Application of Catastrophe Theory in Surrounding Rock Stability

Article Preview

Abstract:

Surrounding rock system of underground engineering is highly nonlinear, and there is no unified cognition for its stability criteria. Introduces the basic principle of catastrophe theory, focusing on the cusp catastrophic model, build a simplified mechanical model for the surrounding rock, and the instability of surrounding rock of the cusp catastrophic model is obtained. In practical engineering, it is show that catastrophe theory is an effective method to study the instability problem of the tunnel.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 712-715)

Pages:

974-978

Citation:

Online since:

June 2013

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2013 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] XU Chuan-hua. REN Qing-wen. Criterion of entropy catastrophe of stability of surrounding rock[J]. Rock andSoil Mechanics, 2004, 25(3): 437-440.

Google Scholar

[2] XU Chuan-hua, REN Qing-wen. Nonlinear theories research of stability of surrounding rock stability[J]. Geotechnical Engineering Technique, 2003, (3): 142-146.

Google Scholar

[3] XU Chuan-hua.Research of Nonlinear Theories and Its Application on Failure of Rock Mass[D]. Nanjing: Hohai University, 2004.

Google Scholar

[4] HenIey S. Catastrophe theory models in geology [J]. Mathematical Geology,1976,8(6):649 -655.

Google Scholar

[5] Saunders P T. An introduction to catastrophe theory[M].London:Cambridge University Press,(1980)

Google Scholar

[6] Keilis-Borok VI. The lithosphere of the earth as a nonlinear system with implications for earthquake prediction[J]. Rev. Geophys. ,1990,28:19 -34.

DOI: 10.1029/rg028i001p00019

Google Scholar

[7] Chen Xian-gio. Study on Failure and Criteria of Tunnel Structure [D].Chengdu: Southwest Jiaotong University,2002.

Google Scholar

[8] MO Yang-chun. Stability study on high pressure filling karst tunnel [D]. Chengdu: Southwest Jiaotong University,2009.

Google Scholar