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中文摘要：
基于井筒变形实际监测沉降数据，提出了利用混沌理论相空间重构技术研究井筒变形特征的新思路。研究了井筒变形系统的相空间重构、关联维数的确定、Lyapunov指数的计算、稳定性分析等问题。试验结果表明：井筒变形系统是一个混沌，井筒变形受到多因素影响。得出最大Lyapunov指数可以作为变形体内部不同部分动态变形状态的指标。这一有工程意义的结论，可以为井筒稳定性判定提供支持。
英文摘要：
A new idea was put forward to the chaotic characteristics of deformation of mine shaft by means of phase space reconstruction of chaotic. Problems of space reconstruction of deformation value, correlation dimension determination, Lyapunov exponent calculation and stability were discussed. The result of the simulation experiment shows that the deformation system is a chaotic system, and affected by many factors; the biggest Lyapunov exponent may serve as the determinations standard of shaft deformation. The research can offer some help for the policy - making of the determination of stability in goaf.
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