Environmental Earth Sciences

, Volume 69, Issue 5, pp 1529–1535 | Cite as

Study on fractal dimensions of the silty soil around the tunnel under the subway loading in Shanghai

  • Chun-Ling Yan
  • Yi-Qun TangEmail author
  • Yu-Ting Liu
Original Article


Based on the global digital systems, by fully considering the factors of the accumulated deformation, such as the frequency, the dynamic stress amplitude as well as the consolidation ratio, the mercury intrusion test was conducted to quantitatively study the microstructures of the silty soil around the tunnel near the Guoquan station of line No. 10 Subway in Shanghai. The thermodynamic model was used to calculate fractal dimensions in the analysis of the mercury intrusion data. The results show that the relationship of ln(W n /r n 2 ) and lnQ n was a significant linear correlation and the correlation coefficient is over 0.98. The relationship between the fractal dimensions and the frequency, the dynamic stress amplitude as well as the consolidation ratio was analyzed; the variation law of the residual strain with the fractal dimensions was obtained. The study offers the theoretical support for damage mechanics, the subway axial deformation and the ground settlement under the subway vibration loading.


Subway loading Fractal dimension Soil dynamic test Silty soil 



This investigation is supported by the National Natural Science Foundation of China, Project No. 40872178, and Shanghai Leading Academic Discipline Project, Project No. B308, and Kwang-Hua Fund for College of Civil Engineering, Tongji University. The authors are deeply indebted to the three financial supporters.


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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.School of Civil and Architectural Engineering, Anyang Institute of TechnologyAnyangPeople’s Republic of China
  2. 2.Key Laboratory of Geotechnical and Underground Engineering of Ministry of EducationTongji UniversityShanghaiPeople’s Republic of China
  3. 3.Department of Geotechnical EngineeringTongji UniversityShanghaiPeople’s Republic of China

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