Study on Rock Burst Prediction of Deep Buried Tunnel Based on Cusp Catastrophe Theory
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ORIGINAL PAPER
Study on Rock Burst Prediction of Deep Buried Tunnel Based on Cusp Catastrophe Theory Chen Qiao
. Yan-hua Guo . Chang-hong Li
Received: 23 July 2020 / Accepted: 28 August 2020 Ó Springer Nature Switzerland AG 2020
Abstract Deep coal mining changes the original rock state, stress concentration occurs in the process of self-stabilizing adjustment of surrounding rock. At this time, rock burst is very easy to occur, which brings great threat to mine safety production. Based on catastrophe theory, the energy catastrophe criterion, displacement mode catastrophe criterion and entropy catastrophe criterion for surrounding rock system of deep buried tunnel are established in this paper. And the criteria are applied to the stability judgment of surrounding rock in Binchang coal mine. The analysis results show that the energy eigenvalue, displacement eigenvalue and entropy information eigenvalue for surrounding rock of deep buried tunnel suddenly jump and the surrounding rock loses stability when the excavation reaches the fourth step. The accuracy of the criterion is verified by laboratory test and FLAC3D numerical simulation. The above criteria can be used to judge the possibility of instability from different aspects according to the system mutation conditions, which can provide some reference for preventing local
C. Qiao (&) C. Li Beijing Key Laboratory of Urban Underground Space Engineering, School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China e-mail: [email protected] Y. Guo School of Civil Engineering, Hebei University of Engineering, Handan 056038, China
surrounding rock system instability in the process of excavation disturbance of deep buried tunnel. Keywords Catastrophe theory Cusp catastrophe model Deep buried tunnel Rock burst prediction
1 Introduction The process of elastic deformation, plastic deformation, crack and collapse failure of tunnel surrounding rock is a nonlinear process (Miao et al. 2016; Pu et al. 2019; Wu et al.2019). Catastrophe theory focuses on how the continuous change of some variables causes the discontinuity of the system, so it is a powerful tool to study the nonlinear system problems such as rock burst (Han et al. 2019; Wang et al. 2017). So far, many scholars have used catastrophe theory to study the instability of surrounding rock, and have made a lot of progress. Zhou et al. (2020) studied the local emplacement and instability characteristics of Xigeda stratum tunnel through laboratory tests and numerical simulation. They put forward the identification equation of surrounding rock stability of the tunnel, and verified the rationality of the results combined with field monitoring. From the perspective of energy, Zhou et al. (2019) used FLAC3D to calculate the energy in the excavation process of three-dimensional open-pit mine slope model, and established the criterion of
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