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中文摘要：
提出了一种用于分析在多参数随机情况下岩土力学数值模拟结果变异性的全概率方法。以特定数值模拟结果为随机隐式响应量，根据多维高效数值求积理论，计算出响应量特定函数的均值，利用快速傅里叶变换数值概率分析方法及笔者开发的最大熵分布，求解器软件一次性求解出响应量的全概率分布，用于定量评估数值模拟结果的变异性。算例表明该法具有精度和计算效率较高的优点。
英文摘要：
A full probability method is presented to statistically evaluate the variation of geomechanics numerical simulation results subject to multi-random parameters. Taking the interested results as stochastic implicit response variables, firstly the expectations of some special functions of response variables are determined by the high performance multidimensional numerical integration. Then the full probability distribution function of the interested numerical simulation results is obtained to quantitatively analyze the variation effect using two proposed method including numerical probability analysis method based on fast Fourier transform （FFF） and the maximum entropy distribution solver software developed by the authors. The numerical examples show that this method has higher accuracy and the computational effort is reduced.
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