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工程科学与技术:2014,46(5):22-27
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盐岩的分数阶导数蠕变模型
(1.四川大学 能源工程安全与灾害力学教育部重点实验室 建筑与环境学院;2.四川大学 水利水电学院)
Fractional Derivative Creep Model of Salt Rock
(1.Key Lab.of Energy Eng. Safety and Disaster Mechanics of Ministry of Education,College of Architecture and Environment,Sichuan Univ.;2.College of Water Resource and Hydropower,Sichuan Univ.)
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投稿时间:2014-01-01    修订日期:2014-03-21
中文摘要: 盐岩蠕变特性是影响能源深部地下储存库长期运营的重要决定因素。利用基于分数阶导数定义得到的Abel粘壶以及带应变触发的Abel粘壶建立新的分数阶导数蠕变模型。通过4个月的盐岩蠕变试验,获得全过程蠕变曲线,基于盐岩蠕变试验数据,对分数阶导数蠕变模型的参数进行拟合分析,确定模型中的参数,并对建立的分数阶导数蠕变模型与西原正夫模型进行对比分析。结果表明:分数阶导数蠕变模型与试验数据吻合得更好,不仅克服了整数阶蠕变模型在初始阶段与试验数据不能很好吻合的弊端,又能反映盐岩全过程蠕变特征。
Abstract:The creep property of the salt rock is an important determinant of deep underground repository of energy for long-term operation.New fractional derivative creep model was built by using the Abel dashpot and Abel dashpot with strain triggered based on the definition of fractional derivative. Through over 4 months’ experiment,creep curve for the whole process was got.Based on the experimental data of the salt rock creep,fitting analysis on parameters of fractional derivative creep constitutive model was provided and the parameters of the model were determined.In addition, comparing the fractional derivative creep model with the Nishihara model, it is found that fractional derivative model is in better agreement with the experimental data.The model not only overcomes the drawback that integer-order creep model is not in good agreement with the experimental data at the primary creep stage, but also reflects the whole process of creep characteristics of salt rock.
文章编号:201400001     中图分类号:    文献标志码:
基金项目:国家自然科学基金资助项目(51120145001;51104101;51374148)
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吴斐,刘建锋,边宇,周志威.盐岩的分数阶导数蠕变模型[J].工程科学与技术,2014,46(5):22-27.
Wu Fei,Liu Jianfeng,Bian Yu,Zhou Zhiwei.Fractional Derivative Creep Model of Salt Rock[J].Advanced Engineering Sciences,2014,46(5):22-27.