Analysis of nonlinear dynamic character in the surrounding rock system for deep buried underground engineering

• DOI: 10.1007/s12404-010-0406-y
• Publication Date: 2010-12-22T12:12:49Z
• Authors: Yu Zhao; Hai-you Peng
• Keywords: Correlation dimension

Combining the field monitoring results of a deep-buried tunnel in Chongqing, the dynamic characteristics of the surrounding rock system under high in situ stress was analyzed by phase space reconstruction, calculating correlation dimension, Kolmogorov entropy and largest Lyapunov exponents. Both the Kolmogorov entropy and largest Lyapunov exponents show that the surrounding rock system is a chaotic one. Based on this, a local model was applied to predict surrounding rock displacement, and a nonlinear dynamic model was derived to forecast the interaction of the surrounding rock and support structure. The local method was found to have an extremely small total error. Also, the nonlinear dynamic model forecasting curves agree with the monitoring ones very well. It is proved that the nonlinear dynamic characteristic study is very important in analyzing rock stability and predicting the evolution of rock systems.