1. 1. 西安理工大学土木建筑工程学院,陕西 西安 710048;
2. 陕西省黄土力学与工程重点实验室,陕西 西安 710048
• 收稿日期:2015-08-08 修回日期:2015-10-06 出版日期:2015-11-20
• 基金资助:
陕西省高校省级重点实验室重点科研计划基金项目“隧道超前地质预报TSP法的地震波场研究”（编号：2010JS085）资助

### The Application and Research Progress of Catastrophe Theory in Slope Engineering

Fan Liuming 1, 2, Geng Pengchao 1

1. 1. School of Civil Engineering and Architecture, Xi 'an University of Technology, Xi 'an 710048, China;
2. Shaanxi Provincial Key Laboratory of Loess Mechanics and Engineering, Xi 'an 710048, China
• Received:2015-08-08 Revised:2015-10-06 Online:2015-11-20 Published:2015-11-20
• About author:First author: Fan Liuming(1968-), male, Jiaozuo City,He’nan Province, Professor. Research areas include research of earthquake engineering and nonlinear science. E-mail: fanliuming@xaut.edu.com
• Supported by:
Project supported by the Key Scientific Research Project Funds of Shaanxi Provincial Key Laboratory in Colleges and Universities “ The seismic wave field study of TSP method ” (No: 2010JS085)

Catastrophe theory is an important branch in the field of nonlinear science. As a mathematical tool, it is widely used in many fields, especially in the slope engineering. Firstly the development history and basic principle of catastrophe theory are briefly described in this paper, and then from three aspects the application and research progress of catastrophe theory in slope engineering are discussed, including the stability analysis of the slope based on cusp catastrophe method, the slope stability estimation based on catastrophe progression method and the cusp catastrophe prediction model for landslide time forecast based on gray theory and fuzzy mathematics. This paper focuses on the corresponding theoretical model, application method and effect, and discusses the development trend of catastrophe theory in slope engineering according to current problems in the end.