单轴压缩下岩石能量演化的非线性特性研究

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Abstract Energy conversion during rock deformation and failure is a dynamic process，and it can be mainly divided into four subprocesses：energy input，energy accumulation，energy dissipation and energy release. Based on connection analysis of different energy conversion mechanisms，a self-repression model of energy transform with axial stress is founded；and the model is approved to be suited with the energy evolution in front of peak stress via experiments on red sandstone specimens. Energy density serials with axial stress follow standard Logistic mapping，and it is of the characteristics of bifurcation and chaos. When the axial stress reaches about 92% of peak stress，the rock system turns into period of doubling bifurcation region；and when 97.5% of peak stress，the rock system turns into chaos region. A parameter μ，called iterative growth factor，which is a monotonically increasing function of axial stress，is proposed；and a new warning criterion for rock failure，that is μ = 3，is brought out preliminarily.

Key words： rock mechanics energy evolution uniaxial compression Logistic equation chaos

Received: 12 January 2012

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http://www.rockmech.org/EN/Y2012/V31/I6/1198

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