
An optimal numerical approximation method for inferring the probability model of geotechnical parameters is proposed. The method is mainly based on the principle of numerical approximation, and the Legendre polynomial is used to fit the probability density function of geotechnical parameters. By comparing the six classical probability distributions with the corresponding Legendre polynomial probability models, the results show that the resulting approximation has good fitting performance. The method is directly based on experimental sample information and statistical method inference, rather than assuming the classic theoretical probability distribution, so mathematical and physical meaning more fully. The results show that this method avoids the complicated numerical calculation, and the calculation result is stable, which can meet the need of reliability analysis of geotechnical engineering. Figure 6, Table 3, reference 10.