最大熵在岩体结构面间距分布估计中的应用研究

发布时间：2018-06-17 20:54

本文选题：岩石力学 + 结构面间距　；参考：《岩石力学与工程学报》2017年S1期

【摘要】：结构面间距是表征岩体完整性的重要参数。由于结构面分布的不均匀性和地质构造的复杂性,常用的概率分布不能精细描述结构面间距的分布特征。对于由测线法测得的结构面间距样本,根据岩体内部能量平衡,在结构面间距的统计矩的约束下,采用最大熵原理推导结构面间距的概率分布,最大熵原理估计得到的结构面间距的概率分布具有无偏性和一致性;给出结构面间距常用的分布函数的最大熵形式;采用Monte Carlo模拟方法进行结构面三维网络模拟,采用K-S检验验证最大熵估计结构面间距概率分布的适用性和准确性。对隧道采样区的结构面间距样本进行分布估计,得到的最大熵概率分布显著优于常用的负指数分布或对数正态分布,能够准确反映结构面间距的真实分布情况。
[Abstract]:Structural plane spacing is an important parameter to characterize the integrity of rock mass. Due to the inhomogeneity of structural plane distribution and the complexity of geological structure, the commonly used probability distribution can not accurately describe the distribution characteristics of structural plane spacing. According to the energy balance of rock mass, the maximum entropy principle is used to deduce the probability distribution of the structural plane spacing according to the energy balance of the rock mass and the statistical moment of the structure plane spacing. The probability distribution of the structural plane spacing estimated by the maximum entropy principle is unbiased and consistent, the maximum entropy form of the distribution function commonly used in the structural plane spacing is given, and the Monte Carlo simulation method is used to simulate the three-dimensional network of the structure plane. K-S test is used to verify the applicability and accuracy of maximum entropy estimation of the probability distribution of structure spacing. The maximum entropy probability distribution is better than that of negative exponential distribution or logarithmic normal distribution, which can accurately reflect the true distribution of structural plane spacing.
【作者单位】：中交公路规划设计院有限公司;同济大学岩土及地下工程教育部重点实验室;同济大学土木工程学院地下建筑与工程系;
【基金】：国家自然科学基金资助项目(41272289)~~
【分类号】：TU45

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