推断岩土参数概率分布的二维正态信息扩散法

doi:10.13722/j.cnki.jrme.2017.1658

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摘要提出推断岩土参数概率分布的二维正态信息扩散法。基于正态信息扩散原理，并考虑二维岩土参数的相关性，建立了二维正态信息扩散法模型的一般表达形式。结合K-S检验法的原理和二维岩土参数的分布特点，提出了一种改进的二维分布K-S检验法和具体的检验步骤。以某水电站工程中的二维抗剪强度参数作为实例，利用二维正态分布和二维正态信息扩散分布对实际数据的分布进行了拟合比较，并利用二维K-S检验方法进行了检验。研究结果表明，二维正态信息扩散分布的检验值要低于二维正态分布的检验值，二维正态信息扩散分布函数更加接近实际数据的分布，表明二维正态信息扩散分布在描述岩土参数概率分布方面更有优势。研究结果也表明，二维正态信息扩散函数的边缘分布同样服从一维正态信息扩散分布，并且其精度同样比一维正态分布高。

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	宫凤强
	黄天朗
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关键词 ：岩土工程, 二维岩土参数, 概率分布, 正态信息扩散, 正态分布, 边缘分布, 相关系数

Abstract：A two-dimensional normal information diffusion method was proposed to infer the probability distributions of geotechnical parameters. A general expression of two-dimensional normal information diffusion model was established considering the correlation of two-dimensional geotechnical parameters and the principle of normal information diffusion. The two-dimensional distribution K-S test method was improved and the corresponding specific test procedure was proposed. The two-dimensional shear strength parameters of the geo-materials at a hydropower station project were used as an example，and their distributions were fitted with the two-dimensional normal distribution and two-dimensional normal information diffusion distribution. The proposed two-dimensional distribution K-S test method was used to test the fitting accuracy of the two distributions obtained above. The results show that the testing value of the two-dimensional normal distribution is lower than that of two-dimension normal distribution and that the distribution function of two-dimensional normal information diffusion is closer to the actual distribution of data，showing that the two-dimensional normal information diffusion distribution is better in describing the probability distribution of two-dimensional geotechnical parameters. The edge distribution of the two-dimensional normal information diffusion function obeys the one dimensional normal information diffusion distribution，and the accuracy is also higher than that of the one dimensional normal distribution.

Key words： geotechnical engineering two-dimensional geotechnical parameters probability distribution normal information diffusion normal distribution marginal distribution correlation coefficient

引用本文:

宫凤强，黄天朗，王天成. 推断岩土参数概率分布的二维正态信息扩散法[J]. 岩石力学与工程学报, 2018, 37(10): 2232-2242.
GONG Fengqiang，HUANG Tianlang，WANG Tiancheng. A two dimensional normal information diffusion inference method for probabilistic distributions of geotechnical parameters. , 2018, 37(10): 2232-2242.

链接本文:

http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2017.1658 或 http://www.rockmech.org/CN/Y2018/V37/I10/2232

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