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论文摘要

板岩遇水崩解的分形模型研究

Research on Fractal Model of Water-immersed Collapse of Slate

作者:吴秀仪(四川大学 水利水电学院,四川 成都 610065);刘长武(四川大学 水利水电学院,四川 成都 610065);赵凯(四川大学 水利水电学院,四川 成都 610065)

Author:(School of Water Resource and Hydropower,Sichuan Univ., Chengdu 610065,China);(School of Water Resource and Hydropower,Sichuan Univ., Chengdu 610065,China);(School of Water Resource and Hydropower,Sichuan Univ., Chengdu 610065,China)

收稿日期:2007-05-17          年卷(期)页码:2008,40(3):33-36

期刊名称:工程科学与技术

Journal Name:Advanced Engineering Sciences

关键字:板岩; 崩解; 破碎; 分形

Key words:slate; collapse; fragment; fractal

基金项目:国家自然科学基金资助项目(50574064)

中文摘要

板岩遇水作用后,会引起某些物理、化学和力学等性质的改变。水岩相互作用是一个极其复杂的过程,一直很难找到一个定量指标来描述。针对板岩遇水崩解的特性,应用分形理论中的关联分数维对其崩解特性进行研究,建立板岩崩解的分形模型。通过质量求解板岩崩解的分维数,做崩解试验可得到一系列分维数值;根据分维数值的变化,可得出板岩崩解的分维数随泡水时间增长的变化规律,并应用这个模型解决南水北调西线工程中深埋长隧洞遇水软化、崩解的工程问题。

英文摘要

Under the affect of water, slate features are charged, such as: physics, chemistry and mechanics, etc. It is a very complex process to water and rock interaction. And the quantify index that describes the process is still difficult to obtain.Aimed at the characteristic of water immersed collapse of slate, this article used the correlation fractal dimension of fractal theory to study the characteristic of collapse of slate and found the fractal model of collapse of slate. The fractal dimension of slate collapse is solved through quality. A series of fractal dimension values were obtained through collapse experiment. According to these values changing, the regularity that fractal dimension of slate collapse is changed with the water-immersed time increasing is obtained. This model was applied to solve the problem of water-immersed softening and collapsing of slate when constructing deep-long tunnel in west line of S-N water transfer project.

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