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基于χ^2函数的e-p曲线模型 被引量:1

The e-p curve model based on χ2 function
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摘要 首次基于χ2概率分布函数,土颗粒空间分布采用立方体排列,土颗粒间距假设符合χ2概率分布,建立土体微观模型。针对不同分布的土体采用信息熵描述,得到土体熵随着压力的增大而减小。对6组试验曲线进行拟合分析,获得不同压力下的相对空间自由度变化趋势、土颗粒间距概率分布趋势,各个土体的相对空间自由度在2.4~2.9之间,并没有超过3和小于2;土颗粒间距比优势区间在2附近,并随着压力的增大,最大概率和优势区间分别增大和减小。 A micro soil model is established based on the χ2 function. the cubic arrangement is used to describe the soil particles. The probability distribution is assumed to agree with the χ2 function. Different distributed soils are described with the information entropy,indicating that the entropy decreases with the increasing pressure. Six groups of data are tested and the relative spatial degree of freedom distribution tend of soils and the probability distribution of soil particle spacing are obtained. The relative spatial degree of freedom ranges from 2. 4 to 2. 9,and is less than 3 greater than 2; the edge of soil particle spacing is about 2,and the edge and maximum probability decreases and increases respectively. The micro soil model is based on the χ2 function,which describes the statistical characteristics of sois,and provides reference for the description of soil microstructure.
出处 《水文地质工程地质》 CAS CSCD 北大核心 2016年第4期84-88,共5页 Hydrogeology & Engineering Geology
关键词 E-P曲线 分布函数 微观 相对空间自由度 e-p curve distribution function microcosmic relative spatial degrees of freedom
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