隧道围岩断面轮廓分维数的小波分析算法及应用

张鹏; 陈剑平; 赵安平; 张丽

隧道围岩断面轮廓分维数的小波分析算法及应用

张鹏^1,2,
陈剑平¹,
赵安平³,
张丽⁴

1.
吉林大学建设工程学院长春 130026;
2.
湖南省交通规划勘察设计院长沙 410008;
3.
黑龙江大学建筑工程学院哈尔滨 150086;
4.
吉林建筑工程学院测绘与勘查工程学院长春 130026

基金项目:

国家自然科学基金项目(40872170),吉林大学985计划项目(105213200500007)

详细信息

作者简介:
张鹏,工程地质专业,主要从事公路勘察与工程地质灾害方面的研究.Email: wjzzp@163.com

中图分类号: P642
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出版历程
- 收稿日期: 2009-08-20
- 修回日期: 2011-07-20
- 刊出日期: 2011-10-25

WAVELET ANALYSIS AND APPLICATION FOR FRACTAL DIMENTION OF TUNNEL SURROUNDING ROCK OUTLINE

1.
College of Construction Engineering,Jilin University,Changchun 130026;
2.
Hunan Provincial Communications Planning,Survey & Design Institute, Changsha 410018;
3.
College of Architecture Engineering Heilongjiang University, Harbin 150086;
4.
College of Mapping and Survey Engineering,Jilin Architectural and civil Engineering Institute,Changchun 130026

摘要

摘要: 隧道的超欠挖对衬砌结构稳定性影响较大,研究其规律,对于掌握围岩受力,确保施工安全,具有深远意义。隧道断面轮廓超欠挖序列具有统计自相似性,根据小波分析的多分辨率的特点,本文给出了利用小波理论估计分维数的方法。选定恰当的小波函数和分解层数,对隧道围岩断面的整体轮廓、拱顶和边墙的超欠挖序列分别进分形维数的小波分析估算,结果安全可靠。根据计算结果,分析了设计围岩类别与断面轮廓曲线分形维数估计值之间的关系,并结合现场实际情况,简明分析了断面轮廓分形维数与围岩稳定性之间的关系。
- 小波分析 /
- 隧道围岩断面轮廓 /
- 分形 /
- 稳定性
Abstract: The stability of line structure is influenced by under-excavation or over-excavation of rocks surrounding tunnels.It is of a great significance for understanding the surrounding rock stress and ensuring construction safety to research the law of under-excavation over-excavation for surrounding rocks of tunnels.This paper is based on the multi-resolution analysis of wavelet analysis and the statistical self-similarity on the surrounding rock under-excavation over-excavation for tunnels outline.It presents an approach of the fractal dimension estimation with wavelet analysis.The research results have shown that the suggested wavelet estimation method is satisfied by selection of appropriate wavelet functions and decomposition steps.The fractal dimension of overall outline,tunnel vault and tunnel wall have been calculated with wavelet analysis.The relationship between classes of surrounding rocks and the fractal dimension of tunnel outline is analyzed.The relationship between the stability of surrounding rocks and the fractal dimension of tunnel outline is also analyzed with combining with the actual situation.
- Wavelet analysis /
- Tunnel surrounding outline /
- Fractal /
- Stability

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参考文献(1)

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