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科技导报
| 研究论文 2013, 31(36): 41-45
基于多元正态分布理论的盐岩蠕变参数概率分布
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马纪伟, 王芝银
作者信息
中国石油大学(北京)城市油气输配技术北京市重点实验室, 北京 102249
Probability Distribution of Rock Salt Creep Parameters Based on Multivariate Normal Distribution
Affiliations
出版时间: 2013-12-28
doi: 10.3981/j.issn.1000-7857.2013.36.006
文章导航
根据某拟建储气库库址盐岩的蠕变实验数据和蠕变变化规律，基于伯格斯蠕变模型拟合得到该库区盐岩的蠕变参数。将各蠕变参数当作随机变量，考虑盐岩形成过程及蠕变实验过程中多种随机因素对蠕变参数的影响。考虑各蠕变参数之间的相互联系，假设由各蠕变参数变量共同构成的五维总体随机样本服从五元正态分布，求解得到该五元正态分布的联合密度函数，通过协方差阵揭示各蠕变参数之间的联系，并利用χ 2 统计量的Q-Q图检验法对多元正态假设进行检验。结果表明，由各蠕变参数变量共同构成的五维总体随机样本可以很好地服从五元正态分布。研究结果可为盐岩蠕变参数概率分布的研究提供参考。
盐岩
/
伯格斯模型
/
蠕变参数
/
概率分布
/
多元正态分布
According to the rock salt creep experimental data at a would-be gas storage site and their variation pattern, based on the Burgers creep model fitting, the rock salt creep parameters of the gas storage are obtained. Taking each of the creep parameters as a random variable, the influence of many random factors on the creep parameters is studied during the rock salt formation and its creep experiment process. Considering the linkages between the creep parameters, assuming a five variable overall random sample constituted by the creep parameter variables in accordance with a five variable normal distribution, the joint density function of the five variable normal distribution is obtained. Then the link between the creep parameters is revealed through the covariance matrix, and the multivariate normal distribution assumption is tested by the Q-Q test method of the χ 2 statistics. It is shown that the five variable overall random sample constituted by the creep parameter variables can be very well represented by the five variable normal distribution. The results provide an insight for the probability distribution of rock salt creep parameters.
rock salt
/
Burgers model
/
creep parameters
/
probability distribution
/
multivariate normal distribution
马纪伟, 王芝银.
基于多元正态分布理论的盐岩蠕变参数概率分布.
科技导报,
2013
, 31
(36)
: 41
-45
.
DOI: 10.3981/j.issn.1000-7857.2013.36.006
MA Jiwei, WANG Zhiyin.
Probability Distribution of Rock Salt Creep Parameters Based on Multivariate Normal Distribution[J].
Science & Technology Review ,
2013
, 31
(36)
: 41
-45
.
DOI: 10.3981/j.issn.1000-7857.2013.36.006
2013年第31卷第36期
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文章信息
doi: 10.3981/j.issn.1000-7857.2013.36.006
接收时间：2013-06-07
首发时间：2014-01-15
出版时间：2013-12-28
收稿日期：2013-06-07
修回日期：2013-10-14
https://castjournals.cast.org.cn/joweb/kjdb/CN/10.3981/j.issn.1000-7857.2013.36.006
引用本文
BibTeX
2种不同金属材料的力学参数
科 属数 种数 占总种数比例 属 种数 占总种数比例 鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78 小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39 多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39 红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87 小菇属 Mycena 11 5.26 光柄菇属 Pluteus 5 2.39 红菇属 Russula 17 8.13 栓菌属 Trametes 5 2.39
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